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P. Abramenko, University of Virginia, Charlottesville, A. Adem, University of Wisconsin, Madison, WI, USA; M. Akhmet, Middle East Technical University,
VA, USA; K. S. Brown, Cornell University, Ithaca, NY, R. J. Milgram, Stanford University, Stanford, CA, USA Ankara, Turkey
USA
Cohomology of Finite Groups Nonlinear Hybrid Continuous/
Buildings Discrete-Time Models
The cohomology of groups has been the stage
Theory and Applications for significant interaction between algebra and
This book examines the author‘s recently-
topology, leading to the creation of important new
Covering all three approaches to Jacques Tits‘s introduced theory of equations with piece-wise
fields in mathematics, like homological algebra
beautiful theory of buildings, this accessible vol- constant argument of generalized type, demon-
and algebraic K-theory. This is the first book to
ume is suitable as a textbook introduction to the strating its use in the modeling of such real world
deal comprehensively with the cohomology of
subject as well as a self-study text for researchers. problems as neural networks, blood pressure
finite groups. The 2nd edition contains many more
It contains numerous exercises. distribution and others.
cohomology calculations for the sporadic groups,
obtained by the authors and their collabora- 2011. XIV, 217 p. 23 illus., 19 in color. (Atlantis
Softcover reprint of hardcover 1st ed. 2008. tors over the past decade. Chapter III on group
XXII, 754 p. 100 illus. Book (Paperback Initiative). Studies in Mathematics for Engineering and Science,
cohomology and invariant theory has been revised Volume 8) Hardcover
(Graduate Texts in Mathematics, Volume 248) and expanded. New references arising from recent
Softcover ISBN 978-94-91216-02-2
developments in the field have been added, and 7 € 79,95 | £72.00
ISBN 978-1-4419-2701-9 the index substantially enlarged.
7 € 46,95 | £42.99 7 * € (D) 85,55 | € (A) 87,95 | sFr 115,00
7 * € (D) 50,24 | € (A) 51,65 | sFr 73,00 Softcover reprint of hardcover 2nd ed. 2004. Yellow Sale Price
VIII, 324 p. Book (Paperback Initiative). (Grundlehren 7 € 46,99 | £42.99
Yellow Sale Price der mathematischen Wissenschaften, Volume 309)
7 € 24,99 | £22.99 7 * € (D) 50,28 | € (A) 51,69 | sFr 63,00
Softcover
7 * € (D) 26,74 | € (A) 27,49 | sFr 33,50 ISBN 978-3-642-05785-4
9<HTMEPB=jchabj> 7 € 89,95 | £81.00
7 * € (D) 96,25 | € (A) 98,95 | sFr 140,00
9<HTUEUB=cbgac >
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M. Adams, University of Georgia, Athens, GA, USA; M. Aigner, Freie Universität Berlin, Germany S. Albeverio, University of Bonn, Germany; R. Fan,
V. Guillemin, MIT, Cambridge, MA, USA Texas A&M University, College Station, TX, USA;
A Course in Enumeration F. S. Herzberg, Bielefeld University, Germany
Measure Theory and Probability
Combinatorial enumeration is a readily acces- Hyperfinite Dirichlet Forms and
„…the text is user friendly to the topics it consid- sible subject full of easily stated, but sometimes
ers and should be very accessible…Instructors tantalizingly difficult problems. This book leads Stochastic Processes
and students of statistical measure theoretic the reader in a leisurely way from basic notions of
This monograph covers the theory of Dirich-
courses will appreciate the numerous informative combinatorial enumeration to advanced topics,
let forms. It examines the symmetric as well as
exercises; helpful hints or solution outlines are ranging from algebra to statistical physics.
the non-symmetric case, surveys the theory of
given with many of the problems. All in all, the
hyperfinite Lévy processes and summarizes the
text should make a useful reference for profession- Softcover reprint of hardcover 1st ed. 2007. model-theoretic genericity of hyperfinite stochas-
als and students.“—The Journal of the American X, 565 p. 55 illus. Book (Paperback Initiative). tic processes theory.
Statistical Association (Graduate Texts in Mathematics, Volume 238)
Softcover 2011. XIV, 284 p. 1 illus. in color. (Lecture Notes of the
1996. 228 p. (The Wadsworth & Brooks/Cole ISBN 978-3-642-07253-6 Unione Matematica Italiana, Volume 10) Softcover
Mathematics Series) Hardcover 7 € 64,95 | £58.99 ISBN 978-3-642-19658-4
ISBN 978-0-8176-3884-9 7 * € (D) 69,50 | € (A) 71,45 | sFr 101,00 7 € 44,95 | £40.99
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7 * € (D) 24,60 | € (A) 25,29 | sFr 31,00
9<HTOGPC=ahcfdg> 9<HTOGPC=bjgfie>
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Sale prices valid until July 31, 2013 | 1
4. Yellow Sale 2013 | English Titles springer.com/yellowsale
A. Alexandrov K. T. Alligood, T. D. Sauer, George Mason University, H. Ammari, Ecole Polytechnique, Palaiseau, France;
Fairfax, VA, USA; J. A. Yorke, University of Maryland, H. Kang, Seoul National University, Seoul, Korea
Convex Polyhedra College Park, MD, USA
Transl. Russian: N. Dairbekov, S. S. Kutateladze, Polarization and Moment
A. Sossinsky Chaos Tensors
An Introduction to Dynamical Systems
With Applications to Inverse Problems and
Convex Polyhedra is one of the classics in geom-
etry. There simply is no other book with so many Developed and class-tested by a distinguished Effective Medium Theory
of the aspects of the theory of 3-dimensional team of authors at two universities, this text is in-
tended for courses in nonlinear dynamics in either This book presents important recent developments
convex polyhedra in a comparable way, and in in mathematical and computational methods used
anywhere near its detail and completeness. It is mathematics or physics. The only prerequisites are
calculus, differential equations, and linear algebra. in impedance imaging and the theory of compos-
the definitive source of the classical field of convex ite materials. The methods involved come from
polyhedra and contains the available answers to Along with discussions of the major topics, inclu-
ding discrete dynamical systems, chaos, fractals, various areas of pure and applied mathematics,
the question of the data uniquely determining a such as potential theory, PDEs, complex analysis,
convex polyhedron. This question concerns all nonlinear differential equations and bifurcations,
the text also includes Lab Visits -- short reports and numerical methods. The unifying thread in
data pertinent to a polyhedron, e.g. the lengths of this book is the use of generalized polarization and
edges, areas of faces, etc. that illustrate relevant concepts from the physical,
chemical and biological sciences. moment tensors. The main approach is based on
Softcover reprint of hardcover 1st ed. 2005. modern layer potential techniques.
