Synopses & Reviews
Ideal for self-instruction as well as for classroom use, this text helps students improve their understanding and problem-solving skills in analysis, analytic geometry, and higher algebra. More than 1,200 problems appear in the text, with concise explanations of the basic notions and theorems to be used in their solution. Many are followed by complete answers; solutions for the others appear at the end of the book. Topics include sequences, functions of a single variable, limit of a function, differential calculus for functions of a single variable, fundamental theorems and applications of differential calculus, the differential, indefinite and definite integrals, applications of the definite integral, and infinite series.
Synopsis
Ideal for self-instruction as well as classroom use, this text helps students develop improved understanding and problem-solving skills in calculus. It features more than 1,200 problems, with concise explanations of the basic notions and theorems to be used in their solutions; complete answers appear in the text and at the end of the book. Unabridged republication of the edition published by Holden-Day, Inc., San Francisco, 1963.
Synopsis
This text helps students improve their understanding and problem-solving skills in analysis, analytic geometry, and higher algebra. Over 1,200 problems, with hints and complete solutions. Topics include sequences, functions of a single variable, limit of a function, differential calculus for functions of a single variable, the differential, indefinite and definite integrals, more. 1963 edition.
Table of Contents
1. Sequences
2. Functions of a Single Variable
3. Limit of a Function
4. Differential Calculus for Functions of a Single Variable
5. Fundamental Theorems of the Differential Calculus
6. Applications of Differential Calculus
7. The Differential
8. The Indefinite Integral
9. The Definite Integral
10. Applications of the Definite Integral
11. Infinite Series
12. Various Problems
Solutions, Hints, Answers. Index. List of Greek Letters.