A Course in Mathematical Analysis: Volume 1, Foundations and Elementary Real Analysis

Synopsis

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. Volume I 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-- V. 1. Foundations And Elementary Real Analysis -- V. 2. Metric And Topological Spaces, Functions Of A Vector Variable -- V. 3. Complex Analysis, Measure And Integration. D.j.h. Garling, Emeritus Reader In Mathematical Analysis, University Of Cambridge, And Fellow Of St. John's College, Cambridge. Includes Index. V. 1. Foundations And Elementary Real Analysis Includes Bibliographical References And Index.