{"title":"Morris W Hirsch","description":null,"products":[{"product_id":"differential-equations-dynamical-systems-and-an-introduction-to-chaos-book-morris-w-hirsch-9780123497031","title":"Differential Equations, Dynamical Systems, and an Introduction to Chaos","description":"Differential Equations, Dynamical Systems, and an Introduction to Chaos, Second Edition, provides a rigorous yet accessible introduction to differential equations and dynamical systems.    The original text by three of the world's leading mathematicians has become the standard textbook for graduate courses in this area. Thirty years in the making, this Second Edition brings students to the brink of contemporary research, starting from a background that includes only calculus and elementary linear algebra.    The book explores the dynamical aspects of ordinary differential equations and the relations between dynamical systems and certain fields outside pure mathematics. It presents the simplification of many theorem hypotheses and includes bifurcation theory throughout. It contains many new figures and illustrations; a simplified treatment of linear algebra; detailed discussions of the chaotic behavior in the Lorenz attractor, the Shil'nikov systems, and the double scroll attractor; and increased coverage of discrete dynamical systems.    This book will be particularly useful to advanced students and practitioners in higher mathematics.","brand":"WoB","offers":[{"title":"US \/ GOOD \/ SBYB","offer_id":50469787500817,"sku":"CIN0123497035G","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"US \/ WELL_READ \/ SBYB","offer_id":50558355112209,"sku":"CIN0123497035A","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ VERY_GOOD \/ INTERNAL","offer_id":51410817581329,"sku":"GOR008033459","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"US \/ VERY_GOOD \/ SBYB","offer_id":53340759654673,"sku":"CIN0123497035VG","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/0123497035.jpg?v=1750811534"},{"product_id":"differential-topology-book-morris-w-hirsch-9780387901480","title":"Differential Topology","description":"This book presents some of the basic topological ideas used in studying differentiable manifolds and maps. Mathematical prerequisites have been kept to a minimum; the standard course in analysis and general topology is adequate preparation. An appendix briefly summarizes some of the back- ground material. In order to emphasize the geometrical and intuitive aspects of differen- tial topology, I have avoided the use of algebraic topology, except in a few isolated places that can easily be skipped. For the same reason I make no use of differential forms or tensors. In my view, advanced algebraic techniques like homology theory are better understood after one has seen several examples of how the raw material of geometry and analysis is distilled down to numerical invariants, such as those developed in this book: the degree of a map, the Euler number of a vector bundle, the genus of a surface, the cobordism class of a manifold, and so forth. With these as motivating examples, the use of homology and homotopy theory in topology should seem quite natural. There are hundreds of exercises, ranging in difficulty from the routine to the unsolved. While these provide examples and further developments of the theory, they are only rarely relied on in the proofs of theorems.","brand":"WoB","offers":[{"title":"- \/ - \/ -","offer_id":51001986253073,"sku":"","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ NEW \/ INGRAM","offer_id":51001989136657,"sku":"NIN9780387901480","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"US \/ VERY_GOOD \/ SBYB","offer_id":51693619773713,"sku":"CIN0387901485VG","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ NEW \/ INGRAM","offer_id":52138538664209,"sku":"NLS9780387901480","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ NEW \/ GARDNERS","offer_id":53010698567953,"sku":"NGR9780387901480","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ VERY_GOOD \/ INTERNAL","offer_id":53191323418897,"sku":"GOR012633605","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"US \/ GOOD \/ SBYB","offer_id":53262889124113,"sku":"CIN0387901485G","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/0387901485.jpg?v=1763635229"},{"product_id":"differential-topology-book-morris-w-hirsch-9781468494518","title":"Differential Topology","description":"This book presents some of the basic topological ideas used in studying differentiable manifolds and maps. Mathematical prerequisites have been kept to a minimum; the standard course in analysis and general topology is adequate preparation. An appendix briefly summarizes some of the back- ground material. In order to emphasize the geometrical and intuitive aspects of differen- tial topology, I have avoided the use of algebraic topology, except in a few isolated places that can easily be skipped. For the same reason I make no use of differential forms or tensors. In my view, advanced algebraic techniques like homology theory are better understood after one has seen several examples of how the raw material of geometry and analysis is distilled down to numerical invariants, such as those developed in this book: the degree of a map, the Euler number of a vector bundle, the genus of a surface, the cobordism class of a manifold, and so forth. With these as motivating examples, the use of homology and homotopy theory in topology should seem quite natural. There are hundreds of exercises, ranging in difficulty from the routine to the unsolved. While these provide examples and further developments of the theory, they are only rarely relied on in the proofs of theorems.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52427225596177,"sku":"NLS9781468494518","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ NEW \/ INGRAM","offer_id":52976873341201,"sku":"NIN9781468494518","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9781468494518.jpg?v=1759160339"},{"product_id":"from-topology-to-computation-proceedings-of-the-smalefest-book-morris-w-hirsch-9781461276487","title":"From Topology to Computation: Proceedings of the Smalefest","description":"An extraordinary mathematical conference was held 5-9 August 1990 at the University of California at Berkeley: From Topology to Computation: Unity and Diversity in the Mathematical Sciences An International Research Conference in Honor of Stephen Smale's 60th Birthday The topics of the conference were some of the fields in which Smale has worked: - Differential Topology - Mathematical Economics - Dynamical Systems - Theory of Computation - Nonlinear Functional Analysis - Physical and Biological Applications This book comprises the proceedings of that conference. The goal of the conference was to gather in a single meeting mathemati- cians working in the many fields to which Smale has made lasting con- tributions. The theme Unity and Diversity is enlarged upon in the section entitled Research Themes and Conference Schedule. The organizers hoped that illuminating connections between seemingly separate mathematical sub- jects would emerge from the conference. Since such connections are not easily made in formal mathematical papers, the conference included discussions after each of the historical reviews of Smale's work in different fields. In addition, there was a final panel discussion at the end of the conference.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52634060980497,"sku":"NLS9781461276487","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9781461276487.jpg?v=1761866689"},{"product_id":"smoothings-of-piecewise-linear-manifolds-book-morris-w-hirsch-9780691081458","title":"Smoothings of Piecewise Linear Manifolds","description":"The intention of the authors is to examine the relationship between piecewise linear structure and differential structure: a relationship, they assert, that can be understood as a homotopy obstruction theory, and, hence, can be studied by using the traditional techniques of algebraic topology. Thus the book attacks the problem of existence and classification (up to isotopy) of differential structures compatible with a given combinatorial structure on a manifold. The problem is completely \"solved\" in the sense that it is reduced to standard problems of algebraic topology. The first part of the book is purely geometrical; it proves that every smoothing of the product of a manifold M and an interval is derived from an essentially unique smoothing of M. In the second part this result is used to translate the classification of smoothings into the problem of putting a linear structure on the tangent microbundle of M. This in turn is converted to the homotopy problem of classifying maps from M into a certain space PL\/O. The set of equivalence classes of smoothings on M is given a natural abelian group structure.","brand":"WoB","offers":[{"title":"US \/ NEW \/ INGRAM","offer_id":53035151393041,"sku":"NIN9780691081458","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9780691081458.jpg?v=1768746209"}],"url":"https:\/\/www.worldofbooks.com\/en-ie\/collections\/author-books-by-morris-w-hirsch.oembed","provider":"World of Books ","version":"1.0","type":"link"}