Elementary Classical Analysis
Autor Jerrold Marsden, Michael Hoffmanen Limba Engleză Hardback – 15 mar 1993
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Specificații
ISBN-13: 9780716721055
ISBN-10: 0716721058
Pagini: 752
Ilustrații: 135 illustrations
Dimensiuni: 174 x 242 x 40 mm
Greutate: 1.22 kg
Ediția:Nouă
Editura: W. H. Freeman
Locul publicării:New York, United States
ISBN-10: 0716721058
Pagini: 752
Ilustrații: 135 illustrations
Dimensiuni: 174 x 242 x 40 mm
Greutate: 1.22 kg
Ediția:Nouă
Editura: W. H. Freeman
Locul publicării:New York, United States
Cuprins
Introduction: Sets and Functions
The Real Line and Euclidean Space
Topology of Euclidean Space
Compact and Connected Sets
Continuous Mappings
Uniform Convergence
Differentiable Mappings
The Inverse and Implicit Function Theorems and Related Topics
Fubini's Theorem and the Change of Variables Formula
Fourier Analysis
Answers to Selected Exercises
Index
The Real Line and Euclidean Space
Topology of Euclidean Space
Compact and Connected Sets
Continuous Mappings
Uniform Convergence
Differentiable Mappings
The Inverse and Implicit Function Theorems and Related Topics
Fubini's Theorem and the Change of Variables Formula
Fourier Analysis
Answers to Selected Exercises
Index
Notă biografică
Jerrold E. Marsden and Michael J. Hoffman
Descriere
Designed for courses in advanced calculus and introductory real analysis, Elementary Classical Analysis, 2/e strikes a balance between pure and applied mathematics, with the emphasis on techniques important to classical analysis, without vector calculus or complex analysis. The book includes detailed coverage of the foundations of the real number system and focuses primarily on analysis in Euclidean space with a view towards application. It is aimed at students in engineering and the physical sciences as well as pure mathematics.
"Each chapter is organized to deal with mastering concepts before attempting technical proofs. Lots of exercises of varying degrees of difficulty. An excellent text." American Mathematical Monthly
"Each chapter is organized to deal with mastering concepts before attempting technical proofs. Lots of exercises of varying degrees of difficulty. An excellent text." American Mathematical Monthly