{"title":"Louis Auslander","description":null,"products":[{"product_id":"introduction-to-differentiable-manifolds-book-louis-auslander-9780486471723","title":"Introduction to Differentiable Manifolds","description":"The first book to treat manifold theory at an introductory level, this text surveys basic concepts in the modern approach to differential geometry. The first six chapters define and illustrate differentiable manifolds, and the final four chapters investigate the roles of differential structures in a variety of situations.\u003cbr\u003eStarting with an introduction to differentiable manifolds and their tangent spaces, the text examines Euclidean spaces, their submanifolds, and abstract manifolds. Succeeding chapters explore the tangent bundle and vector fields and discuss their association with ordinary differential equations. The authors offer a coherent treatment of the fundamental concepts of Lie group theory, and they present a proof of the basic theorem relating Lie subalgebras to Lie subgroups. Additional topics include fiber bundles and multilinear algebra. An excellent source of examples and exercises, this graduate-level text requires a solid understanding of the basic theory of finite-dimensional vector spaces and their linear transformations, point-set topology, and advanced calculus.","brand":"WoB","offers":[{"title":"US \/ GOOD \/ SBYB","offer_id":50129372021009,"sku":"CIN0486471721G","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"US \/ VERY_GOOD \/ SBYB","offer_id":51329731559697,"sku":"CIN0486471721VG","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/0486471721.jpg?v=1786110579"},{"product_id":"introduction-to-differentiable-manifolds-book-louis-auslander-9780486634555","title":"Introduction to Differentiable Manifolds","description":null,"brand":"WoB","offers":[{"title":"US \/ VERY_GOOD \/ SBYB","offer_id":51330128118033,"sku":"CIN0486634558VG","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"US \/ GOOD \/ SBYB","offer_id":51415909073169,"sku":"CIN0486634558G","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/0486634558.jpg?v=1751197840"},{"product_id":"signal-processing-book-louis-auslander-9781468470970","title":"Signal Processing","description":"The two volumes of Signal Processing are based on lectures delivered during a six week program held at the IMA from June 27 to August 5, 1988. The first two weeks of the program dealt with general areas and methods of Signal Pro- cessing. The problem areas included imaging and analysis of recognition, x-ray crystallography, radar and sonar, signal analysis and 1-D signal processing, speech, vision, and VLSI implementation. The methods discussed included harmonic anal- ysis and wavelets, operator theory, algorithm complexity, filtering and estimation, and inverse scattering. The topics of weeks three and four were digital filter, VLSI implementation, and integrable circuit modelling. In week five the concentration was on robust and nonlinear control with aerospace applications, and in week six the emphasis was on problems in radar, sonar and medical imaging. Because of the large overlap between the various one-week and two-week seg- ments of the program, we found it more convenient to divide the material somewhat differently. Part I deals with general signal process theory and Part I deals with (i) application of signal processing, (ii) control theory related themes. We are grateful to the scientific organizers: Tom Kailath (Chairman), Louis Aus- lander, F. Alberto Grunbaum, J. William Helton, Pramod P. Khargonekar and Sanjoy K. Mitter. We are also grateful for the generous support given to the IMA program by the Office of Naval Research, the Air Force Office of Scientific Research, the Army Research Office and the National Security Agency.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52650488234257,"sku":"NLS9781468470970","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ NEW \/ INGRAM","offer_id":53475866542353,"sku":"NIN9781468470970","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9781468470970.jpg?v=1787140660"},{"product_id":"flows-on-homogeneous-spaces-book-louis-auslander-9780691079639","title":"Flows on Homogeneous Spaces","description":"The description for this book, Flows on Homogeneous Spaces. (AM-53), will be forthcoming.","brand":"WoB","offers":[{"title":"US \/ NEW \/ INGRAM","offer_id":53362523406609,"sku":"NIN9780691079639","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9780691079639.jpg?v=1786441613"}],"url":"https:\/\/www.worldofbooks.com\/collections\/author-books-by-louis-auslander.oembed","provider":"World of Books ","version":"1.0","type":"link"}