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A First Course in Integration by Edgar Asplund, Lutz Bungart is a nonfiction available to read on EtoBox.

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Cover A FIRST COURSE IN INTEGRATION COPYRIGHT © 1966 BY HOLT, RINEHART AND WINSTON, INC LCCN 20550-0116 Preface Contents 1 Step Functions and Null Sets 1.0 THE REAL LINE 1.1 STEP FUNCTIONS AND THEIR INTEGRALS 1.2 BASIC PROPERTIES OF THE INTEGRAL 1.3 NULL SETS 1.4 EXAMPLES 1.5 CONVERGENCE ALMOST EVERYWHERE 1.6 EXERCISES A. Step Functions and Their Integral B. Null Sets C. Convergence D. Piecewise Linear Functions SUMMARY 2 The Lebesgue Integral 2.0 THE RIEMANN INTEGRAL FOR CONTINUOUS FUNCTIONS 2.1 LEBESGUE INTEGRABLE FUNCTIONS 2.2 BASIC PROPERTIES OF THE LEBESGUE INTEGRAL 2.3 CONVERGENCE THEOREMS 2.4 APPLICATIONS 2.5 THE DANIELL INTEGRAL 2.6 RIEMANN INTEGRABLE FUNCTIONS 2.7 EXERCISES A. Basic Properties of Lebesgue Integrable Functions B. Problems on Limits (Abstract) C. Problems on Limits (Concrete) D. Product of Functions E. Improper Riemann Integration G. The Daniell Integral SUMMARY BEPPO LEVI'S THEOREM MONOTONE CONVERGENCE THEOREM LEBESGUE'S DOMINATED CONVERGENCE THEOREM FATOU'S LEMMA C0MPAJUs0N THEOREM 3 Measurability 3.1 MEASURABLE FUNCTIONS 3.2 GENERALIZED STEP FUNCTIONS 3.3 MEASURABLE SETS EGOROFF'S THEOREM STEINHAUS THEOREM 3.4 AXIOMATIC MEASURE THEORY 3.5 OUTER MEASURE

Who reads A First Course in Integration?

Author

Edgar Asplund, Lutz Bungart

Publisher

Holt, Rinehart and Wilson

Published

1966

Language

EN

ISBN

9780030531453

Category

nonfiction