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Algebra

See below for a selection of the latest books from Algebra category. Presented with a red border are the Algebra books that have been lovingly read and reviewed by the experts at Lovereading. With expert reading recommendations made by people with a passion for books and some unique features Lovereading will help you find great Algebra books and those from many more genres to read that will keep you inspired and entertained. And it's all free!

Introduction to Modern Algebra and Its Applications

Introduction to Modern Algebra and Its Applications

Author: Nadiya (Silesian University of Technology, Poland) Gubareni Format: Hardback Release Date: 15/11/2020

The book provides an introduction to modern abstract algebra and its applications. It covers all major topics of classical theory of numbers, groups, rings, fields and finite dimensional algebras. The book also provides interesting and important modern applications in such subjects as Cryptography, Coding Theory, Computer Science and Physics. In particular, it considers algorithm RSA, secret sharing algorithms, Diffie-Hellman Scheme and ElGamal cryptosystem based on discrete logarithm problem. It also presents Buchberger's algorithm which is one of the important algorithms for constructing Groebner basis. Key Features: Covers all major topics of classical theory of modern abstract algebra such as groups, rings and fields and their applications. In addition it provides the introduction to the number theory, theory of finite fields, finite dimensional algebras and their applications. Provides interesting and important modern applications in such subjects as Cryptography, Coding Theory, Computer Science and Physics. Presents numerous examples illustrating the theory and applications. It is also filled with a number of exercises of various difficulty. Describes in detail the construction of the Cayley-Dickson construction for finite dimensional algebras, in particular, algebras of quaternions and octonions and gives their applications in the number theory and computer graphics.

Matrix Positivity

Matrix Positivity

Matrix positivity is a central topic in matrix theory: properties that generalize the notion of positivity to matrices arose from a large variety of applications, and many have also taken on notable theoretical significance, either because they are natural or unifying. This is the first book to provide a comprehensive and up-to-date reference of important material on matrix positivity classes, their properties, and their relations. The matrix classes emphasized in this book include the classes of semipositive matrices, P-matrices, inverse M-matrices, and copositive matrices. This self-contained reference will be useful to a large variety of mathematicians, engineers, and social scientists, as well as graduate students. The generalizations of positivity and the connections observed provide a unique perspective, along with theoretical insight into applications and future challenges. Direct applications can be found in data analysis, differential equations, mathematical programming, computational complexity, models of the economy, population biology, dynamical systems and control theory.

Elements of Modern Algebra

Elements of Modern Algebra

Author: Linda (University of South Carolina, Upstate) Gilbert Format: Paperback / softback Release Date: 31/10/2020

ELEMENTS OF MODERN ALGEBRA, Eighth Edition, with its user-friendly format, provides you with the tools you need to succeed in abstract algebra and develop mathematical maturity as a bridge to higher-level mathematics courses. Strategy boxes give you guidance and explanations about techniques and enable you to become more proficient at constructing proofs. A summary of key words and phrases at the end of each chapter help you master the material. A reference section, symbolic marginal notes, an appendix, and numerous examples help you develop your problem-solving skills.

Algebra for College Students

Algebra for College Students

Kaufmann and Schwitters have built this text's reputation on clear and concise exposition, numerous examples, and plentiful problem sets. This traditional text consistently reinforces the following common thread: learn a skill; practice the skill to help solve equations; and then apply what you have learned to solve application problems. This simple, straightforward approach has helped many students grasp and apply fundamental problem solving skills necessary for future mathematics courses. Algebraic ideas are developed in a logical sequence, and in an easy-to-read manner, without excessive vocabulary and formalism. The open and uncluttered design helps keep students focused on the concepts while minimizing distractions. Problems and examples reference a broad range of topics, as well as career areas such as electronics, mechanics, and health, showing students that mathematics is part of everyday life. The text's resource package-anchored by Enhanced WebAssign, an online homework management tool-saves instructors time while also providing additional help and skill-building practice for students outside of class.

Abstract Algebra

Abstract Algebra

Author: Thomas (St. Louis University) Hungerford, Thomas (Cleveland State University) Hungerford Format: Paperback / softback Release Date: 31/10/2020

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.

Rings with Polynomial Identities and Finite Dimensional Representations of Algebras

Rings with Polynomial Identities and Finite Dimensional Representations of Algebras

Author: Eli Aljadeff, Antonio Giambruno, Claudio Procesi, Amitai Regev Format: Paperback / softback Release Date: 30/10/2020

A polynomial identity for an algebra (or a ring) $A$ is a polynomial in noncommutative variables that vanishes under any evaluation in $A$. An algebra satisfying a nontrivial polynomial identity is called a PI algebra, and this is the main object of study in this book, which can be used by graduate students and researchers alike. The book is divided into four parts. Part 1 contains foundational material on representation theory and noncommutative algebra. In addition to setting the stage for the rest of the book, this part can be used for an introductory course in noncommutative algebra. An expert reader may use Part 1 as reference and start with the main topics in the remaining parts. Part 2 discusses the combinatorial aspects of the theory, the growth theorem, and Shirshov's bases. Here methods of representation theory of the symmetric group play a major role. Part 3 contains the main body of structure theorems for PI algebras, theorems of Kaplansky and Posner, the theory of central polynomials, M. Artin's theorem on Azumaya algebras, and the geometric part on the variety of semisimple representations, including the foundations of the theory of Cayley-Hamilton algebras. Part 4 is devoted first to the proof of the theorem of Razmyslov, Kemer, and Braun on the nilpotency of the nil radical for finitely generated PI algebras over Noetherian rings, then to the theory of Kemer and the Specht problem. Finally, the authors discuss PI exponent and codimension growth. This part uses some nontrivial analytic tools coming from probability theory. The appendix presents the counterexamples of Golod and Shafarevich to the Burnside problem.

Algebra For Parents: A Book For Grownups About Middle School Mathematics

Algebra For Parents: A Book For Grownups About Middle School Mathematics

Author: Ron (Technion, Israel Inst Of Tech, Israel) Aharoni Format: Hardback Release Date: 29/10/2020

The book goes through middle school mathematics and techniques and methods of its teaching. It is meant to aid parents who wish to be involved in the mathematical education of their children, as well as teachers who wish to learn principles of mathematics and of its teaching.

Algebra For Parents: A Book For Grownups About Middle School Mathematics

Algebra For Parents: A Book For Grownups About Middle School Mathematics

Author: Ron (Technion, Israel Inst Of Tech, Israel) Aharoni Format: Paperback / softback Release Date: 29/10/2020

The book goes through middle school mathematics and techniques and methods of its teaching. It is meant to aid parents who wish to be involved in the mathematical education of their children, as well as teachers who wish to learn principles of mathematics and of its teaching.

Algebraic Inequalities: In Mathematical Olympiad And Competitions

Algebraic Inequalities: In Mathematical Olympiad And Competitions

Author: Ji (Ningbo Univ, China) Chen, Chaocheng (Ningbo Middle Sch, China) Ji Format: Hardback Release Date: 28/10/2020

The focus of this book is algebraic inequalities. Not only is it the current Mathematical Olympiad hot topic, it is also the basis of geometric inequalities. In addition, the book involves some analysis on inequality.This book serves as a good reference in the field of algebraic inequalities as faced in problems found in a Mathematical Olympiad.

Algebraic Inequalities: In Mathematical Olympiad And Competitions

Algebraic Inequalities: In Mathematical Olympiad And Competitions

Author: Ji (Ningbo Univ, China) Chen, Chaocheng (Ningbo Middle Sch, China) Ji Format: Paperback / softback Release Date: 28/10/2020

The focus of this book is algebraic inequalities. Not only is it the current Mathematical Olympiad hot topic, it is also the basis of geometric inequalities. In addition, the book involves some analysis on inequality.This book serves as a good reference in the field of algebraic inequalities as faced in problems found in a Mathematical Olympiad.

Linear Algebra

Linear Algebra

Author: James R. (Sweet Briar College, Virginia, USA) Kirkwood, Bessie H. Kirkwood Format: Hardback Release Date: 12/10/2020

This is the second of a two-part set of books for the undergraduate linear algebra sequence. The text is for the more advanced course taught in most mathematics departments. This course is based around matrix theory and focused on the theory of linear algebra. In addition to the chapters found in the author's Elementary Linear Algebra, here he offers seven additional chapters including the Jordan Canonical Form and The Perron-Frobenius Theorem, The book emphasizes intutition as well as rigor. It offers a historical perspective.

Wiley-Schnellkurs Matlab und LaTeX fur Ingenieure und Naturwissenschaftler

Wiley-Schnellkurs Matlab und LaTeX fur Ingenieure und Naturwissenschaftler

Author: Michael Karow Format: Paperback / softback Release Date: 05/10/2020