Doing Mathematics Convention Subject Calculation Analogy

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Doing Mathematics: Convention, Subject, Calculation, Analogy (2nd Edition)

Author : Martin H Krieger
Publisher : World Scientific
ISBN 13 : 9814571865
Total Pages : 492 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Doing Mathematics: Convention, Subject, Calculation, Analogy (2nd Edition) by : Martin H Krieger

Download or read book Doing Mathematics: Convention, Subject, Calculation, Analogy (2nd Edition) written by Martin H Krieger and published by World Scientific. This book was released on 2015-01-15 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: Doing Mathematics discusses some ways mathematicians and mathematical physicists do their work and the subject matters they uncover and fashion. The conventions they adopt, the subject areas they delimit, what they can prove and calculate about the physical world, and the analogies they discover and employ, all depend on the mathematics — what will work out and what won't. The cases studied include the central limit theorem of statistics, the sound of the shape of a drum, the connections between algebra and topology, and the series of rigorous proofs of the stability of matter. The many and varied solutions to the two-dimensional Ising model of ferromagnetism make sense as a whole when they are seen in an analogy developed by Richard Dedekind in the 1880s to algebraicize Riemann's function theory; by Robert Langlands' program in number theory and representation theory; and, by the analogy between one-dimensional quantum mechanics and two-dimensional classical statistical mechanics. In effect, we begin to see 'an identity in a manifold presentation of profiles,' as the phenomenologists would say.This second edition deepens the particular examples; it describe the practical role of mathematical rigor; it suggests what might be a mathematician's philosophy of mathematics; and, it shows how an 'ugly' first proof or derivation embodies essential features, only to be appreciated after many subsequent proofs. Natural scientists and mathematicians trade physical models and abstract objects, remaking them to suit their needs, discovering new roles for them as in the recent case of the Painlevé transcendents, the Tracy-Widom distribution, and Toeplitz determinants. And mathematics has provided the models and analogies, the ordinary language, for describing the everyday world, the structure of cities, or God's infinitude.

Doing Mathematics

Author : Martin H. Krieger
Publisher : World Scientific Publishing Company
ISBN 13 : 9789814571845
Total Pages : 0 pages
Book Rating : 4.5/5 (718 download)

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Book Synopsis Doing Mathematics by : Martin H. Krieger

Download or read book Doing Mathematics written by Martin H. Krieger and published by World Scientific Publishing Company. This book was released on 2015 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Doing Mathematics discusses some ways mathematicians and mathematical physicists do their work and the subject matters they uncover and fashion. The conventions they adopt, the subject areas they delimit, what they can prove and calculate about the physical world, and the analogies they discover and employ, all depend on the mathematics -- what will work out and what won't. The cases studied include the central limit theorem of statistics, the sound of the shape of a drum, the connections between algebra and topology, and the series of rigorous proofs of the stability of matter. The many and varied solutions to the two-dimensional Ising model of ferromagnetism make sense as a whole when they are seen in an analogy developed by Richard Dedekind in the 1880s to algebraicize Riemann's function theory; by Robert Langlands' program in number theory and representation theory; and, by the analogy between one-dimensional quantum mechanics and two-dimensional classical statistical mechanics. In effect, we begin to see "an identity in a manifold presentation of profiles," as the phenomenologists would say. This second edition deepens the particular examples; it describe the practical role of mathematical rigor; it suggests what might be a mathematician's philosophy of mathematics; and, it shows how an "ugly" first proof or derivation embodies essential features, only to be appreciated after many subsequent proofs. Natural scientists and mathematicians trade physical models and abstract objects, remaking them to suit their needs, discovering new roles for them as in the recent case of the Painlevé transcendents, the Tracy-Widom distribution, and Toeplitz determinants. And mathematics has provided the models and analogies, the ordinary language, for describing the everyday world, the structure of cities, or God's infinitude.

Proceedings of the Second International Scientific Conference “Intelligent Information Technologies for Industry” (IITI’17)

Author : Ajith Abraham
Publisher : Springer
ISBN 13 : 3319683241
Total Pages : 480 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Proceedings of the Second International Scientific Conference “Intelligent Information Technologies for Industry” (IITI’17) by : Ajith Abraham

Download or read book Proceedings of the Second International Scientific Conference “Intelligent Information Technologies for Industry” (IITI’17) written by Ajith Abraham and published by Springer. This book was released on 2017-09-30 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume of Advances in Intelligent Systems and Computing highlights key scientific achievements and innovations in all areas of automation, informatization, computer science, and artificial intelligence. It gathers papers presented at the IITI 2017, the Second International Conference on Intelligent Information Technologies for Industry, which was held in Varna, Bulgaria on September 14–16, 2017. The conference was jointly co-organized by Technical University of Varna (Bulgaria), Technical University of Sofia (Bulgaria), VSB Technical University of Ostrava (Czech Republic) and Rostov State Transport University (Russia). The IITI 2017 brought together international researchers and industrial practitioners interested in the development and implementation of modern technologies for automation, informatization, computer science, artificial intelligence, transport and power electrical engineering. In addition to advancing both fundamental research and innovative applications, the conference is intended to establish a new dissemination platform and an international network of researchers in these fields.

Primes and Particles

Author : Martin H. Krieger
Publisher : Springer Nature
ISBN 13 : 3031497767
Total Pages : 109 pages
Book Rating : 4.0/5 (314 download)

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Book Synopsis Primes and Particles by : Martin H. Krieger

Download or read book Primes and Particles written by Martin H. Krieger and published by Springer Nature. This book was released on with total page 109 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Doing Physics

Author : Martin H. Krieger
Publisher : Indiana University Press
ISBN 13 : 0253006082
Total Pages : 247 pages
Book Rating : 4.2/5 (53 download)

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Book Synopsis Doing Physics by : Martin H. Krieger

Download or read book Doing Physics written by Martin H. Krieger and published by Indiana University Press. This book was released on 2012-11-19 with total page 247 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author of Doing Mathematics explores the concepts of physics by demonstrating how physicists think and approach their work. Doing Physics makes concepts of physics easier to grasp by relating them to everyday knowledge. Addressing some of the models and metaphors that physicists use to explain the physical world, Martin H. Krieger describes the conceptual world of physics by means of analogies to economics, anthropology, theater, carpentry, mechanical systems, and machine tool design. Krieger explains the interaction of elementary particles by referring to the theory of kinship: who can marry whom is similar to what can interact with what. Likewise, the description of physical situations in terms of interdependent particles and fields is analogous to the design of a factory with its division of labor among specialists. For this new edition, Krieger has revised the text and added a chapter on the role of mathematics and formal models in physics. “Krieger . . . excellently tells those in our human society outside the physics world how physicists think, plan, and go about understanding nature.” —Choice

Handbook of the History and Philosophy of Mathematical Practice

Author : Bharath Sriraman
Publisher : Springer Nature
ISBN 13 : 3031408462
Total Pages : 3221 pages
Book Rating : 4.0/5 (314 download)

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Book Synopsis Handbook of the History and Philosophy of Mathematical Practice by : Bharath Sriraman

Download or read book Handbook of the History and Philosophy of Mathematical Practice written by Bharath Sriraman and published by Springer Nature. This book was released on with total page 3221 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Philosophy of Mathematical Practice

Author : Paolo Mancosu
Publisher : Oxford University Press on Demand
ISBN 13 : 0199296456
Total Pages : 460 pages
Book Rating : 4.1/5 (992 download)

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Book Synopsis The Philosophy of Mathematical Practice by : Paolo Mancosu

Download or read book The Philosophy of Mathematical Practice written by Paolo Mancosu and published by Oxford University Press on Demand. This book was released on 2008-06-19 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt: There is an urgent need in philosophy of mathematics for new approaches which pay closer attention to mathematical practice. This book will blaze the trail: it offers philosophical analyses of important characteristics of contemporary mathematics and of many aspects of mathematical activity which escape purely formal logical treatment.

