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Books in Mathematics

The Mathematics collection presents a range of foundational and advanced research content across applied and discrete mathematics, including fields such as Computational Mathematics; Differential Equations; Linear Algebra; Modelling & Simulation; Numerical Analysis; Probability & Statistics.

BooksJournals

    • Numerical Analysis of Wavelet Methods

      • 1st Edition
      • Volume 32
      • April 29, 2003
      • A. Cohen
      • English
      • Hardback
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      • Paperback
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      • eBook
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      Since their introduction in the 1980's, wavelets have become a powerful tool in mathematical analysis, with applications such as image compression, statistical estimation and numerical simulation of partial differential equations. One of their main attractive features is the ability to accurately represent fairly general functions with a small number of adaptively chosen wavelet coefficients, as well as to characterize the smoothness of such functions from the numerical behaviour of these coefficients. The theoretical pillar that underlies such properties involves approximation theory and function spaces, and plays a pivotal role in the analysis of wavelet-based numerical methods. This book offers a self-contained treatment of wavelets, which includes this theoretical pillar and it applications to the numerical treatment of partial differential equations. Its key features are: 1. Self-contained introduction to wavelet bases and related numerical algorithms, from the simplest examples to the most numerically useful general constructions. 2. Full treatment of the theoretical foundations that are crucial for the analysis of wavelets and other related multiscale methods : function spaces, linear and nonlinear approximation, interpolation theory. 3. Applications of these concepts to the numerical treatment of partial differential equations : multilevel preconditioning, sparse approximations of differential and integral operators, adaptive discretization strategies.

    • Handbook of Mathematical Formulas and Integrals

      • 3rd Edition
      • November 7, 2003
      • Alan Jeffrey
      • English
      • Paperback
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      • eBook
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      The updated Handbook is an essential reference for researchers and students in applied mathematics, engineering, and physics. It provides quick access to important formulas, relations, and methods from algebra, trigonometric and exponential functions, combinatorics, probability, matrix theory, calculus and vector calculus, ordinary and partial differential equations, Fourier series, orthogonal polynomials, and Laplace transforms. Many of the entries are based upon the updated sixth edition of Gradshteyn and Ryzhik's Table of Integrals, Series, and Products and other important reference works. The Third Edition has new chapters covering solutions of elliptic, parabolic and hyperbolic equations and qualitative properties of the heat and Laplace equation.

    • Nonlinear Partial Differential Equations and Their Applications

      • 1st Edition
      • Volume 31
      • June 21, 2002
      • Doina Cioranescu + 1 more
      • English
      • Hardback
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      • Paperback
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      • eBook
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      This book contains the written versions of lectures delivered since 1997 in the well-known weekly seminar on Applied Mathematics at the Collège de France in Paris, directed by Jacques-Louis Lions. It is the 14th and last of the series, due to the recent and untimely death of Professor Lions. The texts in this volume deal mostly with various aspects of the theory of nonlinear partial differential equations. They present both theoretical and applied results in many fields of growing importance such as Calculus of variations and optimal control, optimization, system theory and control, operations research, fluids and continuum mechanics, nonlinear dynamics, meteorology and climate, homogenization and material science, numerical analysis and scientific computations The book is of interest to everyone from postgraduate, who wishes to follow the most recent progress in these fields.

    • Handbook of Measure Theory

      • 1st Edition
      • October 31, 2002
      • E. Pap
      • English
      • eBook
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      The main goal of this Handbook isto survey measure theory with its many different branches and itsrelations with other areas of mathematics. Mostly aggregating many classical branches of measure theory the aim of the Handbook is also to cover new fields, approaches and applications whichsupport the idea of "measure" in a wider sense, e.g. the ninth part of the Handbook. Although chapters are written of surveys in the variousareas they contain many special topics and challengingproblems valuable for experts and rich sources of inspiration.Mathemat... from other areas as well as physicists, computerscientists, engineers and econometrists will find useful results andpowerful methods for their research. The reader may find in theHandbook many close relations to other mathematical areas: realanalysis, probability theory, statistics, ergodic theory,functional analysis, potential theory, topology, set theory,geometry, differential equations, optimization, variationalanalysis, decision making and others. The Handbook is a richsource of relevant references to articles, books and lecturenotes and it contains for the reader's convenience an extensivesubject and author index.

