The Theory of Functions of Real Variables - Brossura

Graves, Lawrence M.

Brossura

ISBN 10: 0486474348 ISBN 13: 9780486474342

Casa editrice: Dover Pubns, 2009

Riassunto

"In scope and choice of subject matter," declared the Bulletin of the American Mathematics Society, "this text is nicely calculated to suit the needs of introductory classes in real variable theory." A balanced treatment, it covers all of the fundamentals, from the real number system and point sets to set theory and metric spaces.
Starting with a brief exposition of the ideas and methods of deductive logic, the text proceeds to the postulates of Peano for the natural numbers and outlines a method for constructing the real number system. Subsequent chapters explore functions and their limits, the properties of continuous functions, fundamental theorems on differentiation, the Riemann integral, and uniform convergence. Additional topics include ordinary differential equations, the Lebesgue and Stieltjes integrals, and transfinite numbers. Useful, well-chosen lists of references to the literature conclude each chapter.

Su questo libro

Contenuti

Preface Chapter I. INTRODUCTION Chapter II. THE REAL NUMBER SYSTEM Chapter III. POINT SETS Chapter IV. FUNCTIONS AND THEIR LIMITS. PROPERTIES OF CONTINOUS FUNCTIONS Chapter V. FUNDAMENTAL THEOREMS ON DIFFERENTIATION Chapter VI. THE RIEMANN INTEGRAL Chapter VII. UNIFOEM CONVERGENCE Chapter VIII. FUNCTIONS DEFINED IMPLICITLY Chapter IX. ORDINARY DIFFERENTIAL EQUATIONS Chapter X. THE LEBESGUE INTEGRAL Chapter XI. THE LEBESGUE INTEGRAL (continued) Chapter XII. THE STIELTJES INTEGRAL Chapter XIII THE THEORY OF SETS AND TRANSFINITE NUMBERS Chapter XIV. METRIC SPACES Index

Product Description

Theory Of Functions Of Real Variables, 2/E, Graves Lawrence M, 9780486474342, Dover Publications, 2009, Paperback

Dettagli dell'edizione

• Editore: Dover Pubns
• Data di pubblicazione: 2009
• Lingua: Inglese
• ISBN 10: 0486474348
• ISBN 13: 9780486474342
• Rilegatura: Copertina flessibile
• Numero edizione: 2
• Numero di pagine: 375
• Contatto del produttore: non disponibile
• Persona responsabile: Soc. Agr. La Raia Ss; http://www.la-raia.it; ; Strada Monterotondo, 79; Novi Ligure; 15067; Italia