Shelter Island II

Author : Roman Jackiw
Publisher : Courier Dover Publications
ISBN 13 : 0486797368
Total Pages : 436 pages
Book Rating : 4.4/5 (867 download)

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Book Synopsis Shelter Island II by : Roman Jackiw

Download or read book Shelter Island II written by Roman Jackiw and published by Courier Dover Publications. This book was released on 2016-02-17 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1947 J. Robert Oppenheimer organized a historic conference of physicists at Shelter Island, located off the eastern tip of Long Island, to discuss recent advances in theoretical physics and the direction of future research. Over three decades later, the physics community held another meeting, the 1983 Shelter Island Conference on Quantum Field Theory and the Fundamental Problems of Physics. This volume is the record of the 1983 conference; it also includes much valuable information on the 1947 conference, for which no formal proceedings were ever published. The latter-day conference included many of the participants from the prior event as well as younger physicists who have since become prominent figures in this field. Consequently, this volume is a vital document in the history of physics, of value to students and researchers in many branches of the subject. Topics include the new inflationary universe scenario; supersymmetry; Stephen Hawking's presentation, "The Cosmological Constant Is Probably Zero"; superunification and the seven-sphere; time as a dynamical variab≤ induced gravity; and an extensive and previously unpublished paper by Edward Witten on Kaluza-Klein theories. Contributors include Stephen L. Adler, Hans Bethe, M. J. Duff, Murray Gell-Mann, Alan H. Guth, Stephen W. Hawking, Roman Jackiw, Toichiro Kinoshita, W. E. Lamb, Jr., T. D. Lee, A. D. Linde, R. E. Marshak, Y. Nambu, K. Nishijima, John H. Schwarz, Silvan S. Schweber, Steven Weinberg, Victor Weisskopf, P. C. West, Edward Witten, and Bruno Zumino.

A Creative Philosophy of Anticipation

Author : Jamie Brassett
Publisher : Routledge
ISBN 13 : 1000376087
Total Pages : 282 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis A Creative Philosophy of Anticipation by : Jamie Brassett

Download or read book A Creative Philosophy of Anticipation written by Jamie Brassett and published by Routledge. This book was released on 2021-04-26 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edited collection highlights the valuable ontological and creative insights gathered from anticipation studies, which orients itself to the future in order to recreate the present. The gathered essays engage with many writers from speculative metaphysics to poetic philosophy, ancient writing systems to the fringes of pataphysics. The book situates itself as a creative intervention in and with various thinkers, designers, artists, scientists and poets to offer insight into ways of anticipating. It brings together philosophical practices for which creativity is both a fundamental area of consideration and a mode of working, a characterization of recent Continental Philosophy which takes a departure from traditional futures studies thinking. This book will be of interest to scholars and research in futures studies, anticipation, philosophy, creative practice and theories about creative practice, as well as the intersections between philosophy, creativity and business.

The Year of Our Lord 1943

Author : Alan Jacobs
Publisher : Oxford University Press
ISBN 13 : 0190864656
Total Pages : 281 pages
Book Rating : 4.1/5 (98 download)

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Book Synopsis The Year of Our Lord 1943 by : Alan Jacobs

Download or read book The Year of Our Lord 1943 written by Alan Jacobs and published by Oxford University Press. This book was released on 2018 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Year of Our Lord 1943 tells the story of how five Christian intellectuals - Jacques Maritain, T. S. Eliot, C. S. Lewis, W. H. Auden, and Simone Weil - sought to provide a plan for the moral and spiritual renewal of the Western democracies in the post-World War II world.

Mathematical Reviews

Author :
Publisher :
ISBN 13 :
Total Pages : 892 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 2008 with total page 892 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Shifting Paradigms

Author : Alexander Blum
Publisher :
ISBN 13 :
Total Pages : 404 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis Shifting Paradigms by : Alexander Blum

Download or read book Shifting Paradigms written by Alexander Blum and published by . This book was released on 2016 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: The publication of Thomas S. Kuhn's "Structure of Scientific Revolutions" in 1962 stands for a turning point in the history and philosophy of science. The repercussions of this work have rearticulated the theoretical framework of history and philosophy of science and have also generated discussions that contributed to the formation of the communities of historians as well as philosophers of science in many parts of the world. Different approaches to history of science have since emerged and most of them have the "Structure" as their reference point. In October 2012, a conference at the Max Planck Institute for the History of Science brought together some of the historians of science whose work has played a decisive role in the ways history of science has evolved as a field of research in the past 50 years, both intellectually and institutionally. This volume gathers reflections by many of these historians on the history of the history of science, based on the presentations and discussions at the conference. The topics covered range from personal recollections of working with Thomas Kuhn to broad overviews of the historical development of the history of science as a discipline in the past half-century. The series Proceedings of the Max Planck Research Library for the History and Development of Knowledge presents the results of scientific meetings on current issues and supports further cooperation on these issues via an electronic platform. The volumes are available both as print-on-demand books and as open-access publications on the Internet. The material is freely accessible online at www.edition-open-access.de.

The Philosopher's Index

Author :
Publisher :
ISBN 13 :
Total Pages : 1160 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis The Philosopher's Index by :

Download or read book The Philosopher's Index written by and published by . This book was released on 2007 with total page 1160 pages. Available in PDF, EPUB and Kindle. Book excerpt: Vols. for 1969- include a section of abstracts.

The Writers Directory

Author :
Publisher :
ISBN 13 :
Total Pages : 690 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis The Writers Directory by :

Download or read book The Writers Directory written by and published by . This book was released on 2013 with total page 690 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Towards a Philosophy of Real Mathematics

Author : David Corfield
Publisher : Cambridge University Press
ISBN 13 : 1139436392
Total Pages : 300 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Towards a Philosophy of Real Mathematics by : David Corfield

Download or read book Towards a Philosophy of Real Mathematics written by David Corfield and published by Cambridge University Press. This book was released on 2003-04-24 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this ambitious study, David Corfield attacks the widely held view that it is the nature of mathematical knowledge which has shaped the way in which mathematics is treated philosophically and claims that contingent factors have brought us to the present thematically limited discipline. Illustrating his discussion with a wealth of examples, he sets out a variety of approaches to new thinking about the philosophy of mathematics, ranging from an exploration of whether computers producing mathematical proofs or conjectures are doing real mathematics, to the use of analogy, the prospects for a Bayesian confirmation theory, the notion of a mathematical research programme and the ways in which new concepts are justified. His inspiring book challenges both philosophers and mathematicians to develop the broadest and richest philosophical resources for work in their disciplines and points clearly to the ways in which this can be done.

Books in Print Supplement

Author :
Publisher :
ISBN 13 :
Total Pages : 2576 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Books in Print Supplement by :

Download or read book Books in Print Supplement written by and published by . This book was released on 2002 with total page 2576 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Street-Fighting Mathematics

Author : Sanjoy Mahajan
Publisher : MIT Press
ISBN 13 : 0262265591
Total Pages : 152 pages
Book Rating : 4.2/5 (622 download)

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Book Synopsis Street-Fighting Mathematics by : Sanjoy Mahajan

Download or read book Street-Fighting Mathematics written by Sanjoy Mahajan and published by MIT Press. This book was released on 2010-03-05 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: An antidote to mathematical rigor mortis, teaching how to guess answers without needing a proof or an exact calculation. In problem solving, as in street fighting, rules are for fools: do whatever works—don't just stand there! Yet we often fear an unjustified leap even though it may land us on a correct result. Traditional mathematics teaching is largely about solving exactly stated problems exactly, yet life often hands us partly defined problems needing only moderately accurate solutions. This engaging book is an antidote to the rigor mortis brought on by too much mathematical rigor, teaching us how to guess answers without needing a proof or an exact calculation. In Street-Fighting Mathematics, Sanjoy Mahajan builds, sharpens, and demonstrates tools for educated guessing and down-and-dirty, opportunistic problem solving across diverse fields of knowledge—from mathematics to management. Mahajan describes six tools: dimensional analysis, easy cases, lumping, picture proofs, successive approximation, and reasoning by analogy. Illustrating each tool with numerous examples, he carefully separates the tool—the general principle—from the particular application so that the reader can most easily grasp the tool itself to use on problems of particular interest. Street-Fighting Mathematics grew out of a short course taught by the author at MIT for students ranging from first-year undergraduates to graduate students ready for careers in physics, mathematics, management, electrical engineering, computer science, and biology. They benefited from an approach that avoided rigor and taught them how to use mathematics to solve real problems. Street-Fighting Mathematics will appear in print and online under a Creative Commons Noncommercial Share Alike license.