# Download Elements of Real Analysis (Dover Books on Mathematics) fb2

**David A. Sprecher**

- Author:David A. Sprecher
- ISBN:0486653854
- ISBN13:978-0486653853
- Genre:
- Publisher:Dover Publications; 1st Edition edition (July 21, 2010)
- Pages:368 pages
- Subcategory:Mathematics
- Language:
- FB2 format1577 kb
- ePUB format1952 kb
- DJVU format1570 kb
- Rating:4.7
- Votes:230
- Formats:rtf lit lrf mobi

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Elements of the Theory of Functions and Functional Analysis by A. N.Series: Dover Books on Mathematics. Paperback: 416 pages.

Series: Dover Books on Mathematics.

Counterexamples in Topology;Dover Books on Mathematics by Lynn Arthur Steen . Ok this is among the best books in real analysis you can find around

Only 15 left in stock (more on the way). Elements of the Theory of Functions and Functional Analysis. Ok this is among the best books in real analysis you can find around. Kolmogorov Paperback .

Only 17 left in stock (more on the way).

Elements of Real Analysis. This classic text in introductory analysis delineates and explores the intermediate steps between the basics of calculus and the ultimate stage of mathematics: abstraction and generalization. Since many abstractions and generalizations originate with the real line, the author has made it the unifying theme of the text, constructing the real number system from the point of view of a Cauchy sequence (a step.

Introductory Real Analysis and Elements of the Theory of Functions and Functional Analysis. Real Analysis (Dover Books on Mathematics)

Introductory Real Analysis and Elements of the Theory of Functions and Functional Analysis. by Kolmogorov & Fomin. These were your immediate solutions. Real Analysis (Dover Books on Mathematics). Concise in treatment and comprehensive in scope, this text for graduate students in mathematics introduces contemporary real analysis with a particular emphasis on integration theory.

by David A. Sprecher. series Dover Books on Mathematics.

Download books for free. Elements of real analysis. The essence of mathematics, however, is its capacity for abstractions and generalizations

Download books for free. ШКИВ ОТ OEM tOMVSiS DAVID A. SPRECHER University of California, Santa Barbara ACADEMIC PRESS New York and London. The essence of mathematics, however, is its capacity for abstractions and generalizations. Therefore, the goal of advanced training in mathematics is what Herman Weyl has called the decisive step of mathematical ab¬ straction: forgetting what the symbols stand for.

It's not a book on proof methodology, for sure. The answer in the back of the book is plain wrong. I graduated with a degree in computer science, but I haven't done a proof for a while and never took a class beyond linear algebra, and I wanted to teach myself analysis. While I don't find the material too difficult to follow, I really don't find it all that great for self-study. And the book proves something as fundamental as the uniqueness of 1; and yet it invokes the binomial theorem out of the blue? Anyway, the price is right, but beware that it might make a better reference or a collection of examples than a primary self-study guide.

This classic text in introductory analysis delineates and explores the intermediate steps between the basics of calculus and the ultimate stage of mathematics: abstraction and generalization.Since many abstractions and generalizations originate with the real line, the author has made it the unifying theme of the text, constructing the real number system from the point of view of a Cauchy sequence (a step which Dr. Sprecher feels is essential to learn what the real number system is).The material covered in *Elements of Real Analysis *should be accessible to those who have completed a course in calculus. To help give students a sound footing, Part One of the text reviews the fundamental concepts of sets and functions and the rational numbers. Part Two explores the real line in terms of the real number system, sequences and series of number and the structure of point sets. Part Three examines the functions of a real variable in terms of continuity, differentiability, spaces of continuous functions, measure and integration, and the Fourier series.An especially valuable feature of the book is the exercises which follow each section. There are over five hundred, ranging from the simple to the highly difficult, each focusing on a concept previously introduced.