D. Choimet,H. Queffélec's Twelve Landmarks of Twentieth-Century Analysis PDF

By D. Choimet,H. Queffélec

ISBN-10: 1107059453

ISBN-13: 9781107059450

ISBN-10: 1107650348

ISBN-13: 9781107650343

The impressive theorems showcased during this ebook are one of the so much profound result of twentieth-century research. The authors' unique procedure combines rigorous mathematical proofs with statement at the underlying rules to supply a wealthy perception into those landmarks in arithmetic. effects starting from the facts of Littlewood's conjecture to the Banach–Tarski paradox were chosen for his or her mathematical attractiveness in addition to educative worth and old function. putting each one theorem in old standpoint, the authors paint a coherent photograph of contemporary research and its improvement, while holding mathematical rigour with the supply of entire proofs, replacement proofs, labored examples, and greater than a hundred and fifty workouts and resolution tricks. This version extends the unique French version of 2009 with a brand new bankruptcy on walls, together with the Hardy–Ramanujan theorem, and an important enlargement of the present bankruptcy at the Corona problem.

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Twelve Landmarks of Twentieth-Century Analysis by D. Choimet,H. Queffélec

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