Kooperativer Bibliotheksverbund

UID:

Format: XVIII, 491 S. , Ill., graph. Darst. , 24 cm

Edition: Unabridged, unaltered republication of the work first published by Pitman Publishing, London 1978

ISBN: 048669271X , 9780486692715

Note: Originally published: London ; San Francisco : Pitman, 1978. (Surveys and reference works in mathematics ; 2) , This work, first published by Dover Publications, Inc. in 1996, is an unabridged, unaltered republication of the work first published by Pitman Publishing, Limited, London, 1978 , Literaturverz. S. 448 - 477 , Hier auch später erschienene, unveränderte Nachdrucke

Language: English

Keywords: Katastrophentheorie ; Katastrophentheorie ; Bibliografie

URL: http://www.loc.gov/catdir/description/dover033/96021795.html

UID:

Format: XVIII, 491 S. , Ill., graph. Darst. , 24 cm

Edition: Unabridged, unaltered republication of the work first published by Pitman Publishing, London 1978

ISBN: 048669271X , 9780486692715

Note: Originally published: London ; San Francisco : Pitman, 1978. (Surveys and reference works in mathematics ; 2) , This work, first published by Dover Publications, Inc. in 1996, is an unabridged, unaltered republication of the work first published by Pitman Publishing, Limited, London, 1978 , Literaturverz. S. 448 - 477 , Hier auch später erschienene, unveränderte Nachdrucke

Language: English

Keywords: Katastrophentheorie ; Katastrophentheorie ; Bibliografie

URL: http://www.loc.gov/catdir/description/dover033/96021795.html

UID:

Format: New edition 491 S. 165 x 234 mm 675 g

Edition: New edition

ISBN: 9780486692715 , 048669271X

Note: This work, first published by Dover Publications, Inc., in 1996, is an unabridged, unaltered republication of the work first published by Pitman Publishing Limited, London, 1978, in the series "Surveys and reference works in mathematics"

Language: English

Subjects: Mathematics

UID:

Format: Online-Ressource (1090 p)

ISBN: 9780486692715

Content: 〈DIV〉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.〈BR〉〈/DIV〉

Note: Description based upon print version of record , Cover; Title Page; Copyright Page; Dedication; Preface; Contents; 1 Smooth and sudden changes; 1 Catastrophes; 2 The Zeeman catastrophe machine; 3 Gravitational catastrophe machines; 4 Catastrophe theory; 2 Multidimensional geometry; 1 Set-theoretic notation; 2 Euclidean space; 3 Linear transformations; 4 Matrices; 5 Quadratic forms; 6 Two-variable cubic forms; 7 Polynomial geometry; 3 Multidimensional calculus; 1 Distance in Euclidean space; 2 The derivative as tangent; 3 Contours; 4 Partial derivatives; 5 Higher derivatives; 6 Taylor series; 7 Truncated algebra , 8 The Inverse Function Theorem9 The Implicit Function Theorem; 4 Critical points and transversality; 1 Critical points; 2 The Morse Lemma; 3 Functions of a single variable; 4 Functions of several variables; 5 The Splitting Lemma; 6 Structural stability; 7 Manifolds; 8 Transversality; 9 Transversality and stability; 10 Transversality for mappings; 11 Codimension; 5 Machines revisited; 1 The Zeeman machine; 2 The canonical cusp catastrophe; 3 Dynamics of the Zeeman machine; 4 The gravitational machines; 5 Formulation of a general problem; 6 Structural stability; 1 Equivalence of families , 2 Structural stability of families4 The Morse and Splitting Lemmas for families; 5 Catastrophe geometry; 3 Physical intercontenttations of structural stability; 7 Thom's classification theorem; 1 Functions and families of functions; 2 One-parameter families; 3 Non-transversality and symmetry; 4 Two-parameter families; 5 Three-, four- and five-parameter families; 6 Higher catastrophes; 7 Thom's theorem; 8 Determinacy and unfoldings; 1 Determinacy and strong determinacy; 2 One-variable jet spaces; 3 Infinitesimal changes of variable; 4 Weaker determinacy conditions , 5 Transformations that move the origin6 Tangency and transversality; 7 Codimension and unfoldings; 8 Transversality and universality; 9 Strong equivalence of unfoldings; 10 Numbers associated with singularities; 11 Inequalities; 12 Summary of results and calculation methods; 13 Examples and calculations; 14 Compulsory remarks on terminology; 9 The first seven catastrophe geometries; 1 The objects of study; 2 The fold catastrophe; 3 The cusp catastrophe; 4 The swallowtail catastrophe; 5 The butterfly catastrophe; 6 The elliptic umbilic; 7 The hyperbolic umbilic; 8 The parabolic umbilic , 9 Ruled surfaces10 Stability of ships; Static equilibrium; 1 Buoyancy; 2 Equilibrium; 3 Stability; 4 The vertical-sided ship; 5 Geometry of the buoyancy locus; 6 Metacentres; Ship shapes; 7 The elliptical ship; 8 The rectangular ship; 9 Three dimensions; 10 Oil-rigs; 11 Comparison with current methods; 11 The geometry of fluids; Background on fluid mechanics; 1 What we are describing; 2 Stream functions; 3 Examples of flows; 4 Rotation; 5 Complex variable methods; Stability and experiment; 6 Changes of variable; 7 Heuristic programme; 8 Experimental realization; Combing polymer molecules , 9 Non-Newtonian behaviour

Additional Edition: 9780486143781

Additional Edition: Print version Catastrophe Theory and Its Applications

Language: English

Keywords: Electronic books

URL: Volltext

URL: Volltext

UID:

Format: XVIII, 491 S. : Ill., graph. Darst. , 24 cm

ISBN: 048669271X

Note: Includes bibliographical references (p. 448-477) and index. - Originally published: London ; San Francisco : Pitman, 1978

Language: English

UID:

Format: XVIII, 492 S.

ISBN: 048669271X

Language: English

Subjects: Mathematics