Home eBooks Download › introduction to abstract and linear algebra

Introduction To Abstract And Linear Algebra

Download Introduction To Abstract And Linear Algebra PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Introduction To Abstract And Linear Algebra book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page

Introduction To Abstract And Linear Algebra

DOWNLOAD
Author : Zhexian Wan
language : en
Publisher:
Release Date : 1992

Introduction To Abstract And Linear Algebra written by Zhexian Wan and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Algebra, Abstract categories.

It is known that linear algebra is a useful tool in engineering but, since the middle of this century, abstract linear algebra has also found more and more applications. For instance, finite fields play a prominent role in coding theory and ring theory is the foundation of linear systems over rings. Both linear and abstract algebra should now be in the curriculum of undergraduate engineering students. This introductory book on algebra aims to provide the basic material for such a course. It also constitutes a solid algebraic basis for the non-specialists who wish to become specialists in, for example, coding theory, cryptography and linear systems theory.

Introduction To Abstract And Linear Algebra

DOWNLOAD
Author : Zhe-xian Wan
language : en
Publisher:
Release Date : 1992

Introduction To Abstract And Linear Algebra written by Zhe-xian Wan and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Algebra, Abstract categories.

Linear Algebra As An Introduction To Abstract Mathematics

DOWNLOAD
Author : Bruno Nachtergaele
language : en
Publisher: World Scientific Publishing Company
Release Date : 2015-11-30

Linear Algebra As An Introduction To Abstract Mathematics written by Bruno Nachtergaele and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-11-30 with Mathematics categories.

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.

Linear Algebra

DOWNLOAD
Author : Robert J. Valenza
language : en
Publisher: Springer
Release Date : 1999-02-01

Linear Algebra written by Robert J. Valenza and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-02-01 with Mathematics categories.

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.

Linear Algebra

DOWNLOAD
Author : Robert J. Valenza
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Linear Algebra written by Robert J. Valenza and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.

Introduction To Abstract Algebra

DOWNLOAD
Author : Benjamin Fine
language : en
Publisher: JHU Press
Release Date : 2014-07

Introduction To Abstract Algebra written by Benjamin Fine and has been published by JHU Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07 with Mathematics categories.

Presents a systematic approach to one of math's most intimidating concepts. Avoiding the pitfalls common in the standard textbooks, this title begins with familiar topics such as rings, numbers, and groups before introducing more difficult concepts.

Abstract And Linear Algebra

DOWNLOAD
Author : David M. Burton
language : en
Publisher:
Release Date : 1972

Abstract And Linear Algebra written by David M. Burton and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972 with Mathematics categories.

Introduction To Abstract Algebra

DOWNLOAD
Author : W. Keith Nicholson
language : en
Publisher: John Wiley & Sons
Release Date : 2012-02-23

Introduction To Abstract Algebra written by W. Keith Nicholson and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-02-23 with Mathematics categories.

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.

Thinking Algebraically An Introduction To Abstract Algebra

DOWNLOAD
Author : Thomas Q. Sibley
language : en
Publisher: American Mathematical Soc.
Release Date : 2021-06-08

Thinking Algebraically An Introduction To Abstract Algebra written by Thomas Q. Sibley and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-06-08 with Education categories.

Thinking Algebraically presents the insights of abstract algebra in a welcoming and accessible way. It succeeds in combining the advantages of rings-first and groups-first approaches while avoiding the disadvantages. After an historical overview, the first chapter studies familiar examples and elementary properties of groups and rings simultaneously to motivate the modern understanding of algebra. The text builds intuition for abstract algebra starting from high school algebra. In addition to the standard number systems, polynomials, vectors, and matrices, the first chapter introduces modular arithmetic and dihedral groups. The second chapter builds on these basic examples and properties, enabling students to learn structural ideas common to rings and groups: isomorphism, homomorphism, and direct product. The third chapter investigates introductory group theory. Later chapters delve more deeply into groups, rings, and fields, including Galois theory, and they also introduce other topics, such as lattices. The exposition is clear and conversational throughout. The book has numerous exercises in each section as well as supplemental exercises and projects for each chapter. Many examples and well over 100 figures provide support for learning. Short biographies introduce the mathematicians who proved many of the results. The book presents a pathway to algebraic thinking in a semester- or year-long algebra course.

Introduction To Abstract Algebra

DOWNLOAD
Author : Dr. Kuldeep Singh
language : en
Publisher: Navi International Book Publication house
Release Date : 2024-10-19

Introduction To Abstract Algebra written by Dr. Kuldeep Singh and has been published by Navi International Book Publication house this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-10-19 with Mathematics categories.

Mathematicians who specialize in abstract algebra study algebraic structures like fields, rings, and groups. Abstract algebra investigates the fundamental ideas and patterns that underpin these procedures, as contrast to elementary algebra, which works with particular equations and operations on numbers. It is a fundamental topic with applications in computer science, cryptography, and physics. It also offers the theoretical basis for many other areas of mathematics. The idea of a group, which is a set with a single operation that meets axioms such as closure, associativity, the presence of an identity element, and the existence of inverses, is one of the fundamental ideas in abstract algebra. A common subject in the study of symmetry and transformations is groups. By adding new operations, including addition and multiplication, and examining their interactions, rings and fields expand on fundamental concepts. By studying abstract algebra, mathematicians may identify patterns and correlations that remain across many systems by moving from concrete numbers to more generalized things. This abstraction makes it possible to comprehend mathematical structures more deeply and inspires the creation of new ideas and instruments. As a field of study, abstract algebra serves as a doorway to more complicated mathematical analysis and as a potent language for characterizing intricate systems across a range of scientific fields. The importance of abstract algebra is not limited to mathematics alone; it also affects other practical disciplines. For example, in computer science, knowledge of abstract algebraic structures is essential to comprehending data structures, algorithms, and cryptographic systems. Group theory and field theory ideas play a major role in cryptography, which protects digital communications, in the creation and cracking of encryption systems. Similar to this, group theory's description of symmetry operations in physics aids in the explanation of key ideas in relativity and quantum mechanics. This field's intrinsic abstraction encourages other ways of thinking. It promotes the development of rigorous yet creative problem-solving abilities since it often calls for identifying patterns and generalizations that are not immediately apparent. This ability to think abstractly is useful not just in mathematics but also in other fields like economics, engineering, and biology that study complex systems. Because of its degree of abstraction and divergence from the arithmetic and algebraic intuition acquired in previous mathematics courses, abstract algebra may be difficult to understand in educational settings

Introduction To Abstract And Linear Algebra

Recent Posts