Advanced Calculus: An Introduction to Modem Analysis

ISBN-13: 9780824769499 / Angielski / Twarda / 1981 / 696 str.

W. L. Voxman; R. H. Goetschel; William L. Voxman

Opis

This book introduces both the theory and applications of elementary analysis, with emphasis on the genesis and resolution of a variety of applied problems. It is helpful for the motivated student whose mathematical background consists of only a two-or three-semester calculus sequence.

Spis treści

1. Preliminaries 2. Introduction to Linear Algebra and Ordinary Differential Equations 3. Limits and Metric Spaces 4. Continuity, Compactness, and Connectedness 5. The Derivative: Theory and Elementary Applications 6. A First Look at Integration 7. Differentiation of Functions of Several Variables 8. Sequences And Series 9. Elementary Applications of Infinite Series 10. An Introduction to Fourier Analysis 11. An Introduction to Modern Integration Theory 12. An Introduction to Complex Integration 13. The Fourier and Laplace Transforms 14. A Sampling of Numerical Analysis

O autorze

Voxman\,