Mathematics
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Avkhadiev, Farit G.; Wirths, Karl-Joachim
Schwarz-Pick Type Inequalities
This book discusses in detail the extension of the Schwarz-Pick inequality to higher
order derivatives of analytic functions with given images. It is the first systematic account
of the main results in this area. Recent results in geometric function theory presented
here include the attractive steps on coefficient problems from Bieberbach to de Branges,
applications of some hyperbolic characteristics of domains via Beardon-Pommerenke's
theorem, a new interpretation of coefficient estimates as certain properties of the
Poincaré metric, and a successful combination of the classical ideas of Littlewood,
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Löwner and Teichmüller with modern approaches. The material is complemented with
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historical remarks on the Schwarz Lemma and a chapter introducing some
challenging open problems.
The book will be of interest for researchers and postgraduate students in function theory
and hyperbolic geometry.
(Series: Frontiers in Mathematics)
2009, VIII, 156 p., Softcover
ISBN: 978-3-7643-9999-3
Da Prato, Giuseppe
Introduction to Stochastic Analysis and Malliavin Calculus
This volume presents an introductory course on differential stochastic equations and
Malliavin calculus.
The material of the book has grown from a series of courses delivered at the Scuola
Normale Superiore di Pisa (and also at the Trento and Funchal Universities) and has
been refined over several years of teaching experience in the subject. The lectures are
addressed to a reader who is familiar with basic notions of measure theory and
functional analysis. The first part is devoted to the Gaussian measure in a separable
Hilbert space, the Malliavin derivative, the construction of the Brownian motion and Itô's
formula. The second part deals with the differential stochastic equations and their
connection with parabolic problems. The third part contains an introduction to the
Malliavin calculus. Several applications are given, notably the Feynman-Kac, Girsanov
and Clark-Ocone formulae, the Krylov-Bogoliubov and Von Neumann theorems.
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(Series: Lecture Notes (Scuola Normale Superiore))
2nd ed., 2009, Approx. 210 p., Softcover
ISBN: 978-88-7642-337-6
Chipot, Michel
Elliptic Equations: An Introductory Course
The aim of this book is to introduce the reader to different topics of the theory of elliptic
partial differential equations by avoiding technicalities and refinements. Apart from the
basic theory of equations in divergence form it includes subjects such as singular
perturbation problems, homogenization, computations, asymptotic behaviour of
problems in cylinders, elliptic systems, nonlinear problems, regularity theory, NavierStokes system, p-Laplace equation. Just a minimum on Sobolev spaces has been
introduced, and work or integration on the boundary has been carefully avoided to keep
the reader's attention on the beauty and variety of these issues.
The chapters are relatively independent of each other and can be read or taught
separately. Numerous results presented here are original and have not been published
elsewhere. The book will be of interest to graduate students and faculty members
specializing in partial differential equations.
(Series: Birkhäuser Advanced Texts / Basler Lehrbücher)
2009, VIII, 288 p., Hardcover
ISBN: 978-3-7643-9981-8
SPRINGER TITLES IN: MATHEMATICS
PAGE 1 OF 11
Feireisl, Eduard; Novotný, Antonín
Singular Limits in Thermodynamics of Viscous Fluids
Many interesting problems in mathematical fluid dynamics involve the behavior of
solutions of nonlinear systems of partial differential equations as certain parameters
vanish or become infinite. Frequently the limiting solution, provided the limit exists,
satisfies a qualitatively different system of differential equations. This book is designed
as an introduction to the problems involving singular limits based on the concept of weak
or variational solutions. The primitive system consists of a complete system of partial
differential equations describing the time evolution of the three basic state variables: the
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density, the velocity, and the absolute temperature associated to a fluid, which is
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supposed to be compressible, viscous, and heat conducting. It can be represented by
the Navier-Stokes-Fourier-system that combines Newton's rheological law for the
viscous stress and Fourier's law of heat conduction for the internal energy flux.
As a summary, this book studies singular limits of weak solutions to the system
governing the flow of thermally conducting compressible viscous fluids.
(Series: Advances in Mathematical Fluid Mechanics)
2009, XXXVI, 382 p., Hardcover
ISBN: 978-3-7643-8842-3
Gromoll, Detlef; Walschap, Gerard
Metric Foliations and Curvature
In the past three or four decades, there has been increasing realization that metric
foliations play a key role in understanding the structure of Riemannian manifolds,
particularly those with positive or nonnegative sectional curvature. In fact, all known
such spaces are constructed from only a representative handful by means of metric
fibrations or deformations thereof.
This text is an attempt to document some of these constructions, many of which have
only appeared in journal form. The emphasis here is less on the fibration itself and more
on how to use it to either construct or understand a metric with curvature of fixed sign on
a given space.
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(Series: Progress in Mathematics)
2009, VIII, 174 p., Hardcover
ISBN: 978-3-7643-8714-3
Huber, Michael
Flag-transitive Steiner Designs
The monograph provides the first full discussion of flag-transitive Steiner designs. This is
a central part of the study of highly symmetric combinatorial configurations at the
interface of several mathematical disciplines, like finite or incidence geometry, group
theory, combinatorics, coding theory, and cryptography. In a sufficiently self-contained
and unified manner the classification of all flag-transitive Steiner designs is presented.
This recent result settles interesting and challenging questions that have been object of
research for more than 40 years. Its proof combines methods from finite group theory,
incidence geometry, combinatorics, and number theory.
The book contains a broad introduction to the topic, along with many illustrative
examples. Moreover, a census of some of the most general results on highly symmetric
Steiner designs is given in a survey chapter.
The monograph is addressed to graduate students in mathematics and computer
science as well as established researchers in design theory, finite or incidence
geometry, coding theory, cryptography, algebraic combinatorics, and more generally,
discrete mathematics.
(Series: Frontiers in Mathematics)
2009, IX, 124 p., Softcover
ISBN: 978-3-0346-0001-9
SPRINGER TITLES IN: MATHEMATICS
PAGE 2 OF 11
Snaith, Victor P.
Stable Homotopy Around the Arf-Kervaire Invariant
This monograph describes important techniques of stable homotopy theory, both
classical and brand new, applying them to the long-standing unsolved problem of the
existence of framed manifolds with odd Arf-Kervaire invariant. Opening with an account
of the necessary algebraic topology background, it proceeds in a quasi-historical manner
to draw from the author’s contributions over several decades. A new technique entitled
“upper triangular technology” is introduced which enables the author to relate Adams
operations to Steenrod operations and thereby to recover most of the important classical
Arf-Kervaire invariant results quite simply. The final chapter briefly relates the book to
the contemporary motivic stable homotopy theory of Morel-Voevodsky.
Excerpt from a review:
This takes the reader on an unusual mathematical journey. The problem referred to in
the title, its history and the author's relationship with it are lucidly described in the book.
The book does not offer a solution, but a new and interesting way of looking at it. The
stated purpose of the book is twofold: (1) To rescue the Kervaire invariant problem from
oblivion. (2) To introduce the "upper triangular technology" to approach the problem.
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This is very useful, since this method is not widely known. It is not an introduction to
stable homotopy theory but rather a guide for experts along a path to a prescribed
destination. In taking us there it assembles material from widely varying sources and
offers a perspective that is not available anywhere else. This is a case where the whole
is much greater than the sum of its parts. The manuscript is extremely well written. The
author's style is engaging and even humorous at times. (Douglas Ravenel)
(Series: Progress in Mathematics)
2009, XIV, 239 p., Hardcover
ISBN: 978-3-7643-9903-0
Emmer, Michele
Mathematics and Culture VI
The latest in the series Mathematics and Culture probes the interplay between
mathematics and the worlds of art, cinema, theatre and history, medicine, biology and
aeronautics. Series Editor Michele Emmer has chosen a new collection of essays
illuminating these connections in surprising and fascinating ways.
