Here is the second volume of a revised edition of P.M. Cohn's classic three-volume text Algebra, widely regarded as one of the most outstanding introductory algebra textbooks. Volume Two focuses on applications. The text is supported by worked examples, with full proofs, there are numerous exercises with occasional hints, and some historical remarks.
Further Algebra and Applications
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From the reviews of the second volume of the revised edition: "The reader is treated to the spectacle of a very fine mathematician developing many diverse branches of algebra in a direct and illuminating manner. … this volume contains a gold-mine of algebraic nuggets, each developed in a direct and economical manner highlighting the most important results. It is an invaluable source and is to be strongly recommended." (Robert Curtis, The Mathematical Gazette, Vol. 88 (512), 2004) "The author has spent much effort at including a plentiful supply of worked concrete examples and carefully selected exercises. … it is especially the wealth of specific, non-standard topics and important applications that makes this algebra text … highly unique and valuable. … the author manages to cover a vast spectrum of concepts, methods, principles, aspects, and applications of modern algebra in a masterly style. … This introductory algebra text remains one of the very best available, all the more … in this new edition." (Werner Kleinert, Zentralblatt MATH, 1006, 2003)
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Inside This Book
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First Sentence:
Algebraic structures show certain common features: they have operations defined on them, which satisfy laws such as the associative law. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
induction algebra, modular right ideal, semiprimitive rings, minimal acceptor, finite acceptor, inexact sequences, regular quadratic space, coset diagram, ultraproduct theorem, adjoint associativity, semiperfect ring, central division algebra, hyperbolic pairs, covariant right, skew field, free generating set, minimal right ideal, semiprime ring, maximal right ideal, skew polynomial ring, cyclic conjugates, uniform submodules, central polynomial, nil ideals, maximal subfield Key Phrases - Capitalized Phrases (CAPs): (learn more)
Further Exercise, Georg Frobenius, Shimshon Amitsur, Exercises Let, Hyman Bass New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Algebraic structures show certain common features: they have operations defined on them, which satisfy laws such as the associative law. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
induction algebra, modular right ideal, semiprimitive rings, minimal acceptor, finite acceptor, inexact sequences, regular quadratic space, coset diagram, ultraproduct theorem, adjoint associativity, semiperfect ring, central division algebra, hyperbolic pairs, covariant right, skew field, free generating set, minimal right ideal, semiprime ring, maximal right ideal, skew polynomial ring, cyclic conjugates, uniform submodules, central polynomial, nil ideals, maximal subfield Key Phrases - Capitalized Phrases (CAPs): (learn more)
Further Exercise, Georg Frobenius, Shimshon Amitsur, Exercises Let, Hyman Bass New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 41
books:
See all 41 books this book cites
2
books
cite this book:
- Theory of Groups by Marshall Jr. Hall in Back Matter (1), and Back Matter (2)
- Geometric Algebra (Wiley Classics Library) by E. Artin in Back Matter
- Algebraic Geometry (Graduate Texts in Mathematics) by Robin Hartshorne in Back Matter
- Linear Groups with an Exposition of the Galois Field Theory by Leonard Eugene Dickson in Back Matter
- Handbook of Mathematical Logic (Studies in Logic and the Foundations of Mathematics) by J. Barwise in Back Matter
See all 41 books this book cites
- Free Ideal Rings and Localization in General Rings (New Mathematical Monographs) by P. M. Cohn in Back Matter (1), and Back Matter (2)
- Basic Algebra by Paul M. Cohn in Front Matter, and Back Matter
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