CRC Concise Encyclopedia of Mathematics

Author: Eric W. Weisstein

Publisher: CRC Press

ISBN: 1420035223

Category: Mathematics

Page: 3252

View: 1367


Upon publication, the first edition of the CRC Concise Encyclopedia of Mathematics received overwhelming accolades for its unparalleled scope, readability, and utility. It soon took its place among the top selling books in the history of Chapman & Hall/CRC, and its popularity continues unabated. Yet also unabated has been the d

Exercises in Fourier Analysis

Author: T. W. Körner

Publisher: Cambridge University Press

ISBN: 9780521438490

Category: Mathematics

Page: 385

View: 8389


Fourier analysis is an indispensable tool for physicists, engineers and mathematicians. A wide variety of the techniques and applications of fourier analysis are discussed in Dr. Körner's highly popular book, An Introduction to Fourier Analysis (1988). In this book, Dr. Körner has compiled a collection of exercises on Fourier analysis that will thoroughly test the reader's understanding of the subject. They are arranged chapter by chapter to correspond with An Introduction to Fourier Analysis, and for all who enjoyed that book, this companion volume will be an essential purchase.

Representations of Integers as Sums of Squares

Author: E. Grosswald

Publisher: Springer Science & Business Media

ISBN: 1461385660

Category: Mathematics

Page: 251

View: 2556


During the academic year 1980-1981 I was teaching at the Technion-the Israeli Institute of Technology-in Haifa. The audience was small, but con sisted of particularly gifted and eager listeners; unfortunately, their back ground varied widely. What could one offer such an audience, so as to do justice to all of them? I decided to discuss representations of natural integers as sums of squares, starting on the most elementary level, but with the inten tion of pushing ahead as far as possible in some of the different directions that offered themselves (quadratic forms, theory of genera, generalizations and modern developments, etc.), according to the interests of the audience. A few weeks after the start of the academic year I received a letter from Professor Gian-Carlo Rota, with the suggestion that I submit a manuscript for the Encyclopedia of Mathematical Sciences under his editorship. I answered that I did not have a ready manuscript to offer, but that I could use my notes on representations of integers by sums of squares as the basis for one. Indeed, about that time I had already started thinking about the possibility of such a book and had, in fact, quite precise ideas about the kind of book I wanted it to be.

An Introduction to the Approximation of Functions

Author: Theodore J. Rivlin

Publisher: Courier Corporation

ISBN: 9780486495545

Category: Mathematics

Page: 150

View: 9240


Concise but wide-ranging, this text provides an introduction to methods of approximating continuous functions by functions that depend only on a finite number of parameters. Not only does the author discuss the theoretical underpinnings of many common algorithms, but he also demonstrates the procedure's practical applications. Each method of approximation features at least one algorithm that traces the path to formulation of the actual numerical approximation. This volume will prove particularly useful as a supplement to introductory courses in both mathematical and numerical analysis; written for upper-level graduate students, it presupposes a knowledge of advanced calculus and linear algebra.