A Celebration of John F. Nash Jr.

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Publisher : Duke University Press
ISBN 13 : 9780822317821
Total Pages : 512 pages
Book Rating : 4.3/5 (178 download)

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Book Synopsis A Celebration of John F. Nash Jr. by : Harold W. Kuhn

Download or read book A Celebration of John F. Nash Jr. written by Harold W. Kuhn and published by Duke University Press. This book was released on 1996 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection celebrates the pathbreaking work in game theory and mathematics of John F. Nash Jr., winner of the 1994 Nobel Prize in Economics. Nash's analysis of equilibria in the theory of non-cooperative games has had a major impact on modern economic theory. This book, also published as volume 81 of the Duke Mathematical Journal, includes an important, but previously unpublished paper by Nash; the proceedings of the Nobel seminar held in Stockholm on December 8, 1994 in his honor; and papers by distinguished mathematicians and economists written in response to and in honor of Nash's pioneering contributions to those fields. In 1950, when he was 22 years old, Nash presented his key idea--the Nash equilibrium--in the Ph.D. thesis he submitted to the Mathematics Department at Princeton University. In that paper, he defined a new concept of equilibrium and used methods from topology to prove the existence of an equilibrium point for n-person, finite, non-cooperative games, that is, for games in which the number of possible strategies are limited, no communication is allowed between the players, and n represents the number of players. The Nash equilibrium point is reached when none of the players can improve their position by changing strategies. By taking into account situations involving more than two players, specifically the general n-player game, Nash built significantly on the previous work of John Von Neumann and Oskar Morgenstern. Contributors. Abbas Bahri, Eric A. Carlen, Ennio De Giorgi, Charles Fefferman, Srihari Govidan, John C. Harsanyi, H. Hoffer, Carlos E. Kenig, S. Klainerman, Harold F. Kuhn, Michael Loss, William F. Lucas, M. Machedon, Roger B. Myerson, Raghavan Narasimhan, John F. Nash Jr., Louis Nirenberg, Jill Pipher, Zeév Rudnick, Peter Sarnak, Michael Shub, Steve Smale, Robert Wilson, K. Wysocki, E. Zehnder

Tensor Categories

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Publisher : American Mathematical Soc.
ISBN 13 : 1470434415
Total Pages : 362 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Tensor Categories by : Pavel Etingof

Download or read book Tensor Categories written by Pavel Etingof and published by American Mathematical Soc.. This book was released on 2016-08-05 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: Is there a vector space whose dimension is the golden ratio? Of course not—the golden ratio is not an integer! But this can happen for generalizations of vector spaces—objects of a tensor category. The theory of tensor categories is a relatively new field of mathematics that generalizes the theory of group representations. It has deep connections with many other fields, including representation theory, Hopf algebras, operator algebras, low-dimensional topology (in particular, knot theory), homotopy theory, quantum mechanics and field theory, quantum computation, theory of motives, etc. This book gives a systematic introduction to this theory and a review of its applications. While giving a detailed overview of general tensor categories, it focuses especially on the theory of finite tensor categories and fusion categories (in particular, braided and modular ones), and discusses the main results about them with proofs. In particular, it shows how the main properties of finite-dimensional Hopf algebras may be derived from the theory of tensor categories. Many important results are presented as a sequence of exercises, which makes the book valuable for students and suitable for graduate courses. Many applications, connections to other areas, additional results, and references are discussed at the end of each chapter.

How Economics Became a Mathematical Science

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Publisher : Duke University Press
ISBN 13 : 0822383802
Total Pages : 329 pages
Book Rating : 4.8/5 (223 download)

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Book Synopsis How Economics Became a Mathematical Science by : E. Roy Weintraub

Download or read book How Economics Became a Mathematical Science written by E. Roy Weintraub and published by Duke University Press. This book was released on 2002-05-28 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: In How Economics Became a Mathematical Science E. Roy Weintraub traces the history of economics through the prism of the history of mathematics in the twentieth century. As mathematics has evolved, so has the image of mathematics, explains Weintraub, such as ideas about the standards for accepting proof, the meaning of rigor, and the nature of the mathematical enterprise itself. He also shows how economics itself has been shaped by economists’ changing images of mathematics. Whereas others have viewed economics as autonomous, Weintraub presents a different picture, one in which changes in mathematics—both within the body of knowledge that constitutes mathematics and in how it is thought of as a discipline and as a type of knowledge—have been intertwined with the evolution of economic thought. Weintraub begins his account with Cambridge University, the intellectual birthplace of modern economics, and examines specifically Alfred Marshall and the Mathematical Tripos examinations—tests in mathematics that were required of all who wished to study economics at Cambridge. He proceeds to interrogate the idea of a rigorous mathematical economics through the connections between particular mathematical economists and mathematicians in each of the decades of the first half of the twentieth century, and thus describes how the mathematical issues of formalism and axiomatization have shaped economics. Finally, How Economics Became a Mathematical Science reconstructs the career of the economist Sidney Weintraub, whose relationship to mathematics is viewed through his relationships with his mathematician brother, Hal, and his mathematician-economist son, the book’s author.

Methods of Mathematical Modelling

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Publisher : Springer
ISBN 13 : 3319230425
Total Pages : 309 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Methods of Mathematical Modelling by : Thomas Witelski

Download or read book Methods of Mathematical Modelling written by Thomas Witelski and published by Springer. This book was released on 2015-09-18 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents mathematical modelling and the integrated process of formulating sets of equations to describe real-world problems. It describes methods for obtaining solutions of challenging differential equations stemming from problems in areas such as chemical reactions, population dynamics, mechanical systems, and fluid mechanics. Chapters 1 to 4 cover essential topics in ordinary differential equations, transport equations and the calculus of variations that are important for formulating models. Chapters 5 to 11 then develop more advanced techniques including similarity solutions, matched asymptotic expansions, multiple scale analysis, long-wave models, and fast/slow dynamical systems. Methods of Mathematical Modelling will be useful for advanced undergraduate or beginning graduate students in applied mathematics, engineering and other applied sciences.

A Mathematical Introduction to Electronic Structure Theory

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Publisher : SIAM
ISBN 13 : 1611975808
Total Pages : 138 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis A Mathematical Introduction to Electronic Structure Theory by : Lin Lin

Download or read book A Mathematical Introduction to Electronic Structure Theory written by Lin Lin and published by SIAM. This book was released on 2019-06-05 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on first principle quantum mechanics, electronic structure theory is widely used in physics, chemistry, materials science, and related fields and has recently received increasing research attention in applied and computational mathematics. This book provides a self-contained, mathematically oriented introduction to the subject and its associated algorithms and analysis. It will help applied mathematics students and researchers with minimal background in physics understand the basics of electronic structure theory and prepare them to conduct research in this area. The book begins with an elementary introduction of quantum mechanics, including the uncertainty principle and the Hartree?Fock theory, which is considered the starting point of modern electronic structure theory. The authors then provide an in-depth discussion of two carefully selected topics that are directly related to several aspects of modern electronic structure calculations: density matrix based algorithms and linear response theory. Chapter 2 introduces the Kohn?Sham density functional theory with a focus on the density matrix based numerical algorithms, and Chapter 3 introduces linear response theory, which provides a unified viewpoint of several important phenomena in physics and numerics. An understanding of these topics will prepare readers for more advanced topics in this field. The book concludes with the random phase approximation to the correlation energy. The book is written for advanced undergraduate and beginning graduate students, specifically those with mathematical backgrounds but without a priori knowledge of quantum mechanics, and can be used for self-study by researchers, instructors, and other scientists. The book can also serve as a starting point to learn about many-body perturbation theory, a topic at the frontier of the study of interacting electrons.

Mathematics, Science, and Postclassical Theory

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Publisher : Duke University Press
ISBN 13 : 0822382725
Total Pages : 290 pages
Book Rating : 4.8/5 (223 download)

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Book Synopsis Mathematics, Science, and Postclassical Theory by : Barbara Herrnstein Smith

Download or read book Mathematics, Science, and Postclassical Theory written by Barbara Herrnstein Smith and published by Duke University Press. This book was released on 1997-03-04 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics, Science, and Postclassical Theory is a unique collection of essays dealing with the intersections between science and mathematics and the radical reconceptions of knowledge, language, proof, truth, and reality currently emerging from poststructuralist literary theory, constructivist history and sociology of science, and related work in contemporary philosophy. Featuring a distinguished group of international contributors, this volume engages themes and issues central to current theoretical debates in virtually all disciplines: agency, causality, determinacy, representation, and the social dynamics of knowledge. In a substantive introductory essay, the editors explain the notion of "postclassical theory" and discuss the significance of ideas such as emergence and undecidability in current work in and on science and mathematics. Other essays include a witty examination of the relations among mathematical thinking, writing, and the technologies of virtual reality; an essay that reconstructs the conceptual practices that led to a crucial mathematical discovery—or construction—in the 19th century; a discussion of the implications of Bohr’s complementarity principle for classical ideas of reality; an examination of scientific laboratories as "hybrid" communities of humans and nonhumans; an analysis of metaphors of control, purpose, and necessity in contemporary biology; an exploration of truth and lies, and the play of words and numbers in Shakespeare, Frege, Wittgenstein, and Beckett; and a final chapter on recent engagements, or nonengagements, between rationalist/realist philosophy of science and contemporary science studies. Contributors. Malcolm Ashmore, Michel Callon, Owen Flanagan, John Law, Susan Oyama, Andrew Pickering, Arkady Plotnitsky, Brian Rotman, Barbara Herrnstein Smith, John Vignaux Smyth, E. Roy Weintraub

Dialogue Concerning the Two Chief World Systems

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Publisher : Modern Library
ISBN 13 : 037575766X
Total Pages : 642 pages
Book Rating : 4.3/5 (757 download)

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Book Synopsis Dialogue Concerning the Two Chief World Systems by : Galileo

Download or read book Dialogue Concerning the Two Chief World Systems written by Galileo and published by Modern Library. This book was released on 2001-10-02 with total page 642 pages. Available in PDF, EPUB and Kindle. Book excerpt: Galileo’s Dialogue Concerning the Two Chief World Systems, published in Florence in 1632, was the most proximate cause of his being brought to trial before the Inquisition. Using the dialogue form, a genre common in classical philosophical works, Galileo masterfully demonstrates the truth of the Copernican system over the Ptolemaic one, proving, for the first time, that the earth revolves around the sun. Its influence is incalculable. The Dialogue is not only one of the most important scientific treatises ever written, but a work of supreme clarity and accessibility, remaining as readable now as when it was first published. This edition uses the definitive text established by the University of California Press, in Stillman Drake’s translation, and includes a Foreword by Albert Einstein and a new Introduction by J. L. Heilbron.

Imre Lakatos and the Guises of Reason

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Publisher : Duke University Press
ISBN 13 : 9780822326496
Total Pages : 400 pages
Book Rating : 4.3/5 (264 download)

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Book Synopsis Imre Lakatos and the Guises of Reason by : John Kadvany

Download or read book Imre Lakatos and the Guises of Reason written by John Kadvany and published by Duke University Press. This book was released on 2001-04-09 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: DIVAn exploration of the philosophy of science and mathematics of Hungarian emigre, Imre Lakatos, demonstrating its contemporary relevance./div

The Classification of Finite Simple Groups

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Publisher : American Mathematical Soc.
ISBN 13 : 0821853368
Total Pages : 362 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis The Classification of Finite Simple Groups by : Michael Aschbacher

Download or read book The Classification of Finite Simple Groups written by Michael Aschbacher and published by American Mathematical Soc.. This book was released on 2011 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides an outline and modern overview of the classification of the finite simple groups. It primarily covers the 'even case', where the main groups arising are Lie-type (matrix) groups over a field of characteristic 2. The book thus completes a project begun by Daniel Gorenstein's 1983 book, which outlined the classification of groups of 'noncharacteristic 2 type'.

Albanian Journal of Mathematics

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Publisher : AulonaPress
ISBN 13 : 9780975454176
Total Pages : 350 pages
Book Rating : 4.4/5 (541 download)

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Book Synopsis Albanian Journal of Mathematics by : Tanush Shaska

Download or read book Albanian Journal of Mathematics written by Tanush Shaska and published by AulonaPress. This book was released on 2007-10 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Uncomputable

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Publisher : Verso Books
ISBN 13 : 1839764007
Total Pages : 289 pages
Book Rating : 4.8/5 (397 download)

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Book Synopsis Uncomputable by : Alexander Galloway

Download or read book Uncomputable written by Alexander Galloway and published by Verso Books. This book was released on 2021-11-02 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: A journey through the uncomputable remains of computer history Narrating some lesser known episodes from the deep history of digital machines, Alexander R. Galloway explains the technology that drives the world today, and the fascinating people who brought these machines to life. With an eye to both the computable and the uncomputable, Galloway shows how computation emerges or fails to emerge, how the digital thrives but also atrophies, how networks interconnect while also fray and fall apart. By re-building obsolete technology using today's software, the past comes to light in new ways, from intricate algebraic patterns woven on a hand loom, to striking artificial-life simulations, to war games and back boxes. A description of the past, this book is also an assessment of all that remains uncomputable as we continue to live in the aftermath of the long digital age.

