Modern Real Analysis: Graduate Texts in Mathematics, cartea 278
Autor William P. Ziemer Contribuţii de Monica Torresen Limba Engleză Hardback – 19 dec 2017
This second edition of Modern Real Analysis contains many substantial improvements, including the addition of problems for practicing techniques, and an entirely new section devoted to the relationship between Lebesgue and improper integrals. Aimed at graduate students with an understanding of advanced calculus, the text will also appeal to more experienced mathematicians as a useful reference.
Toate formatele și edițiile | Preț | Express |
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Paperback (1) | 388.67 lei 38-44 zile | |
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Hardback (1) | 398.91 lei 38-44 zile | |
Springer International Publishing – 19 dec 2017 | 398.91 lei 38-44 zile |
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Specificații
ISBN-13: 9783319646282
ISBN-10: 3319646281
Pagini: 398
Ilustrații: XI, 382 p.
Dimensiuni: 155 x 235 x 28 mm
Greutate: 0.7 kg
Ediția:2nd ed. 2017
Editura: Springer International Publishing
Colecția Springer
Seria Graduate Texts in Mathematics
Locul publicării:Cham, Switzerland
ISBN-10: 3319646281
Pagini: 398
Ilustrații: XI, 382 p.
Dimensiuni: 155 x 235 x 28 mm
Greutate: 0.7 kg
Ediția:2nd ed. 2017
Editura: Springer International Publishing
Colecția Springer
Seria Graduate Texts in Mathematics
Locul publicării:Cham, Switzerland
Cuprins
Preface.- 1. Preliminaries.- 2. Real, Cardinal and Ordinal Numbers.- 3. Elements of Topology.- 4. Measure Theory.- 5. Measurable Functions.- 6. Integration.- 7. Differentiation.- 8. Elements of Functional Analysis.- 9. Measures and Linear Functionals.- 10. Distributions.- 11. Functions of Several Variables.- Bibliography.- Index.
Recenzii
“This book provides an accessible self-contained introduction to modern real analysis suitable for graduate students with an understanding of advanced calculus. It may also provide a useful reference for more experienced mathematicians. The focus of the book is on measure and integration, which are nicely connected to closely related topics such as bounded variations and absolutely continuous functions representations theorems for linear functionals, Sovolev spaces and distribution.” (Gareth Speight, Mathematical Reviews, October, 2018)
Notă biografică
William P. Ziemer is Professor Emeritus of Mathematics at Indiana University, and is the author of the highly influential GTM (vol. 120), Weakly Differentiable Functions.
Monica Torres is Associate Professor of Mathematics at Purdue University, specializing in geometric measure theory and partial differential equations.
Monica Torres is Associate Professor of Mathematics at Purdue University, specializing in geometric measure theory and partial differential equations.
Textul de pe ultima copertă
This first year graduate text is a comprehensive resource in real analysis based on a modern treatment of measure and integration. Presented in a definitive and self-contained manner, it features a natural progression of concepts from simple to difficult. Several innovative topics are featured, including differentiation of measures, elements of Functional Analysis, the Riesz Representation Theorem, Schwartz distributions, the area formula, Sobolev functions and applications to harmonic functions. Together, the selection of topics forms a sound foundation in real analysis that is particularly suited to students going on to further study in partial differential equations.
This second edition of Modern Real Analysis contains many substantial improvements, including the addition of problems for practicing techniques, and an entirely new section devoted to the relationship between Lebesgue and improper integrals. Aimed at graduate students with an understanding of advanced calculus, the text will also appeal to more experienced mathematicians as a useful reference.
This second edition of Modern Real Analysis contains many substantial improvements, including the addition of problems for practicing techniques, and an entirely new section devoted to the relationship between Lebesgue and improper integrals. Aimed at graduate students with an understanding of advanced calculus, the text will also appeal to more experienced mathematicians as a useful reference.
Caracteristici
Provides a foundation for further study in partial differential equations Completely self-contained text equips readers with the fundamentals of graduate real analysis New edition extensively revised and updated Supplies frequent opportunities to practice techniques