Real Analysis: A Historical Approach

4.5 avg rating
( 6 ratings by Goodreads )
 
9780470878903: Real Analysis: A Historical Approach

A provocative look at the tools and history of real analysis

This new edition of Real Analysis: A Historical Approach continues to serve as an interesting read for students of analysis. Combining historical coverage with a superb introductory treatment, this book helps readers easily make the transition from concrete to abstract ideas.

The book begins with an exciting sampling of classic and famous problems first posed by some of the greatest mathematicians of all time. Archimedes, Fermat, Newton, and Euler are each summoned in turn, illuminating the utility of infinite, power, and trigonometric series in both pure and applied mathematics. Next, Dr. Stahl develops the basic tools of advanced calculus, which introduce the various aspects of the completeness of the real number system as well as sequential continuity and differentiability and lead to the Intermediate and Mean Value Theorems. The Second Edition features:

  • A chapter on the Riemann integral, including the subject of uniform continuity

  • Explicit coverage of the epsilon-delta convergence

  • A discussion of the modern preference for the viewpoint of sequences over that of series

Throughout the book, numerous applications and examples reinforce concepts and demonstrate the validity of historical methods and results, while appended excerpts from original historical works shed light on the concerns of influential mathematicians in addition to the difficulties encountered in their work. Each chapter concludes with exercises ranging in level of complexity, and partial solutions are provided at the end of the book.

Real Analysis: A Historical Approach, Second Edition is an ideal book for courses on real analysis and mathematical analysis at the undergraduate level. The book is also a valuable resource for secondary mathematics teachers and mathematicians.

"synopsis" may belong to another edition of this title.

About the Author:

SAUL STAHL, PhD, is Professor in the Department of Mathematics at The University of Kansas. He has published numerous journal articles in his areas of research interest, which include combinatorics, discrete mathematics, and topological graph theory. Dr. Stahl is the author of Introductory Modern Algebra: A Historical Approach and Introduction to Topology and Geometry, both published by Wiley. He was awarded the Carl B. Allendoerfer Award from the Mathematical Association of America for expository articles in both 1986 and 2006.

Review:

“Stahl’s book, though relatively modest in its historical ambit, is a workmanlike and very readable introduction to real analysis with a distinctive flavour provided by a plethora of accessible exercises, many of which are historically motivated.”  (The Mathematical Gazette, 1 March 2014)

"About this title" may belong to another edition of this title.

Top Search Results from the AbeBooks Marketplace

1.

Saul Stahl
Published by Wiley (2011)
ISBN 10: 0470878908 ISBN 13: 9780470878903
New Hardcover Quantity Available: 1
Seller:
Irish Booksellers
(Rumford, ME, U.S.A.)
Rating
[?]

Book Description Wiley, 2011. Hardcover. Book Condition: New. book. Bookseller Inventory # M0470878908

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 40.69
Convert Currency

Add to Basket

Shipping: FREE
Within U.S.A.
Destination, Rates & Speeds

2.

Stahl, Saul
Published by Wiley-Blackwell (2011)
ISBN 10: 0470878908 ISBN 13: 9780470878903
New Hardcover Quantity Available: 1
Seller:
Reuseabook
(Stroud, GLOS, United Kingdom)
Rating
[?]

Book Description Wiley-Blackwell, 2011. Hardcover. Book Condition: New. Dispatched, from the UK, within 48 hours of ordering. This book is in Brand New condition. Bookseller Inventory # CHL2156580

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 54.87
Convert Currency

Add to Basket

Shipping: US$ 2.65
From United Kingdom to U.S.A.
Destination, Rates & Speeds

3.

Saul Stahl
ISBN 10: 0470878908 ISBN 13: 9780470878903
New Paperback Quantity Available: 3
Seller:
LOCALBOOKS LLC
(BOLINGBROOK, IL, U.S.A.)
Rating
[?]

Book Description Paperback. Book Condition: New. Brand new, US edition, ship within 24 hours with tracking No. book. Bookseller Inventory # 31946

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 47.67
Convert Currency

Add to Basket

Shipping: US$ 9.99
Within U.S.A.
Destination, Rates & Speeds

4.

Stahl, Saul
Published by Wiley (2011)
ISBN 10: 0470878908 ISBN 13: 9780470878903
New Hardcover Quantity Available: 2
Seller:
Murray Media
(North Miami Beach, FL, U.S.A.)
Rating
[?]

Book Description Wiley, 2011. Hardcover. Book Condition: New. Never used!. Bookseller Inventory # P110470878908

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 67.92
Convert Currency

Add to Basket

Shipping: US$ 1.99
Within U.S.A.
Destination, Rates & Speeds

5.

Saul Stahl PhD
Published by Wiley (2011)
ISBN 10: 0470878908 ISBN 13: 9780470878903
New Hardcover Quantity Available: 1
Seller:
Ergodebooks
(RICHMOND, TX, U.S.A.)
Rating
[?]

Book Description Wiley, 2011. Hardcover. Book Condition: New. 2. Bookseller Inventory # DADAX0470878908

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 76.06
Convert Currency

Add to Basket

Shipping: US$ 3.99
Within U.S.A.
Destination, Rates & Speeds

6.

Stahl, Saul
Published by Mississauga, ON, Canada: John Wiley & Sons Canada, Limited (2011)
ISBN 10: 0470878908 ISBN 13: 9780470878903
New Hardcover Quantity Available: 5
Seller:
LINDABOOK
(Taipei, TP, Taiwan)
Rating
[?]

