Elementary Classical Analysis, 2nd Edition By Jerrold E. Marsden & Michael J.

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Estado
En muy buen estado: Libro que se ha leído y que no tiene un aspecto nuevo, pero que está en un ...
Book Title
Elementary Classical Analysis, 2nd Edition
ISBN-10
0716721058
Genre
MATHEMATICS
ISBN
9780716721055
Categoría

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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
Publication Year
1993
Subject
General, Physics / General
Type
Textbook
Subject Area
Mathematics, Science
Author
Michael Hoffman, Jerrold Marsden
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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