XII, 542 p. 165 illus. Book (Paperback Initiative). 1st ed. 1997. Corr. 3rd printing 2000. XVIII, 604 p. Softcover reprint of hardcover 1st ed. 2007. X, 312 p.
(Springer Monographs in Mathematics) Softcover 303 illus., 25 in color. (Textbooks in Mathematical 25 illus. Book (Paperback Initiative). (Applied
ISBN 978-3-642-06215-5 Sciences) Softcover Mathematical Sciences, Volume 162) Softcover
7 € 124,95 | £112.50 ISBN 978-0-387-94677-1 ISBN 978-1-4419-2449-0
7 * € (D) 133,70 | € (A) 137,45 | sFr 166,50 7 € 49,95 | £44.99 7 € 74,95 | £67.99
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9<HTOGPC=agcbf > 9<HTLDTH=jegh b> 9<HTMEPB=jce ja>
E. Allen, Texas Tech University, TX, USA L. Ambrosio, N. Gigli, Scuola Normale Superiore, F. W. Anderson, University of Oregon, Eugene, OR,
Pisa, Italy; G. Savaré, University of Pavia, Italy USA; K. R. Fuller, University of Iowa, Iowa City, IA,
Modeling with Itô Stochastic USA
Differential Equations Gradient Flows
In Metric Spaces and in the Space of
Rings and Categories of
Dynamical systems with random influences occur Probability Measures Modules
throughout the physical, biological, and social
sciences. By carefully studying a randomly vary- This book is devoted to a theory of gradient flows This book is intended to provide a self-contained
ing system over a small time interval, a discrete in spaces which are not necessarily endowed with account of much of the theory of rings and
stochastic process model can be constructed. a natural linear or differentiable structure. The modules. The theme of the text throughout is
Next, letting the time interval shrink to zero, an book originates from lectures by L. Ambrosio at the relationship between the one-sided ideal
Ito stochastic differential equation model for the the ETH Zürich in Fall 2001 and contains new structure a ring may possess and the behavior of
dynamical system is obtained. This modeling pro- results. its categories of modules. Following a brief outline
cedure is thoroughly explained and illustrated for of the foundations, the book begins with the basic
randomly varying systems in population biology, 2nd ed. 2008. VII, 334 p. (Lectures in Mathematics. definitions and properties of rings, modules and
chemistry, physics, engineering, and finance. ETH Zürich (closed)) Softcover homomorphisms.
ISBN 978-3-7643-8721-1
Softcover reprint of hardcover 1st ed. 2007. 7 € 49,95 | £44.99
2nd ed. 1992. X, 392 p. (Graduate Texts in
XII, 230 p. Book (Paperback Initiative). (Mathematical 7 * € (D) 53,45 | € (A) 54,95 | sFr 66,50 Mathematics, Volume 13) Hardcover
Modelling: Theory and Applications, Volume 22) ISBN 978-0-387-97845-1
Softcover Yellow Sale Price
7 € 69,95 | £62.99
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7 * € (D) 74,85 | € (A) 76,95 | sFr 109,00
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7 € 49,99 | £44.99
9<HTOHRE=dihcb > 7 € 34,99 | £31.99
7 * € (D) 37,44 | € (A) 38,49 | sFr 47,00
7 * € (D) 53,49 | € (A) 54,99 | sFr 67,00
9<HTUAPI=bheihe> 9<HTLDTH=jhiefb>
2 | More title information online at springer.com
5. Order Online Yellow Sale 2013 | English Titles
S. Anita, University `Al.I. Cuza‘ Iasi, and Institute of V. Araújo, Universidade do Porto and Instituto de M. Arkowitz, Dartmouth College, Hanover, NH, USA
Mathematics, Romanian Academy, Iasi, Romania Matemática, UFRJ, Brazil; M. J. Pacifico, Universidade
Federal do Rio de Janeiro, Brazil
Introduction to Homotopy
Analysis and Control of Theory
Age-Dependent Population Three-Dimensional Flows
Preface by: M. Viana, IMPA, Rio de Janeiro, Brazil This is a book in pure mathematics dealing with
Dynamics homotopy theory, one of the main branches of
Offering the first comprehensive treatment of this algebraic topology. The principal topics are as fol-
This volume is devoted to some of the most bio-
subject in book form, this volume presents the lows: Basic Homotopy; H-spaces and co-H-spaces;
logically significant control problems governed by
elements of a general theory for flows on three- fibrations and cofibrations; exact sequences of
continuous age-dependent population dynamics.
dimensional compact boundaryless manifolds, homotopy sets, actions, and coactions; homotopy
It investigates the existence, uniqueness, positivity,
encompassing flows with equilibria accumulated pushouts and pullbacks; classical theorems, in-
and asymptotic behaviour of the solutions of the
by regular orbits. cluding those of Serre, Hurewicz, Blakers-Massey,
continuous age-structured models. Some com-
and Whitehead; homotopy Sets; homotopy and
parison results are also established. In the optimal
2010. XIX, 355 p. 16 illus. in color. (Ergebnisse der homology decompositions of spaces and maps;
control problems the emphasis is on first order nec-
Mathematik und ihrer Grenzgebiete. 3. Folge / A and obstruction theory. The underlying theme
essary conditions of optimality. These conditions
Series of Modern Surveys in Mathematics, Volume of the entire book is the Eckmann-Hilton duality
allow the determination of the optimal control or
53) Hardcover theory. The book can be used as a text for the
the approximation of the optimal control problem.
