Menu Close

Abstract Algebra An Introduction

These are the books for those you who looking for to read the Abstract Algebra An Introduction, try to read or download Pdf/ePub books and some of authors may have disable the live reading. Check the book if it available for your country and user who already subscribe will have full access all free books from the library source.

Abstract Algebra: An Introduction

Abstract Algebra An Introduction [Pdf/ePub] eBook

Abstract Algebra: An Introduction by Thomas W. Hungerford Book Summary:

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.

Abstract Algebra

Abstract Algebra An Introduction [Pdf/ePub] eBook

Abstract Algebra by Thomas W. Hungerford 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).

Abstract Algebra: An Introduction

Abstract Algebra An Introduction [Pdf/ePub] eBook

Abstract Algebra: An Introduction by Thomas W. Hungerford Book Summary:

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.

Abstract Algebra

Abstract Algebra An Introduction [Pdf/ePub] eBook

Abstract Algebra by Clive Reis Book Summary:

Suitable for second to fourth year undergraduates, this title contains several applications: Polya-Burnside Enumeration, Mutually Orthogonal Latin Squares, Error-Correcting Codes and a classification of the finite groups of isometries of the plane and the finite rotation groups in Euclidean 3-space.

Linear Algebra

Abstract Algebra An Introduction [Pdf/ePub] eBook

Linear Algebra by Robert J. Valenza Book Summary:

Based on lectures given at Claremont McKenna College, this text constitutes a substantial, abstract introduction to linear algebra. The presentation emphasizes the structural elements over the computational - for example by connecting matrices to linear transformations from the outset - and prepares the student for further study of abstract mathematics. Uniquely among algebra texts at this level, it introduces group theory early in the discussion, as an example of the rigorous development of informal axiomatic systems.

An Introduction to Abstract Algebra

Abstract Algebra An Introduction [Pdf/ePub] eBook

An Introduction to Abstract Algebra by Derek J.S. Robinson Book Summary:

This is a high level introduction to abstract algebra which is aimed at readers whose interests lie in mathematics and in the information and physical sciences. In addition to introducing the main concepts of modern algebra, the book contains numerous applications, which are intended to illustrate the concepts and to convince the reader of the utility and relevance of algebra today. In particular applications to Polya coloring theory, latin squares, Steiner systems and error correcting codes are described. Another feature of the book is that group theory and ring theory are carried further than is often done at this level. There is ample material here for a two semester course in abstract algebra. The importance of proof is stressed and rigorous proofs of almost all results are given. But care has been taken to lead the reader through the proofs by gentle stages. There are nearly 400 problems, of varying degrees of difficulty, to test the reader's skill and progress. The book should be suitable for students in the third or fourth year of study at a North American university or in the second or third year at a university in Europe.

Introduction to Abstract Algebra, Third Edition

Abstract Algebra An Introduction [Pdf/ePub] eBook

Introduction to Abstract Algebra, Third Edition by T.A. Whitelaw Book Summary:

The first and second editions of this successful textbook have been highly praised for their lucid and detailed coverage of abstract algebra. In this third edition, the author has carefully revised and extended his treatment, particularly the material on rings and fields, to provide an even more satisfying first course in abstract algebra.

Modern Algebra: An Introduction, 5Th Ed

Abstract Algebra An Introduction [Pdf/ePub] eBook

Modern Algebra: An Introduction, 5Th Ed by John R. Durbin Book Summary:

This book presents an introduction to modern (abstract) algebra covering the basic ideas of groups, rings, and fields. The first part of the book treats ideas that are important but neither abstract nor complicated, and provides practice in handling mathematical statements - their meaning, quantification, negation, and proof. This edition features a new section to give more substance to the introduction to Galois theory, updated lists of references and discussions of topics such as Fermat's Last Theorem and the finite simple groups.· Mappings and Operations· Introduction to Groups· Equivalence, Congruence, Divisibility· Groups· Group Homomorphisms· Introduction to Rings· The Familiar Number Systems· Polynomials· Quotient Rings· Field Extensions· Galois Theory· Geometric Constructions· Applications of Permutation Groups· Symmetry· Cryptography and Algebraic Coding· Lattices and Boolean Algebras

An Introduction to Abstract Algebra with Notes to the Future Teacher

Abstract Algebra An Introduction [Pdf/ePub] eBook

An Introduction to Abstract Algebra with Notes to the Future Teacher by Olympia E Nicodemi,Melissa a Sutherland,Gary W Towsley Book Summary:

For courses in Abstract Algebra.Designed for future mathematics teachers as well as mathematics students who are not planning careers in secondary education, this text offers a traditional course in abstract algebra along with optional notes that connect its mathematical content toschool mathematics.Elementarynumber theory and rings ofpolynomials are treated before group theory. Prerequisites include some experience with proof. (A brief appendix reviews certain basics of logic, proof, set theory, and functions.) Students should also have access to a Computer Algebra System (CAS), or a calculator with CAS capabilities. CourseSmart textbooks do not include any media or print supplements that come packaged with the bound book."

Linear Algebra: An Introduction

Abstract Algebra An Introduction [Pdf/ePub] eBook

Linear Algebra: An Introduction by Richard Bronson,Gabriel B. Costa Book Summary:

In this appealing and well-written text, Richard Bronson gives readers a substructure for a firm understanding of the abstract concepts of linear algebra and its applications. The author starts with the concrete and computational, and leads the reader to a choice of major applications (Markov chains, least-squares approximation, and solution of differential equations using Jordan normal form). The first three chapters address the basics: matrices, vector spaces, and linear transformations. The next three cover eigenvalues, Euclidean inner products, and Jordan canonical forms, offering possibilities that can be tailored to the instructor's taste and to the length of the course. Bronson's approach to computation is modern and algorithmic, and his theory is clean and straightforward. Throughout, the views of the theory presented are broad and balanced. Key material is highlighted in the text and summarized at the end of each chapter. The book also includes ample exercises with answers and hints. With its inclusion of all the needed features, this text will be a pleasure for professionals, teachers, and students. - Introduces deductive reasoning and helps the reader develop a facility with mathematical proofs - Gives computational algorithms for finding eigenvalues and eigenvectors - Provides a balanced approach to computation and theory - Superb motivation and writing - Excellent exercise sets, ranging from drill to theoretical/challeging - Useful and interesting applications not found in other introductory linear algebra texts

Rings, Fields and Groups

Abstract Algebra An Introduction [Pdf/ePub] eBook

Rings, Fields and Groups by R. B. J. T. Allenby Book Summary:

Provides an introduction to the results, methods and ideas which are now commonly studied in abstract algebra courses

Algebra

Abstract Algebra An Introduction [Pdf/ePub] eBook

Algebra by Thomas W. Hungerford Book Summary:

Finally a self-contained, one volume, graduate-level algebra text that is readable by the average graduate student and flexible enough to accommodate a wide variety of instructors and course contents. The guiding principle throughout is that the material should be presented as general as possible, consistent with good pedagogy. Therefore it stresses clarity rather than brevity and contains an extraordinarily large number of illustrative exercises.

An Introduction to Abstract Algebra

Abstract Algebra An Introduction [Pdf/ePub] eBook

An Introduction to Abstract Algebra by F. M. Hall Book Summary:

This two-volume course on abstract algebra provides a broad introduction to the subject for those with no previous knowledge of it but who are well grounded in ordinary algebraic techniques. It starts from the beginning, leading up to fresh ideas gradually and in a fairly elementary manner, and moving from discussion of particular (concrete) cases to abstract ideas and methods. It thus avoids the common practice of presenting the reader with a mass of ideas at the beginning, which he is only later able to relate to his previous mathematical experience. The work contains many concrete examples of algebraic structures. Each chapter contains a few worked examples for the student - these are divided into straightforward and more advanced categories. Answers are provided. From general sets, Volume 1 leads on to discuss special sets of the integers, other number sets, residues, polynomials and vectors. A chapter on mappings is followed by a detailed study of the fundamental laws of algebra, and an account of the theory of groups which takes the idea of subgroups as far as Langrange's theorem. Some improvements in exposition found desirable by users of the book have been incorporated into the second edition and the opportunity has also been taken to correct a number of errors.

An Introduction to Abstract Algebra

Abstract Algebra An Introduction [Pdf/ePub] eBook

An Introduction to Abstract Algebra by Derek John Scott Robinson Book Summary:

Annotation This undergraduate textbook for a two-semester course in abstract algebra gently introduces the principle structures of modern algebra. Robinson (University of Illinois) defines the concepts behind sets, groups, subgroups, groups acting on sets, rings, vector spaces, field theory, and Galois theory. Annotation (c)2003 Book News, Inc., Portland, OR (booknews.com).

