Research Catalog

Title

Analysis by its history / E. Hairer, G. Wanner.

Author

Hairer, E. (Ernst)

Publication

New York : Springer-Verlag, c1996.

Items in the Library & Off-site

Holdings

Details

Additional Authors

Wanner, Gerhard.

Description

x, 374 p. : ill.; 25 cm.

Series Statement

Undergraduate texts in mathematics. Readings in mathematics

Uniform Title

Undergraduate texts in mathematics. Readings in mathematics.

Subject

Mathematical analysis

Bibliography (note)

• Includes bibliographical references (p. [355]-365) and indexes.

Processing Action (note)

• committed to retain

Contents

I. Introduction to analysis of the infinite -- I.1 Cartesian coordinates and polynomial functions -- I.2 Exponentials and the binomial theorem -- I.3 Logarithms and areas -- I.4 Trigonometric functions -- I.5 Complex numbers and functions -- I.6 Continued fractions -- II. Differential and integral calculus -- II. 1 The derivative -- II. 2 Higher derivatives and Taylor series -- II. 3 Envelopes and curvature -- II. 4 Integral calculus -- II. 5 Functions with elementary integral -- II. 6 Approximate computation of integrals -- II. 7 Ordinary differential equations -- II. 8 Linear differential equations -- II. 9 Numerical solution of differential equations -- II. 10 The Euler-Maclaurin summation formula -- III. Foundations of classical analysis -- III. 1 Infinite sequences and real numbers -- III. 2 Infinite series -- III. 3 Real functions and continuity -- III. 4 Uniform convergence and uniform continuity -- III. 5 The Riemann integral -- III. 6 Differentiable functions -- III. 7 Power series and Taylor series -- III. 8 Improper integrals -- III. 9 Two theorems on continuous functions -- IV. Calculus in several variables -- IV. 1 Topology of n-dimensional space -- IV. 2 Continuous functions -- IV. 3 Differentiable functions of several variables -- IV. 4 Higher derivatives and Taylor series -- IV. 5 Multiple integrals.

ISBN

0387945512 (hardcover : acid-free paper)

LCCN

^^^95004589^

Owning Institutions

Harvard Library