Calculus Two

by Flanigan, Francis J.; Kazdan, Jerry L.

• ISBN13: 9780387973883
• ISBN10: 0387973885
• Edition: 2nd
• Format: Hardcover
• Copyright: 1990-09-01
• Publisher: Springer Verlag

Summary

Calculus and linear algebra are two dominant themes in contemporary mathematics and its applications. The aim of this book is to introduce linear algebra in an intuitive geometric setting as the study of linear maps and to use these simpler linear functions to study more complicated nonlinear functions. In this way, many of the ideas, techniques, and formulas in the calculus of several variables are clarified and understood in a more conceptual way. After using this text a student should be well prepared for subsequent advanced courses in both algebra and linear differential equations as well as the many applications where linearity and its interplay with nonlinearity are significant. This second edition has been revised to clarify the concepts. Many exercises and illustrations have been included to make the text more usable for students.

Table of Contents

Remembrance of Things Past

The Algebra of Rn

The Geometry of Rn

Linear Functions

Curves: Mappings F: R-Rq

Topics for Review and Preview

Functions f: Rn-R

Scalar-Valued Functions and Extrema

Vector Functions F: Rn-Rq

Integration in Rn

Vector Integrals and Stokes' Theorem

Answers and Partial

Answers to Selected Exercises

Index

Table of Contents provided by Publisher. All Rights Reserved.