Mathematical analysis

Functions of one variable

Mariano Giaquinta, Giuseppe Modica

366 pages, parution le 24/07/2003

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Résumé

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.

It is an interesting and valuable historical account of ideas and methods in analysis with beautiful illustrations.

Key features:

functions of one variable
differential and integral calculus
asymptotic expansion and inequalities
basic ordinary differential equations (including 1-dimensional motions
central motions
Kepler's laws and free and forced vibrations)and a discussion of elementary minimum principles in physics and geometry (such as refraction laws, Steiner's problem, isoperimetric problems, Dijkstra algorithm for minimal connections in graphs)
rigorous exposition with full proofs motivated by numerous examples
exercises
comprehensive bibliography and index.

This work, as well as subsequent texts by the authors embracing a broad range of subjects in analysis, aims primarily at 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 level---or graduate level---depending on the institution.

Numbers, Functions and their Graphs
Limits and Continuity
The Fundamental Ideas of the Differential and Integral Calculus
The Calculus of Derivatives and Integrals
Further Developments in Calculus
Towards Differential Equations and Minimum Principles

Mathematicians and Others Scientists
Bibliographical Notes
Index

L'auteur - Mariano Giaquinta

Scuola Normale Superiore, Pisa, Italy

L'auteur - Giuseppe Modica

The University of Florence, Florence, Italy

Caractéristiques techniques

	PAPIER
Éditeur(s)	Birkhäuser
Auteur(s)	Mariano Giaquinta, Giuseppe Modica
Parution	24/07/2003
Nb. de pages	366
Format	16 x 24
Couverture	Relié
Poids	640g
Intérieur	Noir et Blanc
EAN13	9780817643126
ISBN13	978-0-8176-4312-6