Concepts In Abstract Algebra PDF Download
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Author | : Charles Lanski |
Publisher | : American Mathematical Soc. |
Total Pages | : 564 |
Release | : |
Genre | : Mathematics |
ISBN | : 9780821874288 |
Download Concepts in Abstract Algebra Book in PDF, ePub and Kindle
The style and structure of CONCEPTS IN ABSTRACT ALGEBRA is designed to help students learn the core concepts and associated techniques in algebra deeply and well. Providing a fuller and richer account of material than time allows in a lecture, this text presents interesting examples of sufficient complexity so that students can see the concepts and results used in a nontrivial setting. Author Charles Lanski gives students the opportunity to practice by offering many exercises that require the use and synthesis of the techniques and results. Both readable and mathematically interesting, the text also helps students learn the art of constructing mathematical arguments. Overall, students discover how mathematics proceeds and how to use techniques that mathematicians actually employ. This book is included in the Brooks/Cole Series in Advanced Mathematics (Series Editor: Paul Sally, Jr.).
Author | : Gertrude Ehrlich |
Publisher | : Courier Corporation |
Total Pages | : 352 |
Release | : 2013-05-13 |
Genre | : Mathematics |
ISBN | : 0486291863 |
Download Fundamental Concepts of Abstract Algebra Book in PDF, ePub and Kindle
This undergraduate text presents extensive coverage of set theory, groups, rings, modules, vector spaces, and fields. It offers numerous examples, definitions, theorems, proofs, and practice exercises. 1991 edition.
Author | : Allan Clark |
Publisher | : Courier Corporation |
Total Pages | : 224 |
Release | : 2012-07-06 |
Genre | : Mathematics |
ISBN | : 0486140350 |
Download Elements of Abstract Algebra Book in PDF, ePub and Kindle
Lucid coverage of the major theories of abstract algebra, with helpful illustrations and exercises included throughout. Unabridged, corrected republication of the work originally published 1971. Bibliography. Index. Includes 24 tables and figures.
Author | : Charles C Pinter |
Publisher | : Courier Corporation |
Total Pages | : 402 |
Release | : 2010-01-14 |
Genre | : Mathematics |
ISBN | : 0486474178 |
Download A Book of Abstract Algebra Book in PDF, ePub and Kindle
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.
Author | : W. E. Deskins |
Publisher | : Courier Corporation |
Total Pages | : 656 |
Release | : 2012-05-24 |
Genre | : Mathematics |
ISBN | : 0486158462 |
Download Abstract Algebra Book in PDF, ePub and Kindle
Excellent textbook provides undergraduates with an accessible introduction to the basic concepts of abstract algebra and to the analysis of abstract algebraic systems. Features many examples and problems.
Author | : Ian Stewart |
Publisher | : Courier Corporation |
Total Pages | : 368 |
Release | : 2012-05-23 |
Genre | : Mathematics |
ISBN | : 0486134954 |
Download Concepts of Modern Mathematics Book in PDF, ePub and Kindle
In this charming volume, a noted English mathematician uses humor and anecdote to illuminate the concepts of groups, sets, subsets, topology, Boolean algebra, and other mathematical subjects. 200 illustrations.
Author | : Israel Kleiner |
Publisher | : Springer Science & Business Media |
Total Pages | : 175 |
Release | : 2007-10-02 |
Genre | : Mathematics |
ISBN | : 0817646841 |
Download A History of Abstract Algebra Book in PDF, ePub and Kindle
This book explores the history of abstract algebra. It shows how abstract algebra has arisen in attempting to solve some of these classical problems, providing a context from which the reader may gain a deeper appreciation of the mathematics involved.
Author | : Steven J. Rosenberg |
Publisher | : CRC Press |
Total Pages | : 397 |
Release | : 2021-12-22 |
Genre | : Mathematics |
ISBN | : 1000516334 |
Download An Invitation to Abstract Algebra Book in PDF, ePub and Kindle
Studying abstract algebra can be an adventure of awe-inspiring discovery. The subject need not be watered down nor should it be presented as if all students will become mathematics instructors. This is a beautiful, profound, and useful field which is part of the shared language of many areas both within and outside of mathematics. To begin this journey of discovery, some experience with mathematical reasoning is beneficial. This text takes a fairly rigorous approach to its subject, and expects the reader to understand and create proofs as well as examples throughout. The book follows a single arc, starting from humble beginnings with arithmetic and high-school algebra, gradually introducing abstract structures and concepts, and culminating with Niels Henrik Abel and Evariste Galois’ achievement in understanding how we can—and cannot—represent the roots of polynomials. The mathematically experienced reader may recognize a bias toward commutative algebra and fondness for number theory. The presentation includes the following features: Exercises are designed to support and extend the material in the chapter, as well as prepare for the succeeding chapters. The text can be used for a one, two, or three-term course. Each new topic is motivated with a question. A collection of projects appears in Chapter 23. Abstract algebra is indeed a deep subject; it can transform not only the way one thinks about mathematics, but the way that one thinks—period. This book is offered as a manual to a new way of thinking. The author’s aim is to instill the desire to understand the material, to encourage more discovery, and to develop an appreciation of the subject for its own sake.
Author | : Nicholas H. Wasserman |
Publisher | : Springer |
Total Pages | : 461 |
Release | : 2018-12-12 |
Genre | : Education |
ISBN | : 3319992147 |
Download Connecting Abstract Algebra to Secondary Mathematics, for Secondary Mathematics Teachers Book in PDF, ePub and Kindle
Secondary mathematics teachers are frequently required to take a large number of mathematics courses – including advanced mathematics courses such as abstract algebra – as part of their initial teacher preparation program and/or their continuing professional development. The content areas of advanced and secondary mathematics are closely connected. Yet, despite this connection many secondary teachers insist that such advanced mathematics is unrelated to their future professional work in the classroom. This edited volume elaborates on some of the connections between abstract algebra and secondary mathematics, including why and in what ways they may be important for secondary teachers. Notably, the volume disseminates research findings about how secondary teachers engage with, and make sense of, abstract algebra ideas, both in general and in relation to their own teaching, as well as offers itself as a place to share practical ideas and resources for secondary mathematics teacher preparation and professional development. Contributors to the book are scholars who have both experience in the mathematical preparation of secondary teachers, especially in relation to abstract algebra, as well as those who have engaged in related educational research. The volume addresses some of the persistent issues in secondary mathematics teacher education in connection to advanced mathematics courses, as well as situates and conceptualizes different ways in which abstract algebra might be influential for teachers of algebra. Connecting Abstract Algebra to Secondary Mathematics, for Secondary Mathematics Teachers is a productive resource for mathematics teacher educators who teach capstone courses or content-focused methods courses, as well as for abstract algebra instructors interested in making connections to secondary mathematics.
Author | : W. W. Sawyer |
Publisher | : Courier Dover Publications |
Total Pages | : 241 |
Release | : 2018-08-15 |
Genre | : Mathematics |
ISBN | : 0486824616 |
Download Concrete Approach to Abstract Algebra Book in PDF, ePub and Kindle
Brief, clear, and well written, this introductory treatment bridges the gap between traditional and modern algebra. Includes exercises with complete solutions. The only prerequisite is high school-level algebra. 1959 edition.