Real Analysis : Measure and Integration

Lingua: inglese

Editore: De Gruyter Aug 2026, 2026

3112247736 / 9783112247730

Da: AHA-BUCH GmbH, Einbeck, GermaniaAHA-BUCH GmbH

Venditore con 5 stelle

Venditore AbeBooks dal 14 agosto 2006

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Descrizione dell’articolo da parte del venditore

Neuware - This is the 2nd, revised and upgraded edition of the book whose philosophy makes it quite distinct from many existing texts on the subject. It is based on treating the concepts of measure and integration starting with the most general abstract setting and then introducing and studying the Lebesgue measure and integration on the real line as an important particular case.The book consists of nine chapters and appendix, with the material flowing from the basic set classes, through_measures, outer measures and the general procedure of measure extension, through measurable functions_and_various types of convergence of sequences of such based on the idea of measure, to the fundamentals of the abstract Lebesgue integration, the basic limit theorems, and the comparison of the Lebesgue and Riemann integrals. The novel approach based on the Lebesgue measure and integration theory is applied to develop a better understanding of differentiation and extend the classical total change formula linking differentiation with integration to a substantially wider class of functions.Being designed as a text to be used in a classroom, the book constantly calls for the student's actively mastering the knowledge of the subject matter. There are problems at the end of each chapter, starting with Chapter 2 and totaling at 129. Many important statements are given as problems and frequently referred to in the main body. There are also 364 Exercises throughout the text, including Chapter 1 and the Appendix, which require of the student to prove or verify a statement or an example, fill in certain details in a proof, or provide an intermediate step or a counterexample. They are also an inherent part of the material. More difficult problems are marked with an asterisk, many problems and exercises are supplied with 'existential'' hints._The book is generous on Examples and contains numerous Remarks accompanying definitions, examples, and statements to discuss certain subtleties, raise questions on whether the converse assertions are true, whenever appropriate, or whether the conditions are essential._ __With plenty of examples, problems, and exercises, this well-designed text is ideal for a one-semester Master's level graduate course on real analysis with emphasis on the measure and integration theory for students majoring in mathematics, physics, computer science, and engineering._A concise but profound and detailed presentation of the basics of real analysis with emphasis on the measure and integration theory.Designed for a one-semester graduate course, with plethora of examples, problems, and exercises.Is of interest to students and instructors in mathematics, physics, computer science, and engineering.Prepares the students for more advanced courses in functional analysis and operator theory.…

Codice articolo 9783112247730

Titolo
Real Analysis : Measure and Integration
Autore
Marat V. Markin
Editore
De Gruyter Aug 2026
Anno di pubblicazione
2026
Condizione
Neu
Rilegatura
Taschenbuch
Lingua
inglese
ISBN 10
3112247736
ISBN 13
9783112247730
Peso dell'articolo
633 grammi
Dimensioni
240x170x36 mm

AHA-BUCH GmbH

Einbeck, Germania

Venditore con 5 stelle

Venditore AbeBooks dal 14 agosto 2006

Tariffe di spedizione da Germania a U.S.A.

ArticoloDa 7 a 10 giorni lavorativiDa 5 a 7 giorni lavorativi
Primo articoloEUR 35,00EUR 45,00
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Einbeck, Germania 37574

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