A First Course In Abstract Algebra Download Torrent
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Editor: Cengage Learning
ISBN: 0495561363
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ELEMENTS OF MODERN ALGEBRA is intended for an introductory course in abstract algebra taken by Math and Math for Secondary Education majors. Helping to make the study of abstract algebra more accessible, this text gradually introduces and develops concepts through helpful features that provide guidance on the techniques of proof construction and logic analysis. The text develops mathematical maturity for students by presenting the material in a theorem-proof format, with definitions and major results easily located through a user-friendly format. The treatment is rigorous and self-contained, in keeping with the objectives of training the student in the techniques of algebra and of providing a bridge to higher-level mathematical courses. The text has a flexible organization, with section dependencies clearly mapped out and optional topics that instructors can cover or skip based on their course needs. Additionally, problem sets are carefully arranged in order of difficulty to cater assignments to varying student ability levels. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.
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Abstract Algebra An Introduction
Editor: Cengage Learning
ISBN: 1111569622
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Abstract Algebra: An Introduction is set apart by its thematic development and organization. The chapters are organized around two themes: arithmetic and congruence. Each theme is developed first for the integers, then for polynomials, and finally for rings and groups. This enables students to see where many abstract concepts come from, why they are important, and how they relate to one another. New to this edition is a groups first option that enables those who prefer to cover groups before rings to do so easily. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.
Editor: JHU Press
ISBN: 1421411776
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Introduction to Abstract Algebra presents a breakthrough approach to teaching one of math’s most intimidating concepts. Avoiding the pitfalls common in the standard textbooks, Benjamin Fine, Anthony M. Gaglione, and Gerhard Rosenberger set a pace that allows beginner-level students to follow the progression from familiar topics such as rings, numbers, and groups to more difficult concepts. Classroom tested and revised until students achieved consistent, positive results, this textbook is designed to keep students focused as they learn complex topics. Fine, Gaglione, and Rosenberger’s clear explanations prevent students from getting lost as they move deeper and deeper into areas such as abelian groups, fields, and Galois theory. This textbook will help bring about the day when abstract algebra no longer creates intense anxiety but instead challenges students to fully grasp the meaning and power of the approach. Topics covered include:• Rings• Integral domains• The fundamental theorem of arithmetic• Fields• Groups• Lagrange’s theorem• Isomorphism theorems for groups• Fundamental theorem of finite abelian groups• The simplicity of A n for n 5• Sylow theorems• The Jordan-Hölder theorem• Ring isomorphism theorems• Euclidean domains• Principal ideal domains• The fundamental theorem of algebra• Vector spaces• Algebras• Field extensions: algebraic and transcendental• The fundamental theorem of Galois theory• The insolvability of the quintic
Introduction To Abstract Algebra
Editor: Trustworthy Communications, LLC
ISBN: 9780982263310
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This is the classic text for the first undergraduate course in abstract algebra; it follows the rings before groups philosophy that relies on the student's familiarity with the ring of integers to make the abstract axioms feel more concrete. The text and exercises are coordinated to help the student learn to read and write mathematical proofs. To achieve an understanding of the methods of proof, the unique factorization theorems are presented several times in different contexts. The integers are covered first, then polynomial rings over a field and, in the final chapter, factorization in principal ideal domains. Results on finite fields up through existence and uniqueness are proved without the use of linear algebra. The material on groups is studied in three chapters, the first giving definitions and examples, including permutation groups; the second gives the classification of finite abelian groups; the third discusses groups acting on sets and gives the proofs of the Sylow theorems. There are many worked examples and a large number of exercises of varying levels of difficulty. By carefully selecting sections to be covered in class lectures, an instructor will find this text suitable for almost any syllabus giving an introduction to abstract algebra.
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Proceedings Of The International Acm Sigplan Conference On Principles And Practice Of Declarative Programming
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Notices Of The American Mathematical Society
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Books In Print
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Books in print is the major source of information on books currently published and in print in the United States. The database provides the record of forthcoming books, books in-print, and books out-of-print.Download Book A First Course In Abstract Algebra in PDF format. You can Read Online A First Course In Abstract Algebra here in PDF, EPUB, Mobi or Docx formats.
Inference And Asymptotics
Author : D.R. CoxISBN : 9781482245523
Genre : Mathematics
File Size : 44. 89 MB
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Numbers, Polynomials, and Factoring The Natural Numbers The Integers Modular Arithmetic Polynomials with Rational CoefficientsFactorization of PolynomialsSection I in a NutshellRings, Domains, and Fields Rings Subrings and Unity Integral Domains and Fields Ideals Polynomials over a Field Section II in a NutshellRing Homomorphisms and Ideals Ring HomomorphismsThe Kernel Rings of Cosets The Isomorphism Theorem for Rings Maximal and Prime Ideals The Chinese Remainder Theorem Section III in a NutshellGroups Symmetries of Geometric Figures PermutationsAbstract Groups Subgroups Cyclic Groups Section
Introduction To Matlab With Applications For Chemical And Mechanical Engineers
Author : Daniel G. CoronellISBN : 9781584885153
Genre : Science
File Size : 47. 55 MB
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Introduction to MATLAB with Applications for Chemical and Mechanical Engineers provides applications from chemical engineering and biotechnology, such as thermodynamics, heat transfer, fluid mechanics, and mass transfer. The book features a section on input, output, and storage of data as well as a section on data analysis and parameter estimation that contains statistical analysis, curve fitting optimization, and error analysis. Many applied case studies are included from the engineering disciplines. It also offers instruction on the use of the MATLAB速 optimization toolbox. With a CD-ROM of MATLAB programs, this text is essential for chemical engineers, mechanical engineers, applied mathematicians, and students.
A First Course In Abstract Algebra
Author : John B. FraleighISBN : 0201104059
Genre : Mathematics
File Size : 64. 52 MB
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Considered a classic by many, A First Course in Abstract Algebra is an in-depth, introductory text which gives students a firm foundation for more specialized work by emphasizing an understanding of the nature of algebraic structures. The Sixth Edition continues its tradition of teaching in a classical manner, while integrating field theory and new exercises.
A First Course In Abstract Algebra
Author : Hiram PaleyISBN : UOM:39015050448441
Genre : Algebra, Abstract
File Size : 45. 84 MB
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A First Course In Abstract Algebra
Author : Philip J. HigginsISBN : 0442300840
Genre : Mathematics
File Size : 29. 60 MB
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A First Course In Abstract Algebra
Author : Joseph J. RotmanISBN : 0131862677
Genre : Mathematics
File Size : 58. 38 MB
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Abstract Algebra Examples
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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.
A First Course In Abstract Algebra
Author : Bruce CoopersteinAbstract Algebra Pdf
ISBN : UCSC:32106017118057
Genre : Algebra, Abstract
File Size : 76. 64 MB
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First Course In Abstract Algebra
A First Course In Abstract Algebra Download Torrent Pdf
Author : Richard E. JohnsonISBN : MINN:319510007874756
Genre : Algebra, Abstract
File Size : 83. 31 MB
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Abstract Algebra Examples
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Inference And Asymptotics
Author : D.R. CoxAbstract Algebra Pdf
ISBN : 9781482245523
1st Course In Abstract Algebra Solution Manual
Genre : MathematicsFile Size : 33. 21 MB
Format : PDF, Kindle
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Numbers, Polynomials, and Factoring The Natural Numbers The Integers Modular Arithmetic Polynomials with Rational CoefficientsFactorization of PolynomialsSection I in a NutshellRings, Domains, and Fields Rings Subrings and Unity Integral Domains and Fields Ideals Polynomials over a Field Section II in a NutshellRing Homomorphisms and Ideals Ring HomomorphismsThe Kernel Rings of Cosets The Isomorphism Theorem for Rings Maximal and Prime Ideals The Chinese Remainder Theorem Section III in a NutshellGroups Symmetries of Geometric Figures PermutationsAbstract Groups Subgroups Cyclic Groups Section
Exam Prep For A First Course In Abstract Algebra By Fraleigh 7th Ed
Author : FraleighISBN : 1428869166
Genre : Education
File Size : 37. 51 MB
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