N mishachev (10 Ergebnisse)
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Introduction to the h-Principle: 239.S (Graduate Studies in Mathematics)
K. Cieliebak (author)/ Y. Eliashberg (author) & N. Mishachev (author)
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Paperback. Zustand: Brand New. 2nd edition. 363 pages. 10.00x7.00x0.00 inches. In Stock.
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Paperback. Zustand: New. Second Edition. 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 differenti…al 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, were later transformed by Gromov into powerful general methods for establishing the $h$-principle. The authors cover two main methods for proving the $h$-principle: holonomic approximation and convex integration. The reader will find that, with a few notable exceptions, most instances of the $h$-principle can be treated by the methods considered here. A special emphasis is made on applications to symplectic and contact geometry. The present book is the first broadly accessible exposition of the theory and its applications, making it an excellent text for a graduate course on geometric methods for solving partial differential equations and inequalities. Geometers, topologists, and analysts will also find much value in this very readable exposition of an important and remarkable topic. This second edition of the book is significantly revised and expanded to almost twice of the original size. The most significant addition to the original book is the new part devoted to the method of wrinkling and its applications. Several other chapters (e.g., on multivalued holonomic approximation and foliations) are either added or completely rewritten.
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Introduction to the h-Principle: 239 (Graduate Studies in Mathematics)
K. Cieliebak (author) (Author)/ Y. Eliashberg (author) & N. Mishachev (author) (Author)
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Hardcover. Zustand: Brand New. 2nd edition. 363 pages. In Stock.
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Paperback. Zustand: New. Second Edition. 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 differenti…al 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, were later transformed by Gromov into powerful general methods for establishing the $h$-principle. The authors cover two main methods for proving the $h$-principle: holonomic approximation and convex integration. The reader will find that, with a few notable exceptions, most instances of the $h$-principle can be treated by the methods considered here. A special emphasis is made on applications to symplectic and contact geometry. The present book is the first broadly accessible exposition of the theory and its applications, making it an excellent text for a graduate course on geometric methods for solving partial differential equations and inequalities. Geometers, topologists, and analysts will also find much value in this very readable exposition of an important and remarkable topic. This second edition of the book is significantly revised and expanded to almost twice of the original size. The most significant addition to the original book is the new part devoted to the method of wrinkling and its applications. Several other chapters (e.g., on multivalued holonomic approximation and foliations) are either added or completely rewritten.
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paperback. Zustand: New. NEW. SHIPS FROM MULTIPLE LOCATIONS. book.
Sprache: Englisch
Verlag: American Mathematical Society., 2002
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Karton Karton. Zustand: Sehr gut. 206 Seiten, mit Abbildungen, Zust: Gutes Exemplar. Schneller Versand und persönlicher Service - jedes Buch händisch geprüft und beschrieben - aus unserem Familienbetrieb seit über 25 Jahren. Eine Rechnung mit ausgewiesener Mehrwertsteuer liegt jeder unserer Lieferungen bei. Wir versenden mit der… deutschen Post. Sprache: Englisch Gewicht in Gramm: 6063.
Sprache: Englisch
Verlag: American Mathematical Society., 2002
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Zustand: gut. 2002. Introduction to the H-Principle (Graduate Studies in Mathematics, V 48) In englischer Sprache. pages.
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Hardcover. Zustand: New. HardCover. Pub Date: 2017-01-01 Pages: 206 Language: English Publisher: higher education press in differential geometry and topology. people often deal with partial differential equation and inequality group. plus any boundary conditions there are infinitely many solutions.In the 1950 s. it has been foun…d that this type of differential relationship (i.e. equation or inequality.
