TY  - BOOK
AU  - Choimet,Denis
AU  - Queffélec,Hervé
AU  - Monerau,Michaël
AU  - Gibbons,Danièle
AU  - Gibbons,Greg
TI  - Twelve landmarks of twentieth-century analysis
SN  - 9781107445017 (ebook)
AV  - QA300 .C45413 2015
U1  - 515 23
PY  - 2015///
CY  - Cambridge
PB  - Cambridge University Press
KW  - Mathematical analysis
KW  - Banach algebras
KW  - Harmonic analysis
N1  - Originally published in French as: Analyse mathématique. Grands théorèmes du vingtième siècle (Montrouge (Hauts-de-Seine) : Calvage et Mounet, 2009); Title from publisher's bibliographic system (viewed on 05 Oct 2015)
N2  - The striking theorems showcased in this book are among the most profound results of twentieth-century analysis. The authors' original approach combines rigorous mathematical proofs with commentary on the underlying ideas to provide a rich insight into these landmarks in mathematics. Results ranging from the proof of Littlewood's conjecture to the Banach-Tarski paradox have been selected for their mathematical beauty as well as educative value and historical role. Placing each theorem in historical perspective, the authors paint a coherent picture of modern analysis and its development, whilst maintaining mathematical rigour with the provision of complete proofs, alternative proofs, worked examples, and more than 150 exercises and solution hints. This edition extends the original French edition of 2009 with a new chapter on partitions, including the Hardy-Ramanujan theorem, and a significant expansion of the existing chapter on the Corona problem
UR  - https://doi.org/10.1017/CBO9781107445017
ER  -