The Relevance of René Thom

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Publisher : Springer Nature
ISBN 13 : 3031549821
Total Pages : 221 pages
Book Rating : 4.0/5 (315 download)

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Book Synopsis The Relevance of René Thom by : Isabel Marcos

Download or read book The Relevance of René Thom written by Isabel Marcos and published by Springer Nature. This book was released on with total page 221 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Structural Stability And Morphogenesis

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Publisher : CRC Press
ISBN 13 : 042996157X
Total Pages : 404 pages
Book Rating : 4.4/5 (299 download)

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Book Synopsis Structural Stability And Morphogenesis by : Rene Thom

Download or read book Structural Stability And Morphogenesis written by Rene Thom and published by CRC Press. This book was released on 2018-03-05 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: First Published in 2018. Routledge is an imprint of Taylor & Francis, an Informa company.

Catastrophe Theoretic Semantics

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Publisher : John Benjamins Publishing
ISBN 13 : 9027280606
Total Pages : 130 pages
Book Rating : 4.0/5 (272 download)

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Book Synopsis Catastrophe Theoretic Semantics by : Wolfgang Wildgen

Download or read book Catastrophe Theoretic Semantics written by Wolfgang Wildgen and published by John Benjamins Publishing. This book was released on 1982-01-01 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: René Thom, the famous French mathematician and founder of catastrophe theory, considered linguistics an exemplary field for the application of his general morphology. It is surprising that physicists, chemists, biologists, psychologists and sociologists are all engaged in the field of catastrophe theory, but that there has been almost no echo from linguistics. Meanwhile linguistics has evolved in the direction of René Thom’s intuitions about an integrated science of language and it has become a necessary task to review, update and elaborate the proposals made by Thom and to embed them in the framework of modern semantic theory.

Semio Physics

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Publisher : Addison Wesley Publishing Company
ISBN 13 :
Total Pages : 298 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Semio Physics by : René Thom

Download or read book Semio Physics written by René Thom and published by Addison Wesley Publishing Company. This book was released on 1990 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Catastrophe Theory

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Publisher : CRC Press
ISBN 13 : 0429970358
Total Pages : 281 pages
Book Rating : 4.4/5 (299 download)

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Book Synopsis Catastrophe Theory by : Domencio Castrigiano

Download or read book Catastrophe Theory written by Domencio Castrigiano and published by CRC Press. This book was released on 2019-06-03 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: Catastrophe Theory was introduced in the 1960s by the renowned Fields Medal mathematician René Thom as a part of the general theory of local singularities. Since then it has found applications across many areas, including biology, economics, and chemical kinetics. By investigating the phenomena of bifurcation and chaos, Catastrophe Theory proved to

The Seduction of Curves

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Publisher : Princeton University Press
ISBN 13 : 0691175330
Total Pages : 168 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis The Seduction of Curves by : Allan McRobie

Download or read book The Seduction of Curves written by Allan McRobie and published by Princeton University Press. This book was released on 2017-09-19 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this large-format book, lavishly illustrated in color throughout, Allan McRobie takes the reader on an alluring exploration of the beautiful curves that shape our world--from our bodies to Salvador Dalí's paintings and the space-time fabric of the universe itself. The book focuses on seven curves--the fold, cusp, swallowtail, and butterfly, plus the hyperbolic, elliptical, and parabolic "umbilics"--and describes the surprising origins of their taxonomy in the catastrophe theory of mathematician René Thom.

Developments in Mathematical Education

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Publisher : Cambridge University Press
ISBN 13 : 9780521201902
Total Pages : 327 pages
Book Rating : 4.2/5 (19 download)

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Book Synopsis Developments in Mathematical Education by : A. G. Howson

Download or read book Developments in Mathematical Education written by A. G. Howson and published by Cambridge University Press. This book was released on 1973-08-23 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book surveys the work of the Second International Congress on Mathematical Education, and presents it as a picture of developing trends in mathematical education. At the end of August 1972 around 1400 people from seventy-three countries gathered for the Second International Congress on Mathematical Education in Exeter, UK. This book surveys the work of this conference, and presents it as a picture of developing trends in mathematical education. A number of themes emerged from the Congress. For example, there was great concern with the relationship between mathematics and the way in which the formation of mathematical concepts in affected by the use of language or the means in which children form the concepts from which mathematics can be drawn.

Catastrophe Theory for Scientists and Engineers

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Publisher : Courier Corporation
ISBN 13 : 9780486675398
Total Pages : 696 pages
Book Rating : 4.6/5 (753 download)

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Book Synopsis Catastrophe Theory for Scientists and Engineers by : Robert Gilmore

Download or read book Catastrophe Theory for Scientists and Engineers written by Robert Gilmore and published by Courier Corporation. This book was released on 1993-01-01 with total page 696 pages. Available in PDF, EPUB and Kindle. Book excerpt: This advanced-level treatment describes the mathematics of catastrophe theory and its applications to problems in mathematics, physics, chemistry and engineering. 28 tables. 397 black-and-white illustrations. 1981 edition.

