Mathematical analysis I / Vladimir A. Zorich.
Material type:
TextSeries: UniversitextPublication details: New York : Springer, 2016.Edition: 2nd edDescription: xx, 616 pages : illustrations ; 25 cmISBN: - 9783662487907
- 515 23 Z88
| Item type | Current library | Call number | Status | Date due | Barcode | Item holds | |
|---|---|---|---|---|---|---|---|
| Books | ISI Library, Kolkata | 515 Z88 (Browse shelf(Opens below)) | Available | 137691 |
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| No cover image available | No cover image available | |||||||
| 515 Y43 Lectures on real analysis | 515 Y73 Elementary mathematical analysis | 515 Z37 Introduction to analysis | 515 Z88 Mathematical analysis I / | 515 Z88 Mathematical analysis II / | 515 Z89 Mathematical analysis I | 515 Z89 Mathematical analysis II |
Includes bibliographical references and indexes
1 Some General Mathematical Concepts and Notation --
2 The Real Numbers --
3 Limits --
4 Continuous Functions --
5 Differential Calculus --
6 Integration --
7 Functions of Several Variables: Their Limits and Continuity --
8 The Differential Calculus of Functions of Several Variables --
Some Problems from the Midterm Examinations --
Examination Topics --
Appendices --
References --
Subject Index --
Name Index.
This second edition of a very popular two-volume work presents a thorough first course in analysis, leading from real numbers to such advanced topics as differential forms on manifolds; asymptotic methods; Fourier, Laplace, and Legendre transforms; elliptic functions; and distributions. Especially notable in this course are the clearly expressed orientation toward the natural sciences and the informal exploration of the essence and the roots of the basic concepts and theorems of calculus. Clarity of exposition is matched by a wealth of instructive exercises, problems, and fresh applications to areas seldom touched on in textbooks on real analysis.
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