Inspired By S S Chern A Memorial Volume In Honor Of A Great Mathematician

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Inspired By S S Chern: A Memorial Volume In Honor Of A Great Mathematician

Author : Phillip A Griffiths
Publisher : World Scientific
ISBN 13 : 9814476846
Total Pages : 532 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Inspired By S S Chern: A Memorial Volume In Honor Of A Great Mathematician by : Phillip A Griffiths

Download or read book Inspired By S S Chern: A Memorial Volume In Honor Of A Great Mathematician written by Phillip A Griffiths and published by World Scientific. This book was released on 2006-11-27 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: Shiing-Shen Chern (1911-2004) was one of the leading differential geometers of the twentieth century. In 1946, he founded the Mathematical Institute of Academia Sinica in Shanghai, which was later moved to Nanking. In 1981, he founded the Mathematical Sciences Research Institute (MSRI) at Berkeley and acted as the director until 1984. In 1985, he founded the Nankai Institute of Mathematics in Tianjin. He was awarded the National Medal of Science in 1975; the Wolf Prize in mathematics in 1984; and the Shaw Prize in mathematical sciences in 2004.Chern's works span all the classic fields of differential geometry: the Chern-Simons theory; the Chern-Weil theory, linking curvature invariants to characteristic classes; Chern classes; and other areas such as projective differential geometry and webs that are mathematically rich but currently have a lower profile. He also published work in integral geometry, value distribution theory of holomorphic functions, and minimal submanifolds.Inspired by Chern and his work, former colleagues, students and friends — themselves highly regarded mathematicians in their own right — come together to honor and celebrate Chern's huge contributions. The volume, organized by Phillip Griffiths of the Institute for Advanced Study (Princeton), contains contributions by Michael Atiyah (University of Edinburgh), C-M Bai (Nankai), Robert Bryant (Duke University), Kung-Ching Chang (Peking University), Jeff Cheeger (New York University), Simon K Donaldson (Imperial College), Hélène Esnault (Universität Duisburg-Essen), Mo-Lin Ge (Nankai), Mark Green (University of California at Los Angeles), Phillip Griffiths (Institute for Advanced Study), F Reese Harvey (Rice University), Alain Hénaut (Université Bordeaux 1), Niky Kamran (McGill University), Bruce Kleiner (Yale), H Blaine Lawson, Jr (Suny at Stony Brook), Yiming Long (Nankai), Xiaonan Ma (UMR 7640 du CNRS), Luc Pirio (IRMAR, France), Graeme Segal (Oxford), Gang Tian (MIT), Jean-Marie Trepreau (Institut de Mathématiques de Jussieu), Jeff Viaclovsky (MIT), Wei Wang (Nankai), Wentsun Wu (Chinese Academy of Sciences), C N Yang (Tsinghua), Tan Zhang (Murray State University), Weiping Zhang (Nankai) and others.

Inspired by S.S. Chern

Author : Phillip Griffiths
Publisher : Nankai Tracts in Mathematics
ISBN 13 : 9789812700612
Total Pages : 0 pages
Book Rating : 4.7/5 (6 download)

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Book Synopsis Inspired by S.S. Chern by : Phillip Griffiths

Download or read book Inspired by S.S. Chern written by Phillip Griffiths and published by Nankai Tracts in Mathematics. This book was released on 2006 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Shiing-Shen Chern (1911-2004) was one of the leading differential geometers of the twentieth century. In 1946, he founded the Mathematical Institute of Academia Sinica in Shanghai, which was later moved to Nanking. In 1981, he founded the Mathematical Sciences Research Institute (MSRI) at Berkeley and acted as the director until 1984. In 1985, he founded the Nankai Institute of Mathematics in Tianjin. He was awarded the National Medal of Science in 1975; the Wolf Prize in mathematics in 1984; and the Shaw Prize in mathematical sciences in 2004.Chern's works span all the classic fields of differential geometry: the Chern-Simons theory; the Chern-Weil theory, linking curvature invariants to characteristic classes; Chern classes; and other areas such as projective differential geometry and webs that are mathematically rich but currently have a lower profile. He also published work in integral geometry, value distribution theory of holomorphic functions, and minimal submanifolds.Inspired by Chern and his work, former colleagues, students and friends -- themselves highly regarded mathematicians in their own right -- come together to honor and celebrate Chern's huge contributions. The volume, organized by Phillip Griffiths of the Institute for Advanced Study (Princeton), contains contributions by Michael Atiyah (University of Edinburgh), C-M Bai (Nankai), Robert Bryant (Duke University), Kung-Ching Chang (Peking University), Jeff Cheeger (New York University), Simon K Donaldson (Imperial College), Hélène Esnault (Universität Duisburg-Essen), Mo-Lin Ge (Nankai), Mark Green (University of California at Los Angeles), Phillip Griffiths (Institute for Advanced Study), F Reese Harvey (Rice University), Alain Hénaut (Université Bordeaux 1), Niky Kamran (McGill University), Bruce Kleiner (Yale), H Blaine Lawson, Jr (Suny at Stony Brook), Yiming Long (Nankai), Xiaonan Ma (UMR 7640 du CNRS), Luc Pirio (IRMAR, France), Graeme Segal (Oxford), Gang Tian (MIT), Jean-Marie Trepreau (Institut de Mathématiques de Jussieu), Jeff Viaclovsky (MIT), Wei Wang (Nankai), Wentsun Wu (Chinese Academy of Sciences), C N Yang (Tsinghua), Tan Zhang (Murray State University), Weiping Zhang (Nankai) and others.

Michael Atiyah Collected Works

Author : Michael Atiyah
Publisher : OUP Oxford
ISBN 13 : 0191003476
Total Pages : 477 pages
Book Rating : 4.1/5 (91 download)

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Book Synopsis Michael Atiyah Collected Works by : Michael Atiyah

Download or read book Michael Atiyah Collected Works written by Michael Atiyah and published by OUP Oxford. This book was released on 2014-04-17 with total page 477 pages. Available in PDF, EPUB and Kindle. Book excerpt: Professor Atiyah is one of the greatest living mathematicians and is renowned in the mathematical world. He is a recipient of the Fields Medal, the mathematical equivalent of the Nobel Prize, and is still actively involved in the mathematics community. His huge number of published papers, focusing on the areas of algebraic geometry and topology, have here been collected into seven volumes, with the first five volumes divided thematically and the sixth and seventh arranged by date. This seventh volume in Michael Atiyah's Collected Works contains a selection of his publications between 2002 and 2013, including his work on skyrmions; K-theory and cohomology; geometric models of matter; curvature, cones and characteristic numbers; and reflections on the work of Riemann, Einstein and Bott.

Michael Atiyah Collected Works

Author : Michael Francis Atiyah
Publisher : Oxford University Press
ISBN 13 : 0199689261
Total Pages : 477 pages
Book Rating : 4.1/5 (996 download)

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Book Synopsis Michael Atiyah Collected Works by : Michael Francis Atiyah

Download or read book Michael Atiyah Collected Works written by Michael Francis Atiyah and published by Oxford University Press. This book was released on 2014 with total page 477 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the greatest mathematicians in the world, Michael Atiyah has earned numerous honors, including a Fields Medal, the mathematical equivalent of the Nobel Prize. While the focus of his work has been in the areas of algebraic geometry and topology, he has also participated in research with theoretical physicists. For the first time, these volumes bring together Atiyah's collected papers--both monographs and collaborative works-- including those dealing with mathematical education and current topics of research such as K-theory and gauge theory. The volumes are organized thematically. They will be of great interest to research mathematicians, theoretical physicists, and graduate students in these areas.

