Calculus Two
Linear and Nonlinear Functions
HC runder Rücken kaschiert
Print on Demand | Lieferzeit: Print on Demand - Lieferbar innerhalb von 3-5 Werktagen I
ISBN-13:
9780387973883
Veröffentl:
1990
Einband:
HC runder Rücken kaschiert
Erscheinungsdatum:
24.09.1990
Seiten:
644
Autor:
Francis J. Flanigan
Gewicht:
1121 g
Format:
241x160x40 mm
Serie:
Undergraduate Texts in Mathematics
Sprache:
Englisch
Beschreibung:
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.
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.
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