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Collected Works
While Eugenio Calabi is best known for his contributions to the theory of Calabi-Yau manifolds, this Steele-Prize-winning geometer’s fundamental contributions to mathematics have been far broader and more diverse than might be guessed from this one aspect of his work. His works have deep influence and lasting impact in global differential geometry, mathematical physics and beyond. By bringing together 47 of Calabi’s important articles in a single volume, this book provides a comprehensive overview of his mathematical oeuvre, and includes papers on complex manifolds, algebraic geometry, Kähler metrics, affine geometry, partial differential equations, several complex variables, group actions and topology. The volume also includes essays on Calabi’s mathematics by several of his mathematical admirers, including S.K. Donaldson, B. Lawson and S.-T. Yau, Marcel Berger; and Jean Pierre Bourguignon. This book is intended for mathematicians and graduate students around the world. Calabi’s visionary contributions will certainly continue to shape the course of this subject far into the future.
Manifolds and Geometry
This book brings together papers that cover a wide spectrum of areas and give an unsurpassed overview of research into differential geometry.
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.
The Shape of Inner Space
The leading mind behind the mathematics of string theory discusses how geometry explains the universe we see. Illustrations.
Mathematische Werke / Mathematical Works
For most mathematicians and many mathematical physicists the name Erich Kähler is strongly tied to important geometric notions such as Kähler metrics, Kähler manifolds and Kähler groups. They all go back to a paper of 14 pages written in 1932. This, however, is just a small part of Kähler's many outstanding achievements which cover an unusually wide area: From celestial mechanics he got into complex function theory, differential equations, analytic and complex geometry with differential forms, and then into his main topic, i.e. arithmetic geometry where he constructed a system of notions which is a precursor and, in large parts, equivalent to the now used system of Grothendieck and Dieu...
Art And Practice Of Mathematics, The: Interviews At The Institute For Mathematical Sciences, National University Of Singapore, 2010-2020
This book constitutes the second volume of interviews with prominent mathematicians and mathematical scientists who visited the Institute for Mathematical Sciences, National University of Singapore. First published in the Institute's newsletter Imprints during the period 2010-2020, they offer glimpses of an esoteric universe as viewed and experienced by some of the leading and creative practitioners of the craft of mathematics.The topics covered in this volume are wide-ranging, running from pure mathematics (logic, number theory, algebraic geometry) to applied mathematics (mathematical modeling, fluid dynamics) through probability and statistics, mathematical physics, theoretical computer sc...
Mathematics Frontiers
Tracing the development of mathematics from a biographical standpoint, Mathematics Frontiers: 1950 to the Present profiles innovators from the second half of the 20th century who made significant discoveries in both pure and applied mathematics. From John H. Conway, who helped complete the classification of all finite groups (and invented The Game of Life board game), to Stephen Hawking, who established the mathematical basis for black holes, to Fan Chung, who developed an encoding and decoding algorithm for cell phone calls, this lively survey of contemporary minds behind the math is ideal for middle and high school students seeking resources for research or general interest.
Riffing on Strings
Riffing on Strings is a unique collection of creative writing that explores the cosmic and cultural resonances of string theory. The book includes thought-provoking essays, short stories, poems, and a play from over 40 acclaimed authors, including Nobel Laureate Sheldon Glashow, Michio Kaku, Peter Woit, Adam Roberts, Colette Inez, Brenda Hillman, Joseph Radke, Bruce Holland Rogers, and Carole Bugge. "Sean Miller and Shveta Verma have put together an exhilaratingly eclectic anthology of creative and expository writing about one of the most exciting (even if controversial) intellectual fields of our time: string theory. Just Miller's erudite introduction by itself is worth the price of this sparkling collection." - S. Abbas Raza, Managing Editor of 3 Quarks Daily "Putting together a theory of everything requires a lot of creativity, and more than a little audacity - qualities which are also abundant in this collection of stories and poems inspired by string theory. Riffing on Strings is guaranteed to stimulate both hemispheres of your brain." - Sean Carroll, Theoretical Physicist, California Institute of Technology & Creator of Cosmic Variance
Credit and Blame
In his eye-opening book Why?, world-renowned social scientist Charles Tilly exposed some startling truths about the excuses people make and the reasons they give. Now he's back with further explorations into the complexities of human relationships, this time examining what's really going on when we assign credit or cast blame. Everybody does it, but few understand the hidden motivations behind it. With his customary wit and dazzling insight, Tilly takes a lively and thought-provoking look at the ways people fault and applaud each other and themselves. The stories he gathers in Credit and Blame range from the everyday to the altogether unexpected, from the revealingly personal to the insightf...
The Shape of a Life
A Fields medalist recounts his lifelong effort to uncover the geometric shape—the Calabi-Yau manifold—that may store the hidden dimensions of our universe. Harvard geometer Shing-Tung Yau has provided a mathematical foundation for string theory, offered new insights into black holes, and mathematically demonstrated the stability of our universe. In this autobiography, Yau reflects on his improbable journey to becoming one of the world’s most distinguished mathematicians. Beginning with an impoverished childhood in China and Hong Kong, Yau takes readers through his doctoral studies at Berkeley during the height of the Vietnam War protests, his Fields Medal–winning proof of the Calabi ...