Book Description Mississauga, ON, Canada: John Wiley & Sons Canada, Limited, 2011. Hardcover. Book Condition: New. Ship out 1-2 business day,Brand new,US edition, Free tracking number usually 2-4 biz days delivery to worldwide Same shipping fee with US, Canada,Europe country, Australia, item will ship out from either LA or Asia,ht. Bookseller Inventory # ABE-8904238923

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 86.53
Convert Currency

Add to Basket

Shipping: US$ 9.90
From Taiwan to U.S.A.
Destination, Rates & Speeds

7.

Saul Stahl
Published by John Wiley and Sons
ISBN 10: 0470878908 ISBN 13: 9780470878903
New Quantity Available: > 20
Seller:
INDOO
(Avenel, NJ, U.S.A.)
Rating
[?]

Book Description John Wiley and Sons. Book Condition: New. Brand New. Bookseller Inventory # 0470878908

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 107.83
Convert Currency

Add to Basket

Shipping: US$ 3.50
Within U.S.A.
Destination, Rates & Speeds

8.

Saul Stahl
Published by John Wiley and Sons Ltd, United States (2011)
ISBN 10: 0470878908 ISBN 13: 9780470878903
New Hardcover Quantity Available: 1
Seller:
The Book Depository US
(London, United Kingdom)
Rating
[?]

Book Description John Wiley and Sons Ltd, United States, 2011. Hardback. Book Condition: New. 2nd Edition. Language: English . Brand New Book. A provocative look at the tools and history of real analysis This new edition of Real Analysis: A Historical Approach continues to serve as an interesting read for students of analysis. Combining historical coverage with a superb introductory treatment, this book helps readers easily make the transition from concrete to abstract ideas. The book begins with an exciting sampling of classic and famous problems first posed by some of the greatest mathematicians of all time. Archimedes, Fermat, Newton, and Euler are each summoned in turn, illuminating the utility of infinite, power, and trigonometric series in both pure and applied mathematics. Next, Dr. Stahl develops the basic tools of advanced calculus, which introduce the various aspects of the completeness of the real number system as well as sequential continuity and differentiability and lead to the Intermediate and Mean Value Theorems. The Second Edition features: * A chapter on the Riemann integral, including the subject of uniform continuity * Explicit coverage of the epsilon-delta convergence * A discussion of the modern preference for the viewpoint of sequences over that of series Throughout the book, numerous applications and examples reinforce concepts and demonstrate the validity of historical methods and results, while appended excerpts from original historical works shed light on the concerns of influential mathematicians in addition to the difficulties encountered in their work. Each chapter concludes with exercises ranging in level of complexity, and partial solutions are provided at the end of the book. Real Analysis: A Historical Approach, Second Edition is an ideal book for courses on real analysis and mathematical analysis at the undergraduate level. The book is also a valuable resource for secondary mathematics teachers and mathematicians. Bookseller Inventory # AAH9780470878903

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 119.50
Convert Currency

Add to Basket

Shipping: FREE
From United Kingdom to U.S.A.
Destination, Rates & Speeds

9.

Saul Stahl
Published by John Wiley and Sons Ltd, United States (2011)
ISBN 10: 0470878908 ISBN 13: 9780470878903
New Hardcover Quantity Available: 1
Seller:
The Book Depository
(London, United Kingdom)
Rating
[?]

Book Description John Wiley and Sons Ltd, United States, 2011. Hardback. Book Condition: New. 2nd Edition. Language: English . Brand New Book. A provocative look at the tools and history of real analysis This new edition of Real Analysis: A Historical Approach continues to serve as an interesting read for students of analysis. Combining historical coverage with a superb introductory treatment, this book helps readers easily make the transition from concrete to abstract ideas. The book begins with an exciting sampling of classic and famous problems first posed by some of the greatest mathematicians of all time. Archimedes, Fermat, Newton, and Euler are each summoned in turn, illuminating the utility of infinite, power, and trigonometric series in both pure and applied mathematics. Next, Dr. Stahl develops the basic tools of advanced calculus, which introduce the various aspects of the completeness of the real number system as well as sequential continuity and differentiability and lead to the Intermediate and Mean Value Theorems. The Second Edition features: * A chapter on the Riemann integral, including the subject of uniform continuity * Explicit coverage of the epsilon-delta convergence * A discussion of the modern preference for the viewpoint of sequences over that of series Throughout the book, numerous applications and examples reinforce concepts and demonstrate the validity of historical methods and results, while appended excerpts from original historical works shed light on the concerns of influential mathematicians in addition to the difficulties encountered in their work. Each chapter concludes with exercises ranging in level of complexity, and partial solutions are provided at the end of the book. Real Analysis: A Historical Approach, Second Edition is an ideal book for courses on real analysis and mathematical analysis at the undergraduate level. The book is also a valuable resource for secondary mathematics teachers and mathematicians. Bookseller Inventory # AAH9780470878903

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 121.62
Convert Currency

Add to Basket

Shipping: FREE
From United Kingdom to U.S.A.
Destination, Rates & Speeds

10.

Saul Stahl
Published by Wileyand#8211;Blackwell (2011)
ISBN 10: 0470878908 ISBN 13: 9780470878903
New Quantity Available: 5
Seller:
Books2Anywhere
(Fairford, GLOS, United Kingdom)
Rating
[?]

Book Description Wileyand#8211;Blackwell, 2011. HRD. Book Condition: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Bookseller Inventory # FW-9780470878903

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 111.84
Convert Currency

Add to Basket

Shipping: US$ 11.94
From United Kingdom to U.S.A.
Destination, Rates & Speeds

There are more copies of this book

View all search results for this book