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Inequalities from Complex Analysis

John P. D'Angelo

4/5 ( ratings)

Inequalities from Complex Analysis is a careful, friendly exposition of some rather interesting mathematics. The author begins by defining the complex number field; he gives a novel presentation of some standard mathematical analysis in the early chapters. The development culminates with some results from recent research literature. The book provides complete yet comprehensible proofs as well as some surprising consequences of the results. One unifying theme is a complex variables analogue of Hilbert's seventeenth problem. Numerous examples, exercises and discussions of geometric reasoning aid the reader. The book is accessible to undergraduate mathematicians, as well as physicists and engineers.

Language: English

Pages: 280

Format: Hardcover

Publisher: Mathematical Association of America (MAA)

Release: July 30, 2002

ISBN: 0883850338

ISBN 13: 9780883850336

Inequalities from Complex Analysis

John P. D'Angelo

4/5 ( ratings)

Inequalities from Complex Analysis is a careful, friendly exposition of some rather interesting mathematics. The author begins by defining the complex number field; he gives a novel presentation of some standard mathematical analysis in the early chapters. The development culminates with some results from recent research literature. The book provides complete yet comprehensible proofs as well as some surprising consequences of the results. One unifying theme is a complex variables analogue of Hilbert's seventeenth problem. Numerous examples, exercises and discussions of geometric reasoning aid the reader. The book is accessible to undergraduate mathematicians, as well as physicists and engineers.

Language: English

Pages: 280

Format: Hardcover

Publisher: Mathematical Association of America (MAA)

Release: July 30, 2002

ISBN: 0883850338

ISBN 13: 9780883850336

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Hermitian Analysis: From Fourier Series to Cauchy-Riemann Geometry

Several Complex Variables and the Geometry of Real Hypersurfaces

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