
Calculus Two
Linear and Nonlinear Functions
Springer (Publisher)
2nd Edition
Published on 24. September 1990
Book
Hardback
XVIII, 622 pages
978-0-387-97388-3 (ISBN)
Description
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.
More details
Series
Edition
Second Edition 1990
Language
English
Place of publication
New York
United States
Target group
Lower undergraduate
Edition type
Revised edition
Illustrations
XVIII, 622 p.
Dimensions
Height: 241 mm
Width: 160 mm
Thickness: 40 mm
Weight
1121 gr
ISBN-13
978-0-387-97388-3 (9780387973883)
Schweitzer Classification
Persons
Author
Editorial board member
Content
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.