### A Primer on Wavelets and Their Scientific Applications, Second Edition

In the first edition of his seminal introduction to wavelets, James S. Walker informed us that the potential applications for wavelets were virtually unlimited. Since that time thousands of published papers have proven him true, while also necessitating the creation of a new edition of his…

Paperback – 2008-01-29

Chapman and Hall/CRC*Studies in Advanced Mathematics*### An Introduction to Quasigroups and Their Representations

Collecting results scattered throughout the literature into one source, An Introduction to Quasigroups and Their Representations shows how representation theories for groups are capable of extending to general quasigroups and illustrates the added depth and richness that result from this…

Hardback – 2006-11-15

Chapman and Hall/CRC*Studies in Advanced Mathematics*### Separation of Variables for Partial Differential Equations

#### An Eigenfunction Approach

Separation of Variables for Partial Differential Equations: An Eigenfunction Approach includes many realistic applications beyond the usual model problems. The book concentrates on the method of separation of variables for partial differential equations, which remains an integral part of the…

Hardback – 2005-11-21

Chapman and Hall/CRC*Studies in Advanced Mathematics*### Differential Geometry and Topology

#### With a View to Dynamical Systems

Accessible, concise, and self-contained, this book offers an outstanding introduction to three related subjects: differential geometry, differential topology, and dynamical systems. Topics of special interest addressed in the book include Brouwer's fixed point theorem, Morse Theory, and the…

Hardback – 2005-05-27

Chapman and Hall/CRC*Studies in Advanced Mathematics*### Higher-Order Finite Element Methods

The finite element method has always been a mainstay for solving engineering problems numerically. The most recent developments in the field clearly indicate that its future lies in higher-order methods, particularly in higher-order hp-adaptive schemes. These techniques respond well to the…

Hardback – 2003-07-28

Chapman and Hall/CRC*Studies in Advanced Mathematics*### Mathematical Quantization

With a unique approach and presenting an array of new and intriguing topics, Mathematical Quantization offers a survey of operator algebras and related structures from the point of view that these objects are quantizations of classical mathematical structures. This approach makes possible, with…

Hardback – 2001-05-31

Chapman and Hall/CRC*Studies in Advanced Mathematics*### Wavelets and Other Orthogonal Systems, Second Edition

A bestseller in its first edition, Wavelets and Other Orthogonal Systems: Second Edition has been fully updated to reflect the recent growth and development of this field, especially in the area of multiwavelets. The authors have incorporated more examples and numerous illustrations to help clarify…

Hardback – 2000-12-20

CRC Press*Studies in Advanced Mathematics*### Real Analysis

#### An Introduction to the Theory of Real Functions and Integration

Designed for use in a two-semester course on abstract analysis, REAL ANALYSIS: An Introduction to the Theory of Real Functions and Integration illuminates the principle topics that constitute real analysis. Self-contained, with coverage of topology, measure theory, and integration, it offers a…

Hardback – 2000-09-28

Chapman and Hall/CRC*Studies in Advanced Mathematics*### Handbook of Typography for the Mathematical Sciences

You know mathematics. You know how to write mathematics. But do you know how to produce clean, clear, well-formatted manuscripts for publication? Do you speak the language of publishers, typesetters, graphics designers, and copy editors?Your page design-the style and format of theorems and…

Paperback – 2000-08-31

Chapman and Hall/CRC*Studies in Advanced Mathematics*### Algebra

#### A Computational Introduction

Adequate texts that introduce the concepts of abstract algebra are plentiful. None, however, are more suited to those needing a mathematical background for careers in engineering, computer science, the physical sciences, industry, or finance than Algebra: A Computational Introduction. Along with a…

Hardback – 2000-06-23

Chapman and Hall/CRC*Studies in Advanced Mathematics*### Functional Analysis in Applied Mathematics and Engineering

Presenting excellent material for a first course on functional analysis , Functional Analysis in Applied Mathematics and Engineering concentrates on material that will be useful to control engineers from the disciplines of electrical, mechanical, and aerospace engineering.This text/reference…

Hardback – 1999-09-29

CRC Press*Studies in Advanced Mathematics*### Spectral Geometry, Riemannian Submersions, and the Gromov-Lawson Conjecture

This cutting-edge, standard-setting text explores the spectral geometry of Riemannian submersions. Working for the most part with the form valued Laplacian in the class of smooth compact manifolds without boundary, the authors study the relationship-if any-between the spectrum of Dp on Y and Dp on…

Hardback – 1999-07-27

CRC Press*Studies in Advanced Mathematics*### Dynamical Systems

#### Stability, Symbolic Dynamics, and Chaos, 2nd Edition

Several distinctive aspects make Dynamical Systems unique, including:treating the subject from a mathematical perspective with the proofs of most of the results includedproviding a careful review of background materialsintroducing ideas through examples and at a level accessible to a beginning…

Hardback – 1998-11-17

CRC Press*Studies in Advanced Mathematics*### A First Course on Wavelets

Wavelet theory had its origin in quantum field theory, signal analysis, and function space theory. In these areas wavelet-like algorithms replace the classical Fourier-type expansion of a function. This unique new book is an excellent introduction to the basic properties of wavelets, from…

Hardback – 1996-09-12

CRC Press*Studies in Advanced Mathematics*### Fast Fourier Transforms, Second Edition

This new edition of an indispensable text provides a clear treatment of Fourier Series, Fourier Transforms, and FFTs. The unique software, included with the book and newly updated for this edition, allows the reader to generate, firsthand, images of all aspects of Fourier analysis described in the…

Hardback – 1996-08-22

CRC Press*Studies in Advanced Mathematics*### Harmonic Analysis and Applications

Harmonic analysis plays an essential role in understanding a host of engineering, mathematical, and scientific ideas. In Harmonic Analysis and Applications, the analysis and synthesis of functions in terms of harmonics is presented in such a way as to demonstrate the vitality, power, elegance,…

Hardback – 1996-07-29

CRC Press*Studies in Advanced Mathematics*### Pseudodifferential Analysis on Symmetric Cones

Symmetric cones, possibly disguised under non-linear changes of coordinates, are the building blocks of manifolds with edges, corners, or conical points of a very general nature. Besides being a canonical open set of some Euclidean space, a symmetric cone L has an intrinsic Riemannian structure of…

Hardback – 1995-12-13

CRC Press*Studies in Advanced Mathematics*### Clifford Algebras in Analysis and Related Topics

This new book contains the most up-to-date and focused description of the applications of Clifford algebras in analysis, particularly classical harmonic analysis. It is the first single volume devoted to applications of Clifford analysis to other aspects of analysis.All chapters are written by…

Hardback – 1995-10-23

CRC Press*Studies in Advanced Mathematics*### Composition Operators on Spaces of Analytic Functions

The study of composition operators lies at the interface of analytic function theory and operator theory. Composition Operators on Spaces of Analytic Functions synthesizes the achievements of the past 25 years and brings into focus the broad outlines of the developing theory. It provides a…

Hardback – 1995-04-27

CRC Press*Studies in Advanced Mathematics*### Invariance Theory

#### The Heat Equation and the Atiyah-Singer Index Theorem

This book treats the Atiyah-Singer index theorem using the heat equation, which gives a local formula for the index of any elliptic complex. Heat equation methods are also used to discuss Lefschetz fixed point formulas, the Gauss-Bonnet theorem for a manifold with smooth boundary, and the…

Hardback – 1994-12-22

CRC Press*Studies in Advanced Mathematics*### Wavelets

#### Mathematics and Applications

Wavelets is a carefully organized and edited collection of extended survey papers addressing key topics in the mathematical foundations and applications of wavelet theory. The first part of the book is devoted to the fundamentals of wavelet analysis. The construction of wavelet bases and the fast…

Hardback – 1993-09-27

CRC Press*Studies in Advanced Mathematics*### Vibration and Damping in Distributed Systems, Volume II

Vibration and Damping in Distributed Systems, Volume II discusses asymptotic methods, including equations with variable coefficients, asymptotic estimates of eigenfrequencies of membranes and plates, WKB approximations and the wave propagation method of Keller and Rubinow, which are developed and…

Hardback – 1993-09-22

CRC Press*Studies in Advanced Mathematics*### Vibration and Damping in Distributed Systems, Volume I

Vibration and Damping in Distributed Systems, Volume I provides a comprehensive account of the mathematical study and self-contained analysis of vibration and damping in systems governed by partial differential equations. The book presents partial differential equations techniques for the…

Hardback – 1993-09-22

CRC Press*Studies in Advanced Mathematics*### An Introduction to Operator Algebras

An Introduction to Operator Algebras is a concise text/reference that focuses on the fundamental results in operator algebras. Results discussed include Gelfand's representation of commutative C*-algebras, the GNS construction, the spectral theorem, polar decomposition, von Neumann's double…

Hardback – 1993-05-27

CRC Press*Studies in Advanced Mathematics*### Several Complex Variables and the Geometry of Real Hypersurfaces

Several Complex Variables and the Geometry of Real Hypersurfaces covers a wide range of information from basic facts about holomorphic functions of several complex variables through deep results such as subelliptic estimates for the ?-Neumann problem on pseudoconvex domains with a real analytic…

Hardback – 1993-01-06

CRC Press*Studies in Advanced Mathematics*### Partial Differential Equations and Complex Analysis

Ever since the groundbreaking work of J.J. Kohn in the early 1960s, there has been a significant interaction between the theory of partial differential equations and the function theory of several complex variables. Partial Differential Equations and Complex Analysis explores the background and…

Hardback – 1992-07-02

CRC Press*Studies in Advanced Mathematics*### Measure Theory and Fine Properties of Functions

This book provides a detailed examination of the central assertions of measure theory in n-dimensional Euclidean space and emphasizes the roles of Hausdorff measure and the capacity in characterizing the fine properties of sets and functions. Topics covered include a quick review of abstract…

Hardback – 1991-12-18

CRC Press*Studies in Advanced Mathematics*### Elementary Introduction to the Theory of Pseudodifferential Operators

In the 19th century, the Fourier transformation was introduced to study various problems of partial differential equations. Since 1960, this old tool has been developed into a well-organized theory called microlocal analysis that is based on the concept of the pseudo-differential operator. This…

Hardback – 1991-09-17

CRC Press*Studies in Advanced Mathematics*### CR Manifolds and the Tangential Cauchy Riemann Complex

CR Manifolds and the Tangential Cauchy Riemann Complex provides an elementary introduction to CR manifolds and the tangential Cauchy-Riemann Complex and presents some of the most important recent developments in the field. The first half of the book covers the basic definitions and background…

Hardback – 1991-09-12

CRC Press*Studies in Advanced Mathematics*