Introduction to Abstract Algebra

Abstract Algebra An Introduction [Pdf/ePub] eBook

Introduction to Abstract Algebra by W. Keith Nicholson Book Summary:

Praise for the Third Edition ". . . an expository masterpiece of the highest didactic value that has gained additional attractivity through the various improvements . . ."—Zentralblatt MATH The Fourth Edition of Introduction to Abstract Algebra continues to provide an accessible approach to the basic structures of abstract algebra: groups, rings, and fields. The book's unique presentation helps readers advance to abstract theory by presenting concrete examples of induction, number theory, integers modulo n, and permutations before the abstract structures are defined. Readers can immediately begin to perform computations using abstract concepts that are developed in greater detail later in the text. The Fourth Edition features important concepts as well as specialized topics, including: The treatment of nilpotent groups, including the Frattini and Fitting subgroups Symmetric polynomials The proof of the fundamental theorem of algebra using symmetric polynomials The proof of Wedderburn's theorem on finite division rings The proof of the Wedderburn-Artin theorem Throughout the book, worked examples and real-world problems illustrate concepts and their applications, facilitating a complete understanding for readers regardless of their background in mathematics. A wealth of computational and theoretical exercises, ranging from basic to complex, allows readers to test their comprehension of the material. In addition, detailed historical notes and biographies of mathematicians provide context for and illuminate the discussion of key topics. A solutions manual is also available for readers who would like access to partial solutions to the book's exercises. Introduction to Abstract Algebra, Fourth Edition is an excellent book for courses on the topic at the upper-undergraduate and beginning-graduate levels. The book also serves as a valuable reference and self-study tool for practitioners in the fields of engineering, computer science, and applied mathematics.

Linear Algebra as an Introduction to Abstract Mathematics

Abstract Algebra An Introduction [Pdf/ePub] eBook

Linear Algebra as an Introduction to Abstract Mathematics by Isaiah Lankham,Bruno Nachtergaele,Anne Schilling Book Summary:

This is an introductory textbook designed for undergraduate mathematics majors with an emphasis on abstraction and in particular, the concept of proofs in the setting of linear algebra. Typically such a student would have taken calculus, though the only prerequisite is suitable mathematical grounding. The purpose of this book is to bridge the gap between the more conceptual and computational oriented undergraduate classes to the more abstract oriented classes. The book begins with systems of linear equations and complex numbers, then relates these to the abstract notion of linear maps on finite-dimensional vector spaces, and covers diagonalization, eigenspaces, determinants, and the Spectral Theorem. Each chapter concludes with both proof-writing and computational exercises.

Abstract Algebra

Abstract Algebra An Introduction [Pdf/ePub] eBook

Abstract Algebra by Derek J.S. Robinson Book Summary:

This is a high level introduction to abstract algebra which is aimed at readers whose interests lie in mathematics and in the information and physical sciences. In addition to introducing the main concepts of modern algebra, the book contains numerous applications, which are intended to illustrate the concepts and to convince the reader of the utility and relevance of algebra today. In particular applications to Polya coloring theory, latin squares, Steiner systems and error correcting codes are described. Another feature of the book is that group theory and ring theory are carried further than is often done at this level. There is ample material here for a two semester course in abstract algebra. The importance of proof is stressed and rigorous proofs of almost all results are given. But care has been taken to lead the reader through the proofs by gentle stages. There are nearly 400 problems, of varying degrees of difficulty, to test the reader's skill and progress. The book should be suitable for students in the third or fourth year of study at a North American university or in the second or third year at a university in Europe, and should ease the transition to (post)graduate studies.

An Introduction to Linear Algebra

Abstract Algebra An Introduction [Pdf/ePub] eBook

An Introduction to Linear Algebra by Ravi P. Agarwal,Elena Cristina Flaut Book Summary:

The techniques of linear algebra are used extensively across the applied sciences, and in many different areas of algebra such as group theory, module theory, representation theory, ring theory, and Galois theory. Written by experienced researchers with a decades of teaching experience, Introduction to Linear Algebra is a clear and rigorous introductory text on this key topic for students of both applied sciences and pure mathematics.

Abstract Algebra

Abstract Algebra An Introduction [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

Introduction to Abstract Algebra

Abstract Algebra An Introduction [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.

An Introduction to Linear Algebra

Abstract Algebra An Introduction [Pdf/ePub] eBook

An Introduction to Linear Algebra by L. Mirsky Book Summary:

Rigorous, self-contained coverage of determinants, vectors, matrices and linear equations, quadratic forms, more. Elementary, easily readable account with numerous examples and problems at the end of each chapter.

