Calculus Two: Linear and Nonlinear Functions (Undergraduate Texts in Mathematics)

Flanigan, Francis J.,Kazdan, Jerry L.

ISBN 10: 0387973885 / ISBN 13: 9780387973883

Editore: Springer, 1990

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Cover and edges may have some wear. Loose binding, good reading copy. Codice articolo mon0003782216

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Titolo: Calculus Two: Linear and Nonlinear Functions...

Casa editrice: Springer

Data di pubblicazione: 1990

Legatura: hardcover

Condizione: Good

Edizione: seconda edizione

Descrizione articolo

Riassunto:

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.

Contenuti:

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.