Vexy Thing

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Publisher :
ISBN 13 : 9781478000815
Total Pages : 0 pages
Book Rating : 4.0/5 (8 download)

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Book Synopsis Vexy Thing by : Imani Perry

Download or read book Vexy Thing written by Imani Perry and published by . This book was released on 2018 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Imani Perry recenters patriarchy to contemporary discussions of feminism through a social and literary analysis of cultural artifacts--ranging from nineteenth-century slavery court cases and historical vignettes to literature and contemporary art--from the Enlightenment to the present.

Tsq: Transgender Studies Quarterly (6:1)

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Publisher :
ISBN 13 : 9781478008996
Total Pages : 0 pages
Book Rating : 4.0/5 (89 download)

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Book Synopsis Tsq: Transgender Studies Quarterly (6:1) by : Paisley Currah

Download or read book Tsq: Transgender Studies Quarterly (6:1) written by Paisley Currah and published by . This book was released on 2019-02-15 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Watering the Revolution

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Publisher : Duke University Press Books
ISBN 13 : 9780822363743
Total Pages : 0 pages
Book Rating : 4.3/5 (637 download)

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Book Synopsis Watering the Revolution by : Mikael D. Wolfe

Download or read book Watering the Revolution written by Mikael D. Wolfe and published by Duke University Press Books. This book was released on 2017-06-23 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: In Watering the Revolution Mikael D. Wolfe transforms our understanding of Mexican agrarian reform through an environmental and technological history of water management in the emblematic Laguna region. Drawing on extensive archival research in Mexico and the United States, Wolfe shows how during the long Mexican Revolution (1910-1940) engineers’ distribution of water paradoxically undermined land distribution. In so doing, he highlights the intrinsic tension engineers faced between the urgent need for water conservation and the imperative for development during the contentious modernization of the Laguna's existing flood irrigation method into one regulated by high dams, concrete-lined canals, and motorized groundwater pumps. This tension generally resolved in favor of development, which unintentionally diminished and contaminated the water supply while deepening existing rural social inequalities by dividing people into water haves and have-nots, regardless of their access to land. By uncovering the varied motivations behind the Mexican government’s decision to use invasive and damaging technologies despite knowing they were ecologically unsustainable, Wolfe tells a cautionary tale of the long-term consequences of short-sighted development policies.

Working Together

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Publisher : Duke University Press
ISBN 13 : 9781934351178
Total Pages : 0 pages
Book Rating : 4.3/5 (511 download)

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Book Synopsis Working Together by : Sarah L. Eckhardt

Download or read book Working Together written by Sarah L. Eckhardt and published by Duke University Press. This book was released on 2020 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Working Together: Louis Draper and the Kamoinge Workshop accompanies the exhibition of the photography of Virginia artist Louis Draper and other members of the Kamoinge Workshop to be presented by the Virginia Museum of Fine Arts in January, 2020.

Intelligent Music Teaching

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Publisher : Ingram
ISBN 13 : 9780977113903
Total Pages : 178 pages
Book Rating : 4.1/5 (139 download)

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Book Synopsis Intelligent Music Teaching by : Robert A. Duke

Download or read book Intelligent Music Teaching written by Robert A. Duke and published by Ingram. This book was released on 2005 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this collection of essays, the author describes fundamental principles of human learning in the context of teaching music. Written in a conversational style, the individual essays outline the elements of intelligent, creative teaching. Duke effectively explains how teachers can meet the needs of individual students from a wide range of abilities by understanding more deeply how people learn. Teachers and interested parents alike will benefit from this informative book.

Finite Fields

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Publisher :
ISBN 13 :
Total Pages : 352 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Finite Fields by : Dieter Jungnickel

Download or read book Finite Fields written by Dieter Jungnickel and published by . This book was released on 1993 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: