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Foundations of Analysis (Pure and Applied Undergraduate Texts: Sally, 18) HC
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Condition:
“Lightly read. No obvious wear or tear to covers or book block.”
Very Good
A book that has been read but is in excellent condition. No obvious damage to the cover, with the dust jacket included for hard covers. No missing or damaged pages, no creases or tears, and no underlining/highlighting of text or writing in the margins. May be very minimal identifying marks on the inside cover. Very minimal wear and tear.
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Located in: South Lake Tahoe, California, United States
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eBay item number:317000865203
Item specifics
- Condition
- Very Good
- Seller Notes
- “Lightly read. No obvious wear or tear to covers or book block.”
- Book Title
- Foundations of Analysis (Pure and Applied Undergraduate Texts: Sa
- ISBN
- 9780821889848
About this product
Product Identifiers
Publisher
American Mathematical Society
ISBN-10
0821889842
ISBN-13
9780821889848
eBay Product ID (ePID)
159816939
Product Key Features
Number of Pages
398 Pages
Language
English
Publication Name
Foundations of Analysis
Subject
Functional Analysis
Publication Year
2012
Type
Textbook
Subject Area
Mathematics
Series
Pure and Applied Undergraduate Texts
Format
Hardcover
Dimensions
Item Height
0.9 in
Item Weight
30.7 Oz
Item Length
10 in
Item Width
7 in
Additional Product Features
Intended Audience
Scholarly & Professional
LCCN
2012-023909
Dewey Edition
23
Reviews
Foundations of Analysis is an excellent new text for undergraduate students in real analysis. More than other texts in the subject, it is clear, concise and to the point, without extra bells and whistles. It also has many good exercises that help illustrate the material. My students were very satisfied with it." - Nat Smale, University of Utah "I have taught our Foundations of Analysis course (based on Joe Taylor's book) several times recently, and have enjoyed doing so. The book is well-written, clear, and concise, and supplies the students with very good introductory discussions of the various topics, correct and well-thought-out proofs, and appropriate, helpful examples. The end-of-chapter problems supplement the body of the text very well (and range nicely from simple exercises to really challenging problems)." - Robert Brooks, University of Utah "An excellent text for students whose future will include contact with mathematical analysis, whatever their discipline might be. It is content-comprehensive and pedagogically sound. There are exercises adequate to guarantee thorough grounding in the basic facts, and problems to initiate thought and gain experience in proofs and counterexamples. Moreover, the text takes the reader near enough to the frontier of analysis at the calculus level that the teacher can challenge the students with questions that are at the ragged edge of research for undergraduate students. I like it a lot." - Don Tucker, University of Utah "My students appreciate the concise style of the book and the many helpful examples." - W.M. McGovern, University of Washington
Series Volume Number
18
Illustrated
Yes
Dewey Decimal
515.7
Table Of Content
Preface The real numbers Sequences Continuous functions The derivative The integral Infinite series Convergence in Euclidean space Functions on Euclidean space Differentiation in several variables Integration in several variables Vector calculus Degrees of infinity Bibliography Index
Synopsis
Foundations of Analysis has two main goals. The first is to develop in students the mathematical maturity and sophistication they will need as they move through the upper division curriculum. The second is to present a rigorous development of both single and several variable calculus, beginning with a study of the properties of the real number system. The presentation is both thorough and concise, with simple, straightforward explanations., Analysis plays a crucial role in the undergraduate curriculum. Building upon the familiar notions of calculus, analysis introduces the depth and rigor characteristic of higher mathematics courses. Foundations of Analysis has two main goals. The first is to develop in students the mathematical maturity and sophistication they will need as they move through the upper division curriculum. The second is to present a rigorous development of both single and several variable calculus, beginning with a study of the properties of the real number system. The presentation is both thorough and concise, with simple, straightforward explanations. The exercises differ widely in level of abstraction and level of difficulty. They vary from the simple to the quite difficult and from the computational to the theoretical. Each section contains a number of examples designed to illustrate the material in the section and to teach students how to approach the exercises for that section. The list of topics covered is rather standard, although the treatment of some of them is not. The several variable material makes full use of the power of linear algebra, particularly in the treatment of the differential of a function as the best affine approximation to the function at a given point. The text includes a review of several linear algebra topics in preparation for this material. In the final chapter, vector calculus is presented from a modern point of view, using differential forms to give a unified treatment of the major theorems relating derivatives and integrals: Green's, Gauss's, and Stokes's Theorems. At appropriate points, abstract metric spaces, topological spaces, inner product spaces, and normed linear spaces are introduced, but only as asides. That is, the course is grounded in the concrete world of Euclidean space, but the students are made aware that there are more exotic worlds in which the concepts they are learning may be studied., Analysis plays a crucial role in the undergraduate curriculum. Building upon the familiar notions of calculas, analysis introduces the depth and rigor characteristic of higher mathematics courses. This book develops students mathematical maturity and sophistication. It also presents a rigorous development of both single and several variable calculus, beginning with a study of the properties of the real number system.
LC Classification Number
QA320.T39 2012
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- n***y (1282)- Feedback left by buyer.Past 6 monthsVerified purchaseExactly as described! Back cover stain was mentioned and pictured in listing, but was easily removed! Book looks brand new! Quickly shipped securely in a well padded envelope and arrived in perfect condition. Don't hesitate to purchase from this seller...top notch all the way! A+++ Thank you!More Than A Body: Your Body Is an Instrument, Not an Ornament Lexie Kite (#315763922473)
- i***u (126)- Feedback left by buyer.Past 6 monthsVerified purchaseThe book arrived packed well, and it was shipped out and received quickly. It was a great price for a Hardcover that is in such great condition. Shipping cost was fair and the item was as described and as shown. I would highly recommend the seller, I found the whole experience to be very positive.Medical Medium Cleanse to Heal: Healing Plans for Sufferers of Anxiety... HC (#315019647281)
- r***s (257)- Feedback left by buyer.Past 6 monthsVerified purchaseGreat seller, the book is in good condition and as described and the price is right, the look is great, shipping was fast and the book arrived on time and well packaged
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Seller feedback (693)
- n***y (1282)- Feedback left by buyer.Past 6 monthsVerified purchaseExactly as described! Back cover stain was mentioned and pictured in listing, but was easily removed! Book looks brand new! Quickly shipped securely in a well padded envelope and arrived in perfect condition. Don't hesitate to purchase from this seller...top notch all the way! A+++ Thank you!More Than A Body: Your Body Is an Instrument, Not an Ornament Lexie Kite (#315763922473)
- i***u (126)- Feedback left by buyer.Past 6 monthsVerified purchaseThe book arrived packed well, and it was shipped out and received quickly. It was a great price for a Hardcover that is in such great condition. Shipping cost was fair and the item was as described and as shown. I would highly recommend the seller, I found the whole experience to be very positive.Medical Medium Cleanse to Heal: Healing Plans for Sufferers of Anxiety... HC (#315019647281)
- r***s (257)- Feedback left by buyer.Past 6 monthsVerified purchaseGreat seller, the book is in good condition and as described and the price is right, the look is great, shipping was fast and the book arrived on time and well packaged