Lsc A Book Of Abstract Algebra PDF Download
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| Author | : Charles Pinter |
| Publisher | : McGraw-Hill Science/Engineering/Math |
| Total Pages | : |
| Release | : 2003-05-06 |
| Genre | : Mathematics |
| ISBN | : 9780072943504 |
Download LSC A Book of Abstract Algebra Book in PDF, ePub and Kindle
Long-considered one of the best-written titles on the subject, this text is aimed at the abstract or modern algebra course taken by junior and senior math majors and many secondary math education majors. A mid-level approach, this text features clear prose, an intuitive and well-motivated approach, and exercises organized around specific concepts.
| 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 | : Joshua Yarmish |
| Publisher | : Learning Solutions |
| Total Pages | : 352 |
| Release | : 2010-02-23 |
| Genre | : Mathematics |
| ISBN | : 9780078042058 |
Download LSC PreAlgebra Skills Workbook: Mastering the Compass Exam (CPSW) Book in PDF, ePub and Kindle
| Author | : T.A. Whitelaw |
| Publisher | : Routledge |
| Total Pages | : 256 |
| Release | : 2020-04-14 |
| Genre | : Mathematics |
| ISBN | : 1351437305 |
Download Introduction to Abstract Algebra, Third Edition Book in PDF, ePub and Kindle
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.
| Author | : S. R. Nagpaul |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 338 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : 9780821874295 |
Download Topics in Applied Abstract Algebra Book in PDF, ePub and Kindle
This book presents interesting applications of abstract algebra to practical real-world problems. Especially for those whose interest in algebra is not confined to abstract theory, the text makes the study of abstract algebra more exciting and meaningful. The book is appropriate as either a text for an applied abstract algebra course or as a supplemental text for a standard course in abstract algebra. While fully developed, the algebraic theory presented is just what is required for the applications discussed in the book. This book is included in the Brooks/Cole Series in Advanced Mathematics (Series Editor: Paul Sally, Jr.).
| Author | : Steven J. Rosenberg |
| Publisher | : |
| Total Pages | : |
| Release | : 2022 |
| Genre | : |
| ISBN | : 9781032171784 |
Download An Invitation to Abstract Algebra Book in PDF, ePub and Kindle
| Author | : Stephen Lovett |
| Publisher | : CRC Press |
| Total Pages | : 570 |
| Release | : 2022-07-05 |
| Genre | : Mathematics |
| ISBN | : 1000605442 |
Download Abstract Algebra Book in PDF, ePub and Kindle
When a student of mathematics studies abstract algebra, he or she inevitably faces questions in the vein of, "What is abstract algebra" or "What makes it abstract?" Algebra, in its broadest sense, describes a way of thinking about classes of sets equipped with binary operations. In high school algebra, a student explores properties of operations (+, −, ×, and ÷) on real numbers. Abstract algebra studies properties of operations without specifying what types of number or object we work with. Any theorem established in the abstract context holds not only for real numbers but for every possible algebraic structure that has operations with the stated properties. This textbook intends to serve as a first course in abstract algebra. The selection of topics serves both of the common trends in such a course: a balanced introduction to groups, rings, and fields; or a course that primarily emphasizes group theory. The writing style is student-centered, conscientiously motivating definitions and offering many illustrative examples. Various sections or sometimes just examples or exercises introduce applications to geometry, number theory, cryptography and many other areas. This book offers a unique feature in the lists of projects at the end of each section. the author does not view projects as just something extra or cute, but rather an opportunity for a student to work on and demonstrate their potential for open-ended investigation. The projects ideas come in two flavors: investigative or expository. The investigative projects briefly present a topic and posed open-ended questions that invite the student to explore the topic, asking and to trying to answer their own questions. Expository projects invite the student to explore a topic with algebraic content or pertain to a particular mathematician’s work through responsible research. The exercises challenge the student to prove new results using the theorems presented in the text. The student then becomes an active participant in the development of the field.
| 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 | : Mark J. DeBonis |
| Publisher | : CRC Press |
| Total Pages | : 351 |
| Release | : 2024-04-11 |
| Genre | : Mathematics |
| ISBN | : 1040009336 |
Download Fundamentals of Abstract Algebra Book in PDF, ePub and Kindle
Fundamentals of Abstract Algebra is a primary textbook for a one year first course in Abstract Algebra, but it has much more to offer besides this. The book is full of opportunities for further, deeper reading, including explorations of interesting applications and more advanced topics, such as Galois theory. Replete with exercises and examples, the book is geared towards careful pedagogy and accessibility, and requires only minimal prerequisites. The book includes a primer on some basic mathematical concepts that will be useful for readers to understand, and in this sense the book is self-contained. Features Self-contained treatments of all topics Everything required for a one-year first course in Abstract Algebra, and could also be used as supplementary reading for a second course Copious exercises and examples Mark DeBonis received his PhD in Mathematics from the University of California, Irvine, USA. He began his career as a theoretical mathematician in the field of group theory and model theory, but in later years switched to applied mathematics, in particular to machine learning. He spent some time working for the US Department of Energy at Los Alamos National Lab as well as the US Department of Defense at the Defense Intelligence Agency, both as an applied mathematician of machine learning. He held a position as Associate Professor of Mathematics at Manhattan College in New York City, but later left to pursue research working for the US Department of Energy at Sandia National Laboratory as a Principal Data Analyst. His research interests include machine learning, statistics and computational algebra.
| Author | : Ed Dubinsky |
| Publisher | : Springer |
| Total Pages | : 0 |
| Release | : 2011-09-16 |
| Genre | : Mathematics |
| ISBN | : 9781461276029 |
Download Learning Abstract Algebra with ISETL Book in PDF, ePub and Kindle
Most students in abstract algebra classes have great difficulty making sense of what the instructor is saying. Moreover, this seems to remain true almost independently of the quality of the lecture. This book is based on the constructivist belief that, before students can make sense of any presentation of abstract mathematics, