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...
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| Superior document: | Title is part of eBook package: De Gruyter Princeton Legacy Lib. eBook Package 1931-1979 |
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| Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [2015] ©1976 |
| Year of Publication: | 2015 |
| Language: | English |
| Series: | Mathematical Notes ;
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| Physical Description: | 1 online resource (270 p.) |
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Morse, Marston, author. aut http://id.loc.gov/vocabulary/relators/aut Global Variational Analysis : Weierstrass Integrals on a Riemannian Manifold. (MN-16) / Marston Morse. Princeton, NJ : Princeton University Press, [2015] ©1976 1 online resource (270 p.) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Mathematical Notes ; 16 Frontmatter -- Contents -- Introduction -- PART I. The Weierstrass integral J -- Part II. The Euler Equations -- Part III. Minimizing arcs -- PART IV. Preparation for Global Theorems -- PART V. Global Theorems -- Appendices -- Bibliography -- INDEX OF TERMS -- Backmatter restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star 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. Issued also in print. Mode of access: Internet via World Wide Web. In English. Description based on online resource; title from PDF title page (publisher's Web site, viewed 31. Jan 2022) Calculus of variations. Differentiable manifolds. Global analysis (Mathematics). MATHEMATICS / Calculus. bisacsh Algebraic topology. Analytic function. Arc length. Axiom. Bernhard Riemann. Boundary value problem. Cartesian coordinate system. Coefficient. Compact space. Computation. Conjugate points. Connectivity (graph theory). Continuous function. Corollary. Countable set. Counting. Cramer's rule. Curve. Deformation theory. Degeneracy (mathematics). Derivative. Diffeomorphism. Differentiable manifold. Differential equation. Differential geometry. Differential structure. Dimension. Domain of a function. Eilenberg. Einstein notation. Equation. Euclidean space. Euler characteristic. Euler equations (fluid dynamics). Euler integral. Existence theorem. Existential quantification. Exotic sphere. Family of curves. Finite set. First variation. Geometry. Global analysis. Homeomorphism. Homology (mathematics). Homotopy. Implicit function theorem. Inference. Integer. Intersection (set theory). Interval (mathematics). Invertible matrix. Jacobian matrix and determinant. Lagrange multiplier. Line-line intersection. Linear combination. Linear map. Mathematical proof. Maximal set. Metric space. N-sphere. Neighbourhood (mathematics). Null vector. Open set. Pairwise. Parameter. Parametric equation. Parametrization. Partial derivative. Partial function. Phase space. Positive definiteness. Projective plane. Quadratic form. Quadratic. Rate of convergence. Rational number. Real variable. Resultant. Riemannian manifold. Scientific notation. Sign (mathematics). Special case. Sturm separation theorem. Submanifold. Subsequence. Subset. Taylor's theorem. Tensor algebra. Theorem. Theory. Topological manifold. Topological space. Topology. Tuple. Unit vector. Variable (mathematics). Variational analysis. Weierstrass function. Without loss of generality. Title is part of eBook package: De Gruyter Princeton Legacy Lib. eBook Package 1931-1979 9783110426847 Title is part of eBook package: De Gruyter Princeton Legacy Lib. eBook Package Science 9783110413595 Title is part of eBook package: De Gruyter Princeton Mathematical Notes eBook-Package 1970-2016 9783110494921 ZDB-23-PMN Title is part of eBook package: De Gruyter Princeton University Press Complete eBook-Package 2014-2015 9783110665925 Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Archive 1927-1999 9783110442496 print 9780691617251 https://doi.org/10.1515/9781400870431 https://www.degruyter.com/isbn/9781400870431 Cover https://www.degruyter.com/document/cover/isbn/9781400870431/original |
| language |
English |
| format |
eBook |
| author |
Morse, Marston, Morse, Marston, |
| spellingShingle |
Morse, Marston, Morse, Marston, Global Variational Analysis : Weierstrass Integrals on a Riemannian Manifold. (MN-16) / Mathematical Notes ; Frontmatter -- Contents -- Introduction -- PART I. The Weierstrass integral J -- Part II. The Euler Equations -- Part III. Minimizing arcs -- PART IV. Preparation for Global Theorems -- PART V. Global Theorems -- Appendices -- Bibliography -- INDEX OF TERMS -- Backmatter |
| author_facet |
Morse, Marston, Morse, Marston, |
| author_variant |
m m mm m m mm |
| author_role |
VerfasserIn VerfasserIn |
| author_sort |
Morse, Marston, |
| title |
Global Variational Analysis : Weierstrass Integrals on a Riemannian Manifold. (MN-16) / |
| title_sub |
Weierstrass Integrals on a Riemannian Manifold. (MN-16) / |
| title_full |
Global Variational Analysis : Weierstrass Integrals on a Riemannian Manifold. (MN-16) / Marston Morse. |
| title_fullStr |
Global Variational Analysis : Weierstrass Integrals on a Riemannian Manifold. (MN-16) / Marston Morse. |
| title_full_unstemmed |
Global Variational Analysis : Weierstrass Integrals on a Riemannian Manifold. (MN-16) / Marston Morse. |
| title_auth |
Global Variational Analysis : Weierstrass Integrals on a Riemannian Manifold. (MN-16) / |
| title_alt |
Frontmatter -- Contents -- Introduction -- PART I. The Weierstrass integral J -- Part II. The Euler Equations -- Part III. Minimizing arcs -- PART IV. Preparation for Global Theorems -- PART V. Global Theorems -- Appendices -- Bibliography -- INDEX OF TERMS -- Backmatter |
| title_new |
Global Variational Analysis : |
| title_sort |
global variational analysis : weierstrass integrals on a riemannian manifold. (mn-16) / |
| series |
Mathematical Notes ; |
| series2 |
Mathematical Notes ; |
| publisher |
Princeton University Press, |
| publishDate |
2015 |
| physical |
1 online resource (270 p.) Issued also in print. |
| contents |
Frontmatter -- Contents -- Introduction -- PART I. The Weierstrass integral J -- Part II. The Euler Equations -- Part III. Minimizing arcs -- PART IV. Preparation for Global Theorems -- PART V. Global Theorems -- Appendices -- Bibliography -- INDEX OF TERMS -- Backmatter |
| isbn |
9781400870431 9783110426847 9783110413595 9783110494921 9783110665925 9783110442496 9780691617251 |
| url |
https://doi.org/10.1515/9781400870431 https://www.degruyter.com/isbn/9781400870431 https://www.degruyter.com/document/cover/isbn/9781400870431/original |
| illustrated |
Not Illustrated |
| doi_str_mv |
10.1515/9781400870431 |
| oclc_num |
979742779 |
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AT morsemarston globalvariationalanalysisweierstrassintegralsonariemannianmanifoldmn16 |
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(DE-B1597)454403 (OCoLC)979742779 |
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Title is part of eBook package: De Gruyter Princeton Legacy Lib. eBook Package 1931-1979 Title is part of eBook package: De Gruyter Princeton Legacy Lib. eBook Package Science Title is part of eBook package: De Gruyter Princeton Mathematical Notes eBook-Package 1970-2016 Title is part of eBook package: De Gruyter Princeton University Press Complete eBook-Package 2014-2015 Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Archive 1927-1999 |
| is_hierarchy_title |
Global Variational Analysis : Weierstrass Integrals on a Riemannian Manifold. (MN-16) / |
| container_title |
Title is part of eBook package: De Gruyter Princeton Legacy Lib. eBook Package 1931-1979 |
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1770176715674353664 |
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