Articoli correlati a Vector Calculus
Traditionally, linear algebra, vector analysis, and the calculus of functions of several variables are taught as separate subjects. This text explores their close relationship and establishes the underlying links. A rigorous and comprehensive introductory treatment, it features clear, readable proofs that illustrate the classical theorems of vector calculus, including the inverse and implicit function theorems. Prerequisites include a knowledge of elementary linear algebra and one-variable calculus.
Starting with basic linear algebra and concluding with the integration theorems of Green, Stokes, and Gauss, the text pays particular attention to the relationships between different parametrizations of curves and surfaces, and it surveys their application in line and surface integrals. Concepts are amply illustrated with figures, worked examples, and physical applications. Numerous exercises, with hints and answers, range from routine calculations to theoretical problems.
Starting with basic linear algebra and concluding with the integration theorems of Green, Stokes, and Gauss, the text pays particular attention to the relationships between different parametrizations of curves and surfaces, and it surveys their application in line and surface integrals. Concepts are amply illustrated with figures, worked examples, and physical applications. Numerous exercises, with hints and answers, range from routine calculations to theoretical problems.
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Contenuti:
1. Basic linear algebra and analysis 2. Vector-valued functions of R 3. Real-valued functions of R(superscript m) 4. Vector-valued functions of R(superscript m) 5. Path integrals in R(superscript n) 6. Line integrals in R(superscript n) 7. Double integrals in R(superscript 2) 8. Surfaces in R(superscript 3) 9. Integration over surfaces 10. Triple integrals in R(superscript 3) 11. Differential forms Bibliography Index
Product Description:
This introduction to the differential and integral calculus of functions of several variables offers a rigorous and comprehensive treatment. The classical theorems of vector calculus are amply illustrated with figures, worked examples, and physical applications. Numerous exercises, with hints and answers, range from routine calculations to theoretical problems.1986 edition.
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- EditoreDover Pubns
- Data di pubblicazione2008
- ISBN 10 0486466205
- ISBN 13 9780486466200
- RilegaturaCopertina flessibile
- Numero di pagine550
- Valutazione libreria
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Vector Calculus
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Descrizione libro Paperback. Condizione: new. Paperback. Traditionally, linear algebra, vector analysis, and the calculus of functions of several variables are taught as separate subjects. This text explores their close relationship and establishes the underlying links. A rigorous and comprehensive introductory treatment, it features clear, readable proofs that illustrate the classical theorems of vector calculus, including the inverse and implicit function theorems. Prerequisites include a knowledge of elementary linear algebra and one-variable calculus.Starting with basic linear algebra and concluding with the integration theorems of Green, Stokes, and Gauss, the text pays particular attention to the relationships between different parametrizations of curves and surfaces, and it surveys their application in line and surface integrals. Concepts are amply illustrated with figures, worked examples, and physical applications. Numerous exercises, with hints and answers, range from routine calculations to theoretical problems. This introductory text offers a rigorous, comprehensive treatment. Classical theorems of vector calculus are amply illustrated with figures, worked examples, physical applications, and exercises with hints and answers. 1986 edition. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Codice articolo 9780486466200
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