A Course of Pure Mathematics: Third Edition

A Course of Pure Mathematics: Third Edition

by G. H. Hardy
A Course of Pure Mathematics: Third Edition

A Course of Pure Mathematics: Third Edition

by G. H. Hardy

Paperback(Reprint)

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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: 9780486822358
Publisher: Dover Publications
Publication date: 07/18/2018
Edition description: Reprint
Pages: 464
Product dimensions: 6.00(w) x 8.90(h) x 1.00(d)

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

I. Real Variables
II. Functions of Real Variables
III. Complex Numbers
IV. Limits of Functions of a Positive Integral Variable
V. Limits of Functions of a Continuous Variable. Continuous and Discontinuous Functions
VI. Derivatives and Integrals
VII. Additional Theorems in the Differential and Integral Calculus
VIII. The Convergence of Infinite Series and Infinite Integrals
IX. The Logarithmic and Exponential Functions of a Real Variable
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
Appendix III. The Circular Functions
Appendix IV. The Infinite in Analysis and Geometry
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