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A First Course In Abstract Algebra With Applications

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A First Course in Abstract Algebra

A First Course In Abstract Algebra With Applications [Pdf/ePub] eBook

A First Course in Abstract Algebra by Joseph J. Rotman Book Summary:

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

A First Course In Abstract Algebra With Applications [Pdf/ePub] eBook

A First Course in Abstract Algebra by John B. Fraleigh Book Summary:

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.

Introduction to MATLAB with Applications for Chemical and Mechanical Engineers

A First Course In Abstract Algebra With Applications [Pdf/ePub] eBook

Introduction to MATLAB with Applications for Chemical and Mechanical Engineers by Daniel G. Coronell Book Summary:

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.

A First Course in Abstract Algebra

A First Course In Abstract Algebra With Applications [Pdf/ePub] eBook

A First Course in Abstract Algebra by Joseph J. Rotman Book Summary:

This spectacularly clear introduction to abstract algebra is is designed to make the study of all required topics and the reading and writing of proofs both accessible and enjoyable for readers encountering the subject for the first time. Number Theory. Groups. Commutative Rings. Modules. Algebras. Principal Idea Domains. Group Theory II. Polynomials In Several Variables. For anyone interested in learning abstract algebra.

A First Course in Mathematical Logic and Set Theory

A First Course In Abstract Algebra With Applications [Pdf/ePub] eBook

A First Course in Mathematical Logic and Set Theory by Michael L. O'Leary Book Summary:

A mathematical introduction to the theory and applications of logic and set theory with an emphasis on writing proofs Highlighting the applications and notations of basic mathematical concepts within the framework of logic and set theory, A First Course in Mathematical Logic and Set Theory introduces how logic is used to prepare and structure proofs and solve more complex problems. The book begins with propositional logic, including two-column proofs and truth table applications, followed by first-order logic, which provides the structure for writing mathematical proofs. Set theory is then introduced and serves as the basis for defining relations, functions, numbers, mathematical induction, ordinals, and cardinals. The book concludes with a primer on basic model theory with applications to abstract algebra. A First Course in Mathematical Logic and Set Theory also includes: Section exercises designed to show the interactions between topics and reinforce the presented ideas and concepts Numerous examples that illustrate theorems and employ basic concepts such as Euclid’s lemma, the Fibonacci sequence, and unique factorization Coverage of important theorems including the well-ordering theorem, completeness theorem, compactness theorem, as well as the theorems of Löwenheim–Skolem, Burali-Forti, Hartogs, Cantor–Schröder–Bernstein, and König An excellent textbook for students studying the foundations of mathematics and mathematical proofs, A First Course in Mathematical Logic and Set Theory is also appropriate for readers preparing for careers in mathematics education or computer science. In addition, the book is ideal for introductory courses on mathematical logic and/or set theory and appropriate for upper-undergraduate transition courses with rigorous mathematical reasoning involving algebra, number theory, or analysis.

A First Course in Abstract Algebra

A First Course In Abstract Algebra With Applications [Pdf/ePub] eBook

A First Course in Abstract Algebra by John B. Fraleigh Book Summary:

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.

Abstract Algebra

A First Course In Abstract Algebra With Applications [Pdf/ePub] eBook

Abstract Algebra by Thomas W Judson Book Summary:

Download or read Abstract Algebra book by clicking button below to visit the book download website. There are multiple format available for you to choose (Pdf, ePub, Doc).

A First Course in Abstract Algebra

A First Course In Abstract Algebra With Applications [Pdf/ePub] eBook

A First Course in Abstract Algebra by John B. Fraleigh Book Summary:

Download or read A First Course in Abstract Algebra book by clicking button below to visit the book download website. There are multiple format available for you to choose (Pdf, ePub, Doc).

A First Graduate Course in Abstract Algebra

A First Course In Abstract Algebra With Applications [Pdf/ePub] eBook

A First Graduate Course in Abstract Algebra by William Jennings Wickless Book Summary:

Realizing the specific needs of first-year graduate students, this reference allows readers to grasp and master fundamental concepts in abstract algebra-establishing a clear understanding of basic linear algebra and number, group, and commutative ring theory and progressing to sophisticated discussions on Galois and Sylow theory, the structure of abelian groups, the Jordan canonical form, and linear transformations and their matrix representations.

Introduction to MATLAB with Applications for Chemical and Mechanical Engineers

A First Course In Abstract Algebra With Applications [Pdf/ePub] eBook

Introduction to MATLAB with Applications for Chemical and Mechanical Engineers by Daniel G. Coronell Book Summary:

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.

Abstract Algebra with Applications

A First Course In Abstract Algebra With Applications [Pdf/ePub] eBook

Abstract Algebra with Applications by Audrey Terras Book Summary:

Abstract Algebra with Applications provides a friendly and concise introduction to algebra, with an emphasis on its uses in the modern world. The first part of this book covers groups, after some preliminaries on sets, functions, relations, and induction, and features applications such as public-key cryptography, Sudoku, the finite Fourier transform, and symmetry in chemistry and physics. The second part of this book covers rings and fields, and features applications such as random number generators, error correcting codes, the Google page rank algorithm, communication networks, and elliptic curve cryptography. The book's masterful use of colorful figures and images helps illustrate the applications and concepts in the text. Real-world examples and exercises will help students contextualize the information. Meant for a year-long undergraduate course in algebra for mathematics, engineering, and computer science majors, the only prerequisites are calculus and a bit of courage when asked to do a short proof.

Applied Abstract Algebra

A First Course In Abstract Algebra With Applications [Pdf/ePub] eBook

Applied Abstract Algebra by Rudolf Lidl,Günter Pilz Book Summary:

Accessible to junior and senior undergraduate students, this survey contains many examples, solved exercises, sets of problems, and parts of abstract algebra of use in many other areas of discrete mathematics. Although this is a mathematics book, the authors have made great efforts to address the needs of users employing the techniques discussed. Fully worked out computational examples are backed by more than 500 exercises throughout the 40 sections. This new edition includes a new chapter on cryptology, and an enlarged chapter on applications of groups, while an extensive chapter has been added to survey other applications not included in the first edition. The book assumes knowledge of the material covered in a course on linear algebra and, preferably, a first course in (abstract) algebra covering the basics of groups, rings, and fields.

A First Course in Linear Algebra

A First Course In Abstract Algebra With Applications [Pdf/ePub] eBook

A First Course in Linear Algebra by Minking Eie,Shou-Te Chang Book Summary:

A First Course in Linear Algebra is written by two experts from algebra who have more than 20 years of experience in algebra, linear algebra and number theory. It prepares students with no background in Linear Algebra. Students, after mastering the materials in this textbook, can already understand any Linear Algebra used in more advanced books and research papers in Mathematics or in other scientific disciplines. This book provides a solid foundation for the theory dealing with finite dimensional vector spaces. It explains in details the relation between linear transformations and matrices. One may thus use different viewpoints to manipulate a matrix instead of a one-sided approach. Although most of the examples are for real and complex matrices, a vector space over a general field is briefly discussed. Several optional sections are devoted to applications to demonstrate the power of Linear Algebra.

First Course in Abstract Algebra, A: Pearson New International Edition

A First Course In Abstract Algebra With Applications [Pdf/ePub] eBook

First Course in Abstract Algebra, A: Pearson New International Edition by John B. Fraleigh Book Summary:

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.

Abstract Algebra

A First Course In Abstract Algebra With Applications [Pdf/ePub] eBook

Abstract Algebra by David R. Finston,Patrick J. Morandi Book Summary:

This text seeks to generate interest in abstract algebra by introducing each new structure and topic via a real-world application. The down-to-earth presentation is accessible to a readership with no prior knowledge of abstract algebra. Students are led to algebraic concepts and questions in a natural way through their everyday experiences. Applications include: Identification numbers and modular arithmetic (linear) error-correcting codes, including cyclic codes ruler and compass constructions cryptography symmetry of patterns in the real plane Abstract Algebra: Structure and Application is suitable as a text for a first course on abstract algebra whose main purpose is to generate interest in the subject or as a supplementary text for more advanced courses. The material paves the way to subsequent courses that further develop the theory of abstract algebra and will appeal to students of mathematics, mathematics education, computer science, and engineering interested in applications of algebraic concepts.