Abstract Algebra

Abstract Algebra An Introduction [Pdf/ePub] eBook

Abstract Algebra by Gregory T. Lee Book Summary:

This carefully written textbook offers a thorough introduction to abstract algebra, covering the fundamentals of groups, rings and fields. The first two chapters present preliminary topics such as properties of the integers and equivalence relations. The author then explores the first major algebraic structure, the group, progressing as far as the Sylow theorems and the classification of finite abelian groups. An introduction to ring theory follows, leading to a discussion of fields and polynomials that includes sections on splitting fields and the construction of finite fields. The final part contains applications to public key cryptography as well as classical straightedge and compass constructions. Explaining key topics at a gentle pace, this book is aimed at undergraduate students. It assumes no prior knowledge of the subject and contains over 500 exercises, half of which have detailed solutions provided.

Rings, Fields, and Vector Spaces

Abstract Algebra An Introduction [Pdf/ePub] eBook

Rings, Fields, and Vector Spaces by B.A. Sethuraman Book Summary:

Using the proof of the non-trisectability of an arbitrary angle as a final goal, the author develops in an easy conversational style the basics of rings, fields, and vector spaces. Originally developed as a text for an introduction to algebra course for future high-school teachers at California State University, Northridge, the focus of this book is on exposition. It would serve extremely well as a focused, one-semester introduction to abstract algebra.

An Introduction to Algebraic Structures

Abstract Algebra An Introduction [Pdf/ePub] eBook

An Introduction to Algebraic Structures by Joseph Landin Book Summary:

As the author notes in the preface, "The purpose of this book is to acquaint a broad spectrum of students with what is today known as 'abstract algebra.'" Written for a one-semester course, this self-contained text includes numerous examples designed to base the definitions and theorems on experience, to illustrate the theory with concrete examples in familiar contexts, and to give the student extensive computational practice.The first three chapters progress in a relatively leisurely fashion and include abundant detail to make them as comprehensible as possible. Chapter One provides a short course in sets and numbers for students lacking those prerequisites, rendering the book largely self-contained. While Chapters Four and Five are more challenging, they are well within the reach of the serious student.The exercises have been carefully chosen for maximum usefulness. Some are formal and manipulative, illustrating the theory and helping to develop computational skills. Others constitute an integral part of the theory, by asking the student to supply proofs or parts of proofs omitted from the text. Still others stretch mathematical imaginations by calling for both conjectures and proofs.Taken together, text and exercises comprise an excellent introduction to the power and elegance of abstract algebra. Now available in this inexpensive edition, the book is accessible to a wide range of students, who will find it an exceptionally valuable resource. Unabridged, corrected Dover (1989) republication of the edition published by Allyn and Bacon, Boston, 1969.

Introduction to Abstract Algebra

Abstract Algebra An Introduction [Pdf/ePub] eBook

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

Taking a slightly different approach from similar texts, Introduction to Abstract Algebra presents abstract algebra as the main tool underlying discrete mathematics and the digital world. It helps students fully understand groups, rings, semigroups, and monoids by rigorously building concepts from first principles. A Quick Introduction to Algebra 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. The author also uses equivalence relations to introduce rational numbers and modular arithmetic as well as to present the first isomorphism theorem at the set level. The Basics of Abstract Algebra for a First-Semester Course Subsequent chapters cover orthogonal groups, stochastic matrices, Lagrange’s theorem, and groups of units of monoids. The text also deals with homomorphisms, which lead to Cayley’s theorem of reducing abstract groups to concrete groups of permutations. It then explores rings, integral domains, and fields. Advanced Topics for a Second-Semester Course The final, mostly self-contained chapters delve deeper into the theory of rings, fields, and groups. They discuss modules (such as vector spaces and abelian groups), group theory, and quasigroups.

An Introduction to Abstract Algebra

Abstract Algebra An Introduction [Pdf/ePub] eBook

An Introduction to Abstract Algebra by Dennis Burley Ames Book Summary:

Download or read An Introduction to 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).

Abstract Algebra

Abstract Algebra An Introduction [Pdf/ePub] eBook

Abstract Algebra by Jonathan K. Hodge,Steven Schlicker,Ted Sundstrom Book Summary:

To learn and understand mathematics, students must engage in the process of doing mathematics. Emphasizing active learning, Abstract Algebra: An Inquiry-Based Approach not only teaches abstract algebra but also provides a deeper understanding of what mathematics is, how it is done, and how mathematicians think. The book can be used in both rings-first and groups-first abstract algebra courses. Numerous activities, examples, and exercises illustrate the definitions, theorems, and concepts. Through this engaging learning process, students discover new ideas and develop the necessary communication skills and rigor to understand and apply concepts from abstract algebra. In addition to the activities and exercises, each chapter includes a short discussion of the connections among topics in ring theory and group theory. These discussions help students see the relationships between the two main types of algebraic objects studied throughout the text. Encouraging students to do mathematics and be more than passive learners, this text shows students that the way mathematics is developed is often different than how it is presented; that definitions, theorems, and proofs do not simply appear fully formed in the minds of mathematicians; that mathematical ideas are highly interconnected; and that even in a field like abstract algebra, there is a considerable amount of intuition to be found.

An Introduction to Abstract Algebra

Abstract Algebra An Introduction [Pdf/ePub] eBook

An Introduction to Abstract Algebra by G. Viglino Book Summary:

This text is specifically designed to be used in a one-semester undergraduate abstract algebra course. It consists of three parts: Part 1 (25% of text).Lays a foundation for the algebraic construction that follows. Part 2 (50% of text).Focuses exclusively on the primary abstract algebra object: the Group. Part 3 (25% of text): Introduces additional algebra objects, including Rings and Fields.

Modern Algebra

Abstract Algebra An Introduction [Pdf/ePub] eBook

Modern Algebra by John R. Durbin Book Summary:

Engineers and computer scientists who need a basic understanding of algebra will benefit from this accessible book. The sixth edition includes many carefully worked examples and proofs to guide them through abstract algebra successfully. It introduces the most important kinds of algebraic structures, and helps them improve their ability to understand and work with abstract ideas. New and revised exercise sets are integrated throughout the first four chapters. A more in-depth discussion is also included on Galois Theory. The first six chapters provide engineers and computer scientists with the core of the subject and then the book explores the concepts in more detail.

Linear Algebra: Volume 2

Abstract Algebra An Introduction [Pdf/ePub] eBook

Linear Algebra: Volume 2 by A. G. Hamilton Book Summary:

Emphasis is placed on applications in preference to more theoretical aspects throughout this readable introduction to linear algebra for specialists as well as non-specialists. An expanded version of A First Course in Linear Algebra.

A Book of Abstract Algebra

Abstract Algebra An Introduction [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.

An Introduction to Abstract Algebra

Abstract Algebra An Introduction [Pdf/ePub] eBook

An Introduction to Abstract Algebra by Cyrus Colton MacDuffee Book Summary:

Download or read An Introduction to 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).

Numerical Linear Algebra

Abstract Algebra An Introduction [Pdf/ePub] eBook

Numerical Linear Algebra by Holger Wendland Book Summary:

This self-contained introduction to numerical linear algebra provides a comprehensive, yet concise, overview of the subject. It includes standard material such as direct methods for solving linear systems and least-squares problems, error, stability and conditioning, basic iterative methods and the calculation of eigenvalues. Later chapters cover more advanced material, such as Krylov subspace methods, multigrid methods, domain decomposition methods, multipole expansions, hierarchical matrices and compressed sensing. The book provides rigorous mathematical proofs throughout, and gives algorithms in general-purpose language-independent form. Requiring only a solid knowledge in linear algebra and basic analysis, this book will be useful for applied mathematicians, engineers, computer scientists, and all those interested in efficiently solving linear problems.

Abstract Algebra

Abstract Algebra An Introduction [Pdf/ePub] eBook

Abstract Algebra by I. N. Herstein 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).

An Introduction to Abstract Algebra

Abstract Algebra An Introduction [Pdf/ePub] eBook

An Introduction to Abstract Algebra by Cyrus Colton MacDuffee Book Summary:

Download or read An Introduction to 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).

Abstract Algebra

Abstract Algebra An Introduction [Pdf/ePub] eBook

Abstract Algebra by William Paulsen Book Summary:

The new edition of Abstract Algebra: An Interactive Approach presents a hands-on and traditional approach to learning groups, rings, and fields. It then goes further to offer optional technology use to create opportunities for interactive learning and computer use. This new edition offers a more traditional approach offering additional topics to the primary syllabus placed after primary topics are covered. This creates a more natural flow to the order of the subjects presented. This edition is transformed by historical notes and better explanations of why topics are covered. This innovative textbook shows how students can better grasp difficult algebraic concepts through the use of computer programs. It encourages students to experiment with various applications of abstract algebra, thereby obtaining a real-world perspective of this area. Each chapter includes, corresponding Sage notebooks, traditional exercises, and several interactive computer problems that utilize Sage and Mathematica® to explore groups, rings, fields and additional topics. This text does not sacrifice mathematical rigor. It covers classical proofs, such as Abel’s theorem, as well as many topics not found in most standard introductory texts. The author explores semi-direct products, polycyclic groups, Rubik’s Cube®-like puzzles, and Wedderburn’s theorem. The author also incorporates problem sequences that allow students to delve into interesting topics, including Fermat’s two square theorem.