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Elementary Classical Analysis, 2nd Edition By Jerrold E. Marsden & Michael J.
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Located in: Merritt Island, Florida, United States
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eBay item number:127476643017
Item specifics
- Condition
- Book Title
- Elementary Classical Analysis, 2nd Edition
- ISBN-10
- 0716721058
- Genre
- MATHEMATICS
- ISBN
- 9780716721055
About this product
Product Identifiers
Publisher
Freeman & Company, W&H
ISBN-10
0716721058
ISBN-13
9780716721055
eBay Product ID (ePID)
339055
Product Key Features
Number of Pages
752 Pages
Publication Name
Elementary Classical Analysis
Language
English
Subject
General, Physics / General
Publication Year
1993
Type
Textbook
Subject Area
Mathematics, Science
Format
Hardcover
Dimensions
Item Height
1.5 in
Item Weight
44.9 Oz
Item Length
9.5 in
Item Width
6.9 in
Additional Product Features
Edition Number
2
Intended Audience
College Audience
LCCN
92-041432
Dewey Edition
22
Illustrated
Yes
Dewey Decimal
515
Table Of Content
1. Introduction: Sets and Functions Supplement on the Axioms of Set Theory 2. The Real Line and Euclidean Space Ordered Fields and the Number Systems Completeness and the Real Number System Least Upper Bounds Cauchy Sequences Cluster Points: lim inf and lim sup Euclidean Space Norms, Inner Products, and Metrics The Complex Numbers 3. Topology of Euclidean Space Open Sets Interior of a Set Closed Sets Accumulation Points Closure of a Set Boundary of a Set Sequences Completeness Series of Real Numbers and Vectors 4. Compact and Connected Sets Compacted-ness The Heine-Borel Theorem Nested Set Property Path-Connected Sets Connected Sets 5. Continuous Mappings Continuity Images of Compact and Connected Sets Operations on Continuous Mappings The Boundedness of Continuous Functions of Compact Sets The Intermediate Value Theorem Uniform Continuity Differentiation of Functions of One Variable Integration of Functions of One Variable 6. Uniform Convergence Pointwise and Uniform Convergence The Weierstrass M Test Integration and Differentiation of Series The Elementary Functions The Space of Continuous Functions The Arzela-Ascoli Theorem The Contraction Mapping Principle and Its Applications The Stone-Weierstrass Theorem The Dirichlet and Abel Tests Power Series and Cesaro and Abel Summability 7. Differentiable Mappings Definition of the Derivative Matrix Representation Continuity of Differentiable Mappings; Differentiable Paths Conditions for Differentiability The Chain Rule Product Rule and Gradients The Mean Value Theorem Taylors Theorem and Higher Derivatives Maxima and Minima 8. The Inverse and Implicit Function Theorems and Related Topics Inverse Function Theorem Implicit Function Theorem The Domain-Straightening Theorem Further Consequences of the Implicit Function Theorem An Existence Theorem for Ordinary Differential Equations The Morse Lemma Constrained Extrema and Lagrange Multipliers 9. Integration Integrable Functions Volume and Sets of Measure Zero Lebesgues Theorem Properties of the Integral Improper Integrals Some Convergence Theorems Introduction to Distributions 10. Fubinis Theorem and the Change of Variables Formula Introduction Fubinis Theorem Change of Variables Theorem Polar Coordinates Spherical Coordinates and Cylindrical Coordinates A Note on the Lebesgue Integral Interchange of Limiting Operations 11. Fourier Analysis Inner Product Spaces Orthogonal Families of Functions Completeness and Convergence Theorems Functions of Bounded Variation and Fejér Theory (Optional) Computation of Fourier Series Further Convergence Theorems Applications Fourier Integrals Quantum Mechanical Formalism Miscellaneous Exercises References Answers to Selected Odd-Numbered Exercises Index
Synopsis
Balancing pure and applied mathematics with an emphasis on specific techniques important to classical analysis, Elementary Classical Analysis provides coverage of the math without vector calculus or complex analysis.
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- t***h (63)- Feedback left by buyer.Past 6 monthsVerified purchaseGreat experience. Shipped fast. Packaged well and arrived as described.Vintage RCA Nipper Handheld HMV Harp Microphone "His Master's Voice" 1950s Rare (#127252324837)
Seller feedback (80)
- e***e (200)- Feedback left by buyer.Past 6 monthsVerified purchaseSeller sent the wrong head cover. But made it right and sent me the correct one and just told me to keep the one he sent by accident. Good communication and saved me a lot of stress.Titleist 910D Golf Club Headcover For Drivers And Woods Oversized As Well (#127214815122)
- r***r (125)- Feedback left by buyer.Past 6 monthsVerified purchaseThis seller packed the items nicely and shipped them promptly. They are very fragile but arrived safe and sound and nicer than described. Kudos to the seller.
- t***h (63)- Feedback left by buyer.Past 6 monthsVerified purchaseGreat experience. Shipped fast. Packaged well and arrived as described.Vintage RCA Nipper Handheld HMV Harp Microphone "His Master's Voice" 1950s Rare (#127252324837)