Calculus Two
Linear and Nonlinear Functions
Springer (Publisher)
2nd Edition
Published in October 1990
Book
Hardback
XVII, 619 pages
978-3-540-97388-1 (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
2., ed.
Language
German
Place of publication
Berlin
Germany
Target group
College/higher education
Professional and scholarly
Edition type
New edition
Illustrations
207 figs.
Dimensions
Height: 240 mm
Weight
1030 gr
ISBN-13
978-3-540-97388-1 (9783540973881)
Schweitzer Classification
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.