Name: mathematical analysis
Price: 1880.00 TWD
Availability: InStock
Author: giaquinta,modica
ISBN: 9780817643126

Type

Physical Book

Publisher

Springer

Author

giaquinta,modica

Language

English

Pages

353

ISBN

0817643125

ISBN13

9780817643126

Synopsis "mathematical analysis"

this self-contained work in mathematical analysis introduces the main ideas and fundamental methods of the subject, focusing on a simple and direct exposition of differential and integral calculus for functions of one variable with some of its applications. key features: * interesting and valuable historical account of ideas and methods in analysis with beautiful illustrations * topics: functions of one variable, differential and integral calculus, asymptotic expansion and inequalities, basic ordinary differential equations (including 1-dimensional motions, central motions, keplers laws and free and forced vibrations), and a discussion of elementary minimum principles in physics and geometry (such as refraction laws, steiners problem, isoperimetric problems, dijkstras algorithm for minimal connections in graphs); the preliminaries treat the real numbers, trigonometric functions and some elementary cartesian geometry * rigorous exposition with full proofs motivated by numerous examples * exercises, comprehensive bibliography and index this work is a first step toward developing connections between analysis and other mathematical disciplines (e.g., topology and geometry) as well as physics and engineering. an excellent resource for self-study or for classroom use at the advanced undergraduate or graduate level.