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.*

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.

From the reviews of 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, 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.*

ISBN 10: 1461462703
ISBN 13: 9781461462705

New
Softcover
Quantity Available: 10

Seller

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

ISBN 10: 1461462703
ISBN 13: 9781461462705

New
Quantity Available: 1

Seller

Rating

**Book Description **Book Condition: New. Brand New. US Edition Book. We do not ship to Military Addresses. Fast Shipping with Order Tracking. For Standard Shipping 7-8 business days & Expedite Shipping 4-6 business days, after shipping. Bookseller Inventory # 1461462703-RMX

More Information About This Seller | Ask Bookseller a Question

ISBN 10: 1461462703
ISBN 13: 9781461462705

New
Quantity Available: > 20

Seller

Rating

**Book Description **Book Condition: New. Depending on your location, this item may ship from the US or UK. Bookseller Inventory # 97814614627050000000

More Information About This Seller | Ask Bookseller a Question

Published by
Springer
(2013)

ISBN 10: 1461462703
ISBN 13: 9781461462705

New
Quantity Available: 1

Seller

Rating

**Book Description **Springer, 2013. Book Condition: New. *PRICE HAS BEEN temporarily REDUCED until Monday, Feb. 27. Order now for best savings* 2nd edition, 412 pp., Hardcover, NEW!!!. Bookseller Inventory # ZB1054995

More Information About This Seller | Ask Bookseller a Question

Published by
Springer-Verlag New York Inc., United States
(2013)

ISBN 10: 1461462703
ISBN 13: 9781461462705

New
Hardcover
Quantity Available: 1

Seller

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. Review from the first edition: This book is intended for the student who has a good, but naive, 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. Bookseller Inventory # AAZ9781461462705

More Information About This Seller | Ask Bookseller a Question

Published by
Springer-Verlag New York Inc., United States
(2013)

ISBN 10: 1461462703
ISBN 13: 9781461462705

New
Hardcover
Quantity Available: 1

Seller

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. Review from the first edition: This book is intended for the student who has a good, but naive, 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. Bookseller Inventory # AAZ9781461462705

More Information About This Seller | Ask Bookseller a Question

Published by
Springer 2013-04-17
(2013)

ISBN 10: 1461462703
ISBN 13: 9781461462705

New
Quantity Available: 2

Seller

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

ISBN 10: 1461462703
ISBN 13: 9781461462705

New
Quantity Available: 2

Seller

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

ISBN 10: 1461462703
ISBN 13: 9781461462705

New
Quantity Available: 2

Seller

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-60140

More Information About This Seller | Ask Bookseller a Question

Published by
Springer-Verlag New York Inc. 2013-04-17, New York, NY
(2013)

ISBN 10: 1461462703
ISBN 13: 9781461462705

New
Hardcover
Quantity Available: 10

Seller

Rating

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

More Information About This Seller | Ask Bookseller a Question