One of the most powerful modern methods of solving partial differential equations is Gromov's $h$-principle. It has also been, traditionally, one of the most difficult to explain. This book is a broadly accessible exposition of the principle and its applications. The essence ofthe $h$-principle is the reduction of problems involving partial differential relations to problems of a purely homotopy-theoretic nature. Two famous examples of the $h$-principle are the Nash-Kuiper $C $-isometric embedding theory in Riemannian ...
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One of the most powerful modern methods of solving partial differential equations is Gromov's $h$-principle. It has also been, traditionally, one of the most difficult to explain. This book is a broadly accessible exposition of the principle and its applications. The essence ofthe $h$-principle is the reduction of problems involving partial differential relations to problems of a purely homotopy-theoretic nature. Two famous examples of the $h$-principle are the Nash-Kuiper $C $-isometric embedding theory in Riemannian geometry and the Smale-Hirsch immersion theory in differential topology. Gromov transformed these examples into a powerful general method for proving the $h$-principle. Both of these examples and their explanations in terms of the $h$-principle are covered in detail in the book. The authors cover two main embodiments of the principle: holonomic approximation and convex integration.
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Add this copy of Introduction to the H-Principle (Graduate Studies in to cart. $65.00, very good condition, Sold by Grey Matter Books rated 4.0 out of 5 stars, ships from Hadley, MA, UNITED STATES, published 2002 by Amer Mathematical Society.
Add this copy of Introduction to the H-Principle (Graduate Studies in to cart. $116.59, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Newport Coast, CA, UNITED STATES, published 2002 by Amer Mathematical Society.
