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Author: Lawrence M Graves
Publisher: Courier Corporation
Published: 2012-01-27
Total Pages: 361
ISBN-13: 0486158136
DOWNLOAD EBOOKThis balanced introduction covers all fundamentals, from the real number system and point sets to set theory and metric spaces. Useful references to the literature conclude each chapter. 1956 edition.
Author: Bowen Kerins
Publisher: American Mathematical Soc.
Published: 2015-10-15
Total Pages: 218
ISBN-13: 147042195X
DOWNLOAD EBOOKDesigned for precollege teachers by a collaborative of teachers, educators, and mathematicians, Famous Functions in Number Theory is based on a course offered in the Summer School Teacher Program at the Park City Mathematics Institute. But this book isn't a "course" in the traditional sense. It consists of a carefully sequenced collection of problem sets designed to develop several interconnected mathematical themes, and one of the goals of the problem sets is for readers to uncover these themes for themselves. Famous Functions in Number Theory introduces readers to the use of formal algebra in number theory. Through numerical experiments, participants learn how to use polynomial algebra as a bookkeeping mechanism that allows them to count divisors, build multiplicative functions, and compile multiplicative functions in a certain way that produces new ones. One capstone of the investigations is a beautiful result attributed to Fermat that determines the number of ways a positive integer can be written as a sum of two perfect squares. Famous Functions in Number Theory is a volume of the book series "IAS/PCMI-The Teacher Program Series" published by the American Mathematical Society. Each volume in that series covers the content of one Summer School Teacher Program year and is independent of the rest. Titles in this series are co-published with the Institute for Advanced Study/Park City Mathematics Institute. Members of the Mathematical Association of America (MAA) and the National Council of Teachers of Mathematics (NCTM) receive a 20% discount from list price.
Author: Henri Cartan
Publisher: Courier Corporation
Published: 2013-04-22
Total Pages: 242
ISBN-13: 0486318672
DOWNLOAD EBOOKBasic 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.
Author: Vasiliy Sergeyevich Vladimirov
Publisher: Courier Corporation
Published: 2007-01-01
Total Pages: 370
ISBN-13: 0486458121
DOWNLOAD EBOOKThis systematic exposition outlines the fundamentals of the theory of single sheeted domains of holomorphy. It further illustrates applications to quantum field theory, the theory of functions, and differential equations with constant coefficients. Students of quantum field theory will find this text of particular value. The text begins with an introduction that defines the basic concepts and elementary propositions, along with the more salient facts from the theory of functions of real variables and the theory of generalized functions. Subsequent chapters address the theory of plurisubharmonic functions and pseudoconvex domains, along with characteristics of domains of holomorphy. These explorations are further examined in terms of four types of domains: multiple-circular, tubular, semitubular, and Hartogs' domains. Surveys of integral representations focus on the Martinelli-Bochner, Bergman-Weil, and Bochner representations. The final chapter is devoted to applications, particularly those involved in field theory. It employs the theory of generalized functions, along with the theory of functions of several complex variables.
Author: Konrad Knopp
Publisher:
Published: 1948
Total Pages: 142
ISBN-13:
DOWNLOAD EBOOKAuthor: Reinhold Remmert
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 464
ISBN-13: 1461209390
DOWNLOAD EBOOKA lively and vivid look at the material from function theory, including the residue calculus, supported by examples and practice exercises throughout. There is also ample discussion of the historical evolution of the theory, biographical sketches of important contributors, and citations - in the original language with their English translation - from their classical works. Yet the book is far from being a mere history of function theory, and even experts will find a few new or long forgotten gems here. Destined to accompany students making their way into this classical area of mathematics, the book offers quick access to the essential results for exam preparation. Teachers and interested mathematicians in finance, industry and science will profit from reading this again and again, and will refer back to it with pleasure.
Author: Konrad Knopp
Publisher: Courier Corporation
Published: 2013-07-24
Total Pages: 340
ISBN-13: 0486318702
DOWNLOAD EBOOKHandy one-volume edition. Part I considers general foundations of theory of functions; Part II stresses special and characteristic functions. Proofs given in detail. Introduction. Bibliographies.
Author: Gennadiĭ Mikhaĭlovich Goluzin
Publisher: American Mathematical Soc.
Published: 1969
Total Pages: 690
ISBN-13: 9780821886557
DOWNLOAD EBOOKAuthor: A. I. Markushevich
Publisher: American Mathematical Soc.
Published: 2013
Total Pages: 1178
ISBN-13: 082183780X
DOWNLOAD EBOOKAuthor: Sheldon Axler
Publisher: Springer Science & Business Media
Published: 2013-11-11
Total Pages: 266
ISBN-13: 1475781377
DOWNLOAD EBOOKThis book is about harmonic functions in Euclidean space. This new edition contains a completely rewritten chapter on spherical harmonics, a new section on extensions of Bochers Theorem, new exercises and proofs, as well as revisions throughout to improve the text. A unique software package supplements the text for readers who wish to explore harmonic function theory on a computer.
