Collection:
Mathematics
10969 books
Breakthroughs in Statistics - Paperback
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by Samuel Kotz (Editor), Norman L. Johnson (Editor)This is the third in a series of reprints of classic articles in statistics with original introductions by many leading researchers. These volumes will be an indispensable reference for graduate students and researchers in statistics.
Number of Pages: 561
Dimensions: 1.24 x 9.26 x 6.18 IN
Illustrated: Yes
Publication Date: August 07, 1997
Applications of Lie Groups to Differential Equations - Paperback
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by Peter J. Olver (Author)Symmetry methods have long been recognized to be of great importance for the study of the differential equations. This book provides a solid introduction to those applications of Lie groups to differential equations which have proved to be useful in practice. The computational methods are presented so that graduate students and researchers can readily learn to use them. Following an exposition of the applications, the book develops the underlying theory. Many of the ...
Fermat's Last Theorem: A Genetic Introduction to Algebraic Number Theory - Paperback
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by Harold M. Edwards (Author)This book is a genetic introduciton to algebraic number theory which follows the development of the subject in the work of Fermat, Kummer and others, motivating new ideas and techniques by explaining the problems which led to their creation. The central problem is the one indicated in the title, but many other basic questions of algebraic number thoery are also treated.
Number of Pages: 407
Dimensions: 0.84 x 9.25 x 6.17 IN
Publication Date: January 14, 2000
Interior Point Methods for Linear Optimization - Hardcover
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by Cornelis Roos (Author), Tamás Terlaky (Author), J. -Ph Vial (Author)Interior Point Methods for Linear Optimization is a comprehensive, thorough textbook on interior point methods (IPMs). The era of IPMs was initiated by N. Karmarkar's 1984 paper, which triggered turbulent research and reshaped almost all areas of optimization theory and computational practice. This book gives a comprehensive review of the main results of more than a decade of IPM research. Numerous exercises are provided t...
Information Dynamics: Foundations and Applications - Hardcover
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by Gustavo Deco (Author), Bernd Schürmann (Author)This new book offers a new, theoretical approach to information dynamics, i.e., information processing in complex dynamical systems. The presentation establishes a consistent theoretical framework for the problem of discovering knowledge behind empirical, dynamical data. The book is an essential book for advanced graduates, researchers, and professionals in neural computing, information theory, nonlinear dynamics and complex systems modeling.
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The Symmetric Group: Representations, Combinatorial Algorithms, and Symmetric Functions - Hardcover
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by Bruce E. Sagan (Author)There has recently been a resurgence of interest in representations of symmetric groups as well as other Coxeter groups. This book brings together for the first time many of the important results in this field. It includes a new chapter on applications of the materials from the first edition. The only prerequisites are elementary group theory and linear algebra.
Number of Pages: 240
Dimensions: 0.68 x 9.5 x 6.36 IN
Illustrated: Yes
Publication Date: April 20, 2001
Classical Theory of Algebraic Numbers - Hardcover
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by Paulo Ribenboim (Author)After a brief introduction reviewing the concepts of principal ideal domains and commutative fields, the book discusses residue classes (for example, the integers mog=dulo some number m); quadratic residues; algebraic integers (that is, objects that behave like integers in arbitrary algebraic structures), their discriminant; decomposition, norm, and classes of ideals; the ramification index; and the fundamental theorem of Abelian extensions. The theorems and definit...
Complex Analysis - Paperback
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by Theodore W. Gamelin (Author)The book provides an introduction to complex analysis for students with some familiarity with complex numbers from high school. Topics studied in the book include Julia sets and the Mandelbrot set, Dirichlet series and the prime number theorem, and the uniformization theorem for Riemann surfaces. The three geometries, spherical, euclidean, and hyperbolic, are stressed. Exercises range from the very simple to the quite challenging, in all chapters.
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Applied Probability and Statistics - Hardcover
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by Mario Lefebvre (Author)This text is designed for a one-semester course on Probability and Statistics. The exposition unfolds systematically from an introductory chapter to such topics as random variables and vectors, stochastic processes, estimation, testing and regression. The topics are well chosen and the presentation is enriched by many examples from real life. Following every chapter, the reader will find many original, solved and unsolved problems and hundreds of multiple choice ques...
Complex Analysis - Hardcover
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by Theodore W. Gamelin (Author)The book provides an introduction to complex analysis for students with some familiarity with complex numbers from high school. Topics studied in the book include Julia sets and the Mandelbrot set, Dirichlet series and the prime number theorem, and the uniformization theorem for Riemann surfaces. The three geometries, spherical, euclidean, and hyperbolic, are stressed. Exercises range from the very simple to the quite challenging, in all chapters.
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Multiplicative Number Theory - Hardcover
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by H. L. Montgomery (Revised by), Harold Davenport (Author)This book thoroughly examines the distribution of prime numbers in arithmetic progressions. It covers many classical results, including the Dirichlet theorem on the existence of prime numbers in arithmetical progressions, the theorem of Siegel, and functional equations of the L-functions and their consequences for the distribution of prime numbers. In addition, a simplified, improved version of the large sieve method is presented. The...
Notes on Set Theory - Paperback
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by Yiannis Moschovakis (Author)The axiomatic theory of sets is a vibrant part of pure mathematics, with its own basic notions, fundamental results, and deep open problems. At the same time, it is often viewed as a foundation of mathematics so that in the most prevalent, current mathematical practice "to make a notion precise" simply means "to define it in set theory." This book tries to do justice to both aspects: it gives a solid introduction to "pure set theory" through transfinite recursio...
Algebraic Methods in Physics: A Symposium for the 60th Birthdays of Jiri Patera and Pavel Winternitz - Hardcover
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by Yvan Saint-Aubin (Author), Luc Vinet (Author), Y. Saint-Aubin (Author)Self-Similarities and Invariant Densities for Model Sets.- Model Sets and Self-Similarities.- Averaging Operators and Invariant Densities.- Further Remarks.- Outlook.- References.- Symmetry Operations in the Brain: Music and Reasoning.- Trion Model.- Music Enhances Spatial-Temporal Reasoning.- References.- Lie Modules of Bounded Multiplicities.- Simple L Modules with Finite-Dimensional Weight Spaces.- Completely Pointed ...
Acoustic and Electromagnetic Equations: Integral Representations for Harmonic Problems - Hardcover
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by Jean-Claude Nedelec (Author)Acoustic and electromagnetic waves underlie a vast range of modern technology from sonar, radio, and television to microwave heating and electromagnetic compatibility analysis. Mathematical modelling of these waves has undergone a considerable growth in recent years, and this timely book written by a leading international researcher presents some of the research in a careful and complete way. Graduate students in mathematics, physics, and engineering will find t...
Best Approximation in Inner Product Spaces - Hardcover
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by Frank R. Deutsch (Author)This is the first systematic study of best approximation theory in inner product spaces and, in particular, in Hilbert space. Geometric considerations play a prominent role in developing and understanding the theory. The only prerequisites for reading the book is some knowledge of advanced calculus and linear algebra. Throughout the book, examples and applications have been interspersed with the theory. Each chapter concludes with numerous exercises and a section i...
Harmonic Function Theory - Hardcover
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by Sheldon Axler (Author), Paul Bourdon (Author), Ramey Wade (Author)This is a book about harmonic functions in euclidean space. Readers with a background in real and complex analysis at the beginning graduate level will feel comfortable with the material presented here. The new edition contains a completely rewritten chapter on spherical harmonics, a new section on extensions of Bocher's Theorem, new exercises and proofs, aa well as revisions throughout to improve the text. A unique software...
Convex Analysis and Nonlinear Optimization: Theory and Examples - Hardcover
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by Jonathan Borwein (Author), Adrian S. Lewis (Author)Optimization is a rich and thriving mathematical discipline. The theory underlying current computational optimization techniques grows ever more sophisticated. The powerful and elegant language of convex analysis unifies much of this theory. The aim of this book is to provide a concise, accessible account of convex analysis and its applications and extensions, for a broad audience. It can serve as a teaching text, at roughly the level of f...
A First Course in Noncommutative Rings - Hardcover
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by Tsit-Yuen Lam (Author)A First Course in Noncommutative Rings, an outgrowth of the author's lectures at the University of California at Berkeley, is intended as a textbook for a one-semester course in basic ring theory. By aiming the level of writing at the novice rather than the connoisseur and by stressing th the role of examples and motivation, the author has produced a text that is suitable not only for use in a graduate course, but also for self-study in the subject by interested gradu...
An Introduction to Mathematical Biology - Hardcover
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by James D. Murray (Author)Mathematical Biology: An Introductory Course is a richly illustrated textbook in an exciting and fast growing field. Providing an in-depth look at the practical use of math modelling, it features exercises throughout that are drawn from a variety of bioscientific disciplines - population biology, developmental biology, physiology, epidemiology, and evolution, among others. It maintains a consistent level throughout so that graduate students can use it to gain a foot...
Algebraic Graph Theory - Hardcover
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by Chris Godsil (Author), Gordon F. Royle (Author)Algebraic graph theory is a combination of two strands. The first is the study of algebraic objects associated with graphs. The second is the use of tools from algebra to derive properties of graphs. The authors's goal has been to present and illustrate the main tools and ideas of algebraic graph theory, with an emphasis on current rather then classical topics. While placing a strong emphasis on concrete examples they tried to keep the treatme...
Nonparametric Functional Data Analysis: Theory and Practice - Hardcover
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by Frédéric Ferraty (Author), Philippe Vieu (Author)This book links two fields of modern statistics by explaining how functional data can be studied through parameter-free statistical ideas. This book starts from theoretical foundations including functional nonparametric modelling, description of the mathematical framework, construction of the statistical methods, and statements of their asymptotic behaviors. It proceeds to computational issues including R and S-PLUS routines.Back JacketModer...
