A Course in Mathematical Analysis. Volume III: Complex...

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A Course in Mathematical Analysis....

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

Name: A Course in Mathematical Analysis. Volume III: Complex Analysis, Measure and Integration
ISBN: 9781107663305

D.J.H. Garling

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Main subject categories: • Complex analysis • Measure theory • Holomorphic functions and analytic functions • Topology of the complex plane • Complex integration • Zeros and singularities • Calculus of residues • Conformal transformations • Lebesgue measure on R • Measurable spaces • Measurable functions • Integration • Constructing measures • Signed measures • Complex measures • Measures on metric spaces • Differentiation

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 instructors.

This first volume focuses on the analysis of real-valued functions of a real variable. Besides developing the basic theory it describes many applications, including a chapter on Fourier series. It also includes a Prologue in which the author introduces the axioms of set theory and uses them to construct the real number system.

Volume II goes on to consider metric and topological spaces and functions of several variables.

Volume III covers complex analysis and the theory of measure and integration.

Κατηγορίες:

Mathematics - Analysis

Τόμος:

III

Έτος:

2014

Έκδοση:

Εκδότης:

Cambridge University Press [CUP]

Γλώσσα: