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

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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

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Author :
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.

Primes and Particles

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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, Second Edition

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Author :
Publisher : Indiana University Press
ISBN 13 : 0253006074
Total Pages : 249 pages
Book Rating : 4.2/5 (53 download)

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Book Synopsis Doing Physics, Second Edition by : Martin H. Krieger

Download or read book Doing Physics, Second Edition written by Martin H. Krieger and published by Indiana University Press. This book was released on 2012-11-19 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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, mechanisms such as clockworks, and machine tool design. The interaction of elementary particles or chemical species, for example, can be related to the theory of kinship—who can marry whom is like 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 the new edition, Krieger has revised the text and added a chapter on the role of mathematics and formal models in physics. Doing Physics will be of special interest to economists, political theorists, anthropologists, and sociologists as well as philosophers of science.

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

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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.

Shelter Island II

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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.

Handbook of the History and Philosophy of Mathematical Practice

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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:

A Creative Philosophy of Anticipation

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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

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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

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Publisher :
ISBN 13 :
Total Pages : 840 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 840 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Writers Directory

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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:

Books in Print Supplement

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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:

The Philosopher's Index

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Publisher :
ISBN 13 :
Total Pages : 1248 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 1248 pages. Available in PDF, EPUB and Kindle. Book excerpt: Vols. for 1969- include a section of abstracts.

Resources in Education

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Publisher :
ISBN 13 :
Total Pages : 334 pages
Book Rating : 4.:/5 (3 download)

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Book Synopsis Resources in Education by :

Download or read book Resources in Education written by and published by . This book was released on 1998 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Teaching Mathematics in Grades 6 - 12

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Publisher : SAGE Publications
ISBN 13 : 1452256020
Total Pages : 513 pages
Book Rating : 4.4/5 (522 download)

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Book Synopsis Teaching Mathematics in Grades 6 - 12 by : Randall E. Groth

Download or read book Teaching Mathematics in Grades 6 - 12 written by Randall E. Groth and published by SAGE Publications. This book was released on 2012-08-10 with total page 513 pages. Available in PDF, EPUB and Kindle. Book excerpt: Teaching Mathematics in Grades 6 - 12 by Randall E. Groth explores how research in mathematics education can inform teaching practice in grades 6-12. The author shows preservice mathematics teachers the value of being a "researcher—constantly experimenting with methods for developing students' mathematical thinking—and connecting this research to practices that enhance students' understanding of the material. Ultimately, preservice teachers will gain a deeper understanding of the types of mathematical knowledge students bring to school, and how students' thinking may develop in response to different teaching strategies.

The Computer Music Tutorial, second edition

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Publisher : MIT Press
ISBN 13 : 026236154X
Total Pages : 1287 pages
Book Rating : 4.2/5 (623 download)

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Book Synopsis The Computer Music Tutorial, second edition by : Curtis Roads

Download or read book The Computer Music Tutorial, second edition written by Curtis Roads and published by MIT Press. This book was released on 2023-06-06 with total page 1287 pages. Available in PDF, EPUB and Kindle. Book excerpt: Expanded, updated, and fully revised—the definitive introduction to electronic music is ready for new generations of students. Essential and state-of-the-art, The Computer Music Tutorial, second edition is a singular text that introduces computer and electronic music, explains its motivations, and puts topics into context. Curtis Roads’s step-by-step presentation orients musicians, engineers, scientists, and anyone else new to computer and electronic music. The new edition continues to be the definitive tutorial on all aspects of computer music, including digital audio, signal processing, musical input devices, performance software, editing systems, algorithmic composition, MIDI, and psychoacoustics, but the second edition also reflects the enormous growth of the field since the book’s original publication in 1996. New chapters cover up-to-date topics like virtual analog, pulsar synthesis, concatenative synthesis, spectrum analysis by atomic decomposition, Open Sound Control, spectrum editors, and instrument and patch editors. Exhaustively referenced and cross-referenced, the second edition adds hundreds of new figures and references to the original charts, diagrams, screen images, and photographs in order to explain basic concepts and terms. Features New chapters: virtual analog, pulsar synthesis, concatenative synthesis, spectrum analysis by atomic decomposition, Open Sound Control, spectrum editors, instrument and patch editors, and an appendix on machine learning Two thousand references support the book’s descriptions and point readers to further study Mathematical notation and program code examples used only when necessary Twenty-five years of classroom, seminar, and workshop use inform the pace and level of the material

Subject Guide to Books in Print

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Publisher :
ISBN 13 :
Total Pages : 2476 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Subject Guide to Books in Print by :

Download or read book Subject Guide to Books in Print written by and published by . This book was released on 1996 with total page 2476 pages. Available in PDF, EPUB and Kindle. Book excerpt: