Studies in Advanced Mathematics
Wavelets and Other Orthogonal Systems
2nd Edition
By Gilbert G. Walter, Xiaoping Shen
September 19, 2019
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...
A Primer on Wavelets and Their Scientific Applications
2nd Edition
By James S. Walker
January 29, 2008
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 ...
An Introduction to Quasigroups and Their Representations
1st Edition
By Jonathan D. H. Smith
November 15, 2006
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 ...
Differential Geometry and Topology: With a View to Dynamical Systems
1st Edition
By Keith Burns, Marian Gidea
May 27, 2005
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 ...
Higher-Order Finite Element Methods
1st Edition
By Pavel Solin, Karel Segeth, Ivo Dolezel
July 28, 2003
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 ...
Mathematical Quantization
1st Edition
By Nik Weaver
May 31, 2001
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 ...
Algebra: A Computational Introduction
1st Edition
By John Scherk
June 23, 2000
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 ...
Spectral Geometry, Riemannian Submersions, and the Gromov-Lawson Conjecture
1st Edition
By Peter B. Gilkey, John V Leahy, JeongHyeong Park
July 27, 1999
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 ...
Dynamical Systems: Stability, Symbolic Dynamics, and Chaos
2nd Edition
By Clark Robinson
November 17, 1998
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 ...
A First Course on Wavelets
1st Edition
By Eugenio Hernandez, Guido Weiss
September 12, 1996
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 ...
Fast Fourier Transforms
2nd Edition
By James S. Walker
August 22, 1996
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 ...
Composition Operators on Spaces of Analytic Functions
1st Edition
By Carl C. Cowen, Jr., Barbara I. MacCluer
April 27, 1995
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 ...