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A Beautiful Mind
A Beautiful Mind is Sylvia Nasar's award-winning biography about the mystery of the human mind, the triumph over incredible adversity, and the healing power of love. At the age of thirty-one, John Nash, mathematical genius, suffered a devastating breakdown and was diagnosed with schizophrenia. Yet after decades of leading a ghost-like existence, he was to re-emerge to win a Nobel Prize and world acclaim. A Beautiful Mind has inspired the Oscar-winning film directed by Ron Howard and featuring Russell Crowe in the lead role of John Nash.
Hearings
None
Government and Science: Review of the National Science Foundation
Committee Serial No. 6. Contains appendices including summary of testimony (p. 839-906) and witnesses written responses to subsequent subcommittee questions (p. 905-1422).
Academic Genealogy Of Mathematicians
As modern mathematics has been developed by mathematicians over the past several hundred years, it is interesting to trace the academic genealogy of mathematicians — especially since all mathematicians learnt mathematics from their teachers. In this book, 750 mathematicians are listed along with the detailed descriptions of 464 famous mathematicians of the 19th and 20th centuries. In addition, interesting life stories and mathematical achievements are included with photographs.
Government and Science
Committee Serial No. 6. Contains appendices including summary of testimony (p. 839-906) and witnesses written responses to subsequent subcommittee questions (p. 905-1422).
Topological, Differential and Conformal Geometry of Surfaces
This book provides an introduction to the main geometric structures that are carried by compact surfaces, with an emphasis on the classical theory of Riemann surfaces. It first covers the prerequisites, including the basics of differential forms, the Poincaré Lemma, the Morse Lemma, the classification of compact connected oriented surfaces, Stokes’ Theorem, fixed point theorems and rigidity theorems. There is also a novel presentation of planar hyperbolic geometry. Moving on to more advanced concepts, it covers topics such as Riemannian metrics, the isometric torsion-free connection on vector fields, the Ansatz of Koszul, the Gauss–Bonnet Theorem, and integrability. These concepts are then used for the study of Riemann surfaces. One of the focal points is the Uniformization Theorem for compact surfaces, an elementary proof of which is given via a property of the energy functional. Among numerous other results, there is also a proof of Chow’s Theorem on compact holomorphic submanifolds in complex projective spaces. Based on lecture courses given by the author, the book will be accessible to undergraduates and graduates interested in the analytic theory of Riemann surfaces.