Curves and Abelian Varieties

Author : Valery Alexeev
Publisher : American Mathematical Soc.
ISBN 13 : 0821843346
Total Pages : 290 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Curves and Abelian Varieties by : Valery Alexeev

Download or read book Curves and Abelian Varieties written by Valery Alexeev and published by American Mathematical Soc.. This book was released on 2008 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book is devoted to recent progress in the study of curves and abelian varieties. It discusses both classical aspects of this deep and beautiful subject as well as two important new developments, tropical geometry and the theory of log schemes." "In addition to original research articles, this book contains three surveys devoted to singularities of theta divisors. of compactified Jucobiuns of singular curves, and of "strange duality" among moduli spaces of vector bundles on algebraic varieties."--BOOK JACKET.

Mathematician And His Mathematical Work, A: Selected Papers Of S S Chern

Author : Shiu-yuen Cheng
Publisher : World Scientific
ISBN 13 : 9814499978
Total Pages : 732 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Mathematician And His Mathematical Work, A: Selected Papers Of S S Chern by : Shiu-yuen Cheng

Download or read book Mathematician And His Mathematical Work, A: Selected Papers Of S S Chern written by Shiu-yuen Cheng and published by World Scientific. This book was released on 1996-09-07 with total page 732 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is about the life and work of Shiing-Shen Chern (1911-), one of the leading mathematicians of this century. The book contains personal accounts by some friends, together with a summary of the mathematical works by Chern himself. Besides a selection of the mathematical papers the book also contains all his papers published after 1988.

Metric and Differential Geometry

Author : Xianzhe Dai
Publisher : Springer Science & Business Media
ISBN 13 : 3034802579
Total Pages : 401 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Metric and Differential Geometry by : Xianzhe Dai

Download or read book Metric and Differential Geometry written by Xianzhe Dai and published by Springer Science & Business Media. This book was released on 2012-06-01 with total page 401 pages. Available in PDF, EPUB and Kindle. Book excerpt: Metric and Differential Geometry grew out of a similarly named conference held at Chern Institute of Mathematics, Tianjin and Capital Normal University, Beijing. The various contributions to this volume cover a broad range of topics in metric and differential geometry, including metric spaces, Ricci flow, Einstein manifolds, Kähler geometry, index theory, hypoelliptic Laplacian and analytic torsion. It offers the most recent advances as well as surveys the new developments. Contributors: M.T. Anderson J.-M. Bismut X. Chen X. Dai R. Harvey P. Koskela B. Lawson X. Ma R. Melrose W. Müller A. Naor J. Simons C. Sormani D. Sullivan S. Sun G. Tian K. Wildrick W. Zhang

Mathematical Reviews

Author :
Publisher :
ISBN 13 :
Total Pages : 984 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Mathematical Reviews by :

Download or read book Mathematical Reviews written by and published by . This book was released on 2007 with total page 984 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Survival of a Mathematician

Author : Steven George Krantz
Publisher : American Mathematical Soc.
ISBN 13 : 0821846299
Total Pages : 328 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis The Survival of a Mathematician by : Steven George Krantz

Download or read book The Survival of a Mathematician written by Steven George Krantz and published by American Mathematical Soc.. This book was released on 2009 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: "One of the themes of the book is how to have a fulfilling professional life. In order to achieve this goal, Krantz discusses keeping a vigorous scholarly program going and finding new challenges, as well as dealing with the everyday tasks of research, teaching, and administration." "In short, this is a survival manual for the professional mathematician - both in academics and in industry and government agencies. It is a sequel to the author's A Mathematician's Survival Guide."--BOOK JACKET.

Mathematicians of the World, Unite!

