Calculus - Volume 2

Name: Calculus - Volume 2
Author: Tom Apostol

Multi–Variable Calculus and Linear Algebra with Applications

Gebonden Engels 1975 2e druk 9780471000075

Verwachte levertijd ongeveer 8 werkdagen

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Samenvatting

An introduction to the calculus, with an excellent balance between theory and technique. Integration is treated before differentiation –– this is a departure from most modern texts, but it is historically correct, and it is the best way to establish the true connection between the integral and the derivative. Proofs of all the important theorems are given, generally preceded by geometric or intuitive discussion. This
Second Edition introduces the mean–value theorems and their applications earlier in the text, incorporates a treatment of linear algebra, and contains many new and easier exercises. As in the first edition, an interesting historical introduction precedes each important new concept.

Specificaties

ISBN13:9780471000075

Trefwoorden:wiskunde, algebra

Taal:Engels

Bindwijze:gebonden

Aantal pagina's:704

Uitgever:John Wiley & Sons

Druk:2

Verschijningsdatum:1-1-1975

Hoofdrubriek:Wetenschap en techniek

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Inhoudsopgave

Part I: Linear Analysis
1. Linear Spaces
2. Linear Transformations and Matrices
3. Determinants
4. Eigenvalues and Eigenvectors
5. Eigenvalues of Operators Acting on Euclidean Spaces
6. Linear Differential Equations
7. Systems of Differential Equations

Part II: Nonlinear Analysis
8. Differential Calculus of Scalar and Vector Fields
9. Applications of the Differential Calculus
10. Line Integrals
11. Multiple Integrals
12. Surface Integrals

Part III: Special Topics
13. Set Functions and Elementary Probability
14. Calculus of Probabilities
15. Introduction to Numerical Analysis

Suggested References
Answers to Exercises
Index