Mathematical Analysis vol. 1

Vladimir A. Zorich - Collection Universitext

580 pages, parution le 01/12/2003

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Résumé

Mathematical Analysis vol. 1

This two-volume work by V.A. Zorich on Mathematical Analysis constitutes a thorough first course in real analysis, leading from the most elementary facts about real numbers to such advanced topics as differential forms on manifolds, asymptotic methods, Fourier, Laplace, and Legendre transforms, and elliptic functions. With masterful exposition, the author provides a smooth, gradual transition from each topic to the next, so that the slope never feels too steep for the reader. Making use of Cartan's concept of a filter base, the author disperses the fog of epsilons and deltas that have always made the crucial subject of limits a barrier for the nonmathematical specialist. As a result, the major theorems of differentiation and integration reveal their essential unity in a nearly painless manner. The clarity of the exposition is matched by a wealth of instructive exercises and fresh applications to areas seldom touched on in real analysis books, many of which are taken from physics and technology.

Written for:
Undergraduate students (beginners) in mathematics and physics

Some General Mathematical Concepts and Notation
The Real Numbers
Limits
Continuous Functions
Differential Calculus
Integration
Functions of Several Variables
Differential Calculus in Several Variables
Some Problems from the Midterm Examinations
Examination Topics
References
Subject Index
Name Index

Caractéristiques techniques

	PAPIER
Éditeur(s)	Springer
Auteur(s)	Vladimir A. Zorich
Collection	Universitext
Parution	01/12/2003
Nb. de pages	580
Format	16 x 24
Couverture	Relié
Poids	1000g
Intérieur	Noir et Blanc
EAN13	9783540403869