Analysis Volume IV introduces the reader to functional analysis (integration, Hilbert spaces, harmonic analysis in group theory) and to the methods of the theory of modular functions (theta and L series, elliptic functions, use of the Lie algebra of SL2). As in volumes I to III, the inimitable style of the author is recognizable here too, not only because of his refusal to write in the compact style used nowadays in many textbooks. The first part (Integration), a wise combination of mathematics said to be `modern' and `classical', is universally useful whereas the second part leads the reader towards a very active and specialized field of research, with possibly broad generalizations.
- ISBN13 9783319169064
- Publish Date 13 May 2015
- Publish Status Active
- Publish Country CH
- Imprint Springer International Publishing AG
- Edition 2015 ed.
- Format Paperback
- Pages 527
- Language English