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- catalog abstract "The fundamental concept of Lebesgue integration provides a basis for approaching theoretical and applied problems in mathematics, engineering, physics and many other sciences. Lebesgue Integration presents a logical development of the basic concepts of Lebesgue's integration theorems, proceeding from the study of topological concepts on the real line. This text is intended for advanced undergraduates and beginning graduate students and is also suitable for self-study by students preparing for the masters or doctoral preliminary examination.".
- catalog contributor b7830496.
- catalog created "c1995.".
- catalog date "1995".
- catalog date "c1995.".
- catalog dateCopyrighted "c1995.".
- catalog description "Ch. 0. Preliminaries. 1. Sets. 2. Relations. 3. Countable Sets. 4. Real Numbers. 5. Topological Concepts in R. 6. Continuous Functions. 7. Metric Spaces -- Ch. I. The Riemann Integral. 1. The Cauchy Integral. 2. Fourier Series and Dirichlet's Conditions. 3. The Riemann Integral. 4. Sets of Measure Zero. 5. Existence of the Riemann Integral. 6. Deficiencies of the Riemann Integral -- Ch. II. The Lebesgue Integral: Riesz Method. 1. Step Functions and Their Integrals. 2. Two Fundamental Lemmas. 3. The Class L[superscript +]. 4. The Lebesgue Integral. 5. The Beppo Levi Theorem -- Monotone Convergence Theorem. 6. The Lebesgue Theorem -- Dominated Convergence Theorem. 7. The Space L[superscript +] -- Ch. III. Lebesgue Measure. 1. Measurable Functions. 2. Lebesgue Measure. 3. [sigma]-Algebras and Borel Sets. 4. Nonmeasurable Sets. 5. Structure of Measurable Sets. 6. More About Measurable Functions. 7. Egoroff's Theorem. 8. Steinhaus' Theorem. 9. The Cauchy Functional Equation.".
- catalog description "Includes bibliographical references (p. [249]-253) and index.".
- catalog description "The fundamental concept of Lebesgue integration provides a basis for approaching theoretical and applied problems in mathematics, engineering, physics and many other sciences. Lebesgue Integration presents a logical development of the basic concepts of Lebesgue's integration theorems, proceeding from the study of topological concepts on the real line. This text is intended for advanced undergraduates and beginning graduate students and is also suitable for self-study by students preparing for the masters or doctoral preliminary examination.".
- catalog extent "xiii, 264 p. :".
- catalog hasFormat "Lebesgue integration.".
- catalog identifier "0387943579 (New York : acid-free paper)".
- catalog identifier "3540943579 (Berlin : acid-free paper)".
- catalog isFormatOf "Lebesgue integration.".
- catalog isPartOf "Universitext".
- catalog issued "1995".
- catalog issued "c1995.".
- catalog language "eng".
- catalog publisher "New York : Springer-Verlag,".
- catalog relation "Lebesgue integration.".
- catalog subject "515/.43 20".
- catalog subject "Lebesgue integral.".
- catalog subject "Mathematics.".
- catalog subject "QA312 .C47 1995".
- catalog tableOfContents "Ch. 0. Preliminaries. 1. Sets. 2. Relations. 3. Countable Sets. 4. Real Numbers. 5. Topological Concepts in R. 6. Continuous Functions. 7. Metric Spaces -- Ch. I. The Riemann Integral. 1. The Cauchy Integral. 2. Fourier Series and Dirichlet's Conditions. 3. The Riemann Integral. 4. Sets of Measure Zero. 5. Existence of the Riemann Integral. 6. Deficiencies of the Riemann Integral -- Ch. II. The Lebesgue Integral: Riesz Method. 1. Step Functions and Their Integrals. 2. Two Fundamental Lemmas. 3. The Class L[superscript +]. 4. The Lebesgue Integral. 5. The Beppo Levi Theorem -- Monotone Convergence Theorem. 6. The Lebesgue Theorem -- Dominated Convergence Theorem. 7. The Space L[superscript +] -- Ch. III. Lebesgue Measure. 1. Measurable Functions. 2. Lebesgue Measure. 3. [sigma]-Algebras and Borel Sets. 4. Nonmeasurable Sets. 5. Structure of Measurable Sets. 6. More About Measurable Functions. 7. Egoroff's Theorem. 8. Steinhaus' Theorem. 9. The Cauchy Functional Equation.".
- catalog title "Lebesgue integration / Soo Bong Chae.".
- catalog type "text".