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Studies in Advanced Mathematics


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Wavelets and Other Orthogonal Systems

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...

Algebra A Computational Introduction

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 ...

An Introduction to Operator Algebras

An Introduction to Operator Algebras

1st Edition

By Kehe Zhu
May 27, 1993

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 ...

Invariance Theory The Heat Equation and the Atiyah-Singer Index Theorem

Invariance Theory: The Heat Equation and the Atiyah-Singer Index Theorem

1st Edition

By Peter B. Gilkey
December 22, 1994

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 ...

Fast Fourier Transforms

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 ...

A Primer on Wavelets and Their Scientific Applications

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

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

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

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

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 ...

Functional Analysis in Applied Mathematics and Engineering

Functional Analysis in Applied Mathematics and Engineering

1st Edition

By Michael Pedersen
September 29, 1999

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 ...

Spectral Geometry, Riemannian Submersions, and the Gromov-Lawson Conjecture

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 ...

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