Mathematics and Culture VI includes:
An homage to the artist Mario Merz, whose work depicted numbers derived from the
Fibonacci in curving neon arrays
Essays on the relationships of mathematics with video and cinema; the complex
connections between mathematics and psychoanalysis and the frontiers of applied
mathematics
Chapters on Mathematics and Cartoon; Mathematics and Art; Mathematics and Cinema
and Mathematics and Wine and the journeys of Marco Polo and the Venice he left and
came home to.
Ideal for mathematicians, teachers, students and general readers interested in the
history of ideas, the book presents the observations of thinkers, writers and researchers
across a broad spectrum of disciplines.
2009, X, 299 p. 136 illus., 14 in color., Hardcover
ISBN: 978-3-540-87568-0
SPRINGER TITLES IN: MATHEMATICS
PAGE 3 OF 11
Narahari, Y.; Garg, Dinesh; Narayanam, Ramasuri; Prakash, Hastagiri
Game Theoretic Problems in Network Economics and Mechanism Design
Solutions
The focus of this monograph is to explore game theoretic modeling and mechanism
design for problem solving in Internet and network economics. The monograph is
structured into two parts. The first part (Chapter 2) contains an overview of foundational
concepts and key results in mechanism design. This chapter is intended as a selfsufficient introduction to mechanism design theory with the help of numerous stylized
examples from network economics. The second part of the monograph contains an
exposition of representative game theoretic problems in three different network
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economics situations and a systematic exploration of mechanism design solutions to
£ 56,99
these problems. This part has three chapters: Chapter 3 deals with the sponsored
search auction problem, Chapter 4 with the resource allocation problem in computational
grids, and Chapter 5 with the robust broadcast protocol design problem in ad hoc
networks. The monograph concludes with Chapter 6 which provides several pointers to
the relevant literature to facilitate a deeper and broader investigation of problem solving
with mechanism design.
(Series: Advanced Information and Knowledge Processing)
2009, XXI, 274 p. 45 illus., Hardcover
ISBN: 978-1-84800-937-0
Lipman, Joseph; Hashimoto, Mitsuyasu
Foundations of Grothendieck Duality for Diagrams of Schemes
The first part is a full exposition of the abstract foundations of Grothendieck duality
theory for schemes (twisted inverse image, tor-independent base change,...), in part
without noetherian hypotheses, and with some refinements for maps of finite tordimension. The ground is prepared by a lengthy treatment of the rich formalism of
relations among the derived functors, for unbounded complexes over ringed spaces, of
the sheaf functors tensor, hom, direct and inverse image. Included are enhancements,
for quasi-compact quasi-separated schemes, of classical results such as the projection
and Künneth isomorphisms.
In the second part, the theory is extended to the context of diagrams of schemes. This
includes, as a special case, an equivariant theory for schemes with group actions. In
particular, after various basic operations on sheaves such as (derived) direct images
and inverse images are set up, Grothendieck duality and flat base change for diagrams
of schemes are proved. Also, dualizing complexes are studied in this context. As an
application to group actions, we generalize Watanabe's theorem on the Gorenstein
property of invariant subrings.
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(Series: Lecture Notes in Mathematics)
2009, X, 478 p., Softcover
ISBN: 978-3-540-85419-7
Roth, Walter
Operator-Valued Measures and Integrals for Cone-Valued Functions
Integration theory deals with extended real-valued, vector-valued, or operator-valued
measures and functions. Different approaches are applied in each of these cases using
different techniques. The order structure of the (extended) real number system is used
for real-valued functions and measures whereas suprema and infima are replaced with
topological limits in the vector-valued case.
A novel approach employing more general structures, locally convex cones, which are
natural generalizations of locally convex vector spaces, is introduced here. This setting
allows developing a general theory of integration which simultaneously deals with all of
the above-mentioned cases.
(Series: Lecture Notes in Mathematics)
2009, X, 356 p., Softcover
ISBN: 978-3-540-87564-2
SPRINGER TITLES IN: MATHEMATICS
PAGE 4 OF 11
Weil, André
Oeuvres Scientifiques / Collected Papers
Volume 1 (1926-1951)
From the reviews
"…All of Weil’s works except for books and lecture notes are compiled here, in strict
chronological order for easy reference.
But the value … goes beyond the convenience of easy reference and accessibility. In
the first place, these volumes contain several essays, letters, and addresses which were
either published in obscure places (…) or not published at all.
Even more valuable are the lengthy commentaries on many of the articles, written by
Weil himself. These remarks serve as a guide, helping the reader place the papers in
their proper context. Moreover, we have the rare opportunity of seeing a great
mathematician in his later life reflecting on the development of his ideas and those of his
contemporaries at various stages of his career.
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£ 45,99
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The sheer number of mathematical papers of fundamental significance would earn
Weil’s Collected Papers a place in the library of a mathematician with an interest in
number theory, algebraic geometry, representations theory, or related areas. The
additional import of the mathematical history and culture in these volumes makes them
even more essential." Neal Koblitz in Mathematical Reviews
"…André Weil’s mathematical work has deeply influenced the mathematics of the
twentieth century and the monumental (...) "Collected papers" emphasize this influence."
O. Fomenko in Zentralblatt der Mathematik
1st ed. 1979. 2nd printing, 2009, XX, 580 p., Softcover
ISBN: 978-3-540-85888-1
Weil, André
Oeuvres Scientifiques / Collected Papers
Volume 2 (1951-1964)
From the reviews:
"…All of Weil’s works except for books and lecture notes are compiled here, in strict
chronological order for easy reference.
But the value … goes beyond the convenience of easy reference and accessibility. In
the first place, these volumes contain several essays, letters, and addresses which were
either published in obscure places (…) or not published at all.
Even more valuable are the lengthy commentaries on many of the articles, written by
Weil himself. These remarks serve as a guide, helping the reader place the papers in
their proper context. Moreover, we have the rare opportunity of seeing a great
mathematician in his later life reflecting on the development of his ideas and those of his
contemporaries at various stages of his career.
The sheer number of mathematical papers of fundamental significance would earn
Weil’s Collected Papers a place in the library of a mathematician with an interest in
number theory, algebraic geometry, representations theory, or related areas. The
additional import of the mathematical history and culture in these volumes makes them
even more essential." Neal Koblitz in Mathematical Reviews
"…André Weil’s mathematical work has deeply influenced the mathematics of the
twentieth century and the monumental (...) "Collected papers" emphasize this influence."
O. Fomenko in Zentralblatt der Mathematik
1st ed. 1979. 2nd printing, 2009, XII, 564 p., Softcover
ISBN: 978-3-540-87735-6
SPRINGER TITLES IN: MATHEMATICS
PAGE 5 OF 11
Weil, André
Oeuvres Scientifiques / Collected Papers
Volume 3 (1964-1978)
From the reviews
"…All of Weil’s works except for books and lecture notes are compiled here, in strict
chronological order for easy reference.
But the value … goes beyond the convenience of easy reference and accessibility. In
the first place, these volumes contain several essays, letters, and addresses which were
either published in obscure places (…) or not published at all.
Even more valuable are the lengthy commentaries on many of the articles, written by
Weil himself. These remarks serve as a guide, helping the reader place the papers in
their proper context. Moreover, we have the rare opportunity of seeing a great
mathematician in his later life reflecting on the development of his ideas and those of his
contemporaries at various stages of his career.
Feb-09
€ 49,95
£ 45,99
Feb-09
€ 59,95
£ 55,99
The sheer number of mathematical papers of fundamental significance would earn
Weil’s Collected Papers a place in the library of a mathematician with an interest in
number theory, algebraic geometry, representations theory, or related areas. The
additional import of the mathematical history and culture in these volumes makes them
even more essential." Neal Koblitz in Mathematical Reviews
"…André Weil’s mathematical work has deeply influenced the mathematics of the
twentieth century and the monumental (...) "Collected papers" emphasize this influence."
