{"title":"Sp Novikov","description":null,"products":[{"product_id":"topology-i-book-sp-novikov-9783540170075","title":"Topology I","description":"Introduction In the present essay, we attempt to convey some idea of the skeleton of topology, and of various topological concepts. It must be said at once that, apart from the necessary minimum, the subject-matter of this survey does not indude that subdiscipline known as general topology - the theory of general spaces and maps considered in the context of set theory and general category theory. (Doubtless this subject will be surveyed in detail by others. ) With this qualification, it may be daimed that the topology dealt with in the present survey is that mathematieal subject whieh in the late 19th century was called Analysis Situs, and at various later periods separated out into various subdisciplines: Combinatorial topology, Algebraic topology, Differential (or smooth) topology, Homotopy theory, Geometrie topology. With the growth, over a long period of time, in applications of topology to other areas of mathematics, the following further subdisciplines crystallized out: the global calculus of variations, global geometry, the topology of Lie groups and homogeneous spaces, the topology of complex manifolds and alge- braic varieties, the qualitative (topologieal) theory of dynamical systems and foliations, the topology of elliptic and hyperbolic partial differential equations. Finally, in the 1970s and 80s, a whole complex of applications of topologie al methods was made to problems of modern physiesj in fact in several instances it would have been impossible to understand the essence of the real physical phenomena in question without the aid of concepts from topology.","brand":"WoB","offers":[{"title":"- \/ - \/ -","offer_id":51061024555281,"sku":"","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ NEW \/ INGRAM","offer_id":51061027143953,"sku":"NIN9783540170075","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ NEW \/ INGRAM","offer_id":52333468680465,"sku":"NLS9783540170075","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/3540170073.jpg?v=1789468079"},{"product_id":"basic-elements-of-differential-geometry-and-topology-book-sp-novikov-9780792310099","title":"Basic Elements of Differential Geometry and Topology","description":"One service mathematics has rendered the 'Et moi, ., si j'avait su comment en revenir, je n'y serais point aile.' human race. It has put common sense back Jules Verne where it belongs, on the topmost shelf next to the dusty canister labelled 'discarded n- sense'. The series is divergent; therefore we may be able to do something with it. Eric T. Bell O. Heaviside Mathtnatics is a tool for thought. A highly necessary tool in a world where both feedback and non- linearities abound. Similarly, all kinds of parts of mathematics seNe as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics . .'; 'One service logic has rendered com- puter science . .'; 'One service category theory has rendered mathematics . .'. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52144472785169,"sku":"NLS9780792310099","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9780792310099.jpg?v=1785793944"},{"product_id":"basic-elements-of-differential-geometry-and-topology-book-sp-novikov-9789048140800","title":"Basic Elements of Differential Geometry and Topology","description":"One service mathematics has rendered the 'Et moi, ., si j'avait su comment en revenir, je n'y serais point aile.' human race. It has put common sense back Jules Verne where it belongs, on the topmost shelf next to the dusty canister labelled 'discarded n- sense'. The series is divergent; therefore we may be able to do something with it. Eric T. Bell O. Heaviside Mathtnatics is a tool for thought. A highly necessary tool in a world where both feedback and non- linearities abound. Similarly, all kinds of parts of mathematics seNe as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics . .'; 'One service logic has rendered com- puter science . .'; 'One service category theory has rendered mathematics . .'. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series.","brand":"WoB","offers":[{"title":"- \/ - \/ INTERNAL","offer_id":52476519612689,"sku":null,"price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ NEW \/ INGRAM","offer_id":52476520694033,"sku":"NLS9789048140800","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9789048140800.jpg?v=1787133041"},{"product_id":"topology-i-book-sp-novikov-9783642057359","title":"Topology I","description":"Introduction In the present essay, we attempt to convey some idea of the skeleton of topology, and of various topological concepts. It must be said at once that, apart from the necessary minimum, the subject-matter of this survey does not indude that subdiscipline known as general topology - the theory of general spaces and maps considered in the context of set theory and general category theory. (Doubtless this subject will be surveyed in detail by others. ) With this qualification, it may be daimed that the topology dealt with in the present survey is that mathematieal subject whieh in the late 19th century was called Analysis Situs, and at various later periods separated out into various subdisciplines: Combinatorial topology, Algebraic topology, Differential (or smooth) topology, Homotopy theory, Geometrie topology. With the growth, over a long period of time, in applications of topology to other areas of mathematics, the following further subdisciplines crystallized out: the global calculus of variations, global geometry, the topology of Lie groups and homogeneous spaces, the topology of complex manifolds and alge- braic varieties, the qualitative (topologieal) theory of dynamical systems and foliations, the topology of elliptic and hyperbolic partial differential equations. Finally, in the 1970s and 80s, a whole complex of applications of topologie al methods was made to problems of modern physiesj in fact in several instances it would have been impossible to understand the essence of the real physical phenomena in question without the aid of concepts from topology.","brand":"WoB","offers":[{"title":"- \/ - \/ INTERNAL","offer_id":52481777664273,"sku":null,"price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ NEW \/ INGRAM","offer_id":52481778614545,"sku":"NLS9783642057359","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9783642057359.jpg?v=1759852225"}],"url":"https:\/\/www.worldofbooks.com\/en-gb\/collections\/author-books-by-sp-novikov.oembed","provider":"World of Books ","version":"1.0","type":"link"}