ISBN13: 978-0534376031

ISBN10: 0534376037

cal analysis instills habits of thought that are essential for a proper understanding of many areas of pure and applied mathematics. Students gain a precise understanding of the subject, together with an appreciation of its coherence and significance. The full book is suitable for a year-long course; the first nine chapters are suitable for a one-term course on functions of a single variable. This book is included in the Brooks/Cole Series in Advanced Mathematics.

Benefits:

...show moreBenefits:

- NEW! Many changes, some small and some large, have been made in the proofs to emphasize even more strongly the following point of view: Mathematics students must learn to read mathematics, not just listen to it in class, and this book gives them an opportunity to do so. This is a course for students who are learning the art of proof. When the students read a proof, they should feel they understand how mathematicians discovered the proof and so the text avoids 'rabbit out of the hat' proofs. The proofs seem natural to the students and encourage them to believe they could have discovered the proofs.
- NEW! There has been a fundamental conceptual clarification in the development of the material on the structure of the real numbers and the integral.
- NEW! Many new exercises, of varying degrees of difficulty, have been added. A Solutions Manual is available with detailed solutions to selected problems.
- NEW! A number of non-essential concepts have been eliminated and optional material has been placed in a way to make it possible to cover the essential material more easily and fluidly.
- The text's presentation is conversational and mathematically precise.
- In addition to the essential topics, the author includes important topics such as the approximation methods for estimating integrals, the Weierstrass Approximation Theorem, and metric spaces, without disturbing the coherence of the course.
- A wide variety of exercises helps students gain a genuine understanding of the material. The more challenging problems often stimulate the student to carefully reread the relevant sections in order to properly assimilate the material.

Benefits:

- NEW! Many changes, some small and some large, have been made in the proofs to emphasize even more strongly the following point of view: Mathematics students must learn to read mathematics, not just listen to it in class, and this book gives them an opportunity to do so. This is a course for students who are learning the art of proof. When the students read a proof, they should feel they understand how mathematicians discovered the proof and so the text avoids 'rabbit out of the hat' proofs. The proofs seem natural to the students and encourage them to believe they could have discovered the proofs.
- NEW! There has been a fundamental conceptual clarification in the development of the material on the structure of the real numbers and the integral.
- NEW! Many new exercises, of varying degrees of difficulty, have been added. A Solutions Manual is available with detailed solutions to selected problems.
- NEW! A number of non-essential concepts have been eliminated and optional material has been placed in a way to make it possible to cover the essential material more easily and fluidly.
- The text's presentation is conversational and mathematically precise.
- In addition to the essential topics, the author includes important topics such as the approximation methods for estimating integrals, the Weierstrass Approximation Theorem, and metric spaces, without disturbing the coherence of the course.
- A wide variety of exercises helps students gain a genuine understanding of the material. The more challenging problems often stimulate the student to carefully reread the relevant sections in order to properly assimilate the material.

View Table of Contents

**Free Shipping**

Get Free Shipping on orders over $25 (not including Rental and Marketplace). Order arrives in 5-10 business days.

**Need it faster?**

We offer fast, flat-rate expedited shipping options.

Not the right book for you? We'll gladly take it back within 30 days.

- Your eTextbook is non-returnable once it's been activated. You must contact us about returning your eTextbook before you activate it.
- Returns are accepted within 30 days of the purchase date on your order confirmation.

Buy it now for , then:

Sell it back by: | ||||

Guaranteed cash back: | ||||

Cost of this book after cash back: |

**Take advantage of Guaranteed Cash Back. Send your book to us in good condition before the end of the buyback period, we'll send YOU a check, and you'll pay less for your textbooks!**

If you find this book for less on Amazon.com (direct from Amazon, not marketplace sellers), we'll match it.

In our warehouse, waiting to ship directly to you.

We hand-inspect every used textbook to make sure it's in good condition.

Buy it now. Sell it later!

When you're done with this book, sell it back to Textbooks.com. In addition to the best possible buyback price, you'll get an extra 10% cash back just for being a customer.

We buy good-condition used textbooks year 'round, 24/7. No matter where you bought it, Textbooks.com will buy your textbooks for the most cash.

Our used textbooks do NOT have:

- Water damage
- Missing or torn pages
- Missing or torn cover
- Torn or damaged binding
- Excessive note-taking/hi-lighting
- A broken spine

This textbook has never been used.

Due to the size of eTextbooks, a high-speed internet connection (cable modem, DSL, LAN) is required for download stability and speed.

Your connection can be wired or wireless.

Your connection can be wired or wireless.

Being online is not required for reading an eTextbook after successfully downloading it. You must only be connected to the Internet duringthe download process.

**Minimum Requirements:**

- XP or Windows 7 (32 or 64 running in 32 bit mode), or Mac OS 10.6 or above
- At least 512 MB RAM, 600 mHZ processor, and 40 MB of hard drive space (75MB for Mac OS)

**What is the Marketplace?**

It's another way for you to get the right price on the books you need. We approved every Marketplace vendor to sell their books on Textbooks.com, so you know they're all reliable.

**What are Marketplace shipping options?**

Marketplace items do not qualify for free shipping. When ordering from the Marketplace, please specify whether you want the seller to send your book Standard ($3.99/item) or Express ($6.99/item). To get free shipping over $25, just order directly from Textbooks.com instead of through the Marketplace.

**FREE UPS 2nd Day Air Terms**

Close | ||