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by Peter Deuflhard (Author), W. C. Rheinboldt (Translator), Folkmar Bornemann (Author)The textbook provides a sound fundamental introduction to the mathematical and numerical aspects of discretization methods for solving initial value problems in ordinary differential equations. It would be a useful and timely text for a graduate course in numerical analysis of ODEs. It is written at a level which is accessible to such an audience, covers a wide variety of topics, both classical and modern, a...
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by Stanley Osher (Author), Ronald Fedkiw (Author)This book promotes the use of level set methods by the many scientists and engineers working on moving interface problems. The essential mathematical and numerical techniques are presented in a clear, well- motivated and self-contained way. The book is intended for students and researchers interested in computation in the physical sciences, i.e. engineers, computational fluid dynamicists, and applied mathematicians who want to use these methods...
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by Douglas Stinson (Author)A new text/reference covering all apsects of modern combinatorial design theory. Graduates and professionals in computer science, applied math, combinatorics, and applied statistics will find the book an essential resource. Number of Pages: 300 Dimensions: 0.7 x 9.3 x 6.1 IN Illustrated: Yes Publication Date: October 17, 2003
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by Donald Estep (Author)This book attempts to place the basic ideas of real analysis and numerical analysis together in an applied setting that is both accessible and motivational to young students. It includes background and review material, numerous examples, visualizations and alternate explanations of some key ideas, and a variety of exercises ranging from simple computations to analysis and estimates to computations on a computer. Students who work through the proofs and solve the practi...
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by Christian Kassel (Author), O. Dodane (Designed by), Vladimir Turaev (Author)Braids and braid groups form central objects in knot theory and three-dimensional topology. They have also been at the heart of important mathematical developments over the last two decades. This introductory text presents the theory of braids and braid groups to the reader along with the recent developments in this field. Developments related to the linearity and orderability of braid groups are carefully presente...
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by Burkard Polster (Author)"The Mathematics of Juggling" is the first comprehensive account on juggling tricks and skills, as well as the mathematics behind them. The author wants to help jugglers be systematic about the way they acquire new skills and tricks. He wants to demonstrate that mathematics can be a lot of fun. And he will make people who appreciate the mathematics in this book to also give the practical side of juggling a try. Anybody who is not put off by the word "mathematics" in...
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by Osman Güler (Author)This book is intended as a textbook to be used in a first graduate level course, and covers the fundamental principals of optimization in finite dimensions. It develops the necessary background material in multivariable calculus using coordinates as well as in a coordinate-free manner, so that the recent developments such as semi-definite programming can be dealt with ease. All the standard topics of mathematical programming, such as necessary and sufficient optimality ...
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by Sadri Hassani (Author)This book represents a sort of "Mathematica component" of Hassani's "Mathematical Methods for Students of Physics and Related Fields." Number of Pages: 235 Dimensions: 0.47 x 9.26 x 6.9 IN Illustrated: Yes Publication Date: June 11, 2003
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by Christopher G. Small (Author)Over the years, a number of books have been written on the theory of functional equations. However, very little has been published which helps readers to solve functional equations in mathematics competitions and mathematical problem solving. This book fills that gap. The student who encounters a functional equation on a mathematics contest will need to investigate solutions to the equation by finding all solutions, or by showing that all solutions have a parti...
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by Edward J. Barbeau (Author)Pell's equation is part of a central area of algebraic number theory that treats quadratic forms and the structure of the rings of integers in algebraic number fields. It is an ideal topic to lead college students and talented high school students to a better appreciation of the power of mathematical technique. To appreciate this focused exercise book, a high school background in mathematics is all that is needed, and teachers and others interested in mathematics ...
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by Jet Nestruev (Author)This book is a self-contained introduction to fiber spaces and differential operators on smooth manifolds that is accessible to graduate students specializing in mathematics and physics. The authors offer an algebraic approach which is based on the fundamential notion of "observable" used by physicists, and which will further the understanding of the mathematics underlying quantum field theory. The prerequisites for this book are a standard advanced calculus course as ...
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by Titu Andreescu (Author), Dorin Andrica (Author)This text treats the classical theory of quadratic diophantine equations and guides the reader through the last two decades of computational techniques and progress in the area. The presentation features two basic methods to investigate and motivate the study of quadratic diophantine equations: the theories of continued fractions and quadratic fields. It also discusses Pell's equation and its generalizations, and presents some important quadra...
