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Author :
Publisher :
ISBN 13 :
Total Pages : 238 pages
Book Rating : 4.3/5 (91 download)
Download or read book Geometry and Topology of Caustics -- Caustics ... written by and published by . This book was released on 2006 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Stanisław Janeczko
Publisher :
ISBN 13 :
Total Pages : 324 pages
Book Rating : 4.5/5 (566 download)
Download or read book Geometry and Topology of Caustics written by Stanisław Janeczko and published by . This book was released on 1999 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Stanisław Janeczko
Publisher :
ISBN 13 :
Total Pages : 225 pages
Book Rating : 4.:/5 (17 download)
Download or read book Geometry and Topology of Caustics written by Stanisław Janeczko and published by . This book was released on 2008 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Stanisław Janeczko
Publisher :
ISBN 13 :
Total Pages : 270 pages
Book Rating : 4.E/5 ( download)
Download or read book Geometry and Topology of Caustics - Caustics '02 written by Stanisław Janeczko and published by . This book was released on 2004 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 225 pages
Book Rating : 4.:/5 (288 download)
Download or read book Geometry and Topology of Caustics - Caustics '06 written by and published by . This book was released on 2008 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Vladimir Arnold
Publisher : Springer Science & Business Media
ISBN 13 : 9401133301
Total Pages : 271 pages
Book Rating : 4.4/5 (11 download)
Download or read book Singularities of Caustics and Wave Fronts written by Vladimir Arnold and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt: One service mathematics has rendered the 'Et moi ...) si j'avait su comment en revenir, human race. It has put common sense back je n'y serais point aile.' Jules Verne where it belongs, on the topmost shelf next to the dusty canister labelled 'discarded non The series is divergent; therefore we may be sense'. ErieT. Bell able to do something with it. O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series.
Author :
Publisher :
ISBN 13 :
Total Pages : 268 pages
Book Rating : 4.3/5 (91 download)
Download or read book Geometry and Topology of Caustics -- Caustics ... written by and published by . This book was released on 2002 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Stanisław Janeczko
Publisher :
ISBN 13 :
Total Pages : 326 pages
Book Rating : 4.E/5 ( download)
Download or read book Geometry and Topology of Caustics written by Stanisław Janeczko and published by . This book was released on 1999 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Vladimir M.. Zakalyukin
Publisher :
ISBN 13 :
Total Pages : 320 pages
Book Rating : 4.:/5 (313 download)
Download or read book Geometry and Topology of Caustics written by Vladimir M.. Zakalyukin and published by . This book was released on 2000 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Vladimir Igorevich Arnolʹd
Publisher : American Mathematical Soc.
ISBN 13 : 0821803085
Total Pages : 70 pages
Book Rating : 4.8/5 (218 download)
Download or read book Topological Invariants of Plane Curves and Caustics written by Vladimir Igorevich Arnolʹd and published by American Mathematical Soc.. This book was released on 1994 with total page 70 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes recent progress in the topological study of plane curves. The theory of plane curves is much richer than knot theory, which may be considered the commutative version of the theory of plane curves. This study is based on singularity theory: the infinite-dimensional space of curves is subdivided by the discriminant hypersurfaces into parts consisting of generic curves of the same type. The invariants distinguishing the types are defined by their jumps at the crossings of these hypersurfaces. Arnold describes applications to the geometry of caustics and of wavefronts in symplectic and contact geometry. These applications extend the classical four-vertex theorem of elementary plane geometry to estimates on the minimal number of cusps necessary for the reversion of a wavefront and to generalizations of the last geometrical theorem of Jacobi on conjugated points on convex surfaces. These estimates open a new chapter in symplectic and contact topology: the theory of Lagrangian and Legendrian collapses, providing an unusual and far-reaching higher-dimensional extension of Sturm theory of the oscillations of linear combinations of eigenfunctions.
Author : V.I. Arnold
Publisher : Springer Science & Business Media
ISBN 13 : 1461251540
Total Pages : 390 pages
Book Rating : 4.4/5 (612 download)
Download or read book Singularities of Differentiable Maps written by V.I. Arnold and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: ... there is nothing so enthralling, so grandiose, nothing that stuns or captivates the human soul quite so much as a first course in a science. After the first five or six lectures one already holds the brightest hopes, already sees oneself as a seeker after truth. I too have wholeheartedly pursued science passionately, as one would a beloved woman. I was a slave, and sought no other sun in my life. Day and night I crammed myself, bending my back, ruining myself over my books; I wept when I beheld others exploiting science fot personal gain. But I was not long enthralled. The truth is every science has a beginning, but never an end - they go on for ever like periodic fractions. Zoology, for example, has discovered thirty-five thousand forms of life ... A. P. Chekhov. "On the road" In this book a start is made to the "zoology" of the singularities of differentiable maps. This theory is a young branch of analysis which currently occupies a central place in mathematics; it is the crossroads of paths leading from very abstract corners of mathematics (such as algebraic and differential geometry and topology, Lie groups and algebras, complex manifolds, commutative algebra and the like) to the most applied areas (such as differential equations and dynamical systems, optimal control, the theory of bifurcations and catastrophes, short-wave and saddle-point asymptotics and geometrical and wave optics).
Author : José Luis Cisneros Molina
Publisher : Springer Nature
ISBN 13 : 3030530612
Total Pages : 616 pages
Book Rating : 4.0/5 (35 download)
Download or read book Handbook of Geometry and Topology of Singularities I written by José Luis Cisneros Molina and published by Springer Nature. This book was released on 2020-10-24 with total page 616 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume consists of ten articles which provide an in-depth and reader-friendly survey of some of the foundational aspects of singularity theory. Authored by world experts, the various contributions deal with both classical material and modern developments, covering a wide range of topics which are linked to each other in fundamental ways. Singularities are ubiquitous in mathematics and science in general. Singularity theory interacts energetically with the rest of mathematics, acting as a crucible where different types of mathematical problems interact, surprising connections are born and simple questions lead to ideas which resonate in other parts of the subject. This is the first volume in a series which aims to provide an accessible account of the state-of-the-art of the subject, its frontiers, and its interactions with other areas of research. The book is addressed to graduate students and newcomers to the theory, as well as to specialists who can use it as a guidebook.
Author : Vladimir Igorevič Arnolʹd
Publisher :
ISBN 13 : 9789075351019
Total Pages : 259 pages
Book Rating : 4.3/5 (51 download)
Download or read book Singularities of Caustics and Wave Fronts written by Vladimir Igorevič Arnolʹd and published by . This book was released on 1990 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : V.I. Arnold
Publisher : Birkhäuser
ISBN 13 : 9781461251552
Total Pages : 396 pages
Book Rating : 4.2/5 (515 download)
Download or read book Singularities of Differentiable Maps written by V.I. Arnold and published by Birkhäuser. This book was released on 2011-12-06 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: ... there is nothing so enthralling, so grandiose, nothing that stuns or captivates the human soul quite so much as a first course in a science. After the first five or six lectures one already holds the brightest hopes, already sees oneself as a seeker after truth. I too have wholeheartedly pursued science passionately, as one would a beloved woman. I was a slave, and sought no other sun in my life. Day and night I crammed myself, bending my back, ruining myself over my books; I wept when I beheld others exploiting science fot personal gain. But I was not long enthralled. The truth is every science has a beginning, but never an end - they go on for ever like periodic fractions. Zoology, for example, has discovered thirty-five thousand forms of life ... A. P. Chekhov. "On the road" In this book a start is made to the "zoology" of the singularities of differentiable maps. This theory is a young branch of analysis which currently occupies a central place in mathematics; it is the crossroads of paths leading from very abstract corners of mathematics (such as algebraic and differential geometry and topology, Lie groups and algebras, complex manifolds, commutative algebra and the like) to the most applied areas (such as differential equations and dynamical systems, optimal control, the theory of bifurcations and catastrophes, short-wave and saddle-point asymptotics and geometrical and wave optics).
Author : Vladimir Igorevič Arnolʹd
Publisher :
ISBN 13 : 9789075351019
Total Pages : 0 pages
Book Rating : 4.3/5 (51 download)
Download or read book Singularities of Caustics and Wave Fronts written by Vladimir Igorevič Arnolʹd and published by . This book was released on 1990 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jean-paul Brasselet
Publisher : World Scientific
ISBN 13 : 9814477044
Total Pages : 917 pages
Book Rating : 4.8/5 (144 download)
Download or read book Singularities In Geometry And Topology - Proceedings Of The Trieste Singularity Summer School And Workshop written by Jean-paul Brasselet and published by World Scientific. This book was released on 2007-01-16 with total page 917 pages. Available in PDF, EPUB and Kindle. Book excerpt: Singularity theory appears in numerous branches of mathematics, as well as in many emerging areas such as robotics, control theory, imaging, and various evolving areas in physics. The purpose of this proceedings volume is to cover recent developments in singularity theory and to introduce young researchers from developing countries to singularities in geometry and topology.The contributions discuss singularities in both complex and real geometry. As such, they provide a natural continuation of the previous school on singularities held at ICTP (1991), which is recognized as having had a major influence in the field.
Author : Jean-Paul Brasselet
Publisher : World Scientific
ISBN 13 : 9812700226
Total Pages : 917 pages
Book Rating : 4.8/5 (127 download)
Download or read book Singularities in Geometry and Topology written by Jean-Paul Brasselet and published by World Scientific. This book was released on 2007 with total page 917 pages. Available in PDF, EPUB and Kindle. Book excerpt: Singularity theory appears in numerous branches of mathematics, as well as in many emerging areas such as robotics, control theory, imaging, and various evolving areas in physics. The purpose of this proceedings volume is to cover recent developments in singularity theory and to introduce young researchers from developing countries to singularities in geometry and topology.The contributions discuss singularities in both complex and real geometry. As such, they provide a natural continuation of the previous school on singularities held at ICTP (1991), which is recognized as having had a major influence in the field.
