Intermediate calculus : methods of integration / Tunc Geveci.

Format:

Book

Author/Creator:

Geveci, Tunc., author.

Language:

English

Subjects (All):

Calculus.

Fractional calculus.

Genre:

Libros electronicos.

Physical Description:

1 online resource (iv, 224 pages) : illustrations.

Edition:

1st ed.

Place of Publication:

New York, [New York] (222 East 46th Street, New York, NY 10017) : Momentum Press, 2016.

Summary:

With a "less is more" approach to building upon the basic foundations of calculus, this sequence of 5 books introduces the reader to the topics commonly found in a 2nd semester/2nd year level of college-level calculus. They cover in greater detail the methods of integration and the uses of both the integral and differential equations in common problems encountered in most STEM curricula.

Contents:

1. Understanding the integration of parts

Integration by parts for indefinite integrals

Integration by parts for definite integrals

2. Indefinite integrals and rational functions

Special cases

Arbitrary rational functions

3. Using integrals for trigonometric and hyperbolic functions

Products of sin(x) and cos(x) or sinh(x) and cosh(x)

Special integrals that involve sin (mx) and cos (nx)

Rational functions of sin(x) and cos(x) or sinh(x) and cosh(x)

4. Integrations using trigonometric and hyberbolic substitutions

The substitution x = a sin (u)

The substitution x = a sinh (u)

The substitution x = a cosh (u)

5. Approximations in numerical integration

Riemann sums

The trapezoid rule

Simpson's rule

The derivation of Simpson's rule

6. Improper integrals: unbounded intervals and discontinuities

Improper integrals on unbounded intervals

Improper integrals that involve discontinuous functions

7. Improper integrals: using convergence tests

Index.

Notes:

Co-published with Cognella Academic Publishing.

Includes index.

Title from PDF title page (viewed on December 9, 2015).

ISBN:

1-60650-865-2

OCLC:

939718452