{"title":"Michael Henle","description":null,"products":[{"product_id":"combinatorial-introduction-to-topology-book-michael-henle-9780486679662","title":"A Combinatorial Introduction to Topology","description":"Excellent text covers vector fields, plane homology and the Jordan Curve Theorem, surfaces, homology of complexes, more. Problems and exercises.    Some knowledge of differential equations and multivariate calculus required.   Bibliography. 1979 edition.","brand":"WoB","offers":[{"title":"US \/ GOOD \/ SBYB","offer_id":49530481606929,"sku":"CIN0486679667G","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ VERY_GOOD \/ INTERNAL","offer_id":50104366301457,"sku":"GOR007743524","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ NEW \/ GARDNERS","offer_id":50924549898513,"sku":"NGR9780486679662","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"US \/ VERY_GOOD \/ SBYB","offer_id":53161431564561,"sku":"CIN0486679667VG","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"US \/ NEW \/ INGRAM","offer_id":53230995931409,"sku":"NIN9780486679662","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/0486679667.jpg?v=1750845778"},{"product_id":"modern-geometries-book-michael-henle-9780131934184","title":"Modern Geometries","description":"This text updates the teaching of college geometry based upon three fundamental ideas: geometries only approximate reality; the best presentation of a geometry is by transformation groups; and points and other geometric objects should be co-ordinated. The work is designed to be engaging and accessible, and it describes geometry as it is understood and used by contemporary mathematicians and theoretical scientists.","brand":"WoB","offers":[{"title":"US \/ VERY_GOOD \/ SBYB","offer_id":49917003596049,"sku":"CIN013193418XVG","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/013193418X.jpg?v=1751101192"},{"product_id":"modern-geometries-book-michael-henle-9780130323132","title":"Modern Geometries","description":"For sophomore\/senior-level courses in Geometry.  Engaging and accessible, this text describes geometry as it is understood and used by contemporary mathematicians and theoretical scientists. Basically a non-Euclidean geometry book, it provides a brief, but solid, introduction to modern geometry using analytic methods. It relates geometry to familiar ideas from analytic geometry, staying firmly in the Cartesian plane and building on skills already known and extensively practiced there. It uses the principle geometric concept of congruence or geometric transformation--introducing and using the Erlanger Program explicitly throughout.","brand":"WoB","offers":[{"title":"US \/ GOOD \/ SBYB","offer_id":50344725217553,"sku":"CIN0130323136G","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/0130323136.jpg?v=1751037284"},{"product_id":"which-numbers-are-real-book-michael-henle-9780883857779","title":"Which Numbers Are Real?","description":"Everyone knows the real numbers, those fundamental quantities that make possible all of mathematics from high school algebra and Euclidean geometry through the Calculus and beyond; and also serve as the basis for measurement in science, industry, and ordinary life. This book surveys alternative real number systems: systems that generalize and extend the real numbers yet stay close to these properties that make the reals central to mathematics. Alternative real numbers include many different kinds of numbers, for example multidimensional numbers (the complex numbers, the quaternions and others), infinitely small and infinitely large numbers (the hyperreal numbers and the surreal numbers), and numbers that represent positions in games (the surreal numbers). Each system has a well-developed theory, including applications to other areas of mathematics and science, such as physics, the theory of games, multi-dimensional geometry, and formal logic. They are all active areas of current mathematical research and each has unique features, in particular, characteristic methods of proof and implications for the philosophy of mathematics, both highlighted in this book. Alternative real number systems illuminate the central, unifying role of the real numbers and include some exciting and eccentric parts of mathematics.  Which Numbers Are Real? 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