Introduction to Analysis
2nd Edition
Published on 23. September 1999
Book
Hardback
611 pages
978-0-13-014409-6 (ISBN)
Description
For one/two-semester, junior/senior-level courses in Advanced Calculus, Analysis I, Real Analysis taken by math majors. The first semester is usually a general requirement; the second semester is often an option for the more motivated students.
Designed to challenge advanced students while bringing weaker students up to speed, this text is an advantageous alternative to most other analysis texts which either tend to be "too easy" (designed for an Intermediate Analysis course) or "too difficult" (designed for students headed for a Ph.D. in Pure Mathematics)-both of which usually tend to slight multidimensional material. Hailed for its readability, practicality, and flexibility, this text presents the Fundamental Theorems from a very practical point of view. Introduction to Analysis starts slowly and carefully, with a focused presentation of the material; saves extreme abstraction for the second semester; provides optional enrichment sections; includes many routine exercises and examples; and liberally supports (with examples and hints) what little theory is developed in the exercises.
Designed to challenge advanced students while bringing weaker students up to speed, this text is an advantageous alternative to most other analysis texts which either tend to be "too easy" (designed for an Intermediate Analysis course) or "too difficult" (designed for students headed for a Ph.D. in Pure Mathematics)-both of which usually tend to slight multidimensional material. Hailed for its readability, practicality, and flexibility, this text presents the Fundamental Theorems from a very practical point of view. Introduction to Analysis starts slowly and carefully, with a focused presentation of the material; saves extreme abstraction for the second semester; provides optional enrichment sections; includes many routine exercises and examples; and liberally supports (with examples and hints) what little theory is developed in the exercises.
More details
Edition
2nd edition
Language
English
Place of publication
United States
Publishing group
Pearson Education (US)
Target group
Professional and scholarly
Dimensions
Height: 242 mm
Width: 184 mm
Thickness: 29 mm
Weight
1062 gr
ISBN-13
978-0-13-014409-6 (9780130144096)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
New editions
Book
01/2004
3rd Edition
Pearson
€95.31
Article exhausted; check for reprint
Previous edition
William Wade
Introduction to Analysis, An
Book
07/1995
Pearson
€43.32
Article exhausted; check for reprint
Content
I. ONE-DIMENSIONAL THEORY.
1. The Real Number System.
2. Sequences in R.
3. Continuity on R.
4. Differentiability on R.
5. Integrability on R.
6. Infinite Series of Real Numbers.
7. Infinite Series of Functions.
II. MULTIDIMENSIONAL THEORY.
8. Euclidean Spaces.
9. Topology of Euclidean Spaces.
10. Metric Spaces.
11. Differentiability on Rn.
12. Integration on Rn.
13. Fundamental Theorems of Vector Calculus.
14. Fourier Series.
15. Differentiable Manifolds.
Appendices.
References.
Answers and Hints to Exercises.
Subject Index.
Notation Index.
1. The Real Number System.
2. Sequences in R.
3. Continuity on R.
4. Differentiability on R.
5. Integrability on R.
6. Infinite Series of Real Numbers.
7. Infinite Series of Functions.
II. MULTIDIMENSIONAL THEORY.
8. Euclidean Spaces.
9. Topology of Euclidean Spaces.
10. Metric Spaces.
11. Differentiability on Rn.
12. Integration on Rn.
13. Fundamental Theorems of Vector Calculus.
14. Fourier Series.
15. Differentiable Manifolds.
Appendices.
References.
Answers and Hints to Exercises.
Subject Index.
Notation Index.