# Differential and Integral Calculus, Volume I

Publisher:
John Wiley
Number of Pages:
640
Price:
130.00
ISBN:
0471608424
Tuesday, April 18, 2006
Reviewable:
Yes
Include In BLL Rating:
Yes
Richard Courant
Publication Date:
1988
Format:
Paperback
Audience:
Category:
Textbook
BLL Committee
01/16/2009
BLL Rating:

The Continuum of Numbers, The Concept of Function, The Concept of the Limit of a Sequence, The Concept of Continuity.

The Fundamental Ideas of the Integral and Differential Calculus: The Definite Integral, The Derivative, The Estimation of Integrals and the Mean Value Theorem of the Integral Calculus.

Differentiation and Integration of the Elementary Functions: Maxima and Minima, The Logarithm and the Exponential Function, The Hyperbolic Functions.

Further Development of the Integral Calculus: The Method of Substitution, Integration by Parts, Integration of Rational Functions, Improper Integrals.

Applications.

Taylor's Theorem and the Approximate Expression of Functions by Polynomials.

Numerical Methods.

Infinite Series and Other Limiting Processes.

Fourier Series.

A Sketch of the Theory of Functions of Several Variables.

The Differential Equations for the Simplest Types of Vibration.