Multivariable Calculus

L. Corwin, Robert H. Szczarba

$252

Hardback

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English

CRC Press Inc
29 January 1982

Calculus of variations

Series: Chapman & Hall/CRC Pure and Applied Mathematics

Classroom-tested and lucidly written, Multivariable Calculus gives a thorough and rigoroustreatment of differential and integral calculus of functions of several variables. Designed as ajunior-level textbook for an advanced calculus course, this book covers a variety of notions,including continuity , differentiation, multiple integrals, line and surface integrals, differentialforms, and infinite series. Numerous exercises and examples throughout the book facilitatethe student's understanding of important concepts.

The level of rigor in this textbook is high; virtually every result is accompanied by a proof. Toaccommodate teachers' individual needs, the material is organized so that proofs can be deemphasizedor even omitted. Linear algebra for n-dimensional Euclidean space is developedwhen required for the calculus; for example, linear transformations are discussed for the treatmentof derivatives.

Featuring a detailed discussion of differential forms and Stokes' theorem, Multivariable Calculusis an excellent textbook for junior-level advanced calculus courses and it is also usefulfor sophomores who have a strong background in single-variable calculus. A two-year calculussequence or a one-year honor calculus course is required for the most successful use of thistextbook. Students will benefit enormously from this book's systematic approach to mathematicalanalysis, which will ultimately prepare them for more advanced topics in the field.

By: L. Corwin, Robert H. Szczarba
Imprint: CRC Press Inc
Country of Publication: United States
Volume: 64
Dimensions: Height: 229mm, Width: 152mm, Spine: 31mm
Weight: 1.170kg
ISBN: 9780824769628
ISBN 10: 0824769627
Series: Chapman & Hall/CRC Pure and Applied Mathematics
Pages: 546
Publication Date: 29 January 1982
Audience: Professional and scholarly , Undergraduate
Format: Hardback
Publisher's Status: Active

1. Some Preliminaries 2. Euclidean Spaces and Linear Transformations 3. Continuous Functions 4. The Derivative 5. The Geometry of Euclidean Spaces 6. Higher Order Derivatives and Taylor's Theorem 7. Compact and Connected Sets 8. Maxima and Minima 9. The Inverse and Implicit Function Theorems 10. Integration 11. Iterated Integrals and the Fubini Theorem 12. Line Integrals 13. Surface Integrals 14. Differential Forms 15. Integration of Differential Forms 16. Infinite Series 17. Infinite Series of Functions

Corwin\, L.

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Multivariable Calculus

L. Corwin, Robert H. Szczarba

$252

Hardback

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