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Elementary Real Analysis, Bruckner, Judith B.,Bruckner, Andrew M.,Thomson, Brian
US $36.23
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A book that has been read, but is in good condition. Minimal damage to the book cover eg. scuff marks, but no holes or tears. If this is a hard cover, the dust jacket may be missing. Binding has minimal wear. The majority of pages are undamaged with some creasing or tearing, and pencil underlining of text, but this is minimal. No highlighting of text, no writing in the margins, and no missing pages. See the seller’s listing for full details and description of any imperfections.
- Buy it nowElementary Real Analysis, Bruckner, Judith B.,Bruckner, Andrew M.,Thomson, Brian
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Item specifics
- Condition
- Book Title
- Elementary Real Analysis
- ISBN
- 9780130190758
About this product
Product Identifiers
Publisher
Prentice Hall PTR
ISBN-10
0130190756
ISBN-13
9780130190758
eBay Product ID (ePID)
1763067
Product Key Features
Number of Pages
677 Pages
Publication Name
Elementary Real Analysis
Language
English
Subject
Calculus, Mathematical Analysis
Publication Year
2000
Type
Textbook
Subject Area
Mathematics
Format
Hardcover
Dimensions
Item Height
1.2 in
Item Weight
43.7 Oz
Item Length
9.6 in
Item Width
7.4 in
Additional Product Features
Intended Audience
College Audience
LCCN
00-041679
Dewey Edition
21
Illustrated
Yes
Dewey Decimal
515
Table Of Content
1. Properties of the Real Numbers. Introduction. The Real Number System. Algebraic Structure. Order Structure. Bounds. Sups and Infs. The Archimedean Property. Inductive Property of IN. The Rational Numbers Are Dense. The Metric Structure of R. Challenging Problems for Chapter 1. 2. Sequences. Introduction. Sequences. Countable Sets. Convergence. Divergence. Boundedness Properties of Limits. Algebra of Limits. Order Properties of Limits. Monotone Convergence Criterion. Examples of Limits. Subsequences. Cauchy Convergence Criterion. Upper and Lower Limits. Challenging Problems for Chapter 2. 3. Infinite Sums. Introduction. Finite Sums. Infinite Unordered Sums. Ordered Sums: Series. Criteria for Convergence. Tests for Convergence. Rearrangements. Products of Series. Summability Methods. More on Infinite Sums. Infinite Products. Challenging Problems for Chapter 3. 4. Sets of Real Numbers. Introduction. Points. Sets. Elementary Topology. Compactness Arguments. Countable Sets. Challenging Problems for Chapter 4. 5. Continuous Functions. Introduction to Limits. Properties of Limits. Limits Superior and Inferior. Continuity. Properties of Continuous Functions. Uniform Continuity. Extremal Properties. Darboux Property. Points of Discontinuity. Challenging Problems for Chapter 5. 6. More on Continuous Functions and Sets. Introduction. Dense Sets. Nowhere Dense Sets. The Baire Category Theorem. Cantor Sets. Borel Sets. Oscillation and Continuity. Sets of Measure Zero. Challenging Problems for Chapter 6. 7. Differentiation. Introduction. The Derivative. Computations of Derivatives. Continuity of the Derivative? Local Extrema. Mean Value Theorem. Monotonicity. Dini Derivatives. The Darboux Property of the Derivative. Convexity. L'Hopital's Rule. Taylor Polynomials. Challenging Problems for Chapter 7. 8. The Integral. Introduction. Cauchy's First Method. Properties of the Integral. Cauchy's Second Method. Cauchy's Second Method (Continued). The Riemann Integral. Properties of the Riemann Integral. The Improper Riemann Integral. More on the Fundamental Theorem of Calculus. Challenging Problems for Chapter 8. 9. Sequences and Series of Functions. Introduction. Pointwise Limits. Uniform Limits. Uniform Convergence and Continuity. Uniform Convergence and the Integral. Uniform Convergence and Derivatives. Pompeiu's Function. Continuity and Pointwise Limits. Challenging Problems for Chapter 9. 10. Power Series. Introduction. Power Series: Convergence. Uniform Covergence. Functions Represented by Power Series. The Taylor Series. Products of Power Series. Composition of Power Series. Trigonometric Series. 11. The Euclidean Spaces Rn. The Algebraic Structure of Rn. The Metric Structure of Rn. Elementary Topology of Rn. Sequences in Rn. Functions and Mappings. Limits of Functions from Rn to Rm. Continuity of Functions from Rn to Rm. Compact Sets in Rn. Continuous Functions on Compact Sets. Additional Remarks. 12. Differentiation on Rn. Introduction. Partial and Directional Derivatives. Integrals Depending on a Parameter. Differentiable Functions. Chain Rules. Implicit Function Theorems. Functions from R to Rm. Functions from Rn to Rm. 13. Metric Spaces. Introduction. Metric SpacesSpecific Examples. Convergence. Sets in a Metric Space. Functions. Separable Spaces. Complete Spaces. Contraction Maps. Applications of Contraction Maps (I). Applications of Contraction Maps (II). Compactness. Baire Category Theorem. Applications of the Baire Category Theorem. Challenging Problems for Chapter 13. Appendix A: Backgroun
Synopsis
Elementary Real Analysis is written in a rigorous, yet reader friendly style with motivational and historical material that emphasizes the big picture” and makes proofs seem natural rather than mysterious. Introduces key concepts such as point set theory, uniform continuity of functions and uniform convergence of sequences of functions. Covers metric spaces. Ideal for readers interested in mathematics, particularly in advanced calculus and real analysis., For undergraduate courses in Advanced Calculus and Real Analysis, as well as for beginning graduate students in mathematics. For a one or two semester sequence. Elementary Real Analysis is written in a reader friendly style with motivational and historical material that emphasizes the "big picture" and makes proofs seem natural rather than mysterious. It introduces key concepts such as point set theory, uniform continuity of functions and uniform convergence of sequences of functions. It is designed to prepare students for graduate work in mathematical analysis., For courses in Elementary Calculus as well as for beginning graduate students in mathematics. The only text of its kind, Elementary Real Analysis presents familiar concepts from calculus at a more rigorous level. It introduces key concepts such as point set theory, uniform continuity of functions and uniform convergence of sequences of functions. *NEW - Motivational discussion and historical asides - Much more than are commonly found at this level. *NEW - Enrichment and advanced sections. *NEW - Rigorous but very reader friendly. *Unique coverage of metric spaces.
LC Classification Number
QA300.T45 2001
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- e***v (126)- Feedback left by buyer.Past 6 monthsVerified purchaseOverall, it went well. Good communication. I wanted the book to be shipped in a box, because the value and scarcity of the volume I purchased deserved it, however, the company is too large and I was informed the book would be shipped in a plastic mailer. Somehow it didn’t arrive very damaged, a little bump, but for the price I can’t complain. Over all I am satisfied, but if you’re a book collector, as I am, you may want to find another seller.Aurora: The Dayspring, or Dawning of the Day in the East, Boehme, Jacob, 9781558 (#236039083546)
- s***a (769)- Feedback left by buyer.Past 6 monthsVerified purchaseThis company has been, in my experience, a mixed bag. This title was NOT worth the price because it came with highlighting, ink underlineing & writing in the margins...not the quality that they advertised. I have on other occasions gotten books in great condition, however, that were listed in less than the condition advertised so it goes both ways...but I'd much prefer a company that delivers exactly what they advertise. I guess good help is hard to find. The book was well packaged & came fast.
- a***a (14)- Feedback left by buyer.Past 6 monthsVerified purchaseThe shipping was quicker than I expected and book condition was exactly as advertised! Price I paid also was fair and reasonable so I could purchase. The appearance of the book showed no indication of tear or damage and book was wrapped very good and tight. I recommend this seller for his best customer service!The Book of the Revelation: A Commentary Based on a Study of Twenty-Three Psychi (#335856777005)
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Seller Feedback (38,277)
- e***v (126)- Feedback left by buyer.Past 6 monthsVerified purchaseOverall, it went well. Good communication. I wanted the book to be shipped in a box, because the value and scarcity of the volume I purchased deserved it, however, the company is too large and I was informed the book would be shipped in a plastic mailer. Somehow it didn’t arrive very damaged, a little bump, but for the price I can’t complain. Over all I am satisfied, but if you’re a book collector, as I am, you may want to find another seller.Aurora: The Dayspring, or Dawning of the Day in the East, Boehme, Jacob, 9781558 (#236039083546)
- s***a (769)- Feedback left by buyer.Past 6 monthsVerified purchaseThis company has been, in my experience, a mixed bag. This title was NOT worth the price because it came with highlighting, ink underlineing & writing in the margins...not the quality that they advertised. I have on other occasions gotten books in great condition, however, that were listed in less than the condition advertised so it goes both ways...but I'd much prefer a company that delivers exactly what they advertise. I guess good help is hard to find. The book was well packaged & came fast.
- a***a (14)- Feedback left by buyer.Past 6 monthsVerified purchaseThe shipping was quicker than I expected and book condition was exactly as advertised! Price I paid also was fair and reasonable so I could purchase. The appearance of the book showed no indication of tear or damage and book was wrapped very good and tight. I recommend this seller for his best customer service!The Book of the Revelation: A Commentary Based on a Study of Twenty-Three Psychi (#335856777005)