Fields Medallists' Lectures

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Publisher : World Scientific
ISBN 13 : 9814497517
Total Pages : 644 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Fields Medallists' Lectures by : Michael Atiyah

Download or read book Fields Medallists' Lectures written by Michael Atiyah and published by World Scientific. This book was released on 1997-10-13 with total page 644 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although the Fields Medal does not have the same public recognition as the Nobel Prizes, they share a similar intellectual standing. It is restricted to one field - that of mathematics - and an age limit of 40 has become an accepted tradition. Mathematics has in the main been interpreted as pure mathematics, and this is not so unreasonable since major contributions in some applied areas can be (and have been) recognized with Nobel Prizes. The restriction to 40 years is of marginal significance, since most mathematicians have made their mark long before this age.A list of Fields Medallists and their contributions provides a bird's eye view of mathematics over the past 60 years. It highlights the areas in which, at various times, greatest progress has been made. This volume does not pretend to be comprehensive, nor is it a historical document. On the other hand, it presents contributions from 22 Fields Medallists and so provides a highly interesting and varied picture.The contributions themselves represent the choice of the individual Medallists. In some cases the articles relate directly to the work for which the Fields Medals were awarded. In other cases new articles have been produced which relate to more current interests of the Medallists. This indicates that while Fields Medallists must be under 40 at the time of the award, their mathematical development goes well past this age. In fact the age limit of 40 was chosen so that young mathematicians would be encouraged in their future work.The Fields Medallists' Lectures is now available on CD-ROM. Sections can be accessed at the touch of a button, and similar topics grouped together using advanced keyword searches.

Geometry in History

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Publisher : Springer Nature
ISBN 13 : 3030136094
Total Pages : 759 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Geometry in History by : S. G. Dani

Download or read book Geometry in History written by S. G. Dani and published by Springer Nature. This book was released on 2019-10-18 with total page 759 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a collection of surveys on important mathematical ideas, their origin, their evolution and their impact in current research. The authors are mathematicians who are leading experts in their fields. The book is addressed to all mathematicians, from undergraduate students to senior researchers, regardless of the specialty.

The Mathematician's Brain

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Publisher : Princeton University Press
ISBN 13 : 9780691129822
Total Pages : 180 pages
Book Rating : 4.1/5 (298 download)

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Book Synopsis The Mathematician's Brain by : David Ruelle

Download or read book The Mathematician's Brain written by David Ruelle and published by Princeton University Press. This book was released on 2007-08-05 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: Examines mathematical ideas and the visionary minds behind them. This book provides an account of celebrated mathematicians and their quirks, oddities, personal tragedies, bad behavior, descents into madness, tragic ends, and the beauty of their mathematical discoveries.

Structural Stability in Physics

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Publisher : Springer Science & Business Media
ISBN 13 : 3642673635
Total Pages : 309 pages
Book Rating : 4.6/5 (426 download)

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Book Synopsis Structural Stability in Physics by : G. Güttinger

Download or read book Structural Stability in Physics written by G. Güttinger and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is the record and product of two International Symposia on the Appli cation of Catastrophe Theory and Topological Concepts in Physics, held in May and December 1978 at the Institute for Information Sciences, University of TUbingen. The May Symposium centered around the conferral of an honorary doctorate upon Professor Rene Thom, Paris, by the Faculty of Physics of the University of TUbingen in recognition of his discovery of universal structure principles and the new di mension he has added to scientific knowledge by his pioneering work on structural stability and morphogenesis. Owing to the broad scope and rapid development of the field, the May Sympos,ium was followed in December by a second one on the same sub jects. The symposia, attended by more than 50 scientists, brought together mathe maticians, physicists, chemists and biologists to exchange ideas about the recent faSCinating impact of topological concepts on the physical sciences, and also to introduce young scientists to the field. The contributions, covering a wide spectrum, are summarized in the subsequent Introduction. The primary support of the Symposia was provided by the "Vereinigung der Freunde der Univertat TUbingen" (Association of the Benefactors of the University). We are particularly indebted to Dr. H. Doerner for his personal engagement and efficient help with the projects, both in his capacity as Secretary of the Association and as Administrative Director of the University.

Morphogenesis

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Publisher : Springer Science & Business Media
ISBN 13 : 3642131743
Total Pages : 353 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Morphogenesis by : Paul Bourgine

Download or read book Morphogenesis written by Paul Bourgine and published by Springer Science & Business Media. This book was released on 2010-10-28 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: What are the relations between the shape of a system of cities and that of fish school? Which events should happen in a cell in order that it participates to one of the finger of our hands? How to interpret the shape of a sand dune? This collective book written for the non-specialist addresses these questions and more generally, the fundamental issue of the emergence of forms and patterns in physical and living systems. It is a single book gathering the different aspects of morphogenesis and approaches developed in different disciplines on shape and pattern formation. Relying on the seminal works of D’Arcy Thompson, Alan Turing and René Thom, it confronts major examples like plant growth and shape, intra-cellular organization, evolution of living forms or motifs generated by crystals. A book essential to understand universal principles at work in the shapes and patterns surrounding us but also to avoid spurious analogies.

