Differentiable Germs and Catastrophes PDF Download
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Author: Theodor Bröcker
Publisher: Cambridge University Press
ISBN: 0521206812
Category : Mathematics
Languages : en
Pages : 189
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Book Description
This book gives a fairly elementary introduction to the local theory of differentiable mappings and is suitable as a text for courses to graduates and advanced undergraduates.
Author: Theodor Bröcker
Publisher: Cambridge University Press
ISBN: 0521206812
Category : Mathematics
Languages : en
Pages : 189
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Book Description
This book gives a fairly elementary introduction to the local theory of differentiable mappings and is suitable as a text for courses to graduates and advanced undergraduates.
Author: Theodor Bröcker
Publisher:
ISBN: 9781107087057
Category : MATHEMATICS
Languages : en
Pages : 190
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Book Description
This book gives a fairly elementary introduction to the local theory of differentiable mappings and is suitable as a text for courses to graduates and advanced undergraduates.
Author: Michel Demazure
Publisher: Springer Science & Business Media
ISBN: 3642571344
Category : Mathematics
Languages : en
Pages : 304
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Book Description
Based on a lecture course, this text gives a rigorous introduction to nonlinear analysis, dynamical systems and bifurcation theory including catastrophe theory. Wherever appropriate it emphasizes a geometrical or coordinate-free approach allowing a clear focus on the essential mathematical structures. It brings out features common to different branches of the subject while giving ample references for more advanced or technical developments.
Author: James Montaldi
Publisher: Cambridge University Press
ISBN: 1107151643
Category : Mathematics
Languages : en
Pages : 449
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Book Description
This textbook gives a contemporary account of singularity theory and its principal application, bifurcation theory.
Author: Y.-C. Lu
Publisher: Springer Science & Business Media
ISBN: 1461299098
Category : Mathematics
Languages : en
Pages : 212
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Book Description
In April, 1975, I organised a conference at the Battelle Research Center, Seattle, Washington on the theme "Structural stability, catastrophe theory and their applications in the sciences". To this conference were invited a number of mathematicians concerned with the mathematical theories of structural stability and catastrophe theory, and other mathematicians whose principal interest lay in applications to various sciences - physical, biological, medical and social. Rene Thorn and Christopher Zeeman figured in the list of distinguished participants. The conference aroused considerable interest, and many mathematicians who were not specialists in the fields covered by the conference expressed their desire to attend the conference sessions; in addition, scientists from the Battelle laboratories came to Seattle to learn of developments in these areas and to consider possible applications to their own work. In view of the attendance of these mathematicians and scientists, and in order to enable the expositions of the experts to be intelligible to this wider audience, I invited Professor Yung Chen Lu, of Ohio State University, to come to Battelle Seattle in advance of the actual conference to deliver a series of informal lecture-seminars, explaining the background of the mathematical theory and indicating some of the actual and possible applications. In the event, Yung-Chen Lu delivered his lectures in the week preceding and the week following the actual conference, so that the first half of his course was preparatory and the second half explanatory and evaluative. These lecture notes constitute an expanded version of the course.
Author: Tim Poston
Publisher: Courier Corporation
ISBN: 0486143783
Category : Mathematics
Languages : en
Pages : 514
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Book Description
First integrated treatment of main ideas behind René Thom's theory of catastrophes stresses detailed applications in the physical sciences. Mathematics of theory explained with a minimum of technicalities. Over 200 illustrations clarify text designed for researchers and postgraduate students in engineering, mathematics, physics and biology. 1978 edition. Bibliography.
Author: Domencio Castrigiano
Publisher: CRC Press
ISBN: 0429970358
Category : Mathematics
Languages : en
Pages : 281
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Book Description
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
Author: A. Okninski
Publisher: Elsevier
ISBN: 0080868274
Category : Science
Languages : en
Pages : 303
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Book Description
This book aims to provide a straightforward introduction to chemical applications of the catastrophe theory. It is primarily intended for chemists interested in placing chemical reactions in the broader context of non-linear science, but it has a practical relevance for scientists in general. Catastrophe theory deals with those non-linear phenomena in which a continuous change in the control parameters results in a discontinuous alteration of a characteristic quantity of the system. The author discusses the origins of catastrophe theory, giving examples of occurrences in the areas of physics, chemistry and biology. Elementary theory and non-chemical applications are also described. The chemical kinetics and methods of analysis of chemical kinetic equations arising from elementary and generalized catastrophe theories are reviewed. Finally, the theory is applied to analyse and classify phenomena associated with the stability loss that may occur in chemical reactions. The book contains over 100 figures and an extensive subject index.
Author: Vladimir I. Arnol'd
Publisher: Springer Science & Business Media
ISBN: 3642969372
Category : Mathematics
Languages : en
Pages : 120
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Book Description
Author: Wolfgang Wildgen
Publisher: John Benjamins Publishing
ISBN: 9027280606
Category : Language Arts & Disciplines
Languages : en
Pages : 130
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Book Description
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.
