{"title":"Joseph J Rotman","description":"\u003cp\u003eDelve into the mathematical world of Joseph J. Rotman, a master of abstract algebra and group theory. Explore his clear, concise, and insightful texts, perfect for students and seasoned mathematicians alike.\u003c\/p\u003e","products":[{"product_id":"first-course-in-abstract-algebra-book-joseph-j-rotman-9780130115843","title":"A First Course in Abstract Algebra","description":"For one-semester or two-semester undergraduate courses in Abstract Algebra.  This new edition has been completely rewritten. The four chapters from the first edition are expanded, from 257 pages in first edition to 384 in the second. Two new chapters have been added: the first 3 chapters are a text for a one-semester course; the last 3 chapters are a text for a second semester. The new Chapter 5, Groups II, contains the fundamental theorem of finite abelian groups, the Sylow theorems, the Jordan-Holder theorem and solvable groups, and presentations of groups (including a careful construction of free groups). The new Chapter 6, Commutative Rings II, introduces prime and maximal ideals, unique factorization in polynomial rings in several variables, noetherian rings and the Hilbert basis theorem, affine varieties (including a proof of Hilbert's Nullstellensatz over the complex numbers and irreducible components), and Grobner bases, including the generalized division algorithm and Buchberger's algorithm.","brand":"WoB","offers":[{"title":"US \/ GOOD \/ SBYB","offer_id":50328814846225,"sku":"CIN0130115843G","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"US \/ VERY_GOOD \/ SBYB","offer_id":51509731426577,"sku":"CIN0130115843VG","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ VERY_GOOD \/ INTERNAL","offer_id":51797546074385,"sku":"GOR007731991","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/0130115843.jpg?v=1751195002"},{"product_id":"journey-into-mathematics-book-joseph-j-rotman-9780486453064","title":"Journey into Mathematics","description":"\u003cdiv\u003eStudents learn how to read and write proofs by actually reading and writing them, asserts author Joseph J. Rotman, adding that merely \u003ci\u003ereading\u003c\/i\u003e about mathematics is no substitute for \u003ci\u003edoing\u003c\/i\u003e mathematics. In addition to teaching how to interpret and construct proofs, Professor Rotman's introductory text imparts other valuable mathematical tools and illustrates the intrinsic beauty and interest of mathematics.\u003cbr\u003e \u003ci\u003eJourney into Mathematics\u003c\/i\u003e offers a coherent story, with intriguing historical and etymological asides. The three-part treatment begins with the mechanics of writing proofs, including some very elementary mathematics--induction, binomial coefficients, and polygonal areas--that allow students to focus on the proofs without the distraction of absorbing unfamiliar ideas at the same time. Once they have acquired some geometric experience with the simpler classical notion of limit, they proceed to considerations of the area and circumference of circles. The text concludes with examinations of complex numbers and their application, via De Moivre's theorem, to real numbers.\u003c\/div\u003e","brand":"WoB","offers":[{"title":"GB \/ NEW \/ GARDNERS","offer_id":50337796981009,"sku":"NGR9780486453064","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ VERY_GOOD \/ INTERNAL","offer_id":50411454169361,"sku":"GOR008858718","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"US \/ GOOD \/ SBYB","offer_id":50661594759441,"sku":"CIN0486453065G","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"US \/ VERY_GOOD \/ SBYB","offer_id":51439455338769,"sku":"CIN0486453065VG","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/0486453065.jpg?v=1751135489"},{"product_id":"introduction-to-homological-algebra-book-joseph-j-rotman-9780387245270","title":"An Introduction to Homological Algebra","description":"Homological Algebra has grown in the nearly three decades since the rst e- tion of this book appeared in 1979. Two books discussing more recent results are Weibel, An Introduction to Homological Algebra, 1994, and Gelfand- Manin, Methods of Homological Algebra, 2003. In their Foreword, Gelfand and Manin divide the history of Homological Algebra into three periods: the rst period ended in the early 1960s, culminating in applications of Ho- logical Algebra to regular local rings. The second period, greatly in uenced by the work of A. Grothendieck and J. -P. Serre, continued through the 1980s; it involves abelian categories and sheaf cohomology. The third period, - volving derived categories and triangulated categories, is still ongoing. Both of these newer books discuss all three periods (see also Kashiwara-Schapira, Categories and Sheaves). The original version of this book discussed the rst period only; this new edition remains at the same introductory level, but it now introduces thesecond period as well. This change makes sense pe- gogically, for there has been a change in the mathematics population since 1979; today, virtually all mathematics graduate students have learned so- thing about functors and categories, and so I can now take the categorical viewpoint more seriously. When I was a graduate student, Homological Algebra was an unpopular subject. The general attitude was that it was a grotesque formalism, boring to learn, and not very useful once one had learned it.","brand":"WoB","offers":[{"title":"US \/ GOOD \/ SBYB","offer_id":50352891887889,"sku":"CIN0387245278G","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ NEW \/ GARDNERS","offer_id":50582345679121,"sku":"NGR9780387245270","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ NEW \/ INGRAM","offer_id":51001950208273,"sku":"NIN9780387245270","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ NEW \/ INGRAM","offer_id":52565281571089,"sku":"NLS9780387245270","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/0387245278.jpg?v=1751445832"},{"product_id":"advanced-modern-algebra-book-joseph-j-rotman-9780130878687","title":"Advanced Modern Algebra","description":"For two-semester, beginning graduate-level courses in Algebra.  The new \"Bibles of Graduate Algebra.\" This text's organizing principle is the interplay between groups and rings, where “rings” includes the ideas of modules. It contains basic definitions, complete and clear proofs, and gives attention to the topics of algebraic geometry, Gröbner bases, homology, and representations. More than merely a succession of definition-theorem-proofs, this text puts results and ideas in context so that students can appreciate why a certain topic is being studied, and where definitions originate.","brand":"WoB","offers":[{"title":"US \/ VERY_GOOD \/ SBYB","offer_id":50812596388113,"sku":"CIN0130878685VG","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"US \/ GOOD \/ SBYB","offer_id":50980617781521,"sku":"CIN0130878685G","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ VERY_GOOD \/ INTERNAL","offer_id":52857012912401,"sku":"GOR010396050","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/0130878685.jpg?v=1750843482"},{"product_id":"introduction-to-algebraic-topology-book-joseph-j-rotman-9780387966786","title":"An Introduction to Algebraic Topology","description":"There is a canard that every textbook of algebraic topology either ends with the definition of the Klein bottle or is a personal communication to J. H. C. Whitehead. Of course, this is false, as a glance at the books of Hilton and Wylie, Maunder, Munkres, and Schubert reveals. Still, the canard does reflect some truth. Too often one finds too much generality and too little attention to details. There are two types of obstacle for the student learning algebraic topology. The first is the formidable array of new techniques (e. g., most students know very little homological algebra); the second obstacle is that the basic defini- tions have been so abstracted that their geometric or analytic origins have been obscured. I have tried to overcome these barriers. In the first instance, new definitions are introduced only when needed (e. g., homology with coeffi- cients and cohomology are deferred until after the Eilenberg-Steenrod axioms have been verified for the three homology theories we treat-singular, sim- plicial, and cellular). Moreover, many exercises are given to help the reader assimilate material. In the second instance, important definitions are often accompanied by an informal discussion describing their origins (e. g., winding numbers are discussed before computing 1tl (Sl), Green's theorem occurs before defining homology, and differential forms appear before introducing cohomology). We assume that the reader has had a first course in point-set topology, but we do discuss quotient spaces, path connectedness, and function spaces.","brand":"WoB","offers":[{"title":"US \/ NEW \/ INGRAM","offer_id":51001978290449,"sku":"NIN9780387966786","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ WELL_READ \/ INTERNAL","offer_id":51376787915025,"sku":"GOR014246116","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"US \/ VERY_GOOD \/ SBYB","offer_id":51423965053201,"sku":"CIN0387966781VG","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ NEW \/ INGRAM","offer_id":52140420464913,"sku":"NLS9780387966786","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/0387966781.jpg?v=1750910459"},{"product_id":"introduction-to-the-theory-of-groups-book-joseph-j-rotman-9781461286868","title":"An Introduction to the Theory of Groups","description":"Anyone who has studied abstract algebra and linear algebra as an undergraduate can understand this book. The first six chapters provide material for a first course, while the rest of the book covers more advanced topics. This revised edition retains the clarity of presentation that was the hallmark of the previous editions. From the reviews: \"Rotman has given us a very readable and valuable text, and has shown us many beautiful vistas along his chosen route.