ISBN 978-3-642-11413-7 second semester of an advanced ungraduate or
Softcover reprint of hardcover 1st ed. 2000. 7 € 159,95 | £144.00 graduate algebraic topology course.
212 p. Book (Paperback Initiative). (Mathematical 7 * € (D) 171,15 | € (A) 175,95 | sFr 213,00
Modelling: Theory and Applications, Volume 11) 2011. XIII, 344 p. 333 illus. (Universitext) Softcover
Yellow Sale Price ISBN 978-1-4419-7328-3
Softcover
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ISBN 978-90-481-5590-3
7 * € (D) 85,59 | € (A) 87,99 | sFr 106,50 7 * € (D) 64,15 | € (A) 65,95 | sFr 86,00
7 € 129,95 | £117.00
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9<HTUAPI=bf jad> 9<HTMEPB=jhdcid>
T. M. Apostol, California Institute of Technology, E. Arbarello, M. Cornalba, P. A. Griffiths, J. D. Harris L. Arnold, University of Bremen, Germany
Pasadena, CA, USA
Geometry of Algebraic Curves Random Dynamical Systems
Introduction to Analytic Volume I This book is the first systematic presentation of the
Number Theory theory of dynamical systems under the influence
This comprehensive and self-contained account of
of randomness. It includes products of random
This introductory textbook is designed to teach the extrinsic geometry of algebraic curves applies
mappings as well as random and stochastic differ-
undergraduates the basic ideas and techniques of the theory of linear series to a number of classical
ential equations. The basic mulitplicative ergodic
number theory, with special consideration to the topics, including the geometry of the Reimann
theorem is presented and provides a random
principles of analytic number theory. The first five theta divisor, as well as to contemporary research.
substitute for linear algebra. On its basis random
chapters treat elementary concepts such as divis-
invariant manifolds are constructed, systems
ibility, congruence and arithmetical functions. Softcover reprint of hardcover 1st ed. 1985. are simplified by smooth random coordinate
The topics in the next chapters include Dirichlet‘s XVI, 388 p. Book (Paperback Initiative). (Grundlehren transformations (random normal forms), and
theorem on primes in progressions, Gauss sums, der mathematischen Wissenschaften, Volume 267) qualitative changes in families of random systems
quadratic residues, Dirichlet series, and Euler Softcover (random bifurcation theory) are studied. Numer-
products with applications to the Riemann zeta ISBN 978-1-4419-2825-2 ous instructive examples are treated analytically or
function and Dirichlet L-functions. Also included 7 € 89,95 | £71.00 numerically.
is an introduction to partitions. 7 * € (D) 96,25 | € (A) 98,95 | sFr 149,50
Softcover reprint of hardcover 1st ed. 1998.
Softcover reprint of hardcover 1st ed. 1976. 338 p. Yellow Sale Price XVI, 586 p. 40 illus. Book (Paperback Initiative).
24 illus. Book (Paperback Initiative). (Undergraduate 7 € 44,99 | £40.99 (Springer Monographs in Mathematics) Softcover
Texts in Mathematics) Softcover 7 * € (D) 48,14 | € (A) 49,49 | sFr 60,00 ISBN 978-3-642-08355-6
ISBN 978-1-4419-2805-4 7 € 99,95 | £79.00
7 € 52,95 | £46.99
7 * € (D) 56,66 | € (A) 58,25 | sFr 80,50 9<HTMEPB=jcicfc> 7 * € (D) 106,95 | € (A) 109,95 | sFr 166,00
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7 € 26,99 | £24.99 7 * € (D) 53,49 | € (A) 54,99 | sFr 67,00
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9<HTMEPB=jciafe> 9<HTOGPC=aidf g>
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6. Yellow Sale 2013 | English Titles springer.com/yellowsale
V. Arnold, Russian Academy of Sciences, Moscow, S. Asmussen, Aarhus University, Aarhus, Denmark; G. Aubert, Université de Nice Sophia-Antipolis,
Russia P. W. Glynn, Stanford University, Stanford, CA, USA Nice, France; P. Kornprobst, INRIA, Sophia Antipolis,
France
Mathematical Methods of Stochastic Simulation:
Classical Mechanics Algorithms and Analysis Mathematical Problems in
Transl. Russian: K. Vogtmann, A. Weinstein Image Processing
This book provides a broad treatment of sam-
pling-based computational methods, as well Partial Differential Equations and the
In this text, the author constructs the math- as accompanying mathematical analysis of the Calculus of Variations
ematical apparatus of classical mechanics from the convergence properties of the methods discussed.
beginning, examining all the basic problems in General methods and model-specific algorithms The 2nd edition presents image analysis applica-
dynamics, including the theory of oscillations, the are discussed. tions, outlines their precise mathematics and
theory of rigid body motion, and the Hamiltonian shows how to discretize them. It reviews progress
formalism. This modern approch, based on the in image processing applications covered by the
Softcover reprint of hardcover 1st ed. 2007. PDE framework, and updates the existing mate-
theory of the geometry of manifolds, distinguishes XIV, 482 p. 45 illus., 1 in color. Book (Paperback
iteself from the traditional approach of standard rial. Also provides programming tools for creating
Initiative). (Stochastic Modelling and Applied
textbooks. simulations.
Probability, Volume 57) Softcover
ISBN 978-1-4419-2146-8 Softcover reprint of hardcover 2nd ed. 2006.
Softcover reprint of hardcover 2nd ed. 1989. 7 € 49,95 | £43.99 XXXII, 377 p. 100 illus. Book (Paperback Initiative).
XVI, 520 p. 269 illus. Book (Paperback Initiative). 7 * € (D) 53,45 | € (A) 54,95 | sFr 75,00 (Applied Mathematical Sciences, Volume 147)
(Graduate Texts in Mathematics, Volume 60)
Softcover
Softcover Yellow Sale Price
ISBN 978-1-4419-2182-6
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9<HTMEPB=jdaihd> 9<HTMEPB=jcbicg>
W. Arveson, University of California at Berkeley, CA, F. M. Atay, MPI Leipzig, Germany (Ed) J.‑P. Aubin, Universite Paris-Dauphine, Paris, France
USA
Complex Time-Delay Systems Optima and Equilibria
A Short Course on Spectral Theory and Applications An Introduction to Nonlinear Analysis
Theory Transl. French: S. Wilson
The goal of this book is to present the state-of-
This book presents the basic tools of modern the-art in research on time-delay dynamics in the
analysis within the context of the fundamental framework of complex systems. The chapters are This book offers a self-contained, rigorous and
problem of operator theory: to calculate spect- authored by renowned experts and cover both concise review of the mathematical tools needed
ra of specific operators on infinite dimensional theory and applications in a wide range of fields. to study optima and equilibria, as solutions to
spaces, especially operators on Hilbert spaces. The problems in economics, management sciences,
tools are diverse, and they provide the basis for 2010. XII, 326 p. 21 illus. in color. (Understanding operations research, cooperative and non-cooper-
more refined methods that allow one to approach Complex Systems) Hardcover ative games and more.
problems that go well beyond the computation of ISBN 978-3-642-02328-6
spectra: the mathematical foundations of quantum 7 € 89,95 | £81.00 Softcover reprint of hardcover 2nd ed. 1998.
physics, noncommutative K-theory, and the classi- 7 * € (D) 96,25 | € (A) 98,95 | sFr 129,00 XVIII, 434 p. 28 illus. Book (Paperback Initiative).
fication of simple C*-algebras being three areas of (Graduate Texts in Mathematics, Volume 140)
Yellow Sale Price
current research activity which require mastery of Softcover
7 € 44,99 | £40.99
the material presented here. ISBN 978-3-642-08446-1
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Softcover reprint of the original 1st ed. 2002. 7 * € (D) 69,50 | € (A) 71,45 | sFr 108,00
XI, 135 p. Book (Paperback Initiative). (Graduate Texts
in Mathematics, Volume 209) Softcover
ISBN 978-1-4419-2943-3
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4 | More title information online at springer.com
7. Order Online Yellow Sale 2013 | English Titles
C. Aull, Virginia Polytechnic Institute and State K. Back, Texas A&M University, College Station, TX, M. Banagl, D. Vogel, University of Heidelberg,
University, Blacksburg, USA; R. Lowen, University of USA Germany (Eds)
Antwerp, Belgium (Eds)
A Course in Derivative The Mathematics of Knots
Handbook of the History of Securities Theory and Application
General Topology Introduction to Theory and Computation This book offers up-to-date original research
This volume mainly focuses on various compre- and survey articles on actively pursued areas of
This book aims at a middle ground between the
hensive topological theories, with the exception mathematical knot theory and its applications
introductory books on derivative securities and
of a paper on combinatorial topology versus in mathematical physics and cell biology. The
those that provide advanced mathematical treat-
point-set topology by I.M. James and a paper on contents arise from the Heidelberg Knot Theory
ments. It is written for mathematically capable
the history of the normal Moore space problem by Semester of winter 2008-09.
students who have not necessarily had prior
P. Nyikos. The history of the following theories is
exposure to probability theory, stochastic calculus, 2011. X, 358 p. (Contributions in Mathematical and
given: pointfree topology, locale and frame theory
or computer programming. Computational Sciences, Volume 1) Hardcover
(P. Johnstone), non-symmetric distances in topol-
ogy (H.-P. Künzi), categorical topology and topo- ISBN 978-3-642-15636-6
logical constructs (E. Lowen-Colebunders and B. Softcover reprint of hardcover 1st ed. 2005. 7 € 109,95 | £99.00
Lowen), topological groups (M. G. Tkacenko) and XV, 355 p. Book (Paperback Initiative). (Springer 7 * € (D) 117,65 | € (A) 120,95 | sFr 158,00
finally shape theory (S. Mardesic and J. Segal). Finance / Springer Finance Textbooks) Softcover
ISBN 978-3-642-06474-6 Yellow Sale Price
2001. 414 p. Book (Paperback Initiative). (History of 7 € 59,95 | £53.99 7 € 59,99 | £53.99
Topology (closed), Volume 3) Softcover 7 * € (D) 64,15 | € (A) 65,95 | sFr 93,50 7 * € (D) 64,19 | € (A) 65,99 | sFr 80,00
ISBN 978-90-481-5704-4
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F. Baccelli, P. Bremaud, Ecole Normale Supérieure, J. Bak, City College of New York, NY, USA; A. Banyaga, The Pennsylvania State University,
Paris, France D. J. Newman University Park, PA, USA; D. Hurtubise, The
Pennsylvania State University, Altoona, PA, USA
Elements of Queueing Theory Complex Analysis
Palm Martingale Calculus and Stochastic
Lectures on Morse Homology
Accessible to students at their early stages of
Recurrences mathematical study, this full first year course in This book presents in great detail all the results
complex analysis offers new and interesting moti- one needs to prove the Morse Homology Theorem
Presenting the mathematical foundations of the vations for classical results and introduces related using classical techniques from algebraic topology
theory of stationary queuing systems, the Palm topics stressing motivation and technique. Numer- and homotopy theory. Most of these results can be
theory and the Loynes theory, this extensively ous illustrations, examples, and now 300 exercises, found scattered throughout the literature dating
revised second edition adds substantial material - enrich the text. Students who master this textbook from the mid to late 1900‘s in some form or other,
mainly exercises and their solutions - to a classic will emerge with an excellent grounding in com- but often the results are proved in different con-
reference. plex analysis, and a solid understanding of its wide texts with a multitude of different notations and
Softcover reprint of hardcover 2nd ed. 2003. applicability. different goals. This book collects all these results
XIV, 334 p. 24 illus. Book (Paperback Initiative). together into a single reference with complete and
(Stochastic Modelling and Applied Probability, 3rd ed. 2010. XII, 328 p. (Undergraduate Texts in detailed proofs.
