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Abstract Algebra

Author: Dan Saracino
Publisher: Waveland Press
ISBN: 1478610131
Size: 56.94 MB
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The Second Edition of this classic text maintains the clear exposition, logical organization, and accessible breadth of coverage that have been its hallmarks. It plunges directly into algebraic structures and incorporates an unusually large number of examples to clarify abstract concepts as they arise. Proofs of theorems do more than just prove the stated results; Saracino examines them so readers gain a better impression of where the proofs come from and why they proceed as they do. Most of the exercises range from easy to moderately difficult and ask for understanding of ideas rather than flashes of insight. The new edition introduces five new sections on field extensions and Galois theory, increasing its versatility by making it appropriate for a two-semester as well as a one-semester course.

Introduction To Matlab With Applications For Chemical And Mechanical Engineers

Author: Daniel G. Coronell
Publisher: CRC Press
ISBN: 1584885157
Size: 38.42 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® optimization toolbox. With a CD-ROM of MATLAB programs, this text is essential for chemical engineers, mechanical engineers, applied mathematicians, and students.

Inference And Asymptotics

Author: D.R. Cox
Publisher: CRC Press
ISBN: 1482245523
Size: 36.39 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

A First Course In Abstract Algebra

Author: John B. Fraleigh
Publisher: Addison-Wesley Longman
ISBN:
Size: 40.64 MB
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Taking a classical approach to abstract algebra while integrating current applications of the subject, the new edition of this bestselling algebra text remains easily accessible and interesting. The book includes a review chapter covering basic linear algebra and proofs plus historical notes written by Victor Katz, an authority in the history of mathematics.

A First Course In Abstract Algebra

Author: Marlow Anderson
Publisher: CRC Press
ISBN: 1482245531
Size: 17.55 MB
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Like its popular predecessors, A First Course in Abstract Algebra: Rings, Groups, and Fields, Third Edition develops ring theory first by drawing on students' familiarity with integers and polynomials. This unique approach motivates students in the study of abstract algebra and helps them understand the power of abstraction. The authors introduce g

A First Course In Abstract Algebra

Author: Joseph J. Rotman
Publisher: Pearson College Division
ISBN: 9780130115843
Size: 72.11 MB
Format: PDF
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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.

First Course In Abstract Algebra A

Author: John B. Fraleigh
Publisher:
ISBN:
Size: 46.98 MB
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Considered a classic by many, A First Course in Abstract Algebra is an in-depth introduction to abstract algebra. Focused on groups, rings and fields, this text gives students a firm foundation for more specialized work by emphasizing an understanding of the nature of algebraic structures.