{"title":"John M Lee","description":null,"products":[{"product_id":"introduction-to-riemannian-manifolds-book-john-m-lee-9783319917542","title":"Introduction to Riemannian Manifolds","description":"​This textbook is designed for a one or two semester graduate course on Riemannian geometry for students who are familiar with topological and differentiable manifolds. The second edition has been adapted, expanded, and aptly retitled from Lee’s earlier book, Riemannian Manifolds: An Introduction to Curvature.  Numerous exercises and problem sets provide the student with opportunities to practice and develop skills; appendices contain a brief review of essential background material. While demonstrating the uses of most of the main technical tools needed for a careful study of Riemannian manifolds, this text focuses on ensuring that the student develops an intimate acquaintance with the geometric meaning of curvature. The reasonably broad coverage begins with a treatment of indispensable tools for working with Riemannian metrics such as connections and geodesics. Several topics have been added, including an expanded treatment of pseudo-Riemannianmetrics, a more detailed treatment of homogeneous spaces and invariant metrics, a completely revamped treatment of comparison theory based on Riccati equations, and a handful of new local-to-global theorems, to name just a few highlights. Reviews of the first edition: Arguments and proofs are written down precisely and clearly. The expertise of the author is reflected in many valuable comments and remarks on the recent developments of the subjects. Serious readers would have the challenges of solving the exercises and problems. The book is probably one of the most easily accessible introductions to Riemannian geometry. (M.C. Leung, MathReview)  The book’s aim is to develop tools and intuition for studying the central unifying theme in Riemannian geometry, which is the notion of curvature and its relation with topology. The main ideas of the subject, motivated as in the original papers, are introduced here in an intuitive and accessible way…The book is an excellent introduction designed for a one-semester graduate course, containing exercises and problems which encourage students to practice working with the new notions and develop skills for later use. By citing suitable references for detailed study, the reader is stimulated to inquire into further research. (C.-L. Bejan, zBMATH)","brand":"WoB","offers":[{"title":"GB \/ NEW \/ GARDNERS","offer_id":49739956551953,"sku":"NGR9783319917542","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ VERY_GOOD \/ INTERNAL","offer_id":50973349839121,"sku":"GOR012638809","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"US \/ NEW \/ INGRAM","offer_id":51155147030801,"sku":"NIN9783319917542","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"US \/ GOOD \/ SBYB","offer_id":52107590140177,"sku":"CIN3319917544G","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/3319917544.jpg?v=1750870506"},{"product_id":"axiomatic-geometry-book-john-m-lee-9780821884782","title":"Axiomatic Geometry","description":"The story of geometry is the story of mathematics itself: Euclidean geometry was the first branch of mathematics to be systematically studied and placed on a firm logical foundation, and it is the prototype for the axiomatic method that lies at the foundation of modern mathematics. It has been taught to students for more than two millennia as a model of logical thought.  This book tells the story of how the axiomatic method has progressed from Euclid's time to ours, as a way of understanding what mathematics is, how we read and evaluate mathematical arguments, and why mathematics has achieved the level of certainty it has. It is designed primarily for advanced undergraduates who plan to teach secondary school geometry, but it should also provide something of interest to anyone who wishes to understand geometry and the axiomatic method better. It introduces a modern, rigorous, axiomatic treatment of Euclidean and (to a lesser extent) non-Euclidean geometries, offering students ample opportunities to practice reading and writing proofs while at the same time developing most of the concrete geometric relationships that secondary teachers will need to know in the classroom.","brand":"WoB","offers":[{"title":"US \/ VERY_GOOD \/ SBYB","offer_id":49966602518801,"sku":"CIN0821884786VG","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"US \/ GOOD \/ SBYB","offer_id":50491686584593,"sku":"CIN0821884786G","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/0821884786.jpg?v=1752315481"},{"product_id":"introduction-to-smooth-manifolds-book-john-m-lee-9780387954486","title":"Introduction to Smooth Manifolds","description":"Author has written several excellent Springer