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Introduction to the $h$-Principle
  • Language: en
  • Pages: 384

Introduction to the $h$-Principle

In differential geometry and topology one often deals with systems of partial differential equations as well as partial differential inequalities that have infinitely many solutions whatever boundary conditions are imposed. It was discovered in the 1950s that the solvability of differential relations (i.e., equations and inequalities) of this kind can often be reduced to a problem of a purely homotopy-theoretic nature. One says in this case that the corresponding differential relation satisfies the $h$-principle. Two famous examples of the $h$-principle, the Nash–Kuiper $C^1$-isometric embedding theory in Riemannian geometry and the Smale–Hirsch immersion theory in differential topology,...

Introduction to the $h$-Principle
  • Language: en
  • Pages: 230

Introduction to the $h$-Principle

The latest volume in the AMS's high-profile GSM series. The book presents a very accessible exposition of a powerful, but difficult to explain method of solving Partial Differentiel Equations. Would make an excellent text for courses on modern methods for solvng Partial Differential Equations. Very readable treatise of an important and remarkable technique. Strong bookstore candidate.

Essays on Geometry and Related Topics
  • Language: en
  • Pages: 326

Essays on Geometry and Related Topics

  • Type: Book
  • -
  • Published: 2001
  • -
  • Publisher: Unknown

This monograph contains 22 original papers dedicated to André Haefliger by some of his mathematician friends.

Geometry of Algebraic Curves
  • Language: en
  • Pages: 983

Geometry of Algebraic Curves

The second volume of the Geometry of Algebraic Curves is devoted to the foundations of the theory of moduli of algebraic curves. Its authors are research mathematicians who have actively participated in the development of the Geometry of Algebraic Curves. The subject is an extremely fertile and active one, both within the mathematical community and at the interface with the theoretical physics community. The approach is unique in its blending of algebro-geometric, complex analytic and topological/combinatorial methods. It treats important topics such as Teichmüller theory, the cellular decomposition of moduli and its consequences and the Witten conjecture. The careful and comprehensive presentation of the material is of value to students who wish to learn the subject and to experts as a reference source. The first volume appeared 1985 as vol. 267 of the same series.

Mathematical Reviews
  • Language: en
  • Pages: 1296

Mathematical Reviews

  • Type: Book
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  • Published: 2003
  • -
  • Publisher: Unknown

None

World Directory of Mathematicians
  • Language: en
  • Pages: 1122

World Directory of Mathematicians

  • Type: Book
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  • Published: 1998
  • -
  • Publisher: Unknown

None

The British National Bibliography
  • Language: en
  • Pages: 1896

The British National Bibliography

  • Type: Book
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  • Published: 2002
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  • Publisher: Unknown

None

Perspectives in Analysis, Geometry, and Topology
  • Language: en
  • Pages: 483

Perspectives in Analysis, Geometry, and Topology

The articles in this volume are invited papers from the Marcus Wallenberg symposium and focus on research topics that bridge the gap between analysis, geometry, and topology. The encounters between these three fields are widespread and often provide impetus for major breakthroughs in applications. Topics include new developments in low dimensional topology related to invariants of links and three and four manifolds; Perelman's spectacular proof of the Poincare conjecture; and the recent advances made in algebraic, complex, symplectic, and tropical geometry.

Combined Membership List (American Mathematical Society)
  • Language: en
  • Pages: 1226

Combined Membership List (American Mathematical Society)

  • Type: Book
  • -
  • Published: 1994
  • -
  • Publisher: Unknown

Lists for 19 include the Mathematical Association of America, and 1955- also the Society for Industrial and Applied Mathematics.

The Influence of Solomon Lefschetz in Geometry and Topology
  • Language: en
  • Pages: 240

The Influence of Solomon Lefschetz in Geometry and Topology

The influence of Solomon Lefschetz (1884-1972) in geometry and topology 40 years after his death has been very profound. Lefschetz's influence in Mexican mathematics has been even greater. In this volume, celebrating 50 years of mathematics at Cinvestav-México, many of the fields of geometry and topology are represented by some of the leaders of their respective fields. This volume opens with Michael Atiyah reminiscing about his encounters with Lefschetz and México. Topics covered in this volume include symplectic flexibility, Chern-Simons theory and the theory of classical theta functions, toric topology, the Beilinson conjecture for finite-dimensional associative algebras, partial monoids and Dold-Thom functors, the weak b-principle, orbit configuration spaces, equivariant extensions of differential forms for noncompact Lie groups, dynamical systems and categories, and the Nahm pole boundary condition.