Volume 26) Softcover Mathematics) Hardcover
ISBN 978-3-642-08537-6 ISBN 978-1-4419-7287-3 Softcover reprint of hardcover 1st ed. 2004.
7 € 74,95 | £67.99 7 € 59,95 | £49.99 IX, 326 p. Book (Paperback Initiative). (Texts in
7 * € (D) 80,20 | € (A) 82,45 | sFr 100,00 7 * € (D) 64,15 | € (A) 65,95 | sFr 86,50 the Mathematical Sciences (closed), Volume 29)
Softcover
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8. Yellow Sale 2013 | English Titles springer.com/yellowsale
I. Bárány, Alfred Rényi Institute, Budapest, Hungary; A. F. Beardon, University of Cambridge, UK A. F. Beardon, University of Cambridge, UK
J. Solymosi, University of British Columbia,
Vancouver, BC, Canada (Eds)
The Geometry of Discrete Limits
An Irregular Mind Groups A New Approach to Real Analysis
Szemerédi is 70 This text is about the geometric theory of discrete Intended as an undergraduate text on real analysis,
groups and the associated tesselations of the this book includes all the standard material such
Endre Szemerédi‘s influence on today‘s math- underlying space. The theory of Möbius trans- as sequences, infinite series, continuity, differen-
ematics, especially in combinatorics, additive formations in n-dimensional Euclidean space is tiation, and integration, together with worked
number theory, and theoretical computer science, developed. These transformations are discussed examples and exercises. By unifying and simp-
is enormous. This volume is a celebration of his as isometries of hyperbolic space and are then lifying all the various notions of limit, the author
achievements and personality, on the occasion of identified with the elementary transformations of has successfully presented a novel approach to the
his 70th birthday. complex analysis. A detailed account of analytic subject matter, which has not previously appeared
hyperbolic trigonometry is given, and this forms in book form. The author defines the term limit
2010. X, 740 p. 49 illus. (Bolyai Society Mathematical the basis of the subsequent analysis of tesselations once only, and all of the subsequent limiting
Studies, Volume 21) Hardcover of the hyperbolic plane. Emphasis is placed on processes are seen to be special cases of this one
ISBN 978-3-642-14443-1 the geometrical aspects of the subject and on the definition. Accordingly, the subject matter attains
7 € 159,95 | £144.00 universal constraints which must be satisfied by all a unity and coherence that is not to be found in
7 * € (D) 171,15 | € (A) 175,94 | sFr 229,50 tesselations. the traditional approach.
Yellow Sale Price
7 € 79,99 | £72.00 1st ed. 1983. Corr. 2nd printing 1995 1983. 1997. IX, 204 p. 2 illus. (Undergraduate Texts in
7 * € (D) 85,59 | € (A) 87,99 | sFr 106,50 XII, 356 p. (Graduate Texts in Mathematics, Volume Mathematics) Hardcover
91) Hardcover ISBN 978-0-387-98274-8
ISBN 978-0-387-90788-8 7 € 59,95 | £53.99
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9<HTLDTH=jahi i> 9<HTLDTH=jichei>
A. Barlotti, Università di Firenze, Italy (Ed) A. F. Beardon, University of Cambridge, UK R. Benedetti, University of Pisa, Italy; C. Petronio,
Pisa, Italy
Matroid Theory and Its Iteration of Rational Functions
Applications Complex Analytic Dynamical Systems
Lectures on Hyperbolic
Lectures given at a Summer School of the
Geometry
This book makes available a comprehensive, de-
Centro Internazionale Matematico Estivo tailed, and organized treatment of the foundations Focussing on the geometry of hyperbolic mani-
(C.I.M.E.) held in Varenna (Como), Italy, of the theory of iteration of rational functions of folds, the aim here is to provide an exposition
August 24 - September 2, 1980 a complex variable. The material covered extends of some fundamental results, while being as
from the original memoirs of Fatou and Julia to self-contained, complete, detailed and unified as
Lectures: T.H. Brylawski: The Tutte polynomial.- the recent and important results and methods of possible. Following some classical material on
D.J.A. Welsh: Matroids and combinatorial opti- Sullivan and Shishikura. Many of the details of the hyperbolic space and the Teichmüller space,
misation.- Seminars: M. Barnabei, A. Brini, G.-C. the proofs have not occurred in print before. The the book centers on the two fundamental results:
Rota: Un’introduzione alla teoria delle funzioni theory of of dynamical systems and chaos has Mostow‘s rigidity theorem (including a comple-
di Möbius.- A. Brini: Some remarks on the critical recently undergone a rapid growth in popularity, te proof, following Gromov and Thurston) and
problem.- J. Oxley: On 3-connected matroids and in part due to the spectacular computer graphics Margulis‘ lemma.
graphs.- R. Peele: The poset of subpartitions and of Julia sets, fractals, and the Mandelbrot set.
