Covers 6 aspects of graduate school mathematics: Algebra, Topology, Differential Geometry, Real Analysis, Complex Analysis & Partial Differential Equations. Contains a selection of more than 500 problems & solutions based on the Ph.D. qualifying test papers of a decade of influential universities i
Mathematical Analysis in Questions and Problems
โ Scribed by Butuzov (ed.)
- Publisher
- Mir Publishers
- Year
- 1988
- Tongue
- English
- Leaves
- 274
- Category
- Library
No coin nor oath required. For personal study only.
โฆ Table of Contents
Front Cover
Title Page
Contents
Preface
List of Symbols
1. Real Numbers
2. Limit of a Sequence
3. Limit of a Function. Continuity of a Function
4. Derivatives and Differentials
5. The Indefinite Integral
6. Fundamental Theorems on Continuous and Differentiable Functions
7. Investigating the Behaviour of a Function and Constructing Graphs
8. The Definite Integral
9. Lebesgue Measure and Lebesgue Integral
ANSWERS AND HINTS
Index
Back Cover
๐ SIMILAR VOLUMES
Chapter 1 poses 134 problems concerning real and complex numbers, chapter 2 poses 123 problems concerning sequences, and so it goes, until in chapter 9 one encounters 201 problems concerning functional analysis. The remainder of the book is given over to the presentation of hints, answers or referen