Parables, Parabolas and Catastrophes

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Publisher :
ISBN 13 : 9780993926907
Total Pages : pages
Book Rating : 4.9/5 (269 download)

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Book Synopsis Parables, Parabolas and Catastrophes by : René Thom

Download or read book Parables, Parabolas and Catastrophes written by René Thom and published by . This book was released on 2014 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Singularities and Groups in Bifurcation Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 146125034X
Total Pages : 480 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Singularities and Groups in Bifurcation Theory by : Martin Golubitsky

Download or read book Singularities and Groups in Bifurcation Theory written by Martin Golubitsky and published by Springer Science & Business Media. This book was released on 2013-11-27 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book has been written in a frankly partisian spirit-we believe that singularity theory offers an extremely useful approach to bifurcation prob lems and we hope to convert the reader to this view. In this preface we will discuss what we feel are the strengths of the singularity theory approach. This discussion then Ieads naturally into a discussion of the contents of the book and the prerequisites for reading it. Let us emphasize that our principal contribution in this area has been to apply pre-existing techniques from singularity theory, especially unfolding theory and classification theory, to bifurcation problems. Many ofthe ideas in this part of singularity theory were originally proposed by Rene Thom; the subject was then developed rigorously by John Matherand extended by V. I. Arnold. In applying this material to bifurcation problems, we were greatly encouraged by how weil the mathematical ideas of singularity theory meshed with the questions addressed by bifurcation theory. Concerning our title, Singularities and Groups in Bifurcation Theory, it should be mentioned that the present text is the first volume in a two-volume sequence. In this volume our emphasis is on singularity theory, with group theory playing a subordinate role. In Volume II the emphasis will be more balanced. Having made these remarks, Iet us set the context for the discussion of the strengths of the singularity theory approach to bifurcation. As we use the term, bifurcation theory is the study of equations with multiple solutions.

Elements of Neurogeometry

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Publisher : Springer
ISBN 13 : 3319655914
Total Pages : 388 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Elements of Neurogeometry by : Jean Petitot

Download or read book Elements of Neurogeometry written by Jean Petitot and published by Springer. This book was released on 2017-11-08 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes several mathematical models of the primary visual cortex, referring them to a vast ensemble of experimental data and putting forward an original geometrical model for its functional architecture, that is, the highly specific organization of its neural connections. The book spells out the geometrical algorithms implemented by this functional architecture, or put another way, the “neurogeometry” immanent in visual perception. Focusing on the neural origins of our spatial representations, it demonstrates three things: firstly, the way the visual neurons filter the optical signal is closely related to a wavelet analysis; secondly, the contact structure of the 1-jets of the curves in the plane (the retinal plane here) is implemented by the cortical functional architecture; and lastly, the visual algorithms for integrating contours from what may be rather incomplete sensory data can be modelled by the sub-Riemannian geometry associated with this contact structure. As such, it provides readers with the first systematic interpretation of a number of important neurophysiological observations in a well-defined mathematical framework. The book’s neuromathematical exploration appeals to graduate students and researchers in integrative-functional-cognitive neuroscience with a good mathematical background, as well as those in applied mathematics with an interest in neurophysiology.

Mathematics and Humor

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Publisher : University of Chicago Press
ISBN 13 : 0226650235
Total Pages : 126 pages
Book Rating : 4.2/5 (266 download)

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Book Synopsis Mathematics and Humor by : John Allen Paulos

Download or read book Mathematics and Humor written by John Allen Paulos and published by University of Chicago Press. This book was released on 2008-08-04 with total page 126 pages. Available in PDF, EPUB and Kindle. Book excerpt: John Allen Paulos cleverly scrutinizes the mathematical structures of jokes, puns, paradoxes, spoonerisms, riddles, and other forms of humor, drawing examples from such sources as Rabelais, Shakespeare, James Beattie, René Thom, Lewis Carroll, Arthur Koestler, W. C. Fields, and Woody Allen. "Jokes, paradoxes, riddles, and the art of non-sequitur are revealed with great perception and insight in this illuminating account of the relationship between humor and mathematics."—Joseph Williams, New York Times "'Leave your mind alone,' said a Thurber cartoon, and a really complete and convincing analysis of what humour is might spoil all jokes forever. This book avoids that danger. What it does. . .is describe broadly several kinds of mathematical theory and apply them to throw sidelights on how many kinds of jokes work."—New Scientist "Many scholars nowadays write seriously about the ludicrous. Some merely manage to be dull. A few—like Paulos—are brilliant in an odd endeavor."—Los Angeles Times Book Review