Calculus Two

Linear and Nonlinear Functions

Francis J. Flanigan, Jerry L. Kazdan

620 pages, parution le 01/01/1990 (2^eme édition)

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Résumé

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.

Contents

Remembrance of Things Past 1
1 The Algebra of Rn 5
2 The Geometry of Rn 71
3 Linear Functions 103
4 Curves: Mappings F:R X Rq 207
5 Topics for Review and Preview 263
6 Functions f:Rn X R 313
7 Scalar-Valued Functions and Extrema 369
8 Vector Functions F:Rn X Rq 417
9 Integration in Rn 455
10 Vector Integrals and Stokes' Theorem 529

Answers and Partial Answers to Selected Exercises 581
Index

Caractéristiques techniques

	PAPIER
Éditeur(s)	Springer
Auteur(s)	Francis J. Flanigan, Jerry L. Kazdan
Parution	01/01/1990
Édition	2^eme édition
Nb. de pages	620
Format	16 x 24
Couverture	Relié
Poids	1032g
Intérieur	Noir et Blanc
EAN13	9780387973883
ISBN13	978-3-540-97388-1