    • An Introduction to Probability and Statistical Inference

      • 1st Edition
      • December 19, 2002
      • George G. Roussas
      • English
      • Hardback
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      • Paperback
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      • eBook
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      Roussas introduces readers with no prior knowledge in probability or statistics, to a thinking process to guide them toward the best solution to a posed question or situation. An Introduction to Probability and Statistical Inference provides a plethora of examples for each topic discussed, giving the reader more experience in applying statistical methods to different situations. "The text is wonderfully written and has the mostcomprehensive range of exercise problems that I have ever seen." — Tapas K. Das, University of South Florida"The exposition is great; a mixture between conversational tones and formal mathematics; the appropriate combination for a math text at [this] level. In my examination I could find no instance where I could improve the book." — H. Pat Goeters, Auburn, University, Alabama

    • Handbook of Computer Aided Geometric Design

      • 1st Edition
      • August 13, 2002
      • G. Farin + 2 more
      • English
      • Hardback
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      • eBook
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      This book provides a comprehensive coverage of the fields Geometric Modeling, Computer-Aided Design, and Scientific Visualization, or Computer-Aided Geometric Design. Leading international experts have contributed, thus creating a one-of-a-kind collection of authoritative articles. There are chapters outlining basic theory in tutorial style, as well as application-oriented articles. Aspects which are covered include: Historical outline Curve and surface methods Scientific Visualization Implic... methods Reverse engineering.This book is meant to be a reference text for researchers in the field as well as an introduction to graduate students wishing to get some exposureto this subject.

    • Handbook of Complex Analysis

      • 1st Edition
      • December 5, 2002
      • Reiner Kuhnau
      • English
      • Hardback
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      • eBook
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      Geometric Function Theory is a central part of Complex Analysis (one complex variable). The Handbook of Complex Analysis - Geometric Function Theory deals with this field and its many ramifications and relations to other areas of mathematics and physics. The theory of conformal and quasiconformal mappings plays a central role in this Handbook, for example a priori-estimates for these mappings which arise from solving extremal problems, and constructive methods are considered. As a new field the theory of circle packings which goes back to P. Koebe is included. The Handbook should be useful for experts as well as for mathematicians working in other areas, as well as for physicists and engineers.

    • Advances in Computers

      • 1st Edition
      • Volume 56
      • August 5, 2002
      • Marvin Zelkowitz
      • English
      • Hardback
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      • eBook
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      Advances in Computers remains at the forefront in presenting the new developments in the ever-changing field of information technology. Since 1960, Advances in Computers has chronicled the constantly shifting theories and methods of this technology that greatly shape our lives today. Volume 56 presents eight chapters that describe how the software, hardware and applications of computers are changing the use of computers during the early part of the 21st century: Software Evolution and the Staged Model of the Software Lifecycle; Embedded Software; Empirical Studies of Quality Models in Object-Oriented Systems; Software Fault Prevention by Language Choice; Quantum computing and communication; Exception Handling; Breaking the Robustness Barrier: Recent Progress on the Design of Robust Multimodal Systems; Using Data Mining to Discover the Preferences of Computer Criminals. As the longest-running continuous serial on computers, Advances in Computers presents technologies that will affect the industry in the years to come, covering hot topics from fundamentals to applications. Additionally, readers benefit from contributions of both academic and industry professionals of the highest caliber.

    • Applied Partial Differential Equations: An Introduction

      • 1st Edition
      • November 4, 2002
      • Alan Jeffrey
      • English
      • Paperback
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      • Hardback
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      • eBook
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      This book is written to meet the needs of undergraduates in applied mathematics, physics and engineering studying partial differential equations. It is a more modern, comprehensive treatment intended for students who need more than the purely numerical solutions provided by programs like the MATLAB PDE Toolbox, and those obtained by the method of separation of variables, which is usually the only theoretical approach found in the majority of elementary textbooks. This will fill a need in the market for a more modern text for future working engineers, and one that students can read and understand much more easily than those currently on the market.

    • An Introduction to Differentiable Manifolds and Riemannian Geometry, Revised

      • 2nd Edition
      • Volume 120
      • August 5, 2002
      • William M. Boothby
      • William M. Boothby
      • English
      • Paperback
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      • eBook
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      The second edition of An Introduction to Differentiable Manifolds and Riemannian Geometry, Revised has sold over 6,000 copies since publication in 1986 and this revision will make it even more useful. This is the only book available that is approachable by "beginners" in this subject. It has become an essential introduction to the subject for mathematics students, engineers, physicists, and economists who need to learn how to apply these vital methods. It is also the only book that thoroughly reviews certain areas of advanced calculus that are necessary to understand the subject.

Related subjects

Mathematics and applied mathematics

Statistics and probability