books.; This book is a sequel to Introduction to Topological Manifolds; Careful and illuminating explanations, excellent diagrams and exemplary motivation; Includes short preliminary sections before each section explaining what is ahead and why","brand":"WoB","offers":[{"title":"US \/ GOOD \/ SBYB","offer_id":50350817902865,"sku":"CIN0387954481G","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ VERY_GOOD \/ INTERNAL","offer_id":51434134700305,"sku":"GOR008240999","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/0387954481.jpg?v=1750845045"},{"product_id":"introduction-to-complex-manifolds-book-john-m-lee-9781470477820","title":"Introduction to Complex Manifolds","description":"Complex manifolds are smooth manifolds endowed with coordinate charts that overlap holomorphically. They have deep and beautiful applications in many areas of mathematics. This book is an introduction to the concepts, techniques, and main results about complex manifolds (mainly compact ones), and it tells a story. Starting from familiarity with smooth manifolds and Riemannian geometry, it gradually explains what is different about complex manifolds and develops most of the main tools for working with them, using the Kodaira embedding theorem as a motivating project throughout.  The approach and style will be familiar to readers of the author's previous graduate texts: new concepts are introduced gently, with as much intuition and motivation as possible, always relating new concepts to familiar old ones, with plenty of examples. The main prerequisite is familiarity with the basic results on topological, smooth, and Riemannian manifolds. The book is intended for graduate students and researchers in differential geometry, but it will also be appreciated by students of algebraic geometry who wish to understand the motivations, analogies, and analytic results that come from the world of differential geometry.","brand":"WoB","offers":[{"title":"- \/ - \/ -","offer_id":50630838812945,"sku":"","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ NEW \/ GARDNERS","offer_id":50630842810641,"sku":"NGR9781470477820","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/1470477823.jpg?v=1757414519"},{"product_id":"introduction-to-complex-manifolds-book-john-m-lee-9781470476953","title":"Introduction to Complex Manifolds","description":"Complex manifolds are smooth manifolds endowed with coordinate charts that overlap holomorphically. They have deep and beautiful applications in many areas of mathematics. This book is an introduction to the concepts, techniques, and main results about complex manifolds (mainly compact ones), and it tells a story. Starting from familiarity with smooth manifolds and Riemannian geometry, it gradually explains what is different about complex manifolds and develops most of the main tools for working with them, using the Kodaira embedding theorem as a motivating project throughout.  The approach and style will be familiar to readers of the author's previous graduate texts: new concepts are introduced gently, with as much intuition and motivation as possible, always relating new concepts to familiar old ones, with plenty of examples. The main prerequisite is familiarity with the basic results on topological, smooth, and Riemannian manifolds. The book is intended for graduate students and researchers in differential geometry, but it will also be appreciated by students of algebraic geometry who wish to understand the motivations, analogies, and analytic results that come from the world of differential geometry.","brand":"WoB","offers":[{"title":"- \/ - \/ -","offer_id":50630839402769,"sku":"","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ NEW \/ GARDNERS","offer_id":50630843334929,"sku":"NGR9781470476953","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/1470476959.jpg?v=1757414028"},{"product_id":"introduction-to-topological-manifolds-book-john-m-lee-9780387950266","title":"Introduction to Topological Manifolds","description":"This book is an introduction to manifolds at the beginning graduate level. It contains the essential topological ideas that are needed for the further study of manifolds, particularly in the context of differential geometry, algebraic topology, and related fields. Its guiding philosophy is to develop these ideas rigorously but economically, with minimal prerequisites and plenty of geometric intuition. A course on manifolds differs from most other introductory mathematics graduate courses in that the subject matter is often completely unfamiliar. Unlike algebra and analysis, which all math majors see as undergraduates, manifolds enter the curriculum much later. It is even possible to get through an entire undergraduate mathematics education without ever hearing the word 'manifold'. Yet manifolds are part