{"title":"Manfredo P Do Carmo","description":"\u003cp\u003eExplore the profound insights of Manfredo P. do Carmo into differential geometry and mathematical analysis. A cornerstone for students and researchers, his works offer clarity and depth in complex mathematical landscapes.\u003c\/p\u003e","products":[{"product_id":"riemannian-geometry-book-manfredo-p-do-carmo-9780817634902","title":"Riemannian Geometry","description":"Riemannian Geometry is an expanded edition of a highly acclaimed and successful textbook (originally published in Portuguese) for first-year graduate students in mathematics and physics.","brand":"WoB","offers":[{"title":"GB \/ VERY_GOOD \/ INTERNAL","offer_id":49586396266769,"sku":"GOR007577895","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ NEW \/ GARDNERS","offer_id":49731552641297,"sku":"NGR9780817634902","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ WELL_READ \/ SBYB","offer_id":50313120350481,"sku":"CIN0817634908A","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"US \/ VERY_GOOD \/ SBYB","offer_id":50426144719121,"sku":"CIN0817634908VG","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"US \/ NEW \/ INGRAM","offer_id":51108018553105,"sku":"NIN9780817634902","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"US \/ GOOD \/ SBYB","offer_id":51905049755921,"sku":"CIN0817634908G","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ GOOD \/ INTERNAL","offer_id":53508315939089,"sku":"GOR014951734","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/0817634908.jpg?v=1751433908"},{"product_id":"differential-geometry-of-curves-and-surfaces-book-manfredo-p-do-carmo-9780486806990","title":"Differential Geometry of Curves and Surfaces","description":"One of the most widely used texts in its field, this volume has been continuously in print since its initial 1976 publication. The clear, well-written exposition is enhanced by many examples and exercises, some with hints and answers. Prerequisites include an undergraduate course in linear algebra and some familiarity with the calculus of several variables.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ GARDNERS","offer_id":49728004522257,"sku":"NGR9780486806990","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ VERY_GOOD \/ SBYB","offer_id":49917956456721,"sku":"CIN0486806995VG","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ VERY_GOOD \/ INTERNAL","offer_id":50068058472721,"sku":"GOR010763741","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ GOOD \/ SBYB","offer_id":50762244784401,"sku":"CIN0486806995G","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ LIKE_NEW \/ INTERNAL","offer_id":52582899810577,"sku":"GOR011726903","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/0486806995.jpg?v=1751229326"},{"product_id":"differential-forms-and-applications-book-manfredo-p-do-carmo-9783540576181","title":"Differential Forms and Applications","description":"This is a free translation of a set of notes published originally in Portuguese in 1971. They were translated for a course in the College of Differential Geome­ try, ICTP, Trieste, 1989. In the English translation we omitted a chapter on the Frobenius theorem and an appendix on the nonexistence of a complete hyperbolic plane in euclidean 3-space (Hilbert's theorem). For the present edition, we introduced a chapter on line integrals. In Chapter 1 we introduce the differential forms in Rn. We only assume an elementary knowledge of calculus, and the chapter can be used as a basis for a course on differential forms for \"users\" of Mathematics. In Chapter 2 we start integrating differential forms of degree one along curves in Rn. This already allows some applications of the ideas of Chapter 1. This material is not used in the rest of the book. In Chapter 3 we present the basic notions of differentiable manifolds. It is useful (but not essential) that the reader be familiar with the notion ofa regular surface in R3. In Chapter 4 we introduce the notion of manifold with boundary and prove Stokes theorem and Poincare's lemma. Starting from this basic material, we could follow any of the possi­ ble routes for applications: Topology, Differential Geometry, Mechanics, Lie Groups, etc. We have chosen Differential Geometry. For simplicity, we re­ stricted ourselves to surfaces.","brand":"WoB","offers":[{"title":"- \/ - \/ -","offer_id":51060988182801,"sku":"","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ NEW \/ INGRAM","offer_id":51060990837009,"sku":"NIN9783540576181","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ NEW \/ INGRAM","offer_id":52584702378257,"sku":"NLS9783540576181","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/3540576185.jpg?v=1750838058"}],"url":"https:\/\/www.worldofbooks.com\/en-gb\/collections\/author-books-by-manfredo-p-do-carmo.oembed","provider":"World of Books ","version":"1.0","type":"link"}