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Introduction to Analysis William R. Wade

Introduction to Analysis By William R. Wade

Introduction to Analysis by William R. Wade


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Summary

Provides a bridge from sophomore calculus to graduate courses which use analytic ideas such as real and complex analysis, partial and ordinary differential equations, numerical analysis, fluid mechanics, and differential geometry. Early chapters introduce central ideas of analysis in a one-dimensio

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Introduction to Analysis Summary

Introduction to Analysis by William R. Wade

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.

Table of Contents

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.

Additional information

CIN0130144096G
9780130144096
0130144096
Introduction to Analysis by William R. Wade
Used - Good
Hardback
Pearson Education (US)
1999-07-06
611
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
This is a used book - there is no escaping the fact it has been read by someone else and it will show signs of wear and previous use. Overall we expect it to be in good condition, but if you are not entirely satisfied please get in touch with us

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