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Product Identifiers
PublisherAmerican Mathematical Society
ISBN-100821847910
ISBN-139780821847916
eBay Product ID (ePID)73199288
Product Key Features
Number of Pages590 Pages
Publication NameAdvanced Calculus
LanguageEnglish
Publication Year2009
SubjectCalculus
TypeTextbook
Subject AreaMathematics
AuthorPatrick M. Fitzpatrick
SeriesPure and Applied Undergraduate Texts
FormatHardcover
Dimensions
Item Height1.4 in
Item Weight42.2 Oz
Item Length10.2 in
Item Width7.2 in
Additional Product Features
Edition Number2
Intended AudienceScholarly & Professional
LCCN2008-047395
Dewey Edition22
ReviewsThis 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
Series Volume Number5
IllustratedYes
Dewey Decimal515
Table Of ContentPreface 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
Edition DescriptionRevised edition,New Edition
SynopsisAdvanced 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., Suitable as a text for courses that furnish the backbone of the student's undergraduate education in mathematical analysis, this book intends to present the fundamental concepts within the context of examples and exercises. It starts with the creation of basic tools using the completeness axiom.
LC Classification NumberQA303.2.F58 2009
Bewertungen und Rezensionen
Relevanteste Rezensionen
- 04. Okt. 2017
New but have a little folds
It’s Indian version and new. The book is in good condition, except that a little folds.Bestätigter Kauf: JaArtikelzustand: Neu
