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Lecture Notes in Real Analysis: Compact Textbooks in Mathematics

Autor Xiaochang Wang
en Limba Engleză Paperback – 29 noi 2018
This compact textbook is a collection of the author’s lecture notes for a two-semester graduate-level real analysis course.  While the material covered is standard, the author’s approach is unique in that it combines elements from both Royden’s and Folland’s classic texts to provide a more concise and intuitive presentation.  Illustrations, examples, and exercises are included that present Lebesgue integrals, measure theory, and topological spaces in an original and more accessible way, making difficult concepts easier for students to understand.  This text can be used as a supplementary resource or for individual study.   
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Specificații

ISBN-13: 9783319989556
ISBN-10: 3319989553
Pagini: 179
Ilustrații: XIII, 207 p. 23 illus., 22 illus. in color.
Dimensiuni: 155 x 235 mm
Greutate: 0.45 kg
Ediția:1st ed. 2018
Editura: Springer International Publishing
Colecția Birkhäuser
Seria Compact Textbooks in Mathematics

Locul publicării:Cham, Switzerland

Cuprins

Prologue.- Measures.- Integrations.- Signed Measures and Differentiation.- Topology: A Generalization of Open Sets.- Elements of Functional Analysis.- Lp Spaces.


Recenzii

“The presentation of the chosen material is precise and intuitive. … This concise textbook may be useful for students in their self-learning, and for teachers who prepare systematic lectures on real analysis.” (Marek Balcerzak, Mathematical Reviews, July, 2019)

“The resulting book, that also features several examples and exercise problems to illustrate key concepts, is very clear and pleasant to read. In my opinion, the author fully successes in, using his own words, ‘helping students to see that the Lebesgue measure and integration, and therefore the general measure theory, come naturally from the process of fixing the flaws of Riemann integrals’.” (Emma D’Aniello, zbMATH 1423.26003, 2019)

Notă biografică

Xiaochang Wang is a professor in the Department of Mathematics at Texas Tech University.

Textul de pe ultima copertă

This compact textbook is a collection of the author’s lecture notes for a two-semester graduate-level real analysis course.  While the material covered is standard, the author’s approach is unique in that it combines elements from both Royden’s and Folland’s classic texts to provide a more concise and intuitive presentation.  Illustrations, examples, and exercises are included that present Lebesgue integrals, measure theory, and topological spaces in an original and more accessible way, making difficult concepts easier for students to understand.  This text can be used as a supplementary resource or for individual study.   

Caracteristici

Presents graduate-level material in a compact, more intuitive manner Combines elements from two classic Real Analysis textbooks to provide a more concise approach to the material Includes several color illustrations to aid in the explanation of more difficult concepts