Multivariable Mathematics
(Sprache: Englisch)
Multivariable Mathematics combines linear algebra and multivariable mathematics in a rigorous approach. The material is integrated to emphasize the recurring theme of implicit versus explicit that persists in linear algebra and analysis. In the text, the...
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Klappentext zu „Multivariable Mathematics “
Multivariable Mathematics combines linear algebra and multivariable mathematics in a rigorous approach. The material is integrated to emphasize the recurring theme of implicit versus explicit that persists in linear algebra and analysis. In the text, the author includes all of the standard computational material found in the usual linear algebra and multivariable calculus courses, and more, interweaving the material as effectively as possible, and also includes complete proofs.* Contains plenty of examples, clear proofs, and significant motivation for the crucial concepts.
* Numerous exercises of varying levels of difficulty, both computational and more proof-oriented.
* Exercises are arranged in order of increasing difficulty.
Inhaltsverzeichnis zu „Multivariable Mathematics “
Chapter 1. Vectors and MatricesChapter 2. Functions, Limits, and Continuity
Chapter 3. The Derivative
Chapter 4. Implicit and Explicit Solutions of Linear Systems
Chapter 5. Extremum Problems
Chapter 6. Solving Nonlinear Problems
Chapter 7. Integration
Chapter 8. Differential Forms and Integration on Manifolds
Chapter 9. Eigenvalues, Eigenvectors, and Applications
Glossary of Notations and Results from Single-Variable Calculus
For Further Reading
Answers to Selected Exercises
Index
Bibliographische Angaben
- Autor: Theodore Shifrin
- 2004, 1. Auflage, 504 Seiten, Maße: 24,5 cm, Gebunden, Englisch
- Verlag: Wiley & Sons
- ISBN-10: 0471631604
- ISBN-13: 9780471631606
Sprache:
Englisch
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