{"title":"Jainendra K Jain","description":null,"products":[{"product_id":"9789386279811","title":"Spectral Theory of Dynamical Systems","description":"This book treats some basic topics in the spectral theory of dynamical systems. The treatment is at a general level, but two more advanced theorems, one by H. Helson and W. Parry and the other by B. Host, are presented. Moreover, Ornstein's family of mixing rank one automorphisms is described with construction and proof. Systems of imprimitivity and their relevance to ergodic theory are discussed, and Baire category theorems of ergodic theory, scattered in the literature, are derived in a unified way. Riesz products are considered and they are used to describe the spectral types and eigenvalues of rank one automorphisms.\u003cbr\u003e\u003cbr\u003eThe major change in this edition is that a new chapter titled Calculus of Generalized Riesz Products has been added. This is based on some recent work of the author with El Houcein El Abdalaoui and supplements the material presented elsewhere in the book.","brand":"Gardners","offers":[{"title":"Default Title","offer_id":56311270179189,"sku":"9789386279811","price":53.95,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0612\/7193\/3106\/files\/9789386279811_3c7dd41f-ddb0-4893-b9e3-a3bcef956d6a.jpg?v=1786032897"},{"product_id":"algebraic-topology","title":"Algebraic Topology","description":"This is the second (revised and enlarged) edition of the book originally published in 2003. It introduces the first concepts of Algebraic Topology like general simplicial complexes, simplicial homology theory, fundamental groups, covering spaces and singular homology theory in detail. The text has been designed for undergraduate and beginning graduate students of Mathematics. It assumes a minimal background of linear algebra, group theory and topological spaces.  The author has dealt with the basic concepts and ideas in a very lucid manner giving suitable motivations and illustrations. As an application of the tools developed in this book, some classical theorems like Brouwer’s fixed point theorem, the Lefschetz fixed point theorem, the Borsuk-Ulam theorem, Brouwer’s separation theorem and the theorem on invariance of domain have been proved and illustrated. Most of the exercises are elementary but some are more challenging and will help the readers in their understanding of the subject.","brand":"Gardners","offers":[{"title":"Default Title","offer_id":57495465132405,"sku":"9789386279675","price":43.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0612\/7193\/3106\/files\/9789386279675.jpg?v=1786618136"}],"url":"https:\/\/backstory.london\/collections\/publisher-jainendra-k-jain.oembed","provider":"Backstory","version":"1.0","type":"link"}