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Differential and Integral Calculus, Volume II

Richard Courant
Publisher: 
John Wiley
Publication Date: 
1988
Number of Pages: 
694
Format: 
Paperback
Price: 
130.00
ISBN: 
0-471-60840-8
Category: 
Textbook
BLL Rating: 

The Basic Library List Committee strongly recommends this book for acquisition by undergraduate mathematics libraries.

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Preliminary Remarks on Analytical Geometry and Vector Analysis: Rectangular Coordinates and Vectors, Affine Transformations and the Multiplication of Determinants.

Functions of Several Variables and Their Derivatives: Continuity, The Total Differential of a Function and Its Geometrical Meaning.

Developments and Applications of the Differential Calculus: Implicit Functions, Maxima and Minima.

Multiple Integrals: Transformation of Multiple Integrals, Improper Integrals.

Integration over Regions in Several Dimensions: Surface Integrals, Stokes's Theorem in Space.

Differential Equations: Examples on the Mechanics of a Particle, Linear Differential Equations.

Calculus of Variations: Euler's Differential Equation in the Simplest Case, Generalizations.

Functions of a Complex Variable: The Integration of Analytic Functions, Cauchy's Formula and Its Applications.

Appendixes.

Index.