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Marston Morse

Global Variational Analysis

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A01=Marston Morse
A01=Veronica Henry
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Analytic function
Author_Marston Morse
Author_Veronica Henry
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Axiom
Boundary value problem
Cartesian coordinate system
Category1=Non-Fiction
Category=PBKA
Category=PBMP
Compact space
Conjugate points
Continuous function
COP=United States
Countable set
Counting
Cramer's rule
Curve
Deformation theory
Degeneracy (mathematics)
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Derivative
Diffeomorphism
Differentiable manifold
Differential structure
Einstein notation
eq_isMigrated=2
Equation
Euclidean space
Euler characteristic
Euler equations (fluid dynamics)
Euler integral
Existence theorem
Existential quantification
Exotic sphere
First variation
Homeomorphism
Homotopy
Inference
Intersection (set theory)
Invertible matrix
Jacobian matrix and determinant
Lagrange multiplier
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Linear combination
Linear map
Maximal set
Metric space
N-sphere
Neighbourhood (mathematics)
Null vector
Open set
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Pairwise
Parameter
Parametric equation
Partial derivative
Partial function
Phase space
Positive definiteness
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Quadratic form
Rate of convergence
Real variable
Resultant
Riemannian manifold
Sign (mathematics)
softlaunch
Special case
Sturm separation theorem
Submanifold
Subsequence
Subset
Taylor's theorem
Tensor algebra
Theorem
Topological space
Topology
Tuple
Unit vector
Variable (mathematics)
Weierstrass function
Without loss of generality

Product details

  • ISBN 9780691617251
  • Weight: 454g
  • Dimensions: 178 x 254mm
  • Publication Date: 08 Mar 2015
  • Publisher: Princeton University Press
  • Publication City/Country: US
  • Product Form: Paperback
  • Language: English
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Description
This book builds upon the revolutionary discovery made in 1974 that when one passes from function f to a function J of paths joining two points A1?A1 the connectivities R1 of the domain of f can be replaced by connectivities R1 over Q, common to the pathwise components of a basic Frechet space of classes of equivalent curves joining A1 to A1. The connectivities R1, termed "Frechet numbers," are proved independent of the choice of A1 ? A1, and of a replacement of Mn by any differential manifold homeomorphic to Mn. Originally published in 1976. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.