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Books in Analysis

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31-40 of 42 results in All results

Causal Symmetric Spaces

  • 1st Edition
  • Volume 18
  • September 11, 1996
  • Gestur Olafsson + 1 more
  • Sigurdur Helgason
  • English
  • eBook
    9 7 8 - 0 - 0 8 - 0 5 2 8 7 2 - 4
This book is intended to introduce researchers and graduate students to the concepts of causal symmetric spaces. To date, results of recent studies considered standard by specialists have not been widely published. This book seeks to bring this information to students and researchers in geometry and analysis on causal symmetric spaces.

Handbook of Mathematical Formulas and Integrals

  • 1st Edition
  • September 13, 1995
  • Alan Jeffrey
  • English
  • eBook
    9 7 8 - 1 - 4 8 3 2 - 9 5 1 4 - 5
If there is a formula to solve a given problem in mathematics, you will find it in Alan Jeffrey's Handbook of Mathematical Formulas and Integrals. Thanks to its unique thumb-tab indexing feature, answers are easy to find based upon the type of problem they solve. The Handbook covers important formulas, functions, relations, and methods from algebra, trigonometric and exponential functions, combinatorics, probability, matrix theory, calculus and vector calculus, both ordinary and partial differential equations, Fourier series, orthogonal polynomials, and Laplace transforms. Based on Gradshteyn and Ryzhik's Table of Integrals, Series, and Products, Fifth Edition (edited by Jeffrey), but far more accessible and written with particular attention to the needs of students and practicing scientists and engineers, this book is an essential resource. Affordable and authoritative, it is the first place to look for help and a rewarding place to browse.

Harmonic Analysis and Special Functions on Symmetric Spaces

  • 1st Edition
  • Volume 16
  • February 8, 1995
  • Gerrit Heckman
  • English
  • eBook
    9 7 8 - 0 - 0 8 - 0 5 3 3 2 9 - 2
The two parts of this sharply focused book, Hypergeometric and Special Functions and Harmonic Analysis on Semisimple Symmetric Spaces, are derived from lecture notes for the European School of Group Theory, a forum providing high-level courses on recent developments in group theory. The authors provide students and researchers with a thorough and thoughtful overview, elaborating on the topic with clear statements of definitions and theorems and augmenting these withtime-saving examples. An extensive set of notes supplements the text.Heckman and Schlichtkrull extend the ideas of harmonic analysis on semisimple symmetric spaces to embrace the theory of hypergeometric and spherical functions and show that the K-variant Eisenstein integrals for G/H are hypergeometric functions under this theory. They lead readers from the fundamentals of semisimple symmetric spaces of G/H to the frontier, including generalization, to the Riemannian case. This volume will interest harmonic analysts, those working on or applying the theory of symmetric spaces; it will also appeal to those with an interest in special functions.

Calculus

  • 1st Edition
  • January 1, 1995
  • R. M. Johnson
  • English
  • eBook
    9 7 8 - 0 - 8 5 7 0 9 - 9 8 6 - 0
This lucid and balanced introduction for first year engineers and applied mathematicians conveys the clear understanding of the fundamentals and applications of calculus, as a prelude to studying more advanced functions. Short and fundamental diagnostic exercises at the end of each chapter test comprehension before moving to new material.

Finite Elements for Analysis and Design

  • 1st Edition
  • March 15, 1994
  • J. E. Akin
  • John R. Whiteman + 1 more
  • English
  • eBook
    9 7 8 - 0 - 0 8 - 0 5 0 6 4 7 - 0
The finite element method (FEM) is an analysis tool for problem-solving used throughout applied mathematics, engineering, and scientific computing. Finite Elements for Analysis and Design provides a thoroughlyrevised and up-to-date account of this important tool and its numerous applications, with added emphasis on basic theory. Numerous worked examples are included to illustrate the material.

Recursive Functionals

  • 1st Edition
  • Volume 131
  • May 18, 1992
  • L.E. Sanchis
  • English
  • eBook
    9 7 8 - 0 - 0 8 - 0 8 8 7 1 7 - 3
This work is a self-contained elementary exposition of the theory of recursive functionals, that also includes a number of advanced results. Although aiming basically at a theory of higher order computability, attention is restricted to second order functionals, where the arguments are numerical functions and the values, when defined, are natural numbers. This theory is somewhat special, for to some extent it can be reduced to first order theory, but when properly extended and relativized it requires the full machinery of higher order computations. In the theory of recursive monotonic functionals the author formulates a reasonable notion of computation which provides the right frame for what appears to be a convincing form of the extended Church's thesis. At the same time, the theory provides sufficient room to formulate the classical results that are usually derived in terms of singular functionals. Presented are complete proofs of Gandy's selector theorem, Kleene's theorem on hyperarithmetical predicates, and Grilliot's theorem on effectively discontinuous functionals.

An Introduction to Wavelets

  • 1st Edition
  • Volume 1
  • January 3, 1992
  • Charles K. Chui
  • English
  • Hardback
    9 7 8 - 0 - 1 2 - 1 7 4 5 8 4 - 4
  • eBook
    9 7 8 - 0 - 0 8 - 0 4 9 9 0 6 - 2
An Introduction to Wavelets is the first volume in a new series, WAVELET ANALYSIS AND ITS APPLICATIONS. This is an introductory treatise on wavelet analysis, with an emphasis on spline wavelets and time-frequency analysis. Among the basic topics covered in this book are time-frequency localization, integral wavelet transforms, dyadic wavelets, frames, spline-wavelets, orthonormal wavelet bases, and wavelet packets. In addition, the author presents a unified treatment of nonorthogonal, semiorthogonal, and orthogonal wavelets. This monograph is self-contained, the only prerequisite being a basic knowledge of function theory and real analysis. It is suitable as a textbook for a beginning course on wavelet analysis and is directed toward both mathematicians and engineers who wish to learn about the subject. Specialists may use this volume as a valuable supplementary reading to the vast literature that has already emerged in this field.

Principles of Real Analysis

  • 2nd Edition
  • May 9, 1990
  • Charalambos D. Aliprantis + 1 more
  • English
  • eBook
    9 7 8 - 0 - 1 2 - 8 0 1 5 0 2 - 5
This major textbook on real analysis is now available in a corrected and slightly amended reprint. It covers the basic theory of integration in a clear, well-organized manner using an imaginative and highly practical synthesis of the 'Daniell method' and the measure-theoretic approach. It is the ideal text for senior undergraduate and first-year graduate courses in real analysis, assuming student familiarity with advanced calculus and basic algebraic concepts.

Real Reductive Groups I

  • 1st Edition
  • Volume 132
  • March 1, 1988
  • Nolan R. Wallach
  • English
  • eBook
    9 7 8 - 0 - 0 8 - 0 8 7 4 5 1 - 7
Real Reductive Groups I is an introduction to the representation theory of real reductive groups. It is based on courses that the author has given at Rutgers for the past 15 years. It also had its genesis in an attempt of the author to complete a manuscript of the lectures that he gave at the CBMS regional conference at The University of North Carolina at Chapel Hill in June of 1981. This book comprises 10 chapters and begins with some background material as an introduction. The following chapters then discuss elementary representation theory; real reductive groups; the basic theory of (g, K)-modules; the asymptotic behavior of matrix coefficients; The Langlands Classification; a construction of the fundamental series; cusp forms on G; character theory; and unitary representations and (g, K)-cohomology. This book will be of interest to mathematicians and statisticians.