D. Choimet, H. Queffélec

Twelve Landmarks of Twentieth-Century Analysis

• Gebundenes Buch

Produktbeschreibung

This book combines rigorous proofs with commentary on the underlying ideas to provide a rich insight into these mathematical landmarks.

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Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 526
• Erscheinungstermin: 16. Juli 2015
• Englisch
• Abmessung: 235mm x 157mm x 35mm
• Gewicht: 996g
• ISBN-13: 9781107059450
• ISBN-10: 1107059453
• Artikelnr.: 42556979

Autorenporträt

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.

Inhaltsangabe

Foreword Gilles Godefroy
Preface
1. The Littlewood Tauberian theorem
2. The Wiener Tauberian theorem
3. The Newman Tauberian theorem
4. Generic properties of derivative functions
5. Probability theory and existence theorems
6. The Hausdorff-Banach-Tarski paradoxes
7. Riemann's 'other' function
8. Partitio Numerorum
9. The approximate functional equation of ¿0
10. The Littlewood conjecture
11. Banach algebras
12. The Carleson corona theorem
13. The problem of complementation in Banach spaces
14. Hints for solutions
References
Notations
Index.