Introduction to Real Analysis

ISBN-10: 0321046250
ISBN-13: 9780321046253
Edition: 2nd 2001 (Revised)
Authors: Manfred Stoll
List price: $117.80 Buy it from $30.78
This item qualifies for FREE shipping

*A minimum purchase of $35 is required. Shipping is provided via FedEx SmartPost® and FedEx Express Saver®. Average delivery time is 1 – 5 business days, but is not guaranteed in that timeframe. Also allow 1 - 2 days for processing. Free shipping is eligible only in the continental United States and excludes Hawaii, Alaska and Puerto Rico. FedEx service marks used by permission."Marketplace" orders are not eligible for free or discounted shipping.

30 day, 100% satisfaction guarantee

If an item you ordered from TextbookRush does not meet your expectations due to an error on our part, simply fill out a return request and then return it by mail within 30 days of ordering it for a full refund of item cost.

Learn more about our returns policy

Description: This textbook is designed for a one-year course in real analysis at the junior or senior level. An understanding of real analysis is necessary for the study of advanced topics in mathematics and the physical sciences, and is helpful to advanced  More...

Used Starting from $71.74
what's this?
Rush Rewards U
Members Receive:
coins
coins
You have reached 400 XP and carrot coins. That is the daily max!

Study Briefs

Limited time offer: Get the first one free! (?)

All the information you need in one place! Each Study Brief is a summary of one specific subject; facts, figures, and explanations to help you learn faster.

Add to cart
Study Briefs
Calculus 1 Online content $4.95 $1.99
Add to cart
Study Briefs
Business Ethics Online content $4.95 $1.99
Add to cart
Study Briefs
Business Law Online content $4.95 $1.99

Customers also bought

Loading
Loading
Loading
Loading
Loading
Loading
Loading
Loading
Loading
Loading

Book details

List price: $117.80
Edition: 2nd
Copyright year: 2001
Publisher: Addison Wesley
Publication date: 11/15/2000
Binding: Paperback
Pages: 512
Size: 7.75" wide x 9.25" long x 1.00" tall
Weight: 2.530
Language: English

This textbook is designed for a one-year course in real analysis at the junior or senior level. An understanding of real analysis is necessary for the study of advanced topics in mathematics and the physical sciences, and is helpful to advanced students of engineering, economics, and the social sciences. Stoll, who teaches at the U. of South Carolina, presents examples and counterexamples to illustrate topics such as the structure of point sets, limits and continuity, differentiation, and orthogonal functions and Fourier series. The second edition includes a self-contained proof of Lebesgue's theorem and a new appendix on logic and proofs. Annotation copyrighted by Book News Inc., Portland, OR

Preface
To the Student
The Real Number System
Sets and Operations on Sets
Functions
Mathematical Induction
The Least Upper Bound Property
Consequences of the Least upper Bound Property
Binary and Ternary Expansions
Countable and Uncountable Sets
Notes
Miscellaneous Exercises
Supplemental Reading
Sequences of Real Numbers
Convergent Sequences
Limit Theorems
Monotone Sequences
Subsequences and the Bolzano-Weierstrass Theorem
Limit Superior and Inferior of a Sequence
Cauchy Sequences
Series of Real Numbers
Notes
Miscellaneous Exercises
Supplemental Reading
Structure of Point Sets
Open and Closed Sets
Compact Sets
The Cantor Set
Notes
Miscellaneous Exercises
Supplemental Reading
Limits and Continuity
Limit of a Function
Continuous Functions
Uniform Continuity
Monotone Functions and Discontinuities
Notes
Miscellaneous Exercises
Supplemental Reading
Differentiation
The Derivative
The Mean Value Theorem
L'Hospital's Rule
Newton's Method
Notes
Miscellaneous Exercises
Supplemental Reading
The Riemann and Riemann-Stieltjes Integral
The Riemann Integral
Properties of the Riemann Integral
Fundamental Theorem of Calculus
Improper Riemann Integrals
The Riemann-Stieltjes Integral
Numerical Methods
Proof of Lebesgue's Theorem
Notes
Miscellaneous Exercises
Supplemental Reading
Series of Real Numbers
Convergence Tests
The Dirichlet Test
Absolute and Conditional Convergence
Square Summable Sequences
Notes
Miscellaneous Exercises
Supplemental Reading
Sequences and Series of Functions
Pointwise Convergence and Interchange of Limits
Uniform Convergence
Uniform Convergence and Continuity
Uniform Convergence and Integration
Uniform Convergence and Differentiation
The Weierstrass Approximation Theorem
Power Series Expansions
The Gamma Function
Notes
Miscellaneous Exercises
Supplemental Reading
Orthogonal Functions and Fourier Series
Orthogonal Functions
Completeness and Parseval's Equality
Trigonometric and Fourier Series
Convergence in the Mean of Fourier Series
Pointwise Convergence of Fourier Series
Notes
Miscellaneous Exercises
Supplemental Reading
Lebesgue Measure and Integration
Introduction to Measure
Measure of Open Sets; Compact Sets
Inner and Outer Measure; Measurable Sets
Properties of Measurable Sets
Measurable Functions
The Lebesgue Integral of a Bounded Function
The General Lebesgue Integral
Square Integrable Functions
Notes
Miscellaneous Exercises
Supplemental Reading
Logic and Proofs
Propositions and Connectives
Rules of Inference
Mathematical Proofs
Use of Quantifiers
Supplemental Reading
Bibliography
Hints and Solutions to Selected Exercises
Notation Index
Index

×
Free shipping on orders over $35*

*A minimum purchase of $35 is required. Shipping is provided via FedEx SmartPost® and FedEx Express Saver®. Average delivery time is 1 – 5 business days, but is not guaranteed in that timeframe. Also allow 1 - 2 days for processing. Free shipping is eligible only in the continental United States and excludes Hawaii, Alaska and Puerto Rico. FedEx service marks used by permission."Marketplace" orders are not eligible for free or discounted shipping.

Learn more about the TextbookRush Marketplace.

×