Cayley’s formula for the complexity of a complete
1st ed. 1992. 2nd printing 2003 1992. XIV, 330 p.
graph.- A. Recski: Engineering applications of
Softcover reprint of the original 1st ed. 1991. (Universitext) Softcover
matroids. XVI, 280 p. 1 illus. (Graduate Texts in Mathematics, ISBN 978-3-540-55534-6
Volume 132) Softcover 7 € 39,95 | £34.99
Originally published by C.I.M.E., Ed. Liguori, Napoli
ISBN 978-0-387-95151-5 7 * € (D) 42,75 | € (A) 43,95 | sFr 57,50
& Birkhäuser, 2011. 424 p. (C.I.M.E. Summer Schools
7 € 44,95 | £40.99
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6 | More title information online at springer.com
9. Order Online Yellow Sale 2013 | English Titles
M. Berger, Bures-sur-Yvette, France; B. Gostiaux, Le M. Berger, Institute des Hautes Etudes Scientifiques, A. Bialynicki-Birula, University of Warsaw, Poland;
Perreux, France Bures-sur-Yvette, France J. Carrell, The University of British Columbia,
Vancouver, BC, Canada; W. McGovern, University of
Differential Geometry: Geometry II Washington, Seattle, WA, USA
Manifolds, Curves, and Surfaces Transl. French: M. Cole, S. Levy Algebraic Quotients. Torus
Manifolds, Curves, and Surfaces
This is the second part of the 2-volume textbook Actions and Cohomology. The
Transl. French: S. Levy, Princeton University, Geometry which provides a very readable and
Princeton, NJ, USA lively presentation of large parts of geometry in
Adjoint Representation and the
the classical sense. An attractive characteristic of Adjoint Action
This book is an introduction to modern differen- the book is that it appeals systematically to the
tial geometry. The authors begin with the neces- reader‘s intuition and vision, and illustrates the This is the second volume of the new subseries
sary tools from analysis and topology, including mathematical text with many figures. For each „Invariant Theory and Algebraic Transformation
Sard‘s theorem, de Rham cohomology, calculus on topic the author presents a theorem that is estheti- Groups“. The aim of the survey by A. Bialynicki-
manifolds, and a degree theory. The general theory cally pleasing and easily stated - although the Birula is to present the main trends and achieve-
is illustrated and expanded using the examples of proof of the same theorem may be quite hard and ments of research in the theory of quotients by
curves and surfaces. concealed. Many open problems and references to actions of algebraic groups. This theory contains
modern literature are given. geometric invariant theory with various applica-
tions to problems of moduli theory. The contribu-
1988. XII, 474 p. (Graduate Texts in Mathematics,
tion by J.
Volume 115) Hardcover 1st ed. 1987. Corr. 4th printing 2009 1987.
ISBN 978-0-387-96626-7 X, 406 p. 364 illus. (Universitext) Softcover
2002. V, 242 p. (Encyclopaedia of Mathematical
7 € 74,95 | £67.99 ISBN 978-3-540-17015-0
Sciences, Volume 131) Hardcover
7 * € (D) 80,20 | € (A) 82,45 | sFr 107,50 7 € 49,95 | £44.99
ISBN 978-3-540-43211-1
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9<HTOFPA=edcb b>
M. Berger, Bures-sur-Yvette, France N. Berline, École Polytechnique, Palaiseau, France; T. R. Bielecki, Northeastern Illinois University,
E. Getzler, Northwestern University, Evanston, IL, Chicago, IL, USA; M. Rutkowski, Warsaw University
Geometry I USA; M. Vergne, École Polytechnique, Palaiseau, of Technology, Warsaw, Poland
Transl. French: M. Cole, S. Levy France
Credit Risk: Modeling,
The first part of a two-volume text providing a
Heat Kernels and Dirac Valuation and Hedging
readable and lively presentation of large parts of Operators
geometry in the classical sense, this book appeals The main objective of Credit Risk: Modeling,
systematically to the reader‘s intuition and vision, In the first edition of this book, simple proofs Valuation and Hedging is to present a comprehen-
and illustrates the mathematical text with many of the Atiyah-Singer Index Theorem for Dirac sive survey of the past developments in the area
figures. operators on compact Riemannian manifolds and of credit risk research, as well as to put forth the
its generalizations (due to the authors and J.-M. most recent advancements in this field. An impor-
Bismut) were presented, using an explicit geome- tant aspect of this text is that it attempts to bridge
1st ed. 1987. Corr. 4th printing 2009 1987.
XIV, 432 p. 426 illus. (Universitext) Softcover tric construction of the heat kernel of a genera- the gap between the mathematical theory of credit
ISBN 978-3-540-11658-5 lized Dirac operator; the new edition makes this risk and the financial practice, which serves as the
7 € 49,95 | £44.99 popular book available to students and researchers motivation for the mathematical modeling studied
7 * € (D) 53,45 | € (A) 54,95 | sFr 72,00 in an attractive paperback. in the book.
Softcover reprint of hardcover 1st ed. 2004.
Yellow Sale Price 2004. X, 364 p. (Grundlehren Text Editions)
7 € 24,99 | £22.99 Softcover XVIII, 500 p. Book (Paperback Initiative). (Springer
7 * € (D) 26,74 | € (A) 27,49 | sFr 33,50 ISBN 978-3-540-20062-8 Finance) Softcover
7 € 49,95 | £39.99 ISBN 978-3-642-08707-3
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9<HTOFPA=ca gci> 9<HTOGPC=aihahd>
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10. Yellow Sale 2013 | English Titles springer.com/yellowsale
N. H. Bingham, University of Sheffield, UK; R. Kiesel, C. Birkenhake, H. Lange, Universität Erlangen- J.‑E. Björk, Stockholm University, Dept. of
University of Ulm, Germany Nürnberg, Erlangen, Germany Mathematics, Sweden
Risk-Neutral Valuation Complex Abelian Varieties Analytic D-Modules and
Pricing and Hedging of Financial Derivatives The subject of this book is the theory of abelian Applications
varieties over the field of complex numbers. It
This second edition - completely up to date with This is the first monograph to be published on
covers the main results of the theory, both classic
new exercises - provides a comprehensive and self- analytic D-modules and it offers a complete and
and recent, in modern language. It is intended
contained treatment of the probabilistic theory systematic treatment of the foundations together
to give a comprehensive introduction to the field,
behind the risk-neutral valuation principle and its with a thorough discussion of such modern
but also to serve as a reference. The focal topics
application to the pricing and hedging of financial topics as the Riemann--Hilbert correspondence,
are the projective embeddings of an abelian
derivatives. On the probabilistic side, both discre- Bernstein--Sata polynomials and a large variety
variety, their equations and geometric proper-
te- and continuous-time stochastic processes are of results concerning microdifferential analysis.
ties. Moreover several moduli spaces of abelian
treated, with special emphasis on martingale the- Analytic D-module theory studies holomorphic
varieties with additional structure are constructed.
ory, stochastic integration and change-of-measure differential systems on complex manifolds.
