Global Variational Analysis : : Weierstrass Integrals on a Riemannian Manifold. (MN-16) /

Global Variational Analysis : : Weierstrass Integrals on a Riemannian Manifold. (MN-16) / / Marston Morse.

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 cl...

Full description

Saved in:
Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter Princeton Legacy Lib. eBook Package 1931-1979
VerfasserIn:
Morse, Marston,
Place / Publishing House:Princeton, NJ : : Princeton University Press, , [2015]
©1976
Year of Publication:2015
Language:English
Series:Mathematical Notes ; 16
Online Access:
Physical Description:1 online resource (270 p.)
Tags: Add Tag
No Tags, Be the first to tag this record!
LEADER 08097nam a22020055i 4500
001 9781400870431
003 DE-B1597
005 20220131112047.0
006 m|||||o||d||||||||
007 cr || ||||||||
008 220131t20151976nju fo d z eng d
019 |a (OCoLC)1011445923 
019 |a (OCoLC)990388807 
020 |a 9781400870431 
024 7 |a 10.1515/9781400870431  |2 doi 
035 |a (DE-B1597)454403 
035 |a (OCoLC)979742779 
040 |a DE-B1597  |b eng  |c DE-B1597  |e rda 
041 0 |a eng 
044 |a nju  |c US-NJ 
072 7 |a MAT005000  |2 bisacsh 
100 1 |a Morse, Marston,   |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
245 1 0 |a Global Variational Analysis :  |b Weierstrass Integrals on a Riemannian Manifold. (MN-16) /  |c Marston Morse. 
264 1 |a Princeton, NJ :   |b Princeton University Press,   |c [2015] 
264 4 |c ©1976 
300 |a 1 online resource (270 p.) 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
347 |a text file  |b PDF  |2 rda 
490 0 |a Mathematical Notes ;  |v 16 
505 0 0 |t Frontmatter --   |t Contents --   |t Introduction --   |t PART I. The Weierstrass integral J --   |t Part II. The Euler Equations --   |t Part III. Minimizing arcs --   |t PART IV. Preparation for Global Theorems --   |t PART V. Global Theorems --   |t Appendices --   |t Bibliography --   |t INDEX OF TERMS --   |t Backmatter 
506 0 |a restricted access  |u http://purl.org/coar/access_right/c_16ec  |f online access with authorization  |2 star 
520 |a 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. 
530 |a Issued also in print. 
538 |a Mode of access: Internet via World Wide Web. 
546 |a In English. 
588 0 |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 31. Jan 2022) 
650 0 |a Calculus of variations. 
650 0 |a Differentiable manifolds. 
650 0 |a Global analysis (Mathematics). 
650 7 |a MATHEMATICS / Calculus.  |2 bisacsh 
653 |a Algebraic topology. 
653 |a Analytic function. 
653 |a Arc length. 
653 |a Axiom. 
653 |a Bernhard Riemann. 
653 |a Boundary value problem. 
653 |a Cartesian coordinate system. 
653 |a Coefficient. 
653 |a Compact space. 
653 |a Computation. 
653 |a Conjugate points. 
653 |a Connectivity (graph theory). 
653 |a Continuous function. 
653 |a Corollary. 
653 |a Countable set. 
653 |a Counting. 
653 |a Cramer's rule. 
653 |a Curve. 
653 |a Deformation theory. 
653 |a Degeneracy (mathematics). 
653 |a Derivative. 
653 |a Diffeomorphism. 
653 |a Differentiable manifold. 
653 |a Differential equation. 
653 |a Differential geometry. 
653 |a Differential structure. 
653 |a Dimension. 
653 |a Domain of a function. 
653 |a Eilenberg. 
653 |a Einstein notation. 
653 |a Equation. 
653 |a Euclidean space. 
653 |a Euler characteristic. 
653 |a Euler equations (fluid dynamics). 
653 |a Euler integral. 
653 |a Existence theorem. 
653 |a Existential quantification. 
653 |a Exotic sphere. 
653 |a Family of curves. 
653 |a Finite set. 
653 |a First variation. 
653 |a Geometry. 
653 |a Global analysis. 
653 |a Homeomorphism. 
653 |a Homology (mathematics). 
653 |a Homotopy. 
653 |a Implicit function theorem. 
653 |a Inference. 
653 |a Integer. 
653 |a Intersection (set theory). 
653 |a Interval (mathematics). 
653 |a Invertible matrix. 
653 |a Jacobian matrix and determinant. 
653 |a Lagrange multiplier. 
653 |a Line-line intersection. 
653 |a Linear combination. 
653 |a Linear map. 
653 |a Mathematical proof. 
653 |a Maximal set. 
653 |a Metric space. 
653 |a N-sphere. 
653 |a Neighbourhood (mathematics). 
653 |a Null vector. 
653 |a Open set. 
653 |a Pairwise. 
653 |a Parameter. 
653 |a Parametric equation. 
653 |a Parametrization. 
653 |a Partial derivative. 
653 |a Partial function. 
653 |a Phase space. 
653 |a Positive definiteness. 
653 |a Projective plane. 
653 |a Quadratic form. 
653 |a Quadratic. 
653 |a Rate of convergence. 
653 |a Rational number. 
653 |a Real variable. 
653 |a Resultant. 
653 |a Riemannian manifold. 
653 |a Scientific notation. 
653 |a Sign (mathematics). 
653 |a Special case. 
653 |a Sturm separation theorem. 
653 |a Submanifold. 
653 |a Subsequence. 
653 |a Subset. 
653 |a Taylor's theorem. 
653 |a Tensor algebra. 
653 |a Theorem. 
653 |a Theory. 
653 |a Topological manifold. 
653 |a Topological space. 
653 |a Topology. 
653 |a Tuple. 
653 |a Unit vector. 
653 |a Variable (mathematics). 
653 |a Variational analysis. 
653 |a Weierstrass function. 
653 |a Without loss of generality. 
773 0 8 |i Title is part of eBook package:  |d De Gruyter  |t Princeton Legacy Lib. eBook Package 1931-1979  |z 9783110426847 
773 0 8 |i Title is part of eBook package:  |d De Gruyter  |t Princeton Legacy Lib. eBook Package Science  |z 9783110413595 
773 0 8 |i Title is part of eBook package:  |d De Gruyter  |t Princeton Mathematical Notes eBook-Package 1970-2016  |z 9783110494921  |o ZDB-23-PMN 
773 0 8 |i Title is part of eBook package:  |d De Gruyter  |t Princeton University Press Complete eBook-Package 2014-2015  |z 9783110665925 
773 0 8 |i Title is part of eBook package:  |d De Gruyter  |t Princeton University Press eBook-Package Archive 1927-1999  |z 9783110442496 
776 0 |c print  |z 9780691617251 
856 4 0 |u https://doi.org/10.1515/9781400870431 
856 4 0 |u https://www.degruyter.com/isbn/9781400870431 
856 4 2 |3 Cover  |u https://www.degruyter.com/document/cover/isbn/9781400870431/original 
912 |a 978-3-11-041359-5 Princeton Legacy Lib. eBook Package Science 
912 |a 978-3-11-042684-7 Princeton Legacy Lib. eBook Package 1931-1979  |c 1931  |d 1979 
912 |a 978-3-11-044249-6 Princeton University Press eBook-Package Archive 1927-1999  |c 1927  |d 1999 
912 |a 978-3-11-066592-5 Princeton University Press Complete eBook-Package 2014-2015  |c 2014  |d 2015 
912 |a EBA_BACKALL 
912 |a EBA_CL_MTPY 
912 |a EBA_EBACKALL 
912 |a EBA_EBKALL 
912 |a EBA_ECL_MTPY 
912 |a EBA_EEBKALL 
912 |a EBA_ESTMALL 
912 |a EBA_PPALL 
912 |a EBA_STMALL 
912 |a GBV-deGruyter-alles 
912 |a PDA12STME 
912 |a PDA13ENGE 
912 |a PDA18STMEE 
912 |a PDA5EBK 
912 |a ZDB-23-PMN  |c 1970  |d 2016 

Similar Items