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Published **1987**
by Springer-Verlag in Berlin, New York .

Written in English

- Nash manifolds.

**Edition Notes**

Statement | Masahiro Shiota. |

Series | Lecture notes in mathematics ;, 1269, Lecture notes in mathematics (Springer-Verlag) ;, 1269. |

Classifications | |
---|---|

LC Classifications | QA3 .L28 no. 1269, QA614.3 .L28 no. 1269 |

The Physical Object | |

Pagination | vi, 223 p. : |

Number of Pages | 223 |

ID Numbers | |

Open Library | OL2387604M |

ISBN 10 | 0387181024 |

LC Control Number | 87016673 |

This book, in which almost all results are very recent or unpublished, is an account of the theory of Nash manifolds, whose properties are clearer and more regular than those of differentiable or PL manifolds. Basic to the theory is an algebraic analogue of Whitney's Approximation : Springer-Verlag Berlin Heidelberg. FIRST EDITION IN ORIGINAL WRAPPERS of one of Nash's most important papers. Nash “was bent on proving himself a pure mathematician Even before completing his thesis on game theory, he turned his attention to the trendy topic of geometric objects called manifolds. Manifolds play a role in many physical problems, including cosmology. Right off the bat, he made what he called ‘a nice. This book, in which almost all results are very recent or unpublished, is an account of the theory of Nash manifolds, whose properties are clearer and more regular than those of differentiable or PL manifolds. Basic to the theory is an algebraic analogue of Whitney's Approximation Theorem. A Nash manifold denotes a real manifold furnished with algebraic structure, following a theorem of Nash that a compact differentiable manifold can be imbedded in a Euclidean space so .

Nash manifolds. [Masahiro Shiota] A Nash manifold denotes a real manifold furnished with algebraic structure, following a theorem of Nash that a compact differentiable manifold can be imbedded in a Euclidean space so that the image Read more Rating: (not Book\/a>, schema:CreativeWork\/a> ;. A Nash mapping between Nash manifolds is then an analytic mapping with semialgebraic graph. Nash functions and manifolds are named after John Forbes Nash, Jr., who proved () that any compact smooth manifold admits a Nash manifold structure, i.e., is diffeomorphic to some Nash manifold. More generally, a smooth manifold admits a Nash. The Nash embedding theorems (or imbedding theorems), named after John Forbes Nash, state that every Riemannian manifold can be isometrically embedded into some Euclidean space. Isometric means preserving the length of every instance, bending without stretching or tearing a page of paper gives an isometric embedding of the page into Euclidean space because curves drawn on the page. Find many great new & used options and get the best deals for Lecture Notes in Mathematics: Nash Manifolds by Masahiro Shiota (, Paperback) at the best online prices at .

This book, in which almost all results are very recent or unpublished, is an account of the theory of Nash manifolds, whose properties are clearer and more regular than those of differentiable or PL manifolds. Basic to the theory is an algebraic analogue of Whitney's Approximation : Masahiro Shiota. Recently released in paperback for the first time, The Essential John Nash is a collection of many of Nash's mathematical writings, edited and slightly annotated by economist Harold Kuhn and by Sylvia Nasar, who wrote the book A Beautiful Mind. The book includes some biographical and background information, in the form of an introduction by. Buy a cheap copy of The Essential John Nash book by John F. Nash. When John Nash won the Nobel prize in economics in , many people were surprised to learn that he was alive and well. Since then, Sylvia Nasar's celebrated Free shipping over $/5(5). Applications from condensed matter physics, statistical mechanics and elementary particle theory appear in the book. An obvious omission here is general relativity--we apologize for this. We originally intended to discuss general relativity. However, both the need to keep the size of the book within the reasonable limits and the fact that accounts of the topology and geometry of relativity are.

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