Some special results on Jacobians and Prym vari-
techniques.
eties allow applications to the theory of algebraic Softcover reprint of hardcover 1st ed. 1993. 600 p.
curves. Book (Paperback Initiative). (Mathematics and Its
Softcover reprint of hardcover 2nd ed. 2004.
XVIII, 437 p. 8 illus. Book (Paperback Initiative). Applications (closed), Volume 247) Softcover
Softcover reprint of hardcover 2nd ed. 2004.
(Springer Finance / Springer Finance Textbooks) ISBN 978-90-481-4238-5
XII, 640 p. Book (Paperback Initiative). (Grundlehren
Softcover 7 € 102,95 | £93.00
der mathematischen Wissenschaften, Volume 302)
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J. R. Birge, University of Chicago, Booth School of M. S. Birman, St. Petersburg State University, Russia; B. Blackadar, University of Nevada, Reno, NV, USA
Business, Chicago, IL, USA; F. Louveaux, University of M. Solomjak, Dept. of Mathematics, Leningrad
Namur, Namur, Belgium University, Russia
Operator Algebras
Theory of C*-Algebras and von Neumann
Introduction to Stochastic Spectral Theory of Self-Adjoint Algebras
Programming Operators in Hilbert Space
This book is the most comprehensive treatment
In an extensively updated new edition, this book 1987. XVI, 302 p. (Mathematics and its Applications, available of the general theory of C*-algebras and
teaches stochastic programming, with new ap- Volume 5) Hardcover von Neumann algebras. Beginning with the basics,
proaches for discrete variables, new results on risk ISBN 978-90-277-2179-2 the theory is developed through such topics as
measures in modeling and Monte Carlo sampling 7 € 109,95 | £99.00 tensor products, nuclearity and exactness, crossed
methods, a new chapter on relationships to other 7 * € (D) 117,65 | € (A) 120,95 | sFr 146,50 products, classification of injective factors, K-theo-
methods and more. ry, finiteness, stable rank, and quasidiagonality.
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2nd ed. 2011. XXV, 485 p. 44 illus. (Springer Series
in Operations Research and Financial Engineering) 7 * € (D) 58,84 | € (A) 60,49 | sFr 73,50 XX, 528 p. Book (Paperback Initiative).
Hardcover (Encyclopaedia of Mathematical Sciences,
ISBN 978-1-4614-0236-7
7 € 59,95 | £53.99
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9<HTUANH=hcbhjc> Volume 122) Softcover
ISBN 978-3-642-06673-3
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8 | More title information online at springer.com
11. Order Online Yellow Sale 2013 | English Titles
J. Bochnak, Vrije Universiteit, Amsterdam, The A. Bondy, Université Claude-Bernard Lyon, France; R. d. Borst, Eindhoven University of Technology, The
Netherlands; M. Coste, M.‑F. Roy, Universite de U. Murty, University of Waterloo, ON, Canada Netherlands; E. Ramm, Universität Stuttgart (Eds)
Rennes 1, France
Graph Theory Multiscale Methods in
Real Algebraic Geometry Computational Mechanics
This book is not just a simple revision of the au-
This book is a systematic treatment of real alge- thors‘ well-known introductory textbook „Graph Progress and Accomplishments
braic geometry, a subject that has strong interrela- Theory with Applications“ but a brand new
tion with other areas of mathematics: singularity up-to-date treatment of the theory of graphs. Its This work gives a modern, up-to-date account of
theory, differential topology, quadratic forms, primary aim is to present a coherent introduction recent developments in computational multiscale
commutative algebra, model theory, complexity to the subject, suitable as a textbook for advanced mechanics. Both upscaling and concurrent com-
theory etc. The careful and clearly written ac- undergraduate and beginning graduate students puting methodologies are addressed for a range of
count covers both basic concepts and up-to-date in mathematics and computer science. It provides application areas in computational solid and fluid
research topics. It may be used as text for a gradu- a systematic study of graph theory without mechanics.
ate course. The present edition is a substantially sacrificing its intuitive and aesthetic appeal. Com-
revised and expanded English version of the book monly used proof techniques are described and 2011. XVIII, 446 p. (Lecture Notes in Applied and
„Géometrie algébrique réelle“ originally published illustrated and a wealth of exercises are provided. Computational Mechanics, Tentative volume 55)
in French, in 1987, as Volume 12 of ERGEBNISSE. A second objective is to serve as an introduction Hardcover
to research in graph theory. ISBN 978-90-481-9808-5
Softcover reprint of hardcover 1st ed. 1998. X, 430 p. 7 € 129,95 | £117.00
Book (Paperback Initiative). (Ergebnisse der 7 * € (D) 139,05 | € (A) 142,94 | sFr 186,50
2008. XII, 654 p. 235 illus. Book (Paperback
Mathematik und ihrer Grenzgebiete. 3. Folge / A Initiative). (Graduate Texts in Mathematics, Volume
Series of Modern Surveys in Mathematics, Volume Yellow Sale Price
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36) Softcover 7 € 76,99 | £69.99
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C. Bonatti, University of Bourgogne, Dijon, France; C. d. Boor, University of Wisconsin, Madison, P. Borwein, S. Choi, B. Rooney, Simon Fraser
L. J. Díaz, PUC-Rio, Rio de Janeiro, Brazil; M. Viana, WI, USA; K. Höllig, University of Stuttgart, FRG; University, Burnaby, BC, Canada; A. Weirathmueller,
IMPA, Rio de Janeiro, Brazil S. Riemenschneider, University of Alberta, University of Western Ontario, London, ON, Canada
Edmonton, Alta., Canada (Eds)
Dynamics Beyond Uniform
Hyperbolicity Box Splines The Riemann Hypothesis
This book on box splines is the first book giving a A Resource for the Afficionado and Virtuoso
A Global Geometric and Probabilistic
complete development for any kind of multivari- Alike
Perspective
ate spline. Box splines give rise to an intriguing
and beautiful mathematical theory that is much This book presents the Riemann Hypothesis, con-
The notion of uniform hyperbolicity, intro-
richer and more intricate than the univariate case nected problems, and a taste of the body of theory
duced by Steve Smale in the early sixties, unified
because of the complexity of smoothly join- developed towards its solution. It is targeted at the
important developments and led to a remarkably
ing polynomial pieces on polyhedral cells. The educated non-expert. Almost all the material is
successful theory for a large class of systems:
purpose of this book is to provide the basic facts accessible to any senior mathematics student, and
uniformly hyperbolic systems often exhibit
about box splines in a cohesive way with simple, much is accessible to anyone with some university
complicated evolution which, nevertheless, is now
complete proofs, many illustrations, and with an mathematics.
