A Course in Mathematical Analysis: Volume 2, Metric and Topological Spaces, Functions of a Vector Variable

Nonfiction, Science & Nature, Mathematics, Topology, Mathematical Analysis
Cover of the book A Course in Mathematical Analysis: Volume 2, Metric and Topological Spaces, Functions of a Vector Variable 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: 9781107357921
Publisher: Cambridge University Press Publication: January 23, 2014
Imprint: Cambridge University Press Language: English
Author: D. J. H. Garling
ISBN: 9781107357921
Publisher: Cambridge University Press
Publication: January 23, 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 their 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 teachers. Volume 1 focuses on the analysis of real-valued functions of a real variable. This second volume goes on to consider metric and topological spaces. Topics such as completeness, compactness and connectedness are developed, with emphasis on their applications to analysis. This leads to the theory of functions of several variables. Differential manifolds in Euclidean space are introduced in a final chapter, which includes an account of Lagrange multipliers and a detailed proof of the divergence theorem. Volume 3 covers complex analysis and the theory of measure and integration.

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 their 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 teachers. Volume 1 focuses on the analysis of real-valued functions of a real variable. This second volume goes on to consider metric and topological spaces. Topics such as completeness, compactness and connectedness are developed, with emphasis on their applications to analysis. This leads to the theory of functions of several variables. Differential manifolds in Euclidean space are introduced in a final chapter, which includes an account of Lagrange multipliers and a detailed proof of the divergence theorem. Volume 3 covers complex analysis and the theory of measure and integration.

More books from Cambridge University Press

Cover of the book The Roman West, AD 200–500 by D. J. H. Garling
Cover of the book Radiology for Anaesthesia and Intensive Care by D. J. H. Garling
Cover of the book Shakespeare's Stage Traffic by D. J. H. Garling
Cover of the book A First Course in Optimization Theory by D. J. H. Garling
Cover of the book Against Injustice by D. J. H. Garling
Cover of the book The Psychology of Musical Development by D. J. H. Garling
Cover of the book The Neuroscience of Intelligence by D. J. H. Garling
Cover of the book Innovative Vaulting in the Architecture of the Roman Empire by D. J. H. Garling
Cover of the book MRI-Negative Epilepsy by D. J. H. Garling
Cover of the book The Cambridge Companion to Descartes’ Meditations by D. J. H. Garling
Cover of the book Entertainment Industry Economics by D. J. H. Garling
Cover of the book Choices, Values, and Frames by D. J. H. Garling
Cover of the book Slaves to Rome by D. J. H. Garling
Cover of the book Curating Revolution by D. J. H. Garling
Cover of the book The Militant Face of Democracy 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