O. Fomenko in Zentralblatt der Mathematik
1st ed. 1979. 2nd printing, 2009, XII, 466 p., Softcover
ISBN: 978-3-540-87737-0
Peña, Victor H. de la; Lai, Tze Leung; Shao, Qi-Man
Self-Normalized Processes
Limit Theory and Statistical Applications
Self-normalized processes are of common occurrence in probabilistic and statistical
studies. A prototypical example is Student's t-statistic introduced in 1908 by Gosset,
whose portrait is on the front cover. Due to the highly non-linear nature of these
processes, the theory experienced a long period of slow development. In recent years
there have been a number of important advances in the theory and applications of selfnormalized processes. Some of these developments are closely linked to the study of
central limit theorems, which imply that self-normalized processes are approximate
pivots for statistical inference.
The present volume covers recent developments in the area, including self-normalized
large and moderate deviations, and laws of the iterated logarithms for self-normalized
martingales. This is the first book that systematically treats the theory and applications of
self-normalization.
(Series: Probability and its Applications)
2009, XIII, 275 p., Hardcover
ISBN: 978-3-540-85635-1
SPRINGER TITLES IN: MATHEMATICS
PAGE 6 OF 11
Andrianov, Anatoli
Introduction to Siegel Modular Forms and Dirichlet Series
This is intended for a graduate course on Siegel modular forms, Hecke operators, and
related zeta functions. The author’s aim is to present a concise and self-contained
introduction to an important and developing area of number theory that will serve to
attract young researchers to this beautiful field.
Topics include:
* analytical properties of radial Dirichlet series attached to modular forms of genuses 1
and 2;
* the abstract theory of Hecke–Shimura rings for symplectic and related groups;
* action of Hecke operators on Siegel modular forms;
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* applications of Hecke operators to a study of multiplicative properties of Fourier
coefficients of modular forms;
* Hecke zeta functions of modular forms in one variable and to spinor (or Andrianov)
zeta functions of Siegel modular forms of genus two;
* the proof of analytical continuation and functional equation (under certain assumptions)
for Euler products associated with modular forms of genus two.
This text contains a number of exercises and the only prerequisites are standard
courses in Algebra and Calculus (one and several variables).
(Series: Universitext)
2009, XII, 184 p., Softcover
ISBN: 978-0-387-78752-7
Chiswell, Ian
A Course in Formal Languages, Automata and Groups
The study of formal languages and automata has proved to be a source of much interest
and discussion amongst mathematicians in recent times. This book, written by Professor
Ian Chiswell, attempts to provide a comprehensive textbook for undergraduate and
postgraduate mathematicians with an interest in this developing field. The first three
Chapters give a rigorous proof that various notions of recursively enumerable language
are equivalent. Chapter Four covers the context-free languages, whereas Chapter Five
clarifies the relationship between LR(k) languages and deterministic (context-free
languages). Chiswell's book is unique in that it gives the reader a thorough introduction
into the connections between group theory and formal languages. This information,
contained within the final chapter, includes work on the Anisimov and Muller-Schupp
theorems.
(Series: Universitext)
2009, IX, 157 p. 30 illus., Softcover
ISBN: 978-1-84800-939-4
SPRINGER TITLES IN: MATHEMATICS
PAGE 7 OF 11
Meyer, Kenneth; Hall, Glen; Offin, Dan
Introduction to Hamiltonian Dynamical Systems and the N-Body Problem
This text grew out of notes from a graduate course taught to students in mathematics
and mechanical engineering. The goal was to take students who had some basic
knowledge of differential equations and lead them through a systematic grounding in the
theory of Hamiltonian systems, an introduction to the theory of integrals and reduction.