Author : Guillermo Curbera
Publisher : CRC Press
ISBN 13 : 1439865124
Total Pages : 336 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Mathematicians of the World, Unite! by : Guillermo Curbera

Download or read book Mathematicians of the World, Unite! written by Guillermo Curbera and published by CRC Press. This book was released on 2009-02-23 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: This vividly illustrated history of the International Congress of Mathematicians- a meeting of mathematicians from around the world held roughly every four years- acts as a visual history of the 25 congresses held between 1897 and 2006, as well as a story of changes in the culture of mathematics over the past century. Because the congress is an int

How Knowledge Moves

Author : John Krige
Publisher : University of Chicago Press
ISBN 13 : 022660599X
Total Pages : 453 pages
Book Rating : 4.2/5 (266 download)

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Book Synopsis How Knowledge Moves by : John Krige

Download or read book How Knowledge Moves written by John Krige and published by University of Chicago Press. This book was released on 2019-01-25 with total page 453 pages. Available in PDF, EPUB and Kindle. Book excerpt: Knowledge matters, and states have a stake in managing its movement to protect a variety of local and national interests. The view that knowledge circulates by itself in a flat world, unimpeded by national boundaries, is a myth. The transnational movement of knowledge is a social accomplishment, requiring negotiation, accommodation, and adaptation to the specificities of local contexts. This volume of essays by historians of science and technology breaks the national framework in which histories are often written. Instead, How Knowledge Moves takes knowledge as its central object, with the goal of unraveling the relationships among people, ideas, and things that arise when they cross national borders. This specialized knowledge is located at multiple sites and moves across borders via a dazzling array of channels, embedded in heads and hands, in artifacts, and in texts. In the United States, it shapes policies for visas, export controls, and nuclear weapons proliferation; in Algeria, it enhances the production of oranges by colonial settlers; in Vietnam, it facilitates the exploitation of a river delta. In India it transforms modes of agricultural production. It implants American values in Latin America. By concentrating on the conditions that allow for knowledge movement, these essays explore travel and exchange in face-to-face encounters and show how border-crossings mobilize extensive bureaucratic technologies.

The Shape of Inner Space

Author : Shing-Tung Yau
Publisher : Il Saggiatore
ISBN 13 : 0465020232
Total Pages : 398 pages
Book Rating : 4.4/5 (65 download)

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Book Synopsis The Shape of Inner Space by : Shing-Tung Yau

Download or read book The Shape of Inner Space written by Shing-Tung Yau and published by Il Saggiatore. This book was released on 2010-09-07 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: The leading mind behind the mathematics of string theory discusses how geometry explains the universe we see. Illustrations.

An Introduction to Contact Topology

Author : Hansjörg Geiges
Publisher : Cambridge University Press
ISBN 13 : 1139467956
Total Pages : 8 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis An Introduction to Contact Topology by : Hansjörg Geiges

Download or read book An Introduction to Contact Topology written by Hansjörg Geiges and published by Cambridge University Press. This book was released on 2008-03-13 with total page 8 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text on contact topology is a comprehensive introduction to the subject, including recent striking applications in geometric and differential topology: Eliashberg's proof of Cerf's theorem via the classification of tight contact structures on the 3-sphere, and the Kronheimer-Mrowka proof of property P for knots via symplectic fillings of contact 3-manifolds. Starting with the basic differential topology of contact manifolds, all aspects of 3-dimensional contact manifolds are treated in this book. One notable feature is a detailed exposition of Eliashberg's classification of overtwisted contact structures. Later chapters also deal with higher-dimensional contact topology. Here the focus is on contact surgery, but other constructions of contact manifolds are described, such as open books or fibre connected sums. This book serves both as a self-contained introduction to the subject for advanced graduate students and as a reference for researchers.

