An Introduction to Abstract Algebra PDF Download

Author: Olympia Nicodemi
Publisher: Pearson
ISBN: 9780131019638
Category : Algebra, Abstract
Languages : en
Pages : 0

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Book Description
This traditional treatment of abstract algebra is designed for the particular needs of the mathematics teacher. Readers must have access to a Computer Algebra System (C. A. S.) such as Maple, or at minimum a calculator such as the TI 89 with C. A. S. capabilities. Includes "To the Teacher" sections that Draw connections from the number theory or abstract algebra under consideration to secondary mathematics. Provides historical context with "From the Past" sections in each chapter. Features "Worksheets" that outline the framework of a topic in most chapters. A useful reference for mathematics teachers who need to brush up on their abstract algebra skills. An Introduction to Abstract Algebra with Notes to the Future Teacher, 1/E Olympia Nicodemi Melissa A Sutherland Gary W Towsley

Author: John B Fraleigh
Publisher: Pearson
ISBN: 9780136731627
Category :
Languages : en
Pages : 440

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Book Description
This print textbook is available for students to rent for their classes. The Pearson print rental program provides students with affordable access to learning materials, so they come to class ready to succeed. For courses in Abstract Algebra. A comprehensive approach to abstract algebra A First Course in Abstract Algebra, 8th Edition retains its hallmark goal of covering all the topics needed for an in-depth introduction to abstract algebra -- and is designed to be relevant to future graduate students, future high school teachers, and students who intend to work in industry. New co-author Neal Brand has revised this classic text carefully and thoughtfully, drawing on years of experience teaching the course with this text to produce a meaningful and worthwhile update. This in-depth introduction gives students a firm foundation for more specialized work in algebra by including extensive explanations of the what, the how, and the why behind each method the authors choose. This revision also includes applied topics such as RSA encryption and coding theory, as well as examples of applying Gröbner bases. 0136731627 / 9780136731627 A FIRST COURSE IN ABSTRACT ALGEBRA [RENTAL EDITION], 8/e

Author: Bharath Sethuraman
Publisher: Springer Science & Business Media
ISBN: 0387948481
Category : Mathematics
Languages : en
Pages : 210

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Book Description
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.

Author: Nicholas H. Wasserman
Publisher: Springer
ISBN: 3319992147
Category : Education
Languages : en
Pages : 461

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Book Description
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: Charles C Pinter
Publisher: Courier Corporation
ISBN: 0486474178
Category : Mathematics
Languages : en
Pages : 402

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Book Description
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: Ronald S. Irving
Publisher:
ISBN: 9781475780437
Category :
Languages : en
Pages : 304

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Book Description

Author: Bloomsbury Publishing
Publisher: Bloomsbury Publishing USA
ISBN: 0313379319
Category : Education
Languages : en
Pages : 598

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Book Description
This book defines over 3,000 terms from the field of education to assist those charged with teaching students to become global citizens in a rapidly changing, technological society. John W. Collins and Nancy Patricia O'Brien, coeditors of the first edition of The Greenwood Dictionary of Education published in 2003, have acknowledged and addressed these shifts. This revised second edition supplements the extensive content of the first through greater focus on subjects such as neurosciences in educational behavior, gaming strategies as a learning technique, social networking, and distance education. Terms have been revised, where necessary, to represent changes in educational practice and theory. The Dictionary's focus is on current and evolving terminology specific to the broad field of education, although terms from closely related fields used in the context of education are also included. Encompassing the history of education as well as its future trends, the updated second edition will aid in the understanding and use of terms as they apply to contemporary educational research, practice, and theory.

Author: Gary L. Mullen
Publisher: CRC Press
ISBN: 1482250071
Category : Mathematics
Languages : en
Pages : 204

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Book Description
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

Author: John Beam
Publisher:
ISBN:
Category :
Languages : en
Pages : 291

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Book Description
This book is part of a series of inquiry-based textbooks for math content courses to prepare future teachers for the mathematical work of teaching. This module focuses on Algebra, the domain where Numbers and Operations meets Patterns and Relationships meets Generalizations, and so it holds an important, bridging place in the middle grades curriculum. As mathematicians we want to convey the beauty of our subject. We view mathematics as the study of patterns and structures. We want to show our students how to reason like a mathematician - and we want them to show this to their students too. This way of reasoning is just as important as any content they will teach.Mathematics isn't a subject you can memorize; it is about ways of thinking and knowing. To do mathematics, you need to do examples, gather data, look for patterns, experiment, draw pictures, think, try again, make arguments, and think some more. The big ideas of mathematics are not always easy - but they are fundamentally important for students to understand and so they are fundamentally important for future teachers to understand. Each section of our books begins with a Class Activity. This problem-based inquiry is designed for small-group work in class. Some activities may take as little as 30 minutes to complete and discuss. Others may take two or more class periods. The Read and Study, Connections to the Curriculum, and Homework sections are presented within the context of the activity ideas. No solutions are provided to activities or homework problems - students will have to solve them and discuss them themselves.

Author: Ryota Matsuura
Publisher: American Mathematical Society
ISBN: 1470468816
Category : Mathematics
Languages : en
Pages : 404

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Book Description
A Friendly Introduction to Abstract Algebra offers a new approach to laying a foundation for abstract mathematics. Prior experience with proofs is not assumed, and the book takes time to build proof-writing skills in ways that will serve students through a lifetime of learning and creating mathematics. The author's pedagogical philosophy is that when students abstract from a wide range of examples, they are better equipped to conjecture, formalize, and prove new ideas in abstract algebra. Thus, students thoroughly explore all concepts through illuminating examples before formal definitions are introduced. The instruction in proof writing is similarly grounded in student exploration and experience. Throughout the book, the author carefully explains where the ideas in a given proof come from, along with hints and tips on how students can derive those proofs on their own. Readers of this text are not just consumers of mathematical knowledge. Rather, they are learning mathematics by creating mathematics. The author's gentle, helpful writing voice makes this text a particularly appealing choice for instructors and students alike. The book's website has companion materials that support the active-learning approaches in the book, including in-class modules designed to facilitate student exploration.