rather well understood, both geometrically and
statistically. up-to-date bibliography. Softcover reprint of hardcover 1st ed. 2008.
XIV, 538 p. 25 illus. Book (Paperback Initiative). (CMS
2005. XVIII, 384 p. 25 illus. (Encyclopaedia of Softcover reprint of hardcover 1st ed. 1993. Books in Mathematics) Softcover
Mathematical Sciences, Volume 102) Softcover XVII, 200 p. 57 illus. Book (Paperback Initiative). ISBN 978-1-4419-2465-0
ISBN 978-3-540-22066-4 (Applied Mathematical Sciences, Volume 98) 7 € 66,95 | £59.99
7 € 119,95 | £108.00 Softcover 7 * € (D) 71,64 | € (A) 73,65 | sFr 103,50
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9<HTMEPB=jcide >
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S. Bosch, W. Lütkebohmert, University of Münster, N. Bourbaki, Paris, France N. Bourbaki
FRG; M. Raynaud, University of Paris-Sud, France
Algebra II Topological Vector Spaces
Neron Models Chapters 4-7 Chapters 1-5
Néron models were invented by A. Néron in the Transl. French: P. Cohn, J. Howie Transl. French: H. Eggleston, S. Madan
early 1960s in order to study the integral structure
of abelian varieties over number fields. Since This is a softcover reprint of the English transla- This is a softcover reprint of the English transla-
then, arithmeticians and algebraic geometers have tion of 1990 of the revised and expanded version tion of 1987 of the second edition of Bourbaki‘s
applied the theory of Néron models with great of Bourbaki‘s, Algèbre, Chapters 4 to 7 (1981). Espaces Vectoriels Topologiques (1981). This [sec-
success. Quite recently, new developments in This completes Algebra, 1 to 3, by establishing the ond edition] is a brand new book and completely
arithmetic algebraic geometry have prompted a theories of commutative fields and modules over supersedes the original version of nearly 30 years
desire to understand more about Néron models, a principal ideal domain. Chapter 4 deals with ago. But a lot of the material has been rearranged,
and even to go back to the basics of their construc- polynomials, rational fractions and power series. rewritten, or replaced by a more up-to-date
tion. The authors have taken this as their incentive A section on symmetric tensors and polynomial exposition, and a good deal of new material has
to present a comprehensive treatment of Néron mappings between modules, and a final one on been incorporated in this book, all reflecting the
models. symmetric functions, have been added. Chapter 5 progress made in the field during the last three
was entirely rewritten. decades. Table of Contents. Chapter I: Topologi-
Softcover reprint of the original 1st ed. 1990.
cal vector spaces over a valued field. Chapter II:
X, 328 p. 4 illus. Book (Paperback Initiative).
1st ed. 1990. 2nd printing 2003. VIII, 454 p. Convex sets and locally convex spaces. Chapter
(Ergebnisse der Mathematik und ihrer Grenzgebiete.
(Elements of Mathematics) Softcover III: Spaces of continuous linear mappings.
3. Folge / A Series of Modern Surveys in
Mathematics, Volume 21) Softcover ISBN 978-3-540-00706-7
7 € 49,95 | £39.99 1st ed. 1987. 2nd printing 2003. VII, 366 p. (Elements
ISBN 978-3-642-08073-9 of Mathematics) Softcover
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ISBN 978-3-540-42338-6
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9<HTOFPA=ecd ig>
R. Bott, Harvard University, Cambridge, MA, USA; N. Bourbaki, Paris, France N. Bourbaki, Paris, France
L. W. Tu, Tufts University, Medford, MA, USA
Theory of Sets General Topology
Differential Forms in Algebraic Chapters 1-4
This is a softcover reprint of the English trans-
Topology lation of 1968 of N. Bourbaki‘s, Théorie des
This is the softcover reprint of the English transla-
Ensembles (1970).
Developed from a first-year graduate course in al- tion of 1971 (available from Springer since 1989)
gebraic topology, this text is an informal introduc- 1st ed. 1968. 2nd printing 2004. VIII, 416 p. (Ettore of the first 4 chapters of Bourbaki‘s Topologie
tion to some of the main ideas of contemporary Majorana International Science Series, Volume 18) générale. It gives all the basics of the subject,
homotopy and cohomology theory. The materials Softcover starting from definitions. Important classes of
are structured around four core areas: de Rham ISBN 978-3-540-22525-6 topological spaces are studied, uniform structures
theory, the Cech-de Rham complex, spectral 7 € 56,95 | £51.99 are introduced and applied to topological groups.
sequences, and characteristic classes. By using the 7 * € (D) 60,94 | € (A) 62,65 | sFr 82,00 Real numbers are constructed and their properties
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stress on concreteness, motivation, and readability, 7 * € (D) 32,09 | € (A) 32,99 | sFr 40,00 1st ed. 1989. 2nd printing 1998 1989. VII, 452 p.
this book is equally suitable for self-study and as a (Ettore Majorana International Science Series,
one-semester course in topology.
Softcover reprint of hardcover 1st ed. 1982 1982.
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