Singularity theory draws on many other areas of mathematics and, in turn, contributes to many areas both within and outside mathematics, including differential and algebraic geometry, knot theory, differential equations, bifurcation theory, Hamiltonian mechanics, optics, robotics and computer vision. This volume consists of two dozen articles from some of the best known figures in singularity theory, and it presents an up-to-date survey of research in this area.
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' ... presents an up-to-date survey of research in this area.' Extrait de L'Enseignement Mathématique
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Singularity theory is a broad subject with vague boundaries. It draws on many other areas of mathematics, and in turn has contributed to many areas both within and outside mathematics, in particular differential and algebraic geometry, knot theory, differential equations, bifurcation theory, Hamiltonian mechanics, optics, robotics and computer vision. This volume consists of two dozen articles from some of the best known figures in singularity theory, and it presents an up-to-date survey of research in this area.
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First Sentence:
(1.1) Assume that an affine variety Y w is defined by certain binomials za - zb (a, b w); for example take Y := [zn - xy] 3. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
computing spectral sequence, multiple point spaces, versal base space, affine arrangement, equisingular families, exceptional unimodal singularities, swallowtail singularities, translated subgroups, equisingularity condition, triangle singularities, polar multiplicities, motion germ, algebraic transversality, tangent developable, first critical time, equisingularity theory, standard perestroikas, finite colength, transverse knot, isolated complete intersection singularity, smoothing pair, viscosity criterion, differentiable classification, isolated complete intersection singularities, central hyperplane arrangement Key Phrases - Capitalized Phrases (CAPs): (learn more)
London Math, Pure Math, New York, Compositio Math, University of Liverpool, Springer Verlag, Department of Mathematics, Princeton University Press, Terry Wall, Cambridge University Press, Acta Applicandae Mathematicae, Annals of Math, Mather's Lemma, Pure Appl, Russian Math, Soviet Math, Contemporary Math, Del Pezzo, Duke Math, Inventiones Math, Tel Aviv University, Academic Press, Advanced Studies, Functional Anal, Graduate Texts New!
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(1.1) Assume that an affine variety Y w is defined by certain binomials za - zb (a, b w); for example take Y := [zn - xy] 3. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
computing spectral sequence, multiple point spaces, versal base space, affine arrangement, equisingular families, exceptional unimodal singularities, swallowtail singularities, translated subgroups, equisingularity condition, triangle singularities, polar multiplicities, motion germ, algebraic transversality, tangent developable, first critical time, equisingularity theory, standard perestroikas, finite colength, transverse knot, isolated complete intersection singularity, smoothing pair, viscosity criterion, differentiable classification, isolated complete intersection singularities, central hyperplane arrangement Key Phrases - Capitalized Phrases (CAPs): (learn more)
London Math, Pure Math, New York, Compositio Math, University of Liverpool, Springer Verlag, Department of Mathematics, Princeton University Press, Terry Wall, Cambridge University Press, Acta Applicandae Mathematicae, Annals of Math, Mather's Lemma, Pure Appl, Russian Math, Soviet Math, Contemporary Math, Del Pezzo, Duke Math, Inventiones Math, Tel Aviv University, Academic Press, Advanced Studies, Functional Anal, Graduate Texts New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Back Cover | Surprise Me!
Citations (learn more)
This book cites 30
books:
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- Singular Points of Complex Hypersurfaces. (AM-61) (Annals of Mathematics Studies) by John Willard Milnor on page 247, and page 324
- Real And Complex Singularities (Lecture Notes in Pure and Applied Mathematics) by David Mond on page 243, and page 418
- Isolated Singular Points on Complete Intersections (London Mathematical Society Lecture Note Series) by E. J. N. Looijenga on page 246, and page 350
- Stratified Morse Theory (Ergebnisse Der Mathematik Und Ihrer Grenzgebiete 3 Folge) by Mark Goresky on page 244, and page 322
- Real and Complex Singularities (Pitman Research Notes in Mathematics Series, No. 333) by W. L. Marar on page 243, and page 416
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