Analysis for Applied Mathematics - Hardcover
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by Ward Cheney (Author)This textbook is designed for a course at the beginning graduate level, serving students of mathematics, engineering, physics, and other sciences. Its goal is to provide the analytical tools, concepts, and viewpoints needed for modern applied mathematics.
Number of Pages: 448
Dimensions: 1.01 x 9.48 x 6.26 IN
Illustrated: Yes
Publication Date: June 21, 2001
Stochastic Simulation: Algorithms and Analysis - Hardcover
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by Søren Asmussen (Author), Peter W. Glynn (Author)Sampling-based computational methods have become a fundamental part of the numerical toolset of practitioners and researchers across an enormous number of different applied domains and academic disciplines. This book provides a broad treatment of such sampling-based methods, as well as accompanying mathematical analysis of the convergence properties of the methods discussed. It is the first rigorous and comprehensive advanced book on stochast...
Shape Optimization by the Homogenization Method - Hardcover
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by Gregoire Allaire (Author)This book is about the homogenization method and its applications to optimal design in the conductivity and elasticity setting. It explains how homogenization theory may be applied to solve optimal design problems, both from a theoretical and a numerical point of view. It is intended for an audience of researchers, engineers, and advanced graduate students in applied mathematics, mechanical engineering, and structural optimization.
Number of Pages: 458
Dimensions: ...
Matrix Algebra: Exercises and Solutions - Paperback
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by David A. Harville (Author)This collection of exercises and their solutions will be a useful reference for students and researchers in matrix algebra. It will be of interest to mathematicians and statisticians.
Number of Pages: 271
Dimensions: 0.56 x 9.16 x 6.06 IN
Illustrated: Yes
Publication Date: September 06, 2001
Mathematical Principles of Signal Processing: Fourier and Wavelet Analysis - Hardcover
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by Pierre Bremaud (Author)Fourier analysis and its modern extension of wavelet analysis provides one of the most useful tools in many applied sciences. This text bridges the gap between engineering and mathematics, providing a rigorously mathematical introduction to the subject, while emphasizing their uses in signal processing and other applications in communications engineering. An appendix provides the necessary background on Lebesgue integrals.
Number of Pages: 270
Dimensions: 0.74 x 9.48...
Short Calculus: The Original Edition of "A First Course in Calculus" - Paperback
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by Serge Lang (Author)This is a reprint of the original edition of Lang's classic book "A First Course in Calculus". It covers all of the topics traditionally taught in the first-year calculus sequence in a brief and elementary fashion. The audience consists of those taking the first calculus course, in high school or college. "..Lang's present book is a source of interesting ideas and brilliant techniques." Acta Scientiarum Mathematicarum. "..It is an admirable straightforward introduction t...
A First Course in Noncommutative Rings - Paperback
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by Tsit-Yuen Lam (Author)A First Course in Noncommutative Rings, an outgrowth of the author's lectures at the University of California at Berkeley, is intended as a textbook for a one-semester course in basic ring theory. By aiming the level of writing at the novice rather than the connoisseur and by stressing th the role of examples and motivation, the author has produced a text that is suitable not only for use in a graduate course, but also for self-study in the subject by interested gradu...
Numerical Analysis in Modern Scientific Computing: An Introduction - Hardcover
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by Peter Deuflhard (Author), Andreas Hohmann (Author)This book provides an accessible and self-contained introduction to the many topics of numerical analysis. It contains a large number of exercises and examples and many figures.Back JacketThis introductory book directs the reader to a selection of useful elementary numerical algorithms on a reasonably sound theoretical basis, built up within the text. The primary aim is to develop algorithmic thinking-emphasizing long-living computational c...
Fibonacci's Liber Abaci: A Translation Into Modern English of Leonardo Pisano's Book of Calculation - Hardcover
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by Laurence Sigler (Author)"Leonardo of Pisa's Liber Abaci (Book of Calculation) is one of the most important books in the history of European mathematics. Leonardo learned his mathematics from the Islamic mathematical tradition (some have even argued that he should be considered part of that tradition), but he wrote his books in Latin. As a result, he became one of the most important mediators of that tradition to European readers ... here it is at last, the Liber Abaci in English. It is now...
Applied Linear Algebra and Matrix Analysis - Hardcover
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by Thomas S. Shores (Author)This text is intended for a one or two semester sophomore level course in linear algebra. It is designed to provide a balance of applications, theory and computation, and to emphasize their interdependence. The text has a strong orientation towards numerical computation and the linear algebra needed in applied mathematics. At the same time, it contains a rigorous and self-contained development of most of the traditional topics in a linear algebra course. It provide...
Stochastic Petri Nets: Modelling, Stability, Simulation - Hardcover
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by Peter J. Haas (Author)Stochastic petri nets have proven to be a useful tool for modelling and performance analysis of complex discrete-event stochastic systems such as those in telecommunications, manufacturing, transportation. This monograph centers on techniques for the modelling and computer simulation of such systems. Researchers and graduate students in applied math, computer engineering, computer science, electrical engineering, industrial engineering operations research and applied ...
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