Mathematics Form and Function

Mathematics Form and Function
Author: Saunders MacLane
Publisher: Springer Science & Business Media
Total Pages: 486
Release: 2012-12-06
Genre: Mathematics
ISBN: 1461248728

This book records my efforts over the past four years to capture in words a description of the form and function of Mathematics, as a background for the Philosophy of Mathematics. My efforts have been encouraged by lec tures that I have given at Heidelberg under the auspices of the Alexander von Humboldt Stiftung, at the University of Chicago, and at the University of Minnesota, the latter under the auspices of the Institute for Mathematics and Its Applications. Jean Benabou has carefully read the entire manuscript and has offered incisive comments. George Glauberman, Car los Kenig, Christopher Mulvey, R. Narasimhan, and Dieter Puppe have provided similar comments on chosen chapters. Fred Linton has pointed out places requiring a more exact choice of wording. Many conversations with George Mackey have given me important insights on the nature of Mathematics. I have had similar help from Alfred Aeppli, John Gray, Jay Goldman, Peter Johnstone, Bill Lawvere, and Roger Lyndon. Over the years, I have profited from discussions of general issues with my colleagues Felix Browder and Melvin Rothenberg. Ideas from Tammo Tom Dieck, Albrecht Dold, Richard Lashof, and Ib Madsen have assisted in my study of geometry. Jerry Bona and B.L. Foster have helped with my examina tion of mechanics. My observations about logic have been subject to con structive scrutiny by Gert Miiller, Marian Boykan Pour-El, Ted Slaman, R. Voreadou, Volker Weispfennig, and Hugh Woodin.

Functions and Graphs

Functions and Graphs
Author: I. M. Gelfand
Publisher: Courier Corporation
Total Pages: 116
Release: 2013-04-09
Genre: Mathematics
ISBN: 0486317137

This text demonstrates the fundamentals of graph theory. The first part employs simple functions to analyze basics; second half deals with linear functions, quadratic trinomials, linear fractional functions, power functions, rational functions. 1969 edition.

Human Form & Function

Human Form & Function
Author: Pamela Mary Minett
Publisher:
Total Pages: 46
Release: 1994
Genre: Human biology
ISBN: 9781873600108

Handbook of Mathematical Functions

Handbook of Mathematical Functions
Author: Milton Abramowitz
Publisher: Courier Corporation
Total Pages: 1068
Release: 1965-01-01
Genre: Mathematics
ISBN: 9780486612720

An extensive summary of mathematical functions that occur in physical and engineering problems

NIST Handbook of Mathematical Functions Hardback and CD-ROM

NIST Handbook of Mathematical Functions Hardback and CD-ROM
Author: Frank W. J. Olver
Publisher: Cambridge University Press
Total Pages: 968
Release: 2010-05-17
Genre: Mathematics
ISBN: 0521192250

The new standard reference on mathematical functions, replacing the classic but outdated handbook from Abramowitz and Stegun. Includes PDF version.

Elementary Theory of Analytic Functions of One or Several Complex Variables

Elementary Theory of Analytic Functions of One or Several Complex Variables
Author: Henri Cartan
Publisher: Courier Corporation
Total Pages: 242
Release: 2013-04-22
Genre: Mathematics
ISBN: 0486318672

Basic treatment includes existence theorem for solutions of differential systems where data is analytic, holomorphic functions, Cauchy's integral, Taylor and Laurent expansions, more. Exercises. 1973 edition.

Modular Functions and Dirichlet Series in Number Theory

Modular Functions and Dirichlet Series in Number Theory
Author: Tom M. Apostol
Publisher: Springer Science & Business Media
Total Pages: 218
Release: 2012-12-06
Genre: Mathematics
ISBN: 1461209994

A new edition of a classical treatment of elliptic and modular functions with some of their number-theoretic applications, this text offers an updated bibliography and an alternative treatment of the transformation formula for the Dedekind eta function. It covers many topics, such as Hecke’s theory of entire forms with multiplicative Fourier coefficients, and the last chapter recounts Bohr’s theory of equivalence of general Dirichlet series.

The Gamma Function

The Gamma Function
Author: Emil Artin
Publisher: Courier Dover Publications
Total Pages: 52
Release: 2015-01-28
Genre: Mathematics
ISBN: 0486803007

This brief monograph on the gamma function was designed by the author to fill what he perceived as a gap in the literature of mathematics, which often treated the gamma function in a manner he described as both sketchy and overly complicated. Author Emil Artin, one of the twentieth century's leading mathematicians, wrote in his Preface to this book, "I feel that this monograph will help to show that the gamma function can be thought of as one of the elementary functions, and that all of its basic properties can be established using elementary methods of the calculus." Generations of teachers and students have benefitted from Artin's masterly arguments and precise results. Suitable for advanced undergraduates and graduate students of mathematics, his treatment examines functions, the Euler integrals and the Gauss formula, large values of x and the multiplication formula, the connection with sin x, applications to definite integrals, and other subjects.