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Analysis I (Texts and Readings in Mathematics, Band 37) - Hardcover

Buch 27 von 33: Texts and Readings in Mathematics

Tao, Terence

 
9789380250649: Analysis I (Texts and Readings in Mathematics, Band 37)
Hardcover
ISBN 10: 9380250649 ISBN 13: 9789380250649
Verlag: Hindustan Book Agency, 2014

Inhaltsangabe

Thisis part one of a two-volume book on real analysis and is intended for seniorundergraduate students of mathematics who have already been exposed tocalculus. The emphasis is on rigour and foundations of analysis. Beginning withthe construction of the number systems and set theory, the book discusses thebasics of analysis (limits, series, continuity, differentiation, Riemannintegration), through to power series, several variable calculus and Fourieranalysis, and then finally the Lebesgue integral. These are almost entirely setin the concrete setting of the real line and Euclidean spaces, although thereis some material on abstract metric and topological spaces. The book also has appendiceson mathematical logic and the decimal system. The entire text (omitting someless central topics) can be taught in two quarters of 25–30 lectures each. Thecourse material is deeply intertwined with the exercises, as it is intendedthat the student actively learn the material (and practice thinking and writingrigorously) by proving several of the key results in the theory.

Die Inhaltsangabe kann sich auf eine andere Ausgabe dieses Titels beziehen.

Über die Autorin bzw. den Autor

Terence "Terry" Chi-ShenTao, FAA FRS, is an Australian mathematician.His areas of interests are in harmonic analysis, partial differential equations, algebraiccombinatorics, arithmetic combinatorics, geometriccombinatorics, compressedsensing and analyticnumber theory. As of 2015, he holds the James and Carol Collins chair inmathematics at the University of California, Los Angeles.Professor Tao is a co-recipient of the 2006 Fields Medal andthe 2014 Breakthrough Prize in Mathematics.He maintains a personal mathematics blog, which has been describedby TimothyGowers as “the undisputed king of all mathematics blogs”.

Von der hinteren Coverseite

Thisis part one of a two-volume book on real analysis and is intended for seniorundergraduate students of mathematics who have already been exposed tocalculus. The emphasis is on rigour and foundations of analysis. Beginning withthe construction of the number systems and set theory, the book discusses thebasics of analysis (limits, series, continuity, differentiation, Riemannintegration), through to power series, several variable calculus and Fourieranalysis, and then finally the Lebesgue integral. These are almost entirely setin the concrete setting of the real line and Euclidean spaces, although thereis some material on abstract metric and topological spaces. The book also has appendiceson mathematical logic and the decimal system. The entire text (omitting someless central topics) can be taught in two quarters of 25 30 lectures each. Thecourse material is deeply intertwined with the exercises, as it is intendedthat the student actively learn the material (and practice thinking and writingrigorously) by proving several of the key results in the theory.

„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.

Verlag
Hindustan Book Agency
Erscheinungsdatum
2014
Sprache
Englisch
ISBN 10 
9380250649
ISBN 13 
9789380250649
Einband
Gebundene Ausgabe
Auflage
3
Anzahl der Seiten
347
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
Nicht verfügbar