The main topics of this book are convergence and topologization. Integration on a compact interval on the real line is treated with Riemannian sums for various integration bases. General results are specified to a spectrum of integrations, including Lebesgue integration, the Denjoy integration in the restricted sense, the integrations introduced by Pfeffer and by Bongiorno, and many others. Morever, some relations between integration and differentiation are made clear.The book is self-contained. It is of interest to specialists in the field of real functions, and it can also be read by students, since only the basics of mathematical analysis and vector spaces are required.
Reihe
Sprache
Verlagsort
Zielgruppe
Für höhere Schule und Studium
Für Beruf und Forschung
Produkt-Hinweis
Maße
Höhe: 231 mm
Breite: 155 mm
Dicke: 13 mm
Gewicht
ISBN-13
978-981-238-046-3 (9789812380463)
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Schweitzer Klassifikation
Jaroslav Kurzweil is a professor at the Mathematical Institute of the Academy of Sciences of the Czech Republic. He is also the author of the other five books and has published 105 original papers. He is now retired but remained the Chairman of the Accreditation Commission of the institute and Chairman of the Union of Czech Mathematicians and Physicists. He was elected as the Honorary Foreign Fellow of the Royal Society of Edinburgh in 1978 and Corresponding Member of the Academie Royale de Belgique, Classe des Sciences.
Autor*in
Academy Of Sciences, Czech Republic
Contents: Basic Concepts and Properties of y-Integration; Convergence; Convergence and Locally Convex Spaces; An Auxiliary Locally Convex Space; L-Integration; M-Integration; Noncompleteness; S-Integration; R-Integration; An Extension of the Concept of y-Integration; Differentiation and Integration.