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by Bruce West (Author), Mauro Bologna (Author), Paolo Grigolini (Author)This text describes the statistcal behavior of complex systems and shows how the fractional calculus can be used to model the behavior. The discussion emphasizes physical phenomena whose evolution is best described using the fractional calculus, such as systems with long-range spatial interactions or long-time memory. The book gives general strategies for understanding wave propagation through random media, the nonlinear ...
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by Irene Fonseca (Author), Giovanni Leoni (Author)This book is a unified presentation of both classical and contemporary results in the calculus of variations. It offers a comprehensive analysis of necessary and sufficient conditions for sequential lower semicontinuity of functionals on Lp spaces, followed by relaxation techniques. In recent years there has been a remarkable and renewed interest in this area, motivated in part by applications of allied disciplines. Based on a series of lectur...
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by Ruben A. Martinez-Avendano (Author), Peter Rosenthal (Author)The great mathematician G. H. Hardy told us that "Beauty is the ?rst test: there is no permanent place in the world for ugly mathematics" (see [24, p. 85]). It is clear why Hardy loved complex analysis: it is a very beautiful partofclassicalmathematics. ThetheoryofHilbertspacesandofoperatorson themisalmostasclassicalandisperhapsasbeautifulascomplexanalysis. The studyoftheHardy-Hilbertspace(aHilbertspacewhoseelementsareanalytic fu...
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by Francisco Facchinei (Author), Jong-Shi Pang (Author)This is part one of a two-volume work presenting a definitive and comprehensive treatment of the finite-dimensional variational inequality and complementarity problem. This volume covers the basic theory needed and should appeal to mathematicians, economists, and engineers working in the area. Number of Pages: 693 Dimensions: 1.44 x 9.56 x 6.38 IN Illustrated: Yes Publication Date: February 06, 2003
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by Francisco Facchinei (Author), Jong-Shi Pang (Author)This is Part II of a two-volume work presenting a definitive and comprehensive treatment of the finite-dimensional variational inequality and complementarity problem. This volume concentrates on the applications and algorithms and needed and will appeal to mathematicians, economists, and engineers working in the area.Author Biography Jong-Shi Pang was awarded the 2003 Dantzig Prize, the worlds top prize in the area of Mathematical Program...
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by Neal Koblitz (Author)The most important revision in the second edition are the enlargment of the treatment of p-adic functions in Ch. 4 to include the Iwasawa logarithm and the p-adic gamma-function, the rearrangement and addition of some exercises, the inclusion of an extensive appendix of answers and hints to the exercises, and numerous corrections and clarifications. The first edition has become the standard introduction to the theory of p-adic numbers on the advanced undergraduate and ...
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by Serge Lang (Author)Dieses Buch enthalt eine Sammlung von Dialogen des bekannten Mathematikers Serge Lang mit Schulern. Serge Lang behandelt die Schuler als seinesgleichen und zeigt ihnen mit dem ihm eigenen lebendigen Stil etwas vom Wesen des mathematischen Denkens. Die Begegnungen zwischen Lang und den Schulern sind nach Bandaufnahmen aufgezeichnet worden und daher authentisch und lebendig. Das Buch stellt einen frischen und neuartigen Ansatz fur Lehren, Lernen und Genuss von Mathematik v...
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by Murray H. Protter (Author), Charles B. Jr. Morrey (Author) Number of Pages: 655 Dimensions: 1.6 x 9.4 x 6.5 IN Illustrated: Yes Publication Date: December 17, 1984
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by A. B. Aries (Translator), Z. Nashed (Editor), V. a. Morozov (Author)Some problems of mathematical physics and analysis can be formulated as the problem of solving the equation f F, (1) Au = f, where A: DA C U + F is an operator with a non-empty domain of definition D, in a metric space U, with range in a metric space F. The metrics A on U and F will be denoted by P and P ' respectively. Relative u F to the twin spaces U and F, J. Hadamard P-06] gave the following defini- tion of correctnes...
