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$112.04
21. Algebraic Statistics: Computational
 
22. Commutative Algebra (Mathematics
$54.42
23. Approximate Commutative Algebra
 
24. Commutative Algebra Volume I
$169.00
25. Algebras, Rings and Modules: Volume
 
$18.00
26. A Representation Theory for Commutative
$32.96
27. An Introductory Course in Commutative
$61.81
28. Combinatorial Aspects of Commutative
 
$56.20
29. Local Algebra (Springer Monographs
 
$106.93
30. Commutative Algebra: Syzygies,
$34.63
31. Three Lectures on Commutative
$7.00
32. Commutative Algebra: Proceedings
$11.04
33. Computational Methods in Commutative
$114.00
34. Fuzzy Commutative Algebra (Pure
$129.00
35. Integral Closure: Rees Algebras,
$41.94
36. Manis Valuations and Prüfer Extensions
$56.20
37. A Course in Commutative Banach
$38.58
38. An Algebraic Introduction to Complex
$63.15
39. First Course in Abstract Algebra,
$59.99
40. An Introduction To Commutative

21. Algebraic Statistics: Computational Commutative Algebra in Statistics (Chapman & Hall/CRC Monographs on Statistics & Applied Probability)
by Giovanni Pistone, Eva Riccomagno, Henry P. Wynn
Hardcover: 184 Pages (2000-12-21)
list price: US$134.95 -- used & new: US$112.04
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Asin: 1584882042
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Written by pioneers in this exciting new field, Algebraic Statistics introduces the application of polynomial algebra to experimental design, discrete probability, and statistics. It begins with an introduction to Gröbner bases and a thorough description of their applications to experimental design. A special chapter covers the binary case with new application to coherent systems in reliability and two level factorial designs. The work paves the way, in the last two chapters, for the application of computer algebra to discrete probability and statistical modelling through the important concept of an algebraic statistical model.As the first book on the subject, Algebraic Statistics presents many opportunities for spin-off research and applications and should become a landmark work welcomed by both the statistical community and its relatives in mathematics and computer science. ... Read more


22. Commutative Algebra (Mathematics lecture note series ; 56)
by Hideyuki Matsumura
 Paperback: 313 Pages (1980-07)
list price: US$41.50
Isbn: 0805370269
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23. Approximate Commutative Algebra (Texts and Monographs in Symbolic Computation)
Paperback: 227 Pages (2009-09-24)
list price: US$139.00 -- used & new: US$54.42
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Asin: 3211993134
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Approximate Commutative Algebra is an emerging field of research which endeavours to bridge the gap between traditional exact Computational Commutative Algebra and approximate numerical computation. The last 50 years have seen enormous progress in the realm of exact Computational Commutative Algebra, and given the importance of polynomials in scientific modelling, it is very natural to want to extend these ideas to handle approximate, empirical data deriving from physical measurements of phenomena in the real world. In this volume nine contributions from established researchers describe various approaches to tackling a variety of problems arising in Approximate Commutative Algebra. ... Read more


24. Commutative Algebra Volume I
by Oscar and Pierre Samuel Zariski
 Hardcover: Pages (1965)

Asin: B000NZWWBC
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25. Algebras, Rings and Modules: Volume 2 (Mathematics and Its Applications)
by Michiel Hazewinkel, Nadiya Gubareni, V.V. Kirichenko
Paperback: 400 Pages (2010-11-02)
list price: US$169.00 -- used & new: US$169.00
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Asin: 9048172926
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This second volume of this text covers the classical aspects of the theory of groups and their representations. It also offers a general introduction to the modern theory of representations including the representations of quivers and finite partially ordered sets and their applications to finite dimensional algebras. It reviews key recent developments in the theory of special ring classes including Frobenius, quasi-Frobenius, and others.

... Read more

26. A Representation Theory for Commutative Topological Algebra (Memoirs of the American Mathematical Society)
by Richard V Kadison
 Paperback: 39 Pages (1951-12-31)
list price: US$18.00 -- used & new: US$18.00
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Asin: 0821812076
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27. An Introductory Course in Commutative Algebra (Oxford Science Publications)
by A. W. Chatters, C. R. Hajarnavis
Paperback: 160 Pages (1998-07-16)
list price: US$40.00 -- used & new: US$32.96
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Asin: 0198501447
Average Customer Review: 5.0 out of 5 stars
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The authors provide a concise introduction to topics in commutative algebra, with an emphasis on worked examples and applications. Their treatment combines elegant algebraic theory with applications to number theory, problems in classical Greek geometry, and the theory of finite fields, which has important uses in other branches of science. Topics covered include rings and Euclidean rings, the four-squares theorem, fields and field extensions, finite cyclic groups and finite fields. The material can serve equally well as a textbook for an entire course or as preparation for the further study of abstract algebra. ... Read more

Customer Reviews (1)

5-0 out of 5 stars Great Math Book
This is one of the best mathematics books I own. Chatters writting is clear and intuitive. ... Read more


28. Combinatorial Aspects of Commutative Algebra: Exploratory Workshop on Combinatorial Commutative Algebra and Computer Algebra May 29-31, 2008 Mangalia, Romania (Contemporary Mathematics)
Paperback: 184 Pages (2009-11-25)
list price: US$69.00 -- used & new: US$61.81
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Asin: 0821847589
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29. Local Algebra (Springer Monographs in Mathematics)
by Jean-Pierre Serre
 Paperback: 129 Pages (2010-11-02)
list price: US$69.95 -- used & new: US$56.20
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Asin: 3642085903
Average Customer Review: 5.0 out of 5 stars
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This is an English translation of the now classic "Algbre Locale - Multiplicits" originally published by Springer as LNM 11. It gives a short account of the main theorems of commutative algebra, with emphasis on modules, homological methods and intersection multiplicities. Many modifications to the original French text have been made for this English edition, making the text easier to read, without changing its intended informal character. ... Read more

Customer Reviews (1)

5-0 out of 5 stars Serre as usual
This book is crystal clear and reads like a bedtime story.I wish I had it when I took commutative algebra. ... Read more


30. Commutative Algebra: Syzygies, Multiplicities, and Birational Algebra : Ams-Ims-Siam Summer Research Conference on Commutative Algebra July 4-10, 19 (Contemporary Mathematics)
by Ams-Ims-Siam Summer Research Conference on Commutative Algebra, Craig L. Huneke, William J. Heinzer, Judith D. Sally
 Paperback: 444 Pages (1994-04)
list price: US$70.00 -- used & new: US$106.93
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Asin: 0821851888
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This volume contains refereed papers on themes explored at the AMS-IMS-SIAM Summer Research Conference, Commutative Algebra: Syzygies, Multiplicities, and Birational Algebra, held at Mount Holyoke College in 1992. The conference featured a series of one-hour invited lectures on recent advances in commutative algebra and interactions with such areas as algebraic geometry, representation theory, and combinatorics. The major themes of the conference were tight closure Hilbert functions, birational algebra, free resolutions and the homological conjectures, Rees algebras, and local cohomology. With contributions by several leading experts in the field, this volume provides an excellent survey of current research in commutative algebra. ... Read more


31. Three Lectures on Commutative Algebra (University Lecture Series)
by Holger Brenner, Jurgen Herzog, Orlando Villamayor, edited by Juan Elias, Teresa Cortadellas Benitez, Gemma Colome-Nin, and Santiago Zarzuela
Paperback: 190 Pages (2008-08-04)
list price: US$39.00 -- used & new: US$34.63
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Asin: 0821844342
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############################################################################################################################################################################################################################################################### ... Read more


32. Commutative Algebra: Proceedings of a Microprogram Held June 15 - July 2, 1987 (Mathematical Sciences Research Institute Publications)
Hardcover: 516 Pages (1989-08-25)
list price: US$89.95 -- used & new: US$7.00
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Asin: 038796990X
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The papers in this volume, some of which are expository, some strictly research, and some a combination, reflect the intent of the program. They give a cross-section of what is happening now in this area. Nearly all of the manuscripts were solicited from speakers at the conference, and in most instances the manuscript is based on the conference lecture. The editors hope that they will be of interest and of use both to experts and neophytes in the field. ... Read more


33. Computational Methods in Commutative Algebra and Algebraic Geometry (Algorithms and Computation in Mathematics)
by Wolmer Vasconcelos
Paperback: 408 Pages (2004-07-12)
list price: US$89.95 -- used & new: US$11.04
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Asin: 3540213112
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From the reviews:

