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A Circle-Line Study of Mathematical Analysis

Af: Simone Secchi Engelsk Paperback

A Circle-Line Study of Mathematical Analysis

Af: Simone Secchi Engelsk Paperback
Tjek vores konkurrenters priser
The book addresses the rigorous foundations of mathematical analysis. The first part presents a complete discussion of the fundamental topics: a review of naive set theory, the structure of real numbers, the topology of R, sequences, series, limits, differentiation and integration according to Riemann. The second part provides a more mature return to these topics: a possible axiomatization of set theory, an introduction to general topology with a particular attention to convergence in abstract spaces, a construction of the abstract Lebesgue integral in the spirit of Daniell, and the discussion of differentiation in normed linear spaces. The book can be used for graduate courses in real and abstract analysis and can also be useful as a self-study for students who begin a Ph.D. program in Analysis. The first part of the book may also be suggested as a second reading for undergraduate students with a strong interest in mathematical analysis.
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The book addresses the rigorous foundations of mathematical analysis. The first part presents a complete discussion of the fundamental topics: a review of naive set theory, the structure of real numbers, the topology of R, sequences, series, limits, differentiation and integration according to Riemann. The second part provides a more mature return to these topics: a possible axiomatization of set theory, an introduction to general topology with a particular attention to convergence in abstract spaces, a construction of the abstract Lebesgue integral in the spirit of Daniell, and the discussion of differentiation in normed linear spaces. The book can be used for graduate courses in real and abstract analysis and can also be useful as a self-study for students who begin a Ph.D. program in Analysis. The first part of the book may also be suggested as a second reading for undergraduate students with a strong interest in mathematical analysis.
Produktdetaljer
Sprog: Engelsk
Sider: 469
ISBN-13: 9783031197376
Indbinding: Paperback
Udgave:
ISBN-10: 3031197372
Udg. Dato: 16 mar 2023
Længde: 27mm
Bredde: 235mm
Højde: 153mm
Forlag: Springer International Publishing AG
Oplagsdato: 16 mar 2023
Forfatter(e): Simone Secchi
Forfatter(e) Simone Secchi


Kategori Regning og matematisk analyse


ISBN-13 9783031197376


Sprog Engelsk


Indbinding Paperback


Sider 469


Udgave


Længde 27mm


Bredde 235mm


Højde 153mm


Udg. Dato 16 mar 2023


Oplagsdato 16 mar 2023


Forlag Springer International Publishing AG

Kategori sammenhænge