A Course in Mathematical Analysis: Volume 3, Complex Analysis, Measure and Integration

Nonfiction, Science & Nature, Mathematics, Mathematical Analysis
Cover of the book A Course in Mathematical Analysis: Volume 3, Complex Analysis, Measure and Integration by D. J. H. Garling, Cambridge University Press
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: D. J. H. Garling ISBN: 9781107702837
Publisher: Cambridge University Press Publication: May 22, 2014
Imprint: Cambridge University Press Language: English
Author: D. J. H. Garling
ISBN: 9781107702837
Publisher: Cambridge University Press
Publication: May 22, 2014
Imprint: Cambridge University Press
Language: English

The three volumes of A Course in Mathematical Analysis provide a full and detailed account of all those elements of real and complex analysis that an undergraduate mathematics student can expect to encounter in the first two or three years of study. Containing hundreds of exercises, examples and applications, these books will become an invaluable resource for both students and instructors. Volume 1 focuses on the analysis of real-valued functions of a real variable. Volume 2 goes on to consider metric and topological spaces. This third volume develops the classical theory of functions of a complex variable. It carefully establishes the properties of the complex plane, including a proof of the Jordan curve theorem. Lebesgue measure is introduced, and is used as a model for other measure spaces, where the theory of integration is developed. The Radon–Nikodym theorem is proved, and the differentiation of measures discussed.

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

The three volumes of A Course in Mathematical Analysis provide a full and detailed account of all those elements of real and complex analysis that an undergraduate mathematics student can expect to encounter in the first two or three years of study. Containing hundreds of exercises, examples and applications, these books will become an invaluable resource for both students and instructors. Volume 1 focuses on the analysis of real-valued functions of a real variable. Volume 2 goes on to consider metric and topological spaces. This third volume develops the classical theory of functions of a complex variable. It carefully establishes the properties of the complex plane, including a proof of the Jordan curve theorem. Lebesgue measure is introduced, and is used as a model for other measure spaces, where the theory of integration is developed. The Radon–Nikodym theorem is proved, and the differentiation of measures discussed.

More books from Cambridge University Press

Cover of the book Exceptionalism and Industrialisation by D. J. H. Garling
Cover of the book The Cambridge Introduction to Chaucer by D. J. H. Garling
Cover of the book Linguistics in Pursuit of Justice by D. J. H. Garling
Cover of the book The Cambridge Companion to Moliere by D. J. H. Garling
Cover of the book Mass Appeal by D. J. H. Garling
Cover of the book The Cambridge Companion to Brian Friel by D. J. H. Garling
Cover of the book Applied Anatomy for Anaesthesia and Intensive Care by D. J. H. Garling
Cover of the book The Cosmopolitan First Amendment by D. J. H. Garling
Cover of the book Slavery and Slaving in African History by D. J. H. Garling
Cover of the book Introduction to Space Physics by D. J. H. Garling
Cover of the book Reassessing Jewish Life in Medieval Europe by D. J. H. Garling
Cover of the book Moral Jeopardy by D. J. H. Garling
Cover of the book Innovation on Demand by D. J. H. Garling
Cover of the book Neuropathic Pain by D. J. H. Garling
Cover of the book European Union Law by D. J. H. Garling
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