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34. Fuzzy Commutative Algebra (Pure Mathematics)
by John N. Mordeson, D. S. Malik
Hardcover: 405 Pages (1998-12)
list price: US$114.00 -- used & new: US$114.00
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Asin: 981023628X
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This book is the first to be devoted entirely to fuzzy abstract algebra. It presents an up-to-date version of fuzzy commutative algebra, and focuses on the connection between L-subgroups of a group, and L-subfields of a field. In particular, an up-to-date treatment of nonlinear systems of fuzzy intersection equations is given. ... Read more


35. Integral Closure: Rees Algebras, Multiplicities, Algorithms (Springer Monographs in Mathematics)
by Wolmer Vasconcelos
Paperback: 519 Pages (2010-11-30)
list price: US$129.00 -- used & new: US$129.00
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Asin: 3642064922
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This book gives an account of theoretical and algorithmic developments on the integral closure of algebraic structures. It gives a comprehensive treatment of Rees algebras and multiplicity theory while pointing to applications in many other problem areas. Its main goal is to provide complexity estimates by tracking numerically invariants of the structures that may occur.

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36. Manis Valuations and Prüfer Extensions I: A New Chapter in Commutative Algebra (Lecture Notes in Mathematics) (Pt. 1)
by Manfred Knebusch, Digen Zhang
Paperback: 267 Pages (2002-10-03)
list price: US$52.00 -- used & new: US$41.94
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Asin: 354043951X
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The present book is devoted to a study of relative Prüfer rings and Manis valuations, with an eye to application in real and p-adic geometry. If one wants to expand on the usual algebraic geometry over a non-algebraically closed base field, e.g. a real closed field or p-adically closed field, one typically meets lots of valuation domains. Usually they are not discrete and hence not noetherian. Thus, for a further develomemt of real algebraic and real analytic geometry in particular, and certainly also rigid analytic and p-adic geometry, new chapters of commutative algebra are needed, often of a non-noetherian nature. The present volume presents one such chapter. ... Read more


37. A Course in Commutative Banach Algebras
by Eberhard Kaniuth
Paperback: 368 Pages (2009-11-23)
list price: US$69.95 -- used & new: US$56.20
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Asin: 1441924795
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This book provides a thorough and self-contained introduction to the theory of commutative Banach algebras, aimed at graduate students with a basic knowledge of functional analysis, topology, complex analysis, measure theory, and group theory. At the core of this text are the chapters on Gelfand's theory, regularity and spectral synthesis. Special emphasis is placed on applications in abstract harmonic analysis and on treating many special classes of commutative Banach algebras, such as uniform algebras, group algebras and Beurling algebras, and tensor products. Detailed proofs and a variety of exercises are given. The book is intended for graduate students taking a course on Banach algebras, with various possible specializations, or a Gelfand theory based course in harmonic analysis.

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38. An Algebraic Introduction to Complex Projective Geometry: Commutative Algebra (Cambridge Studies in Advanced Mathematics)
by Christian Peskine
Paperback: 244 Pages (2009-04-09)
list price: US$48.00 -- used & new: US$38.58
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Asin: 0521108470
Average Customer Review: 4.0 out of 5 stars
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In this introduction to commutative algebra, the author choses a route that leads the reader through the essential ideas, without getting embroiled in technicalities. He takes the reader quickly to the fundamentals of complex projective geometry, requiring only a basic knowledge of linear and multilinear algebra and some elementary group theory. The author divides the book into three parts. In the first, he develops the general theory of noetherian rings and modules. He includes a certain amount of homological algebra, and he emphasizes rings and modules of fractions as preparation for working with sheaves. In the second part, he discusses polynomial rings in several variables with coefficients in the field of complex numbers. After Noether's normalization lemma and Hilbert's Nullstellensatz, the author introduces affine complex schemes and their morphisms; he then proves Zariski's main theorem and Chevalley's semi-continuity theorem. Finally, the author's detailed study of Weil and Cartier divisors provides a solid background for modern intersection theory. This is an excellent textbook for those who seek an efficient and rapid introduction to the geometric applications of commutative algebra. ... Read more

Customer Reviews (1)

4-0 out of 5 stars brief, but good
Peskine doesn't give a lot of explanations (he manages to cover on 30 pages what usually takes up half a book) and the exercises are tough, but the book is nevertheless well written, which makes it pretty easy to read and understand. Recommended for everyone willing to work their way through his one-line proofs ("Obvious.")! ... Read more


39. First Course in Abstract Algebra, A (3rd Edition)
by Joseph J. Rotman
Paperback: 640 Pages (2005-10-08)
list price: US$84.00 -- used & new: US$63.15
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Asin: 0131862677
Average Customer Review: 2.5 out of 5 stars
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This text introduces readers to the algebraic concepts of group and rings, providing a comprehensive discussion of theory as well as a significant number of applications for each.

 

Number Theory: Induction; Binomial Coefficients; Greatest Common Divisors; The Fundamental Theorem of Arithmetic

Congruences; Dates and Days. Groups I: Some Set Theory; Permutations; Groups; Subgroups and Lagrange's Theorem; Homomorphisms; Quotient Groups; Group Actions; Counting with Groups. Commutative Rings I: First Properties; Fields; Polynomials; Homomorphisms; Greatest Common Divisors; Unique Factorization; Irreducibility; Quotient Rings and Finite Fields; Officers, Magic, Fertilizer, and Horizons. Linear Algebra: Vector Spaces; Euclidean Constructions; Linear Transformations; Determinants; Codes; Canonical Forms. Fields: Classical Formulas; Insolvability of the General Quintic; Epilog. Groups II: Finite Abelian Groups; The Sylow Theorems; Ornamental Symmetry. Commutative Rings III: Prime Ideals and Maximal Ideals; Unique Factorization; Noetherian Rings; Varieties; Grobner Bases.

 

For all readers interested in abstract algebra. ... Read more

Customer Reviews (8)

1-0 out of 5 stars nothing abstract in this one
this book is the reason i changed my major from pure to applied mathematics. if you paid attention in your second grade arithmetic class, you won't learn anything new from this book. we used this in my so called "abstract algebra" course, but the author is too narrow minded to think of any algebra outside of arithmetic. i had perfect grades in the class, but i dropped it before the final because i was too disgusted with the presentation. you're better off going with a text on formal language theory like aho and ullman, or maybe algebra by birkhoff and mac lane. you could even write yourself something more informative on a 3 by 5 card.

2-0 out of 5 stars Just okay.
Not a lot of details in this book.Mostly just theorems and their proofs.

1-0 out of 5 stars Ugh
This textbook is the first math book I've had that doesn't have any homework answers in the back of the book. Instead, there are "helpful" hints for selected problems that aren't any help at all. This is very frustrating because I never know if I'm getting the right answer or not.

5-0 out of 5 stars Excellent Introduction To Algebra
Rotman's book is a standard for first courses in Abstract Algebra.The book is easy to read and includes plenty of problems to work on.He even includes several standard syllabi in the preface, depending on the type of course that may be taught with it.It begins with some number theory, then goes into the traditional group and ring concepts.The only reason I would say to not buy this book is if you really don't like the theorem-proof, theorem-proof kind of writing, but if you don't, you're likely not interested in Abstract Algebra anyway.An excellent book for learning as well as reference.

3-0 out of 5 stars no better than the first edition
It is always easy to add something to than to get rid of something from the book. I guess this is the case of the author when he prepares the second edition. However, I prefer the first edition because it is more readable, enjoyable, and most importantly, contains just enough information for the introduction to abstract algebra. There are huge number of textbooks on abstract algbra, and making another would not be the author's purpose of the revision, I hope, but it looks it is.
By adding more subjects in detail to the second edition, now it looks the same as any other, only to loose its expository and conversational style of writings, and became a reference-style textbook. ... Read more


40. An Introduction To Commutative Algebra: From The Viewpoint Of Normalization
by Li HUISHI
Hardcover: 175 Pages (2004-11-30)
list price: US$65.00 -- used & new: US$59.99
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Asin: 9812389512
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Product Description
Designed for a one-semester course in mathematics, this textbook presents a concise and practical introduction to commutative algebra in terms of normal (normalized) structure. It shows how the nature of commutative algebra has been used by both number theory and algebraic geometry. Many worked examples and a number of problem (with hints) can be found in the volume. It is also a convenient reference for researchers who use basic commutative algebra. ... Read more


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