A First Course in Complex Analysis with Applications

A First Course In Abstract Algebra With Applications [Pdf/ePub] eBook

A First Course in Complex Analysis with Applications by Dennis G. Zill,Zill,Patrick D. Shanahan Book Summary:

The new Second Edition of A First Course in Complex Analysis with Applications is a truly accessible introduction to the fundamental principles and applications of complex analysis. Designed for the undergraduate student with a calculus background but no prior experience with complex variables, this text discusses theory of the most relevant mathematical topics in a student-friendly manner. With Zill's clear and straightforward writing style, concepts are introduced through numerous examples and clear illustrations. Students are guided and supported through numerous proofs providing them with a higher level of mathematical insight and maturity. Each chapter contains a separate section on the applications of complex variables, providing students with the opportunity to develop a practical and clear understanding of complex analysis.

A First Course in Linear Algebra

A First Course In Abstract Algebra With Applications [Pdf/ePub] eBook

A First Course in Linear Algebra by Hal G. Moore,Adil Yaqub Book Summary:

This text intends to transform students from passive observers of mathematics to participants in it. The book employs a spiral development of ideas to blend the requirements of problem solving, analytical thinking, computational technique, and applications, and emphasizes the interplay of algebraic and geometric concepts. It includes an extensive number of exercises, ranging from routine to challenging. The Third Edition offers 40 percent new material, including manynew applications. It incorporates MATLAB to demonstrate how computational software tools can be used in this field. * Offers a proven, successful approach to Linear Algebra * Contains a practical presentation, illuminating examples, and exceptional exercises, thus enabling instructors to emphasize computational techniques, theoretical material, and applications * Includes a wide variety of effective applications * Provides a student friendly writing style * Begins with the familiar and proceeds to the new in a well-motivated manner * Acknowledges current reforms and proceeds from there * Explains how to solve some examples in MATLAB, demonstrating how such software tools can be used in this field * Includes student projects at close of chapter exercise sets

Basic Abstract Algebra

A First Course In Abstract Algebra With Applications [Pdf/ePub] eBook

Basic Abstract Algebra by P. B. Bhattacharya,S. K. Jain,S. R. Nagpaul Book Summary:

This book provides a complete abstract algebra course, enabling instructors to select the topics for use in individual classes.

First Course in Linear Algebra

A First Course In Abstract Algebra With Applications [Pdf/ePub] eBook

First Course in Linear Algebra by Phani Bhushan Bhattacharya,S. K. Jain Book Summary:

Download or read First Course in Linear Algebra book by clicking button below to visit the book download website. There are multiple format available for you to choose (Pdf, ePub, Doc).

Abstract Algebra

A First Course In Abstract Algebra With Applications [Pdf/ePub] eBook

Abstract Algebra by Stephen Lovett Book Summary:

A Discovery-Based Approach to Learning about Algebraic Structures Abstract Algebra: Structures and Applications helps students understand the abstraction of modern algebra. It emphasizes the more general concept of an algebraic structure while simultaneously covering applications. The text can be used in a variety of courses, from a one-semester introductory course to a full two-semester sequence. The book presents the core topics of structures in a consistent order: Definition of structure Motivation Examples General properties Important objects Description Subobjects Morphisms Subclasses Quotient objects Action structures Applications The text uses the general concept of an algebraic structure as a unifying principle and introduces other algebraic structures besides the three standard ones (groups, rings, and fields). Examples, exercises, investigative projects, and entire sections illustrate how abstract algebra is applied to areas of science and other branches of mathematics.

Abstract Algebra

A First Course In Abstract Algebra With Applications [Pdf/ePub] eBook

Abstract Algebra by Dan Saracino Book Summary:

The simplicity of the language, the organization of the ideas, and the conciseness with completeness are this books main strengths as it introduces abstract algebra. It plunges directly into algebraic structures and incorporates an unusually large number of examples to clarify abstract concepts as they arise. Theorem proofs do more than just prove the stated results, they are examined so readers can 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.

A First Course in Modular Forms

A First Course In Abstract Algebra With Applications [Pdf/ePub] eBook

A First Course in Modular Forms by Fred Diamond,Jerry Shurman Book Summary:

This book introduces the theory of modular forms, from which all rational elliptic curves arise, with an eye toward the Modularity Theorem. Discussion covers elliptic curves as complex tori and as algebraic curves; modular curves as Riemann surfaces and as algebraic curves; Hecke operators and Atkin-Lehner theory; Hecke eigenforms and their arithmetic properties; the Jacobians of modular curves and the Abelian varieties associated to Hecke eigenforms. As it presents these ideas, the book states the Modularity Theorem in various forms, relating them to each other and touching on their applications to number theory. The authors assume no background in algebraic number theory and algebraic geometry. Exercises are included.

A First Course in Noncommutative Rings

A First Course In Abstract Algebra With Applications [Pdf/ePub] eBook

A First Course in Noncommutative Rings by Tsit-Yuen Lam Book Summary:

Aimed at the novice rather than the connoisseur and stressing the role of examples and motivation, this text is suitable not only for use in a graduate course, but also for self-study in the subject by interested graduate students. More than 400 exercises testing the understanding of the general theory in the text are included in this new edition.

A Primer of Abstract Mathematics

A First Course In Abstract Algebra With Applications [Pdf/ePub] eBook

A Primer of Abstract Mathematics by Robert B. Ash Book Summary:

The purpose of this book is to prepare the reader for coping with abstract mathematics. The intended audience is both students taking a first course in abstract algebra who feel the need to strengthen their background and those from a more applied background who need some experience in dealing with abstract ideas. Learning any area of abstract mathematics requires not only ability to write formally but also to think intuitively about what is going on and to describe that process clearly and cogently in ordinary English. Ash tries to aid intuition by keeping proofs short and as informal as possible and using concrete examples as illustration. Thus, it is an ideal textbook for an audience with limited experience in formalism and abstraction. A number of expository innovations are included, for example, an informal development of set theory which teaches students all the basic results for algebra in one chapter.

A First Course in Linear Algebra

A First Course In Abstract Algebra With Applications [Pdf/ePub] eBook

A First Course in Linear Algebra by Robert A. Beezer Book Summary:

An introduction to the basic concepts of linear algebra, along with an introduction to the techniques of formal mathematics. Numerous worked examples and exercises, along with precise statements of definitions and complete proofs of every theorem, make the text ideal for independent study.

A First Course in Abstract Algebra

A First Course In Abstract Algebra With Applications [Pdf/ePub] eBook

A First Course in Abstract Algebra by Philip J. Higgins Book Summary:

Download or read A First Course in Abstract Algebra book by clicking button below to visit the book download website. There are multiple format available for you to choose (Pdf, ePub, Doc).

A Course in Algebra

A First Course In Abstract Algebra With Applications [Pdf/ePub] eBook

A Course in Algebra by Ėrnest Borisovich Vinberg Book Summary:

Great book! The author's teaching experinece shows in every chapter. --Efim Zelmanov, University of California, San Diego Vinberg has written an algebra book that is excellent, both as a classroom text or for self-study. It is plain that years of teaching abstract algebra have enabled him to say the right thing at the right time. --Irving Kaplansky, MSRI This is a comprehensive text on modern algebra written for advanced undergraduate and basic graduate algebra classes. The book is based on courses taught by the author at the Mechanics and Mathematics Department of Moscow State University and at the Mathematical College of the Independent University of Moscow. The unique feature of the book is that it contains almost no technically difficult proofs. Following his point of view on mathematics, the author tried, whenever possible, to replace calculations and difficult deductions with conceptual proofs and to associate geometric images to algebraic objects. Another important feature is that the book presents most of the topics on several levels, allowing the student to move smoothly from initial acquaintance to thorough study and deeper understanding of the subject. Presented are basic topics in algebra such as algebraic structures, linear algebra, polynomials, groups, as well as more advanced topics like affine and projective spaces, tensor algebra, Galois theory, Lie groups, associative algebras and their representations. Some applications of linear algebra and group theory to physics are discussed. Written with extreme care and supplied with more than 200 exercises and 70 figures, the book is also an excellent text for independent study.

Applied Linear Algebra and Matrix Analysis

A First Course In Abstract Algebra With Applications [Pdf/ePub] eBook

Applied Linear Algebra and Matrix Analysis by Thomas S. Shores Book Summary:

This new book offers a fresh approach to matrix and linear algebra by providing a balanced blend of applications, theory, and computation, while highlighting their interdependence. Intended for a one-semester course, Applied Linear Algebra and Matrix Analysis places special emphasis on linear algebra as an experimental science, with numerous examples, computer exercises, and projects. While the flavor is heavily computational and experimental, the text is independent of specific hardware or software platforms. Throughout the book, significant motivating examples are woven into the text, and each section ends with a set of exercises.

Introduction to Abstract Algebra

A First Course In Abstract Algebra With Applications [Pdf/ePub] eBook

Introduction to Abstract Algebra by Jonathan D. H. Smith Book Summary:

Introduction to Abstract Algebra, Second Edition presents abstract algebra as the main tool underlying discrete mathematics and the digital world. It avoids the usual groups first/rings first dilemma by introducing semigroups and monoids, the multiplicative structures of rings, along with groups. This new edition of a widely adopted textbook covers applications from biology, science, and engineering. It offers numerous updates based on feedback from first edition adopters, as well as improved and simplified proofs of a number of important theorems. Many new exercises have been added, while new study projects examine skewfields, quaternions, and octonions. The first three chapters of the book show how functional composition, cycle notation for permutations, and matrix notation for linear functions provide techniques for practical computation. These three chapters provide a quick introduction to algebra, sufficient to exhibit irrational numbers or to gain a taste of cryptography. Chapters four through seven cover abstract groups and monoids, orthogonal groups, stochastic matrices, Lagrange’s theorem, groups of units of monoids, homomorphisms, rings, and integral domains. The first seven chapters provide basic coverage of abstract algebra, suitable for a one-semester or two-quarter course. Each chapter includes exercises of varying levels of difficulty, chapter notes that point out variations in notation and approach, and study projects that cover an array of applications and developments of the theory. The final chapters deal with slightly more advanced topics, suitable for a second-semester or third-quarter course. These chapters delve deeper into the theory of rings, fields, and groups. They discuss modules, including vector spaces and abelian groups, group theory, and quasigroups. This textbook is suitable for use in an undergraduate course on abstract algebra for mathematics, computer science, and education majors, along with students from other STEM fields.

A First Undergraduate Course in Abstract Algebra

A First Course In Abstract Algebra With Applications [Pdf/ePub] eBook

A First Undergraduate Course in Abstract Algebra by Abraham P. Hillman,Gerald L. Alexanderson Book Summary:

Download or read A First Undergraduate Course in Abstract Algebra book by clicking button below to visit the book download website. There are multiple format available for you to choose (Pdf, ePub, Doc).

A Book of Abstract Algebra

A First Course In Abstract Algebra With Applications [Pdf/ePub] eBook

A Book of Abstract Algebra by Charles C Pinter Book Summary:

Accessible but rigorous, this outstanding text encompasses all of the topics covered by a typical course in elementary abstract algebra. Its easy-to-read treatment offers an intuitive approach, featuring informal discussions followed by thematically arranged exercises. This second edition features additional exercises to improve student familiarity with applications. 1990 edition.

A First Course in Linear Algebra

A First Course In Abstract Algebra With Applications [Pdf/ePub] eBook

A First Course in Linear Algebra by Raymond A. Beauregard,John B. Fraleigh Book Summary:

Download or read A First Course in Linear Algebra book by clicking button below to visit the book download website. There are multiple format available for you to choose (Pdf, ePub, Doc).

Abstract Algebra

A First Course In Abstract Algebra With Applications [Pdf/ePub] eBook

Abstract Algebra by A. P. Hillman Book Summary:

Download or read Abstract Algebra book by clicking button below to visit the book download website. There are multiple format available for you to choose (Pdf, ePub, Doc).

A First Course in Differential Equations with Applications

A First Course In Abstract Algebra With Applications [Pdf/ePub] eBook

A First Course in Differential Equations with Applications by Dennis G. Zill Book Summary:

Download or read A First Course in Differential Equations with Applications book by clicking button below to visit the book download website. There are multiple format available for you to choose (Pdf, ePub, Doc).

Abstract Algebra

A First Course In Abstract Algebra With Applications [Pdf/ePub] eBook

Abstract Algebra by Claudia Menini,Freddy Van Oystaeyen Book Summary:

In one exceptional volume, Abstract Algebra covers subject matter typically taught over the course of two or three years and offers a self-contained presentation, detailed definitions, and excellent chapter-matched exercises to smooth the trajectory of learning algebra from zero to one. Field-tested through advance use in the ERASMUS educational project in Europe, this ambitious, comprehensive book includes an original treatment of representation of finite groups that avoids the use of semisimple ring theory and explains sets, maps, posets, lattices, and other essentials of the algebraic language; Peano's axioms and cardinality; groupoids, semigroups, monoids, groups; and normal subgroups.

A Course in Linear Algebra with Applications

A First Course In Abstract Algebra With Applications [Pdf/ePub] eBook

A Course in Linear Algebra with Applications by Derek J S Robinson Book Summary:

This is the second edition of the best-selling introduction to linear algebra. Presupposing no knowledge beyond calculus, it provides a thorough treatment of all the basic concepts, such as vector space, linear transformation and inner product. The concept of a quotient space is introduced and related to solutions of linear system of equations, and a simplified treatment of Jordan normal form is given. Numerous applications of linear algebra are described, including systems of linear recurrence relations, systems of linear differential equations, Markov processes, and the Method of Least Squares. An entirely new chapter on linear programing introduces the reader to the simplex algorithm with emphasis on understanding the theory behind it. The book is addressed to students who wish to learn linear algebra, as well as to professionals who need to use the methods of the subject in their own fields.

Algebra: Chapter 0

A First Course In Abstract Algebra With Applications [Pdf/ePub] eBook

Algebra: Chapter 0 by Paolo Aluffi Book Summary:

Algebra: Chapter 0 is a self-contained introduction to the main topics of algebra, suitable for a first sequence on the subject at the beginning graduate or upper undergraduate level. The primary distinguishing feature of the book, compared to standard textbooks in algebra, is the early introduction of categories, used as a unifying theme in the presentation of the main topics. A second feature consists of an emphasis on homological algebra: basic notions on complexes are presented as soon as modules have been introduced, and an extensive last chapter on homological algebra can form the basis for a follow-up introductory course on the subject. Approximately 1,000 exercises both provide adequate practice to consolidate the understanding of the main body of the text and offer the opportunity to explore many other topics, including applications to number theory and algebraic geometry. This will allow instructors to adapt the textbook to their specific choice of topics and provide the independent reader with a richer exposure to algebra. Many exercises include substantial hints, and navigation of the topics is facilitated by an extensive index and by hundreds of cross-references.

A First Course in Linear Algebra

A First Course In Abstract Algebra With Applications [Pdf/ePub] eBook

A First Course in Linear Algebra by Raymond A. Beauregard,John B. Fraleigh Book Summary:

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Abstract Algebra

A First Course In Abstract Algebra With Applications [Pdf/ePub] eBook

Abstract Algebra by Gary L. Mullen,James A. Sellers Book Summary:

Abstract Algebra: A Gentle Introduction advantages a trend in mathematics textbook publishing towards smaller, less expensive and brief introductions to primary courses. The authors move away from the ‘everything for everyone’ approach so common in textbooks. Instead, they provide the reader with coverage of numerous algebraic topics to cover the most important areas of abstract algebra. Through a careful selection of topics, supported by interesting applications, the authors Intend the book to be used for a one-semester course in abstract algebra. It is suitable for an introductory course in for mathematics majors. The text is also very suitable for education majors who need to have an introduction to the topic. As textbooks go through various editions and authors employ the suggestions of numerous well-intentioned reviewers, these book become larger and larger and subsequently more expensive. This book is meant to counter that process. Here students are given a "gentle introduction," meant to provide enough for a course, yet also enough to encourage them toward future study of the topic. Features Groups before rings approach Interesting modern applications Appendix includes mathematical induction, the well-ordering principle, sets, functions, permutations, matrices, and complex nubers. Numerous exercises at the end of each section Chapter "Hint and Partial Solutions" offers built in solutions manual