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by Serge Lang (Author)This is the fifth edition of Lang's caclulus book. It covers all of the topics traditionally taught in the first-year calculus sequence. Each section of A FIRST COURSE IN CALCULUS contains examples and applications of the topic covered. In addition, the back of the book contains detailed solutions to a large number of the exercises. These can be used as worked-out examples, and constitute one of the main changes from previous editions. Number of Pages: 731 Dimensions: 1....
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by Serge Lang (Author)This book is a short text in linear algebra, intended for a one-term course. Lang discusses the relation between the geometry and the algebra underlying the subject, and includes sections on linear equations, matrices and Gaussian elimination, and vector spaces, linear maps, scalar products, determinants, and eigenvalues. The book contains a large number of exercises, some of the routine computational type, and others are conceptual. Number of Pages: 293 Dimensions: 1.1 ...
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by Constance Reid (Author)I am very pleased that my books about David Hilbert, published in 1970, and Richard Courant, published in 1976, are now being issued by Springer- Verlag in a single volume. I have always felt that they belonged together, Courant being, as I have written, the natural and necessary sequel to Hilbert- the rest of the story. To make the two volumes more compatible when published as one, we have combined and brought up to date the indexes of names and dates. U nfortu- nat...
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by James M. Henle (Author)This book is an innovative problem-oriented introduction to undergraduate set theory. It is intended to be used in a course in which the students work in groups on projects and present their solutions to the class. Students completing such a course come away with a deeper understanding of the material, as well as a clearer view of what it means to do mathematics. The topics covered include standard undergraduate set theory, as well as some material on nonstandard ana...
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by Steven Shreve (Author)This book evolved from the first ten years of the Carnegie Mellon professional Master's program in Computational Finance. The contents of the book have been used successfully with students whose mathematics background consists of calculus and calculus-based probability. The author does not assume familiarity with advanced mathematical concepts from measure-theoretic probability, but rather develops the necessary tools from this subject informally within the text. Many...
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by Steven Shreve (Author)This text has grown out of a two-semester course sequence in the Carnegie Mellon Master's program in Computational Finance. It contains numerous examples, exercises, and references. It assumes the reader is familiar with differential and integral calculus and basic concepts from calculus-based probability. It does not assume familiarity with measure-theoretic probability, but rather informally develops the necessary tools from this subject within the text.Back JacketS...
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by Serge Lang (Author)"Linear Algebra" is intended for a one-term course at the junior or senior level. It begins with an exposition of the basic theory of vector spaces and proceeds to explain the fundamental structure theorem for linear maps, including eigenvectors and eigenvalues, quadratic and hermitian forms, diagnolization of symmetric, hermitian, and unitary linear maps and matrices, triangulation, and Jordan canonical form. In this new edition, many parts of the book have been rewritt...
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by Serge Lang (Author)This is a new, revised edition of this widely known text. All of the basic topics in calculus of several variables are covered. The presentation is self-contained, assuming only a knowledge of basic calculus in one variable. Many completely worked-out problems have been included. Number of Pages: 619 Dimensions: 1.44 x 9.48 x 6.4 IN Illustrated: Yes Publication Date: February 17, 1987
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by Larry Wasserman (Author)This book surveys a broad range of topics in probability and mathematical statistics. It provides the statistical background that a computer scientist needs to work in the area of machine learning.Back JacketThis book is for people who want to learn probability and statistics quickly. It brings together many of the main ideas in modern statistics in one place. The book is suitable for students and researchers in statistics, computer science, data mining and machine ...
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by Ronald S. Irving (Author) This introduction to modern algebra differs from texts in this area in fundamental ways. The author's primary goal is to have the reader learn to work with mathematics through reading, writing, speaking, and listening. The choice of content is important, but he regards it as a vehicle, not as an end in itself. It is the raw material through which the readers develop the ability to understand and communicate mathematics. One non-standard feature of the book is that...
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by Branko Grünbaum (Author), Günter M. Ziegler (Editor)The appearance of Gruenbaum's book Convex Polytopes in 1967 was a moment of grace to geometers and combinatorialists. The special spirit of the book is very much alive even in those chapters where the book's immense influence made them quickly obsolete. Some other chapters promise beautiful, unexplored land for future research. The appearance of the new edition is going to be another moment of grace. Kaibel, Klee and Ziegler were able to ...