Calculus Two: Linear and Nonlinear Functions

Francis J. Flanigan

ISBN 10: 0387973885 / ISBN 13: 9780387973883

Editore: Springer-Verlag New York Inc., 1990

Riguardo questo articolo

This item is printed on demand. New copy - Usually dispatched within 5-9 working days 1102. Codice articolo C9780387973883

Dati bibliografici

Titolo: Calculus Two: Linear and Nonlinear Functions

Casa editrice: Springer-Verlag New York Inc.

Data di pubblicazione: 1990

Legatura: Hardback

Condizione: New

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.