The Theory of Functions of Real Variables

Second Edition

Nonfiction, Science & Nature, Mathematics
Cover of the book The Theory of Functions of Real Variables by Lawrence  M Graves, Dover Publications
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Lawrence M Graves ISBN: 9780486158136
Publisher: Dover Publications Publication: January 27, 2012
Imprint: Dover Publications Language: English
Author: Lawrence M Graves
ISBN: 9780486158136
Publisher: Dover Publications
Publication: January 27, 2012
Imprint: Dover Publications
Language: English
"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.
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
"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.

More books from Dover Publications

Cover of the book King Arthur by Lawrence  M Graves
Cover of the book The Rhythm Book by Lawrence  M Graves
Cover of the book Introduction to Artificial Intelligence by Lawrence  M Graves
Cover of the book The Idea of Progress by Lawrence  M Graves
Cover of the book A Concise Dictionary of Architectural Terms by Lawrence  M Graves
Cover of the book Eighty Drawings by Lawrence  M Graves
Cover of the book The Phenomenology of Mind by Lawrence  M Graves
Cover of the book Fractals Everywhere by Lawrence  M Graves
Cover of the book Great Poems by American Women by Lawrence  M Graves
Cover of the book Favorite Celtic Fairy Tales by Lawrence  M Graves
Cover of the book English as She Is Spoke by Lawrence  M Graves
Cover of the book Hydrodynamic and Hydromagnetic Stability by Lawrence  M Graves
Cover of the book The Nature of the Judicial Process by Lawrence  M Graves
Cover of the book Patriotism by Lawrence  M Graves
Cover of the book Shakespeare Lexicon and Quotation Dictionary, Vol. 1 by Lawrence  M Graves
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy