A Course of Pure Mathematics: Third Edition

by G. H. Hardy

Overview

Originally published in 1908, this classic calculus text transformed university teaching and remains a must-read for all students of introductory mathematical analysis. Clear, rigorous explanations of the mathematics of analytical number theory and calculus cover single-variable calculus, sequences, number series, and properties of cos, sin, and log. Meticulous expositions detail the fundamental ideas underlying differential and integral calculus, the properties of infinite series, and the notion of limit.
An expert in the fields of analysis and number theory, author G. H. Hardy taught for decades at both Cambridge and Oxford. A Course of Pure Mathematics is suitable for college and high school students and teachers of calculus as well as fans of pure math. Each chapter includes demanding problem sets that allow students to apply the principles directly, and four helpful Appendixes supplement the text.

Product Details

ISBN-13:	9780486832616
Publisher:	Dover Publications
Publication date:	08/28/2018
Sold by:	Barnes & Noble
Format:	eBook
Pages:	464
File size:	28 MB
Note:	This product may take a few minutes to download.

About the Author

English mathematician G. H. Hardy (1877–1947) specialized in number theory and mathematical analysis and is responsible for biology's Hardy-Weinberg principle of population genetics. He mentored Indian mathematician Srinivasa Ramanujan, with whom he coined the Hardy-Ramanujan number, and he wrote the classic essay, "A Mathematician's Apology."

Table of Contents

CHAPTER I REAL VARIABLES,
CHAPTER II FUNCTIONS OF REAL VARIABLES,
CHAPTER III COMPLEX NUMBERS,
CHAPTER IV LIMITS OF FUNCTIONS OF A POSITIVE INTEGRAL VARIABLE,
CHAPTER V LIMITS OF FUNCTIONS OF A CONTINUOUS VARIABLE. CONTINUOUS AND DISCONTINUOUS FUNCTIONS,
CHAPTER VI DERIVATIVES AND INTEGRALS,
CHAPTER VII ADDITIONAL THEOREMS IN THE DIFFERENTIAL AND INTEGRAL CALCULUS,
CHAPTER VIII THE CONVERGENCE OF INFINITE SERIES AND INFINITE INTEGRALS,
CHAPTER IX THE LOGARITHMIC AND EXPONENTIAL FUNCTIONS OF A REAL VARIABLE,
CHAPTER X THE GENERAL THEORY OF THE LOGARITHMIC, EXPONENTIAL, AND CIRCULAR FUNCTIONS,
Appendix I., The proof that every equation has a root,
Appendix II. A note on double limit problems, 439,
Appendix III. The circular functions, 443,
Appendix IV. The infinite in analysis and geometry, 445,