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Advanced Calculus by Fitzpatrick, Patrick
by Fitzpatrick, Patrick | HC | Good
US $27.43
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“Pages can have notes/highlighting. Spine may show signs of wear. ~ ThriftBooks: Read More, ”... Read moreabout condition
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Located in: Aurora, Illinois, United States
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eBay item number:375100179988
Item specifics
- Condition
- Good
- Seller Notes
- Binding
- Hardcover
- Weight
- 2 lbs
- Product Group
- Book
- IsTextBook
- No
- ISBN
- 9780821847916
- Series
- Pure and Applied Undergraduate Texts
- Publication Year
- 2009
- Type
- Textbook
- Format
- Hardcover
- Language
- English
- Publication Name
- Advanced Calculus
- Publisher
- American Mathematical Society
- Number of Pages
- 590 Pages
About this product
Product Information
Advanced Calculus is intended as a text for courses that furnish the backbone of the student's undergraduate education in mathematical analysis. The goal is to rigorously present the fundamental concepts within the context of illuminating examples and stimulating exercises. This book is self-contained and starts with the creation of basic tools using the completeness axiom. The continuity, differentiability, integrability, and power series representation properties of functions of a single variable are established. The next few chapters describe the topological and metric properties of Euclidean space. These are the basis of a rigorous treatment of differential calculus (including the Implicit Function Theorem and Lagrange Multipliers) for mappings between Euclidean spaces and integration for functions of several real variables. Special attention has been paid to the motivation for proofs. Selected topics, such as the Picard Existence Theorem for differential equations, have been included in such a way that selections may be made while preserving a fluid presentation of the essential material. Supplemented with numerous exercises, ""Advanced Calculus"" is a perfect book for undergraduate students of analysis.
Product Identifiers
Publisher
American Mathematical Society
ISBN-10
0821847910
ISBN-13
9780821847916
eBay Product ID (ePID)
73199288
Product Key Features
Publication Name
Advanced Calculus
Format
Hardcover
Language
English
Series
Pure and Applied Undergraduate Texts
Publication Year
2009
Type
Textbook
Number of Pages
590 Pages
Additional Product Features
Series Volume Number
5
Lc Classification Number
Qa303.2.F58 2009
Edition Description
Revised Edition,New Edition
Edition Number
2
Reviews
This is a well-written and well-structured book with clearly explained proofs and a good supply of exercises, some of them are quite challenging. It is this reviewer's opinion that the volume should be an excellent and useful tool for undergraduate students." - Teodora-Liliana Radulescu, Zentralblatt MATH
Table of Content
Preface Preliminaries 1. Tools for Analysis 2. Convergent Sequences 3. Continuous Functions 4. Differentiation 5. Elementary Functions as Solutions of Differential Equations 6. Integration: Two Fundamental Theorems 7. Integration: Further Topics 8. Approximation by Taylor Polynomials 9. Sequences and Series of Functions 10. The Euclidean Space Rn 11. Continuity, Compactness, and Connectedness 12. Metric Spaces 13. Differentiating Functions of Several Variables 14. Local Approximation of Real-Valued Functions 15. Approximating Nonlinear Mapping by Linear Mappings 16. Images and Inverses: The Inverse Function Theorem 17. The Implicit Function Theorem and its Applications 18. Integrating Functions of Several Variables 19. Iterated Integration and Changes of Variables 20. Line and Surface Integrals Appendix A: Consequences of the Field and Positivity Axioms Appendix B: Linear Algebra Index
Copyright Date
2009
Target Audience
Scholarly & Professional
Topic
Calculus
Lccn
2008-047395
Dewey Decimal
515
Dewey Edition
22
Illustrated
Yes
Genre
Mathematics
Item description from the seller
Seller assumes all responsibility for this listing.
eBay item number:375100179988
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- Oct 03, 2017
New but have a little folds
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