Singularities of differentiable maps, Volume 1, Classification of critical points, caustics and wave fronts
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The work Singularities of differentiable maps, Volume 1, Classification of critical points, caustics and wave fronts represents a distinct intellectual or artistic creation found in Boston University Libraries. This resource is a combination of several types including: Work, Language Material, Books.
The Resource
Singularities of differentiable maps, Volume 1, Classification of critical points, caustics and wave fronts
Resource Information
The work Singularities of differentiable maps, Volume 1, Classification of critical points, caustics and wave fronts represents a distinct intellectual or artistic creation found in Boston University Libraries. This resource is a combination of several types including: Work, Language Material, Books.
 Label
 Singularities of differentiable maps, Volume 1, Classification of critical points, caustics and wave fronts
 Title number
 Volume 1
 Title part
 Classification of critical points, caustics and wave fronts
 Statement of responsibility
 V. I. Arnold, S. M. GuseinZade, A. N. Varchenko
 Title variation
 Classification of critical points, caustics and wave fronts
 Subject

 Global differential geometry.
 Analysis.
 Singularities (Mathematics)
 Topological Groups.
 Differentiable mappings
 Singularities (Mathematics)
 Singularities (Mathematics)
 Electronic resources
 Differentiable mappings
 Topological Groups, Lie Groups.
 Differentiable mappings
 Geometry, algebraic.
 Singularities (Mathematics)
 Singularities (Mathematics)
 Mathematics.
 Manifolds and Cell Complexes (incl. Diff.Topology).
 Singularities (Mathematics)
 Global analysis (Mathematics).
 Differentiable mappings
 Applications of Mathematics.
 Differentiable mappings
 Differentiable mappings
 Language

 eng
 rus
 eng
 Summary
 Originally published in the 1980s, Singularities of Differentiable Maps: The Classification of Critical Points, Caustics and Wave Fronts was the first of two volumes that together formed a translation of the authors' influential Russian monograph on singularity theory. This uncorrected softcover reprint of the work brings its stillrelevant content back into the literature, making it available—and affordable—to a global audience of researchers and practitioners. Singularity theory is a farreaching extension of maxima and minima investigations of differentiable functions, with implications for many different areas of mathematics, engineering (catastrophe theory and the theory of bifurcations), and science. The three parts of this first volume deal with the stability problem for smooth mappings, critical points of smooth functions, and caustics and wave front singularities. Building on these concepts, the second volume (Monodromy and Asymptotics of Integrals) describes the topological and algebrogeometrical aspects of the theory, including monodromy, intersection forms, oscillatory integrals, asymptotics, and mixed Hodge structures of singularities. Singularities of Differentiable Maps: The Classification of Critical Points, Caustics and Wave Fronts accommodates the needs of nonmathematicians, presupposing a limited mathematical background and beginning at an elementary level. With this foundation, the book's sophisticated development permits readers to explore an unparalleled breadth of applications
 Cataloging source
 GW5XE
 Image bit depth
 0
 LC call number
 QA613.64
 LC item number
 .A76 2012
 Literary form
 non fiction
 Nature of contents
 dictionaries
 Series statement
 Modern Birkhäuser Classics
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