Strange Functions in Real Analysis

Nonfiction, Science & Nature, Mathematics, Set Theory, Functional Analysis
Cover of the book Strange Functions in Real Analysis by CRC Press, CRC Press
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: CRC Press ISBN: 9781351650519
Publisher: CRC Press Publication: October 16, 2017
Imprint: Chapman and Hall/CRC Language: English
Author: CRC Press
ISBN: 9781351650519
Publisher: CRC Press
Publication: October 16, 2017
Imprint: Chapman and Hall/CRC
Language: English

Strange Functions in Real Analysis, Third Edition differs from the previous editions in that it includes five new chapters as well as two appendices. More importantly, the entire text has been revised and contains more detailed explanations of the presented material. In doing so, the book explores a number of important examples and constructions of pathological functions.

After introducing basic concepts, the author begins with Cantor and Peano-type functions, then moves effortlessly to functions whose constructions require what is essentially non-effective methods. These include functions without the Baire property, functions associated with a Hamel basis of the real line and Sierpinski-Zygmund functions that are discontinuous on each subset of the real line having the cardinality continuum.

Finally, the author considers examples of functions whose existence cannot be established without the help of additional set-theoretical axioms. On the whole, the book is devoted to strange functions (and point sets) in real analysis and their applications.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

Strange Functions in Real Analysis, Third Edition differs from the previous editions in that it includes five new chapters as well as two appendices. More importantly, the entire text has been revised and contains more detailed explanations of the presented material. In doing so, the book explores a number of important examples and constructions of pathological functions.

After introducing basic concepts, the author begins with Cantor and Peano-type functions, then moves effortlessly to functions whose constructions require what is essentially non-effective methods. These include functions without the Baire property, functions associated with a Hamel basis of the real line and Sierpinski-Zygmund functions that are discontinuous on each subset of the real line having the cardinality continuum.

Finally, the author considers examples of functions whose existence cannot be established without the help of additional set-theoretical axioms. On the whole, the book is devoted to strange functions (and point sets) in real analysis and their applications.

More books from CRC Press

Cover of the book Automotive Technician Training: Theory by CRC Press
Cover of the book Soil Mechanics by CRC Press
Cover of the book Cloud Computing by CRC Press
Cover of the book Oceanography and Marine Biology by CRC Press
Cover of the book Clinical Microbiology by CRC Press
Cover of the book Tidal Hydraulic Engineering by CRC Press
Cover of the book Biochemistry of Women Methods by CRC Press
Cover of the book Revival: The Handbook of Software for Engineers and Scientists (1995) by CRC Press
Cover of the book Toyota by Toyota by CRC Press
Cover of the book Dictionary of Plant Genetics and Molecular Biology by CRC Press
Cover of the book Fitting the Human by CRC Press
Cover of the book Face It by CRC Press
Cover of the book Liquid and Vapour Flows in Porous Bodies by CRC Press
Cover of the book Advances in Chromatography by CRC Press
Cover of the book Tumors and Cancers by CRC Press
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy