Elementary Analysis: The Theory of Calculus (Undergraduate Texts in Mathematics)

3.64 avg rating
( 85 ratings by Goodreads )
 
9781461462705: Elementary Analysis: The Theory of Calculus (Undergraduate Texts in Mathematics)

For over three decades, this best-selling classic has been used by thousands of students in the United States and abroad as a must-have textbook for a transitional course from calculus to analysis. It has proven to be very useful for mathematics majors who have no previous experience with rigorous proofs.  Its friendly style unlocks the mystery of writing proofs, while carefully examining the theoretical basis for calculus.  Proofs are given in full, and the large number of well-chosen examples and exercises range from routine to challenging.

The second edition preserves the book’s clear and concise style, illuminating discussions, and simple, well-motivated proofs.  New topics include material on the irrationality of pi, the Baire category theorem, Newton's method and the secant method, and continuous nowhere-differentiable functions.

 

Review from the first edition:

"This book is intended for the student who has a good, but naïve, understanding of elementary calculus and now wishes to gain a thorough understanding of a few basic concepts in analysis.... The author has tried to write in an informal but precise style, stressing motivation and methods of proof, and ... has succeeded admirably."

?MATHEMATICAL REVIEWS

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

About the Author:

Kenneth A. Ross is currently an emeritus professor of mathematics at the University of Oregon.

Jorge M. López is currently professor of mathematics at the University of Puerto Rico.

Review:

From the reviews of the first edition:

"This book is intended for the student who has a good, but naďve, understanding of elementary calculus and now wishes to gain a thorough understanding of a few basic concepts in analysis, such as continuity, convergence of sequences and series of numbers, and convergence of sequences and series of functions. There are many nontrivial examples and exercises, which illuminate and extend the material. The author has tried to write in an informal but precise style, stressing motivation and methods of proof, and, in this reviewer’s opinion, has succeeded admirably."

?MATHEMATICAL REVIEWS

"This book occupies a niche between a calculus course and a full-blown real analysis course. … I think the book should be viewed as a text for a bridge or transition course that happens to be about analysis … . Lots of counterexamples. Most calculus books get the proof of the chain rule wrong, and Ross not only gives a correct proof but gives an example where the common mis-proof fails."

?Allen Stenger (The Mathematical Association of America, June, 2008)

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

Top Search Results from the AbeBooks Marketplace

International Edition
International Edition

1.

HIJAB OMAR
ISBN 10: 1461462703 ISBN 13: 9781461462705
New Softcover Quantity Available: 9
International Edition
Seller
bookscollection
(Delhi, DELHI, India)
Rating
[?]

Book Description Book Condition: Brand New. PAPERBACK,Book Condition New, Brand New, Softcover, International Edition. We Do not Ship APO FPO AND PO BOX. Cover Image & ISBN may be different from US edition but contents as US Edition. Printing in English language. Quick delivery by USPS/UPS/DHL/FEDEX/ARAMEX ,Customer satisfaction guaranteed. We may ship the books from Asian regions for inventory purpose. Bookseller Inventory # ABESTTND7295

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 14.62
Convert Currency

Add to Basket

Shipping: US$ 5.15
From India to U.S.A.
Destination, Rates & Speeds

2.

Kenneth A. Ross
ISBN 10: 1461462703 ISBN 13: 9781461462705
New Quantity Available: 10
Print on Demand
Seller
BWB
(Valley Stream, NY, U.S.A.)
Rating
[?]

Book Description Book Condition: New. This item is Print on Demand - Depending on your location, this item may ship from the US or UK. Bookseller Inventory # POD_9781461462705

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 41.87
Convert Currency

Add to Basket

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

3.

Kenneth Allen Ross
Published by Springer-Verlag New York Inc., United States (2013)
ISBN 10: 1461462703 ISBN 13: 9781461462705
New Hardcover Quantity Available: 1
Seller
The Book Depository US
(London, United Kingdom)
Rating
[?]

Book Description Springer-Verlag New York Inc., United States, 2013. Hardback. Book Condition: New. 2nd ed. 2013. 236 x 163 mm. Language: English . Brand New Book. For over three decades, this best-selling classic has been used by thousands of students in the United States and abroad as a must-have textbook for a transitional course from calculus to analysis. It has proven to be very useful for mathematics majors who have no previous experience with rigorous proofs. Its friendly style unlocks the mystery of writing proofs, while carefully examining the theoretical basis for calculus. Proofs are given in full, and the large number of well-chosen examples and exercises range from routine to challenging. The second edition preserves the book s clear and concise style, illuminating discussions, and simple, well-motivated proofs. New topics include material on the irrationality of pi, the Baire category theorem, Newton s method and the secant method, and continuous nowhere-differentiable functions. Bookseller Inventory # AAZ9781461462705

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 43.44
Convert Currency

Add to Basket

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

4.

Kenneth Allen Ross
Published by Springer-Verlag New York Inc., United States (2013)
ISBN 10: 1461462703 ISBN 13: 9781461462705
New Hardcover Quantity Available: 1
Seller
The Book Depository
(London, United Kingdom)
Rating
[?]

Book Description Springer-Verlag New York Inc., United States, 2013. Hardback. Book Condition: New. 2nd ed. 2013. 236 x 163 mm. Language: English . Brand New Book. For over three decades, this best-selling classic has been used by thousands of students in the United States and abroad as a must-have textbook for a transitional course from calculus to analysis. It has proven to be very useful for mathematics majors who have no previous experience with rigorous proofs. Its friendly style unlocks the mystery of writing proofs, while carefully examining the theoretical basis for calculus. Proofs are given in full, and the large number of well-chosen examples and exercises range from routine to challenging. The second edition preserves the book s clear and concise style, illuminating discussions, and simple, well-motivated proofs. New topics include material on the irrationality of pi, the Baire category theorem, Newton s method and the secant method, and continuous nowhere-differentiable functions. Bookseller Inventory # AAZ9781461462705

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 44.82
Convert Currency

Add to Basket

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

5.

ROSS KENNETH A.
ISBN 10: 1461462703 ISBN 13: 9781461462705
New Quantity Available: 2
Seller
firstbookstore
(New Delhi, India)
Rating
[?]

Book Description Book Condition: Brand New. Brand New Original US Edition, Perfect Condition. Printed in English. Excellent Quality, Service and customer satisfaction guaranteed!. Bookseller Inventory # AIND-123774

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 47.14
Convert Currency

Add to Basket

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

6.

ROSS KENNETH A.
ISBN 10: 1461462703 ISBN 13: 9781461462705
New Quantity Available: 2
Seller
Bookshub
(Karol Bagh, India)
Rating
[?]

Book Description Book Condition: New. New. US edition. Perfect condition. Ship by express service to USA, Canada, Australia, France, Italy, UK, Germany and Netherland. Customer satisfaction our priority. Bookseller Inventory # ABE-FEB-65849

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 47.65
Convert Currency

Add to Basket

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

7.

ROSS KENNETH A.
ISBN 10: 1461462703 ISBN 13: 9781461462705
New Quantity Available: 2
Seller
EBOOKSTORE2010
(New Delhi, ND, India)
Rating
[?]

Book Description Book Condition: Brand New. New. US edition. Customer Satisfaction guaranteed!!. Bookseller Inventory # SHUB65849

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 47.70
Convert Currency

Add to Basket

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

8.

Kenneth A. Ross
Published by Springer 2013-04-17 (2013)
ISBN 10: 1461462703 ISBN 13: 9781461462705
New Quantity Available: 4
Seller
Chiron Media
(Wallingford, United Kingdom)
Rating
[?]

Book Description Springer 2013-04-17, 2013. Book Condition: New. Brand new book, sourced directly from publisher. Dispatch time is 24-48 hours from our warehouse. Book will be sent in robust, secure packaging to ensure it reaches you securely. Bookseller Inventory # NU-GRD-05058841

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 43.94
Convert Currency

Add to Basket

Shipping: US$ 3.89
From United Kingdom to U.S.A.
Destination, Rates & Speeds

9.

Kenneth A. Ross
Published by Springer New York 2013-04-17, New York (2013)
ISBN 10: 1461462703 ISBN 13: 9781461462705
New Hardcover Quantity Available: 10
Seller
Blackwell's
(Oxford, OX, United Kingdom)
Rating
[?]

Book Description Springer New York 2013-04-17, New York, 2013. hardback. Book Condition: New. Bookseller Inventory # 9781461462705

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 43.65
Convert Currency

Add to Basket

Shipping: US$ 5.85
From United Kingdom to U.S.A.
Destination, Rates & Speeds

10.

ROSS KENNETH A.
ISBN 10: 1461462703 ISBN 13: 9781461462705
New Quantity Available: 2
Seller
Romtrade Corp.
(STERLING HEIGHTS, MI, U.S.A.)
Rating
[?]

Book Description Book Condition: New. Brand New Original US Edition.We Ship to PO BOX Address also. EXPEDITED shipping option also available for faster delivery. Bookseller Inventory # AUSBNEW-123774

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 50.36
Convert Currency

Add to Basket

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

There are more copies of this book

View all search results for this book