Poincaré’s continuation of periodic solution, normal forms, and applications of KAM
theory. There is a special chapter devoted to the theory of twist maps and various
extensions of the classic Poincaré-Birkhoff fixed point theorem.
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(Series: Applied Mathematical Sciences)
2nd ed., 2009, XIII, 399 p. 67 illus., Hardcover
ISBN: 978-0-387-09723-7
Agarwal, Ravi P.; O'Regan, Donal
Ordinary and Partial Differential Equations
With Special Functions, Fourier Series, and Boundary Value Problems
In this undergraduate/graduate textbook, the authors introduce ODEs and PDEs through
50 class-tested lectures. Mathematical concepts are explained with clarity and rigor,
using fully worked-out examples and helpful illustrations. Exercises are provided at the
end of each chapter for practice. The treatment of ODEs is developed in conjunction
with PDEs and is aimed mainly towards applications. The book covers important
applications-oriented topics such as solutions of ODEs in form of power series, special
functions, Bessel functions, hypergeometric functions, orthogonal functions and
polynomials, Legendre, Chebyshev, Hermite, and Laguerre polynomials, theory of
Fourier series.
Undergraduate and graduate students in mathematics, physics and engineering will
benefit from this book. The book assumes familiarity with calculus.
(Series: Universitext)
2009, XIV, 410 p. 35 illus., Softcover
ISBN: 978-0-387-79145-6
SPRINGER TITLES IN: MATHEMATICS
PAGE 8 OF 11
Andreescu, Titu; Gelca, Razvan
Mathematical Olympiad Challenges
This signficantly revised and expanded second edition of Mathematical Olympiad
Challenges is a rich collection of problems put together by two experienced and wellknown professors and coaches of the U.S. International Mathematical Olympiad Team.
Hundreds of beautiful, challenging, and instructive problems from algebra, geometry,
trigonometry, combinatorics, and number theory from numerous mathematical
competitions and journals have been selected and updated. The problems are clustered
by topic into self-contained sections with solutions provided separately. Historical
insights and asides are presented to stimulate further inquiry. The emphasis throughout
is on creative solutions to open-ended problems.
New to the second edition:
* Completely rewritten discussions precede each of the 30 units, adopting a more userfriendly style with more accessible and inviting examples
* Many new or expanded examples, problems, and solutions
* Additional references and reader suggestions have been incorporated
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Featuring enhanced motivation for advanced high school and beginning college
students, as well as instructors and Olympiad coaches, this text can be used for creative
problem-solving courses, professional teacher development seminars and workshops,
self-study, or as a training resource for mathematical competitions.
This [book] is…much more than just another collection of interesting, challenging
problems, but is instead organized specifically for learning. The book expertly weaves
together related problems, so that insights gradually become techniques, tricks slowly
become methods, and methods eventually evolve into mastery…. The book is aimed at
motivated high school and beginning college students and instructors...I strongly
recommend this book for anyone interested in creative problem-solving in
mathematics…. It has already taken up a prized position in my personal library, and is
bound to provide me with many hours of intellectual pleasure.
—The Mathematical Gazette (Review of the First Edition)
2nd ed., 2009, XVII, 283 p. 108 illus., Softcover
ISBN: 978-0-8176-4528-1
Corduneanu, Constantin
Almost Periodic Oscillations and Waves
This text is well-designed with respect to the exposition from the preliminary to the more
advanced and the applications interwoven throughout. It provides the essential
foundations for the theory as well as the basic facts relating to almost periodicity. In six
structured and self-contained chapters, the author unifies the treatment of various
classes of almost periodic functions, while uniquely addressing oscillations and waves in
the almost periodic case.
This is the first text to present the latest results in almost periodic oscillations and waves.
The presentation level and inclusion of several clearly presented proofs make this work
ideal for graduate students in engineering and science. The concept of almost
periodicity is widely applicable to continuum mechanics, electromagnetic theory, plasma
physics, dynamical systems, and astronomy, which makes the book a useful tool for
mathematicians and physicists.
2009, VIII, 308 p., Hardcover
ISBN: 978-0-387-09818-0
SPRINGER TITLES IN: MATHEMATICS
PAGE 9 OF 11
Givant, Steven; Halmos, Paul
Introduction to Boolean Algebras
This book is an informal, although systematic presentation of lectures given by the
authors on Boolean algebras, intended for advanced undergraduates and beginning
graduate students. In a bold and refreshing style, this book treats Boolean algebras,
develops some intriguing ideas, and provides rare insights. Exercises are generously
sprinkled throughout the text for course study.
This book can be considered a sequel to Paul Halmos's Lectures on Boolean Algebras,
with the following changes: (1) the material in every section has been explained in more
detail, and is now more accessible to undergraduates; (2) there are three times as many
exercises, and the authors have now prepared a solutions manual; (3) a more careful
explanation of the relationship between Boolean rings and Boolean algebras has been
added; (4) thirteen chapters have been added, including chapters on topology and on
continuous functions, a chapter on the extension theorem for homomorphisms, a new
chapter on congruences and quotient algebras, a chapter on the lattice of ideals, and a
chapter on duality theory for products.
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£ 33,99
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(Series: Undergraduate Texts in Mathematics)
2009, XIV, 574 p. 10 illus., Hardcover
ISBN: 978-0-387-40293-2
Jacobson, Michael J., Jr.; Williams, Hugh C.
Solving the Pell Equation
Pell’s Equation is a very simple Diophantine equation that has been known to
mathematicians for over 2000 years. Even today research involving this equation
continues to be very active, as can be seen by the publication of at least 150 articles
related to this equation over the past decade. However, very few modern books have
been published on Pell’s Equation, and this will be the first to give a historical
development of the equation, as well as to develop the necessary tools for solving the
equation.
The authors provide a friendly introduction for advanced undergraduates to the delights
of algebraic number theory via Pell’s Equation. The only prerequisites are a basic
knowledge of elementary number theory and abstract algebra. There are also numerous
references and notes for those who wish to follow up on various topics.
(Series: CMS Books in Mathematics)
2009, XX, 500 p. 20 illus., Hardcover
ISBN: 978-0-387-84922-5
SPRINGER TITLES IN: MATHEMATICS
PAGE 10 OF 11
Kahraman, Cengiz
Fuzzy Multi-Criteria Decision Making
Theory and Applications with Recent Developments
In trying to make a satisfactory decision when imprecise and multicriteria situations are
involved, a decision maker has to use a fuzzy multicriteria decision making method.
"Fuzzy Multi-Criteria Decision Making" (MCDM) presents fuzzy multiattribute and
multiobjective decision-making methodologies by distinguished MCDM researchers.
In summarizing the concepts and results of the most popular fuzzy multicriteria methods,
using numerical examples, this work examines all the fuzzy multicriteria methods
recently developed, such as fuzzy AHP, fuzzy TOPSIS, interactive fuzzy multiobjective
€ 92,95
stochastic linear programming, fuzzy multiobjective dynamic programming, grey fuzzy
Feb-09
£ 73,50
multiobjective optimization, fuzzy multiobjective geometric programming, and more.
Each of the 22 chapters includes practical applications along with new
developments/results.
This book may be used as a textbook in graduate operations research, industrial
engineering, and economics courses. It will also be an excellent resource, providing new
suggestions and directions for further research, for computer programmers,
mathematicians, and scientists in a variety of disciplines where multicriteria decision
making is needed.
(Series: Springer Optimization and Its Applications)
2008, X, 590 p. 157 illus., Hardcover
ISBN: 978-0-387-76812-0
All € and and £ prices are net prices subject to local VAT, e.g. in Germany 7%. All prices exclusive of carriage charges.
Prices and other details are subject to change without notice. All errors and omissions excepted.
SPRINGER TITLES IN: MATHEMATICS
PAGE 11 OF 11