Riemannian Foliations

Author : Molino
Publisher : Springer Science & Business Media
ISBN 13 : 1468486705
Total Pages : 348 pages
Book Rating : 4.4/5 (684 download)

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Book Synopsis Riemannian Foliations by : Molino

Download or read book Riemannian Foliations written by Molino and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: Foliation theory has its origins in the global analysis of solutions of ordinary differential equations: on an n-dimensional manifold M, an [autonomous] differential equation is defined by a vector field X ; if this vector field has no singularities, then its trajectories form a par tition of M into curves, i.e. a foliation of codimension n - 1. More generally, a foliation F of codimension q on M corresponds to a partition of M into immersed submanifolds [the leaves] of dimension ,--------,- - . - -- p = n - q. The first global image that comes to mind is 1--------;- - - - - - that of a stack of "plaques". 1---------;- - - - - - Viewed laterally [transver 1--------1- - - -- sally], the leaves of such a 1--------1 - - - - -. stacking are the points of a 1--------1--- ----. quotient manifold W of di L..... -' _ mension q. -----~) W M Actually, this image corresponds to an elementary type of folia tion, that one says is "simple". For an arbitrary foliation, it is only l- u L ally [on a "simpIe" open set U] that the foliation appears as a stack of plaques and admits a local quotient manifold. Globally, a leaf L may - - return and cut a simple open set U in several plaques, sometimes even an infinite number of plaques.

Additive Theory of Prime Numbers

Author : Luogeng Hua
Publisher : American Mathematical Soc.
ISBN 13 : 0821849425
Total Pages : 206 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Additive Theory of Prime Numbers by : Luogeng Hua

Download or read book Additive Theory of Prime Numbers written by Luogeng Hua and published by American Mathematical Soc.. This book was released on 2009-12-04 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: Loo-Keng Hua was a master mathematician, best known for his work using analytic methods in number theory. In particular, Hua is remembered for his contributions to Waring's Problem and his estimates of trigonometric sums. Additive Theory of Prime Numbers is an exposition of the classic methods as well as Hua's own techniques, many of which have now also become classic. An essential starting point is Vinogradov's mean-value theorem for trigonometric sums, which Hua usefully rephrases and improves. Hua states a generalized version of the Waring-Goldbach problem and gives asymptotic formulas for the number of solutions in Waring's Problem when the monomial $x^k$ is replaced by an arbitrary polynomial of degree $k$. The book is an excellent entry point for readers interested in additive number theory. It will also be of value to those interested in the development of the now classic methods of the subject.

The Collected Papers of Stephen Smale

Author : Stephen Smale
Publisher : World Scientific
ISBN 13 : 9789810249915
Total Pages : 532 pages
Book Rating : 4.2/5 (499 download)

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Book Synopsis The Collected Papers of Stephen Smale by : Stephen Smale

Download or read book The Collected Papers of Stephen Smale written by Stephen Smale and published by World Scientific. This book was released on 2000 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: This invaluable book contains the collected papers of Stephen Smale. These are divided into eight groups: topology; calculus of variations; dynamics; mechanics; economics; biology, electric circuits and mathematical programming; theory of computation; miscellaneous. In addition, each group contains one or two articles by world leaders on its subject which comment on the influence of Smale's work, and another article by Smale with his own retrospective views.

Information—Consciousness—Reality

Author : James B. Glattfelder
Publisher : Springer
ISBN 13 : 3030036332
Total Pages : 662 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Information—Consciousness—Reality by : James B. Glattfelder

Download or read book Information—Consciousness—Reality written by James B. Glattfelder and published by Springer. This book was released on 2019-04-10 with total page 662 pages. Available in PDF, EPUB and Kindle. Book excerpt: This open access book chronicles the rise of a new scientific paradigm offering novel insights into the age-old enigmas of existence. Over 300 years ago, the human mind discovered the machine code of reality: mathematics. By utilizing abstract thought systems, humans began to decode the workings of the cosmos. From this understanding, the current scientific paradigm emerged, ultimately discovering the gift of technology. Today, however, our island of knowledge is surrounded by ever longer shores of ignorance. Science appears to have hit a dead end when confronted with the nature of reality and consciousness. In this fascinating and accessible volume, James Glattfelder explores a radical paradigm shift uncovering the ontology of reality. It is found to be information-theoretic and participatory, yielding a computational and programmable universe.