of the basic vocabulary of modern mathematics, and students need to know them as intimately as they know the integers, the real numbers, Euclidean spaces, groups, rings, and fields. In his beautifully conceived introduction, the author motivates the technical developments to follow by explaining some of the roles manifolds play in diverse branches of mathematics and physics. Then he goes on to introduce the basics of general topology and continues with the fundamental group, covering spaces, and elementary homology theory. Manifolds are introduced early and used as the main examples throughout. John M. Lee is currently Professor of Mathematics at the University of Washington.","brand":"WoB","offers":[{"title":"GB \/ VERY_GOOD \/ INTERNAL","offer_id":50684566602001,"sku":"GOR010440345","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ GOOD \/ INTERNAL","offer_id":50938052149521,"sku":"GOR014133731","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/0387950265.jpg?v=1750739736"},{"product_id":"introduction-to-riemannian-manifolds-book-john-m-lee-9783030801069","title":"Introduction to Riemannian Manifolds","description":"​This textbook is designed for a one or two semester graduate course on Riemannian geometry for students who are familiar with topological and differentiable manifolds. The second edition has been adapted, expanded, and aptly retitled from Lee’s earlier book, Riemannian Manifolds: An Introduction to Curvature.  Numerous exercises and problem sets provide the student with opportunities to practice and develop skills; appendices contain a brief review of essential background material. While demonstrating the uses of most of the main technical tools needed for a careful study of Riemannian manifolds, this text focuses on ensuring that the student develops an intimate acquaintance with the geometric meaning of curvature. The reasonably broad coverage begins with a treatment of indispensable tools for working with Riemannian metrics such as connections and geodesics. Several topics have been added, including an expanded treatment of pseudo-Riemannianmetrics, a more detailed treatment of homogeneous spaces and invariant metrics, a completely revamped treatment of comparison theory based on Riccati equations, and a handful of new local-to-global theorems, to name just a few highlights. Reviews of the first edition: Arguments and proofs are written down precisely and clearly. The expertise of the author is reflected in many valuable comments and remarks on the recent developments of the subjects. Serious readers would have the challenges of solving the exercises and problems. The book is probably one of the most easily accessible introductions to Riemannian geometry. (M.C. Leung, MathReview)  The book’s aim is to develop tools and intuition for studying the central unifying theme in Riemannian geometry, which is the notion of curvature and its relation with topology. The main ideas of the subject, motivated as in the original papers, are introduced here in an intuitive and accessible way…The book is an excellent introduction designed for a one-semester graduate course, containing exercises and problems which encourage students to practice working with the new notions and develop skills for later use. By citing suitable references for detailed study, the reader is stimulated to inquire into further research. (C.-L. Bejan, zBMATH)","brand":"WoB","offers":[{"title":"US \/ NEW \/ INGRAM","offer_id":51064567005457,"sku":"NIN9783030801069","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ NEW \/ GARDNERS","offer_id":52111170601233,"sku":"NGR9783030801069","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ NEW \/ INGRAM","offer_id":52613372084497,"sku":"NLS9783030801069","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ GOOD \/ SBYB","offer_id":52946969657617,"sku":"CIN3030801063G","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/3030801063.jpg?v=1751189895"},{"product_id":"riemannian-manifolds-book-john-m-lee-9780387982717","title":"Riemannian Manifolds","description":"This book is designed as a textbook for a one-quarter or one-semester graduate course on Riemannian geometry, for students who are familiar with topological and differentiable manifolds. It focuses on developing an intimate acquaintance with the geometric meaning of curvature. In so doing, it introduces and demonstrates the uses of all the main technical tools needed for a careful study of Riemannian manifolds. The author has selected a set of topics that can reasonably be covered in ten to fifteen weeks, instead of making any attempt to provide an encyclopedic treatment of the subject. The book begins with a careful treatment of the machinery of metrics, connections, and geodesics,without which one cannot claim to be doing Riemannian geometry. It then introduces the Riemann curvature tensor, and quickly moves on to submanifold theory in order to give the curvature tensor a concrete quantitative interpretation. From then on, all efforts are bent toward proving the four most fundamental theorems relating curvature and topology: the Gauss-Bonnet theorem (expressing the total curvature of a surface in term so fits topological type), the Cartan-Hadamard theorem (restricting the topology of manifolds of nonpositive curvature), Bonnet's theorem (giving analogous restrictions on manifolds of strictly positive curvature), and a special case of the Cartan-Ambrose-Hicks theorem (characterizing manifolds of constant curvature). Many other results and techniques might reasonably claim a place in an introductory Riemannian geometry course, but could not be included due to time constraints.","brand":"WoB","offers":[{"title":"- \/ - \/ -","offer_id":51002004504849,"sku":"","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ NEW \/ INGRAM","offer_id":51002007945489,"sku":"NIN9780387982717","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"US \/ GOOD \/ SBYB","offer_id":51695244935441,"sku":"CIN038798271XG","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ NEW \/ INGRAM","offer_id":52138979852561,"sku":"NLS9780387982717","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/038798271X.jpg?v=1750696336"},{"product_id":"habana-house-book-john-m-lee-9781425999520","title":"The Habana House","description":"In the Nineteen Thirties, the relationship between the United States and Cuba was very excellent. In the city of Asbury Park, New Jersey, there was a tavern called The Habana House, owned by Cubans, and in America there was a steamship called the Morro Castle that sailed into the harbors of Cuba. The book relates the relationship between the owner of The Habana House, who is sometimes very dramatic, with Cuba. The hero of the book is investigating the murder of the brother of the female singer at The Habana House, and it takes them to Cuba. Sailing on the cruise ship Morro Castle, they go throughout Cuba, to restaurants, beaches, churches, and fancy hotels. After staying awhile in Cuba, they leave, and out in the ocean the Morro Castle catches fire. The ship finally stops along the New Jersey coast. Over two thousand lives were lost. After being rescued from the Atlantic Ocean, the hero returns to Asbury Park and continues investigating the death of the singer's brother. The owner of The Habana House nightclub, who lost his wife in the Morro Castle tragedy, turns his attentions to the vocalist in the nightclub. One night he rapes her and admits that he had her brother killed. The hero follows the owner, thereby bringing a very exciting conclusion to a powerful struggle of good over evil.","brand":"WoB","offers":[{"title":"US \/ NEW \/ INGRAM","offer_id":51147514872081,"sku":"NIN9781425999520","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ NEW \/ INGRAM","offer_id":52426198057233,"sku":"NLS9781425999520","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/1425999522.jpg?v=1750890528"},{"product_id":"cyrenean-book-john-m-lee-9780759645066","title":"The Cyrenean","description":"Roman slavery, a gladiator, fleeing to Israel, meeting Jesus. Then going into Africa, training an army of warriors, going back to Israel and carrying Jesus' cross, going back and returning with his army to seek revenge, defeating the Roman army.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52402427035921,"sku":"NLS9780759645066","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ NEW \/ INGRAM","offer_id":53380889182481,"sku":"NIN9780759645066","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9780759645066.jpg?v=1758757688"},{"product_id":"cyrenean-book-john-m-lee-9780759645059","title":"The Cyrenean","description":"Roman slavery, a gladiator, fleeing to Israel, meeting Jesus. Then going into Africa, training an army of warriors, going back to Israel and carrying Jesus' cross, going back and returning with his army to seek revenge, defeating the Roman army.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52402800066833,"sku":"NLS9780759645059","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9780759645059.jpg?v=1758759040"},{"product_id":"counterclockwise-book-john-m-lee-9781258223304","title":"Counterclockwise","description":null,"brand":"WoB","offers":[{"title":"- \/ - \/ INTERNAL","offer_id":52782502969617,"sku":null,"price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ NEW \/ INGRAM","offer_id":52782503166225,"sku":"NIN9781258223304","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9781258223304.jpg?v=1764032318"}],"url":"https:\/\/www.worldofbooks.com\/en-ie\/collections\/author-books-by-john-m-lee.oembed","provider":"World of Books ","version":"1.0","type":"link"}