Analysis (1) - Couverture rigide

Tao, Terence

Couverture rigide

ISBN 10 : 8195196195 ISBN 13 : 9788195196197

Editeur : Hindustan Book Agency, 2022

Synopsis

This is part one of a two-volume introduction to real analysis and is intended for honours undergraduates who have already been exposed to calculus. The emphasis is on rigour and on foundations. The material starts at the very beginning--the construction of the number systems and set theory--then goes on to the basics of analysis (limits, series, continuity, differentiation, Riemann integration), through to power series, several variable calculus and Fourier analysis, and finally to the Lebesgue integral. These are almost entirely set in the concrete setting of the real line and Euclidean spaces, although there is some material on abstract metric and topological spaces. There are also appendices on mathematical logic and the decimal system. The entire text (omitting some less central topics) can be taught in two quarters of twenty-five to thirty lectures each.

The course material is deeply intertwined with the exercises, as it is intended that the student actively learn the material (and practice thinking and writing rigorously) by proving several of the key results in the theory.

The fourth edition incorporates a large number of additional corrections reported since the release of the third edition, as well as some additional new exercises.

Détails de l'édition

• Éditeur: Hindustan Book Agency
• Date d'édition: 2022
• Langue: anglais
• ISBN 10: 8195196195
• ISBN 13: 9788195196197
• Reliure: Relié
• Numéro d'édition: 4
• Nombre de pages: 376
• Coordonnées du fabricant: non disponible
• Personne responsable: non disponible