Twelve Landmarks of Twentieth-Century Analysis - Rilegato

Choimet, D.; Queffélec, H.

Rilegato

ISBN 10: 1107059453 ISBN 13: 9781107059450

Casa editrice: Cambridge University Press, 2015

Riassunto

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.

Su questo libro

Descrizione del libro:

The authors combine rigorous mathematical proofs with commentary on the underlying ideas to provide a rich insight into some of the most profound results of twentieth-century analysis. This English edition contains a new chapter on partitions and significantly expands the existing chapter on the Corona problem.

L'autore:

D. Choimet has spent all of his academic career in the French 'Classes Préparatoires', an intensive two-year undergraduate programme leading to a nation-wide competitive examination for enrolment in one of the 'Grandes Écoles'. He currently teaches at the Lycée du Parc in Lyon, preparing students for the Écoles Normales Supérieures, the École Polytechnique and many graduate engineering schools. Choimet is also a member of the jury of the 'Agrégation', a competitive examination leading to professorship positions.

Su questa edizione

• Editore: Cambridge University Press
• Data di pubblicazione: 2015
• ISBN 10: 1107059453
• ISBN 13: 9781107059450
• Rilegatura: Copertina rigida
• Numero di pagine: 521