\" --MATHEMATICAL REVIEWS","brand":"WoB","offers":[{"title":"US \/ NEW \/ INGRAM","offer_id":51027458228497,"sku":"NIN9781461286868","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ NEW \/ INGRAM","offer_id":52455136854289,"sku":"NLS9781461286868","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ VERY_GOOD \/ INTERNAL","offer_id":53080017043729,"sku":"GOR014732633","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/1461286867.jpg?v=1753787298"},{"product_id":"introduction-to-algebraic-topology-book-joseph-j-rotman-9781461289302","title":"An Introduction to Algebraic Topology","description":"There is a canard that every textbook of algebraic topology either ends with the definition of the Klein bottle or is a personal communication to J. H. C. Whitehead. Of course, this is false, as a glance at the books of Hilton and Wylie, Maunder, Munkres, and Schubert reveals. Still, the canard does reflect some truth. Too often one finds too much generality and too little attention to details. There are two types of obstacle for the student learning algebraic topology. The first is the formidable array of new techniques (e. g. , most students know very little homological algebra); the second obstacle is that the basic defini­ tions have been so abstracted that their geometric or analytic origins have been obscured. I have tried to overcome these barriers. In the first instance, new definitions are introduced only when needed (e. g. , homology with coeffi­ cients and cohomology are deferred until after the Eilenberg-Steenrod axioms have been verified for the three homology theories we treat-singular, sim­ plicial, and cellular). Moreover, many exercises are given to help the reader assimilate material. In the second instance, important definitions are often accompanied by an informal discussion describing their origins (e. g. , winding numbers are discussed before computing 1tl (Sl), Green's theorem occurs before defining homology, and differential forms appear before introducing cohomology). We assume that the reader has had a first course in point-set topology, but we do discuss quotient spaces, path connectedness, and function spaces.","brand":"WoB","offers":[{"title":"- \/ - \/ -","offer_id":51027510001937,"sku":"","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ NEW \/ INGRAM","offer_id":51027513245969,"sku":"NIN9781461289302","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ NEW \/ INGRAM","offer_id":52619690606865,"sku":"NLS9781461289302","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/1461289300.jpg?v=1750923974"},{"product_id":"advanced-modern-algebra-book-joseph-j-rotman-9781470472757","title":"Advanced Modern Algebra","description":"This book is the second part of the new edition of Advanced Modern Algebra (the first part published as Graduate Studies in Mathematics, Volume 165). Compared to the previous edition, the material has been significantly reorganized and many sections have been rewritten. The book presents many topics mentioned in the first part in greater depth and in more detail. The five chapters of the book are devoted to group theory, representation theory, homological algebra, categories, and commutative algebra, respectively. The book can be used as a text for a second abstract algebra graduate course, as a source of additional material to a first abstract algebra graduate course, or for self-study.","brand":"WoB","offers":[{"title":"- \/ - \/ -","offer_id":51386670842129,"sku":"","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ NEW \/ GARDNERS","offer_id":51386671825169,"sku":"NGR9781470472757","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/1470472759.jpg?v=1763476851"},{"product_id":"journey-into-mathematics-book-joseph-j-rotman-9780138423605","title":"A Journey into Mathematics","description":"The book is designed for self study or “bridge courses” that prepare students finishing calculus for first courses in real variables and abstract algebra.  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Complete proofs are given from the start and coverage begins with elementary mathematics to allow students to focus on the writing and reading of proofs without the distraction of absorbing new ideas simultaneously.","brand":"WoB","offers":[{"title":"- \/ - \/ -","offer_id":51483351875857,"sku":"","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ VERY_GOOD \/ INTERNAL","offer_id":51483352006929,"sku":"GOR005305230","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"US \/ GOOD \/ SBYB","offer_id":52998886850833,"sku":"CIN0138423601G","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/0138423601.jpg?v=1750811343"},{"product_id":"advanced-modern-algebra-book-joseph-j-rotman-9781470415549","title":"Advanced Modern Algebra","description":"This new edition, now in two parts, has been significantly reorganized and many sections have been rewritten. This first part, designed for a first year of graduate algebra, consists of two courses: Galois theory and Module theory. Topics covered in the first course are classical formulas for solutions of cubic and quartic equations, classical number theory, commutative algebra, groups, and Galois theory. 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This introduction to abstract algebra is designed to make the study of all required topics and the reading and writing of proofs both accessible and enjoyable for students encountering the subject for the first time.","brand":"WoB","offers":[{"title":"- \/ - \/ -","offer_id":51877965922577,"sku":null,"price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ VERY_GOOD \/ SBYB","offer_id":51877966774545,"sku":"CIN0133113744VG","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"US \/ GOOD \/ SBYB","offer_id":52040154644753,"sku":"CIN0133113744G","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9780133113747.jpg?v=1754353224"},{"product_id":"introduction-to-homological-algebra-85-book-joseph-j-rotman-9780125992503","title":"Introduction to Homological Algebra, 85","description":"An Introduction to Homological Algebra discusses the origins of algebraic topology. 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