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.

Inhalt

Sequences
1. Functions of a Single Variable
2. Limit of a Function
3. Differential Calculus for Functions of a Single Variable
4. Fundamental Theorems of the Differential Calculus
5. Applications of Differential Calculus
6. The Differential
7. The Indefinite Integral
8. The Definite Integral
9. Applications of the Definite Integral
10. Infinite Series
11. Various Problems
  Solutions, Hints, Answers. Index. List of Greek Letters.