Mathematics

Real Analysis, 2/e is a carefully worded narrative that presents the ideas of elementary real analysis while keeping the perspective of a student in mind. The order and flow of topics has been preserved, but the sections have been reorganized somewhat so that related ideas are grouped together better. A few additional topics have been added; most notably, functions of bounded variation, convex function, numerical methods of integration, and metric spaces. The biggest change is the number of exercises; there are now more than 1600 exercises in the text.

• Introductory material, such as the study of sets, functions, relations, and mathematical induction has been kept to a minimum and is presented in context for students to acquire a working knowledge. The three appendices go into more depth with introductory material, without bogging down the course.

• Focus of the text is on the basic notation of real analysis. Peripheral material has been kept to a minimum to avoid overwhelming students with too much information.

• Topological concepts, omitted from the main body of the text, are presented in a separate chapter at the end of the text for the benefit of students going on in mathematics. Although topological concepts are necessary in Rn, Gordon motivates the introduction of topology in R using questions and problems.

• The Riemann approach to the integral is carried out in detail. This approach is used exclusively, as it provides a consistent definition of the integral and is in keeping with the integral as it is usually defined in calculus.

• Gordon carefully words and presents proofs, so they are clear and understandable to the students. Parts of some proofs are left as exercises, so that students must participate in the development of the material.

1. Real Numbers.

2. Sequences.

3. Limits and Continuity.

4. Differentiation.

5. Integration.

6. Infinite Series.

7. Sequences and Series of Functions.

8. Point-Set Topology.

Appendix A. Mathematical Logic.

Appendix B. Sets and Functions.

Appendix C. Mathematical Induction.

Bibliography.


Index.

Real Analysis  (Mathematics)

Addison-Wesley's Algebra Review
Addison-Wesley
©2004 | Addison-Wesley | Paper | Out of Stock
ISBN-10: 0321247086 | ISBN-13: 9780321247087

Addison-Wesley's Basic Math Review
Addison-Wesley
©2004 | Addison-Wesley | Paper | Instock
ISBN-10: 0321247078 | ISBN-13: 9780321247070

Algebra Review Study Card, 2/E
D'Ippolito & Generazzo
©2006 | Addison-Wesley | Study Card; 6 pp | Instock
ISBN-10: 0321394739 | ISBN-13: 9780321394736
Buy from myPearsonStore

Allied Health Study Card, 2/E
Forshier
©2006 | Addison-Wesley | Study Card | Instock
ISBN-10: 0321394747 | ISBN-13: 9780321394743
Buy from myPearsonStore

Basic Math Review Card, 2/E
Addison-Wesley
©2006 | Addison-Wesley | Study Card; 6 pp | Instock
ISBN-10: 0321394763 | ISBN-13: 9780321394767
Buy from myPearsonStore

Concept Videos: Algebra
Addison-Wesley
©2008 | Addison-Wesley | Multiple Media Package | Instock
ISBN-10: 0321517199 | ISBN-13: 9780321517197

Concept Videos: Basic Math & Prealgebra
Addison-Wesley
©2008 | Addison-Wesley | Multiple Media Package | Instock
ISBN-10: 032151758X | ISBN-13: 9780321517586

Discovering Algebra: Examples with Keystrokes on the TI-83/TI-82 and TI-85/TI-86, A Laboratory Approach
Pirich & Bigliani
©1997 | Addison-Wesley | Paper; 195 pp | Instock
ISBN-10: 0136492037 | ISBN-13: 9780136492030
Buy from myPearsonStore

Finite Mathematics Study Card
Addison-Wesley
©2006 | Addison-Wesley | Study Card | Instock
ISBN-10: 0321374398 | ISBN-13: 9780321374394
Buy from myPearsonStore

Flash Review Series: Algebra
Becker
©2004 | Addison-Wesley | Paper | Instock
ISBN-10: 0321143094 | ISBN-13: 9780321143099
Buy from myPearsonStore

Graphing Calculator Reference Card, 3/E
Ripley
©2006 | Addison-Wesley | Study Card; 6 pp | Instock
ISBN-10: 0321394755 | ISBN-13: 9780321394750
Buy from myPearsonStore

Graphing Calculator Tutorial CD
Addison-Wesley
©2006 | Addison-Wesley | CD-ROM Only | Instock
ISBN-10: 0321357744 | ISBN-13: 9780321357748
Buy from myPearsonStore

Interwrite Personal Response System
EduCue, Addison-Wesley & Benjamin Cummings
©2004 | Addison-Wesley | Electronic Supplement | Instock
ISBN-10: 0321267354 | ISBN-13: 9780321267351

Math for Allied Health Study/Reference Card
Forshier
©2006 | Addison-Wesley | Study Card; 0 pp | Out of Stock
ISBN-10: 0321336542 | ISBN-13: 9780321336545

Mathematics Spanish Glossary, 2/E
Lara & Peeples
©2000 | Addison-Wesley | Paper; 48 pp | Instock
ISBN-10: 0201728966 | ISBN-13: 9780201728965
Buy from myPearsonStore

Overcoming Math Anxiety, 2/E
Davidson & Levitov
©2000 | Addison-Wesley | Paper | Instock
ISBN-10: 0321069188 | ISBN-13: 9780321069184
Buy from myPearsonStore

Pearson TI Rebate Coupon $15, 2/E
Pearson
©2009 | Addison-Wesley | Paper | Instock
ISBN-10: 0321566041 | ISBN-13: 9780321566041

Prealgebra Review Workbook
Wheel
©2006 | Addison-Wesley | Paper; 300 pp | Instock
ISBN-10: 0321473329 | ISBN-13: 9780321473325
Buy from myPearsonStore

Review of Algebra, A
Howard
©2002 | Addison-Wesley | Paper; 224 pp | Instock
ISBN-10: 0201773473 | ISBN-13: 9780201773477
Buy from myPearsonStore

Saleable Technology Bundle, 2/E
Pearson
©2009 | Addison-Wesley | Multiple Media Package | Estimated Availability : 09/01/2008
ISBN-10: 0321561880 | ISBN-13: 9780321561886

Spanish Basic Math Study Card
Leonarte
©2007 | Addison-Wesley | Study Card | Instock
ISBN-10: 0321438582 | ISBN-13: 9780321438584
Buy from myPearsonStore

Stand-alone Access Code Tutor Center
Addison-Wesley
©2008 | Addison-Wesley | Access Code Card | Instock
ISBN-10: 0201721708 | ISBN-13: 9780201721706
URL:  http://www.aw-bc.com/tutorcenter
Buy from myPearsonStore

Pearson Higher Education offers special pricing when you choose to package your text with other student resources. If you're interested in creating a cost-saving package for your students, browse our available packages below, or contact your Pearson Higher Education representative to create your own package.

Package ISBN-10: 032123393X | ISBN-13: 9780321233936
©2002 | Instock (Additional assembly time required) | Suggested retail price: $73.33 | Buy from myPearsonStore
This package contains: