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Advanced Calculus by Gerald Folland: Used
US $140.19
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Good
A book that has been read but is in good condition. Very minimal damage to the cover including scuff marks, but no holes or tears. The dust jacket for hard covers may not be included. Binding has minimal wear. The majority of pages are undamaged with minimal creasing or tearing, minimal pencil underlining of text, no highlighting of text, no writing in margins. No missing pages.
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eBay item number:285114491208
Item specifics
- Condition
- Book Title
- Advanced Calculus
- Publication Date
- 2001-12-21
- Pages
- 480
- ISBN
- 0130652652
About this product
Product Identifiers
Publisher
Pearson Education
ISBN-10
0130652652
ISBN-13
9780130652652
eBay Product ID (ePID)
2143098
Product Key Features
Number of Pages
480 Pages
Publication Name
Advanced Calculus
Language
English
Publication Year
2001
Subject
Calculus
Type
Textbook
Subject Area
Mathematics
Format
Trade Paperback
Dimensions
Item Height
1 in
Item Weight
26.4 Oz
Item Length
9 in
Item Width
7 in
Additional Product Features
Intended Audience
College Audience
LCCN
2001-055359
Dewey Edition
21
Illustrated
Yes
Dewey Decimal
515
Table Of Content
1. Setting the Stage. Euclidean Spaces and Vectors. Subsets of Euclidean Space. Limits and Continuity. Sequences. Completeness. Compactness. Connectedness. Uniform Continuity. 2. Differential Calculus. Differentiability in One Variable. Differentiability in Several Variables. The Chain Rule. The Mean Value Theorem. Functional Relations and Implicit Functions: A First Look. Higher-Order Partial Derivatives. Taylor's Theorem. Critical Points. Extreme Value Problems. Vector-Valued Functions and Their Derivatives. 3. The Implicit Function Theorem and Its Applications. The Implicit Function Theorem. Curves in the Plane. Surfaces and Curves in Space. Transformations and Coordinate Systems. Functional Dependence. 4. Integral Calculus. Integration on the Line. Integration in Higher Dimensions. Multiple Integrals and Iterated Integrals. Change of Variables for Multiple Integrals. Functions Defined by Integrals. Improper Integrals. Improper Multiple Integrals. Lebesgue Measure and the Lebesgue Integral. 5. Line and Surface Integrals; Vector Analysis. Arc Length and Line Integrals. Green's Theorem. Surface Area and Surface Integrals. Vector Derivatives. The Divergence Theorem. Some Applications to Physics. Stokes's Theorem. Integrating Vector Derivatives. Higher Dimensions and Differential Forms. 6. Infinite Series. Definitions and Examples. Series with Nonnegative Terms. Absolute and Conditional Convergence. More Convergence Tests. Double Series; Products of Series. 7. Functions Defined by Series and Integrals. Sequences and Series of Functions. Integrals and Derivatives of Sequences and Series. Power Series. The Complex Exponential and Trig Functions. Functions Defined by Improper Integrals. The Gamma Function. Stirling's Formula. 8. Fourier Series. Periodic Functions and Fourier Series. Convergence of Fourier Series. Derivatives, Integrals, and Uniform Convergence. Fourier Series on Intervals. Applications to Differential Equations. The Infinite-Dimensional Geometry of Fourier Series. The Isoperimetric Inequality. APPENDICES. A. Summary of Linear Algebra. Vectors. Linear Maps and Matrices. Row Operations and Echelon Forms. Determinants. Linear Independence. Subspaces; Dimension; Rank. Invertibility. Eigenvectors and Eigenvalues. B. Some Technical Proofs. The Heine-Borel Theorem. The Implicit Function Theorem. Approximation by Riemann Sums. Double Integrals and Iterated Integrals. Change of Variables for Multiple Integrals. Improper Multiple Integrals. Green's Theorem and the Divergence Theorem. Answers to Selected Exercises. Bibliography. Index.
Synopsis
This book presents a unified view of calculus in which theory and practice reinforces each other. It is about the theory and applications of derivatives (mostly partial), integrals, (mostly multiple or improper), and infinite series (mostly of functions rather than of numbers), at a deeper level than is found in the standard calculus books. KEY TOPICS: Chapter topics cover: Setting the Stage, Differential Calculus, The Implicit Function Theorem and Its Applications, Integral Calculus, Line and Surface Integrals--Vector Analysis, Infinite Series, Functions Defined by Series and Integrals, and Fourier Series. MARKET: For individuals with a sound knowledge of the mechanics of one-variable calculus and an acquaintance with linear algebra., For undergraduate courses in Advanced Calculus and Real Analysis. This text presents a unified view of calculus in which theory and practice reinforce each other. It covers the theory and applications of derivatives (mostly partial), integrals, (mostly multiple or improper), and infinite series (mostly of functions rather than of numbers), at a deeper level than is found in the standard advanced calculus books., This book presents a unified view of calculus in which theory and practice reinforces each other. It is about the theory and applications of derivatives (mostly partial), integrals, (mostly multiple or improper), and infinite series (mostly of functions rather than of numbers), at a deeper level than is found in the standard calculus books. Chapter topics cover: Setting the Stage, Differential Calculus, The Implicit Function Theorem and Its Applications, Integral Calculus, Line and Surface Integrals--Vector Analysis, Infinite Series, Functions Defined by Series and Integrals, and Fourier Series. For individuals with a sound knowledge of the mechanics of one-variable calculus and an acquaintance with linear algebra.
LC Classification Number
QA303.2.F67 2002
Item description from the seller
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- b***7 (492)- Feedback left by buyer.Past monthVerified purchaseFast shipping, item in excellent condition. Thank you for an easy transaction!
- 1***5 (1)- Feedback left by buyer.Past monthVerified purchaseThe appearance of the book was not the same in the picture. False advertising, no sprayed gold edges.
- a***e (1423)- Feedback left by buyer.Past monthVerified purchaseexcellent book, fast shipment!
Seller feedback (515,902)
- b***7 (492)- Feedback left by buyer.Past monthVerified purchaseFast shipping, item in excellent condition. Thank you for an easy transaction!
- 1***5 (1)- Feedback left by buyer.Past monthVerified purchaseThe appearance of the book was not the same in the picture. False advertising, no sprayed gold edges.
- a***e (1423)- Feedback left by buyer.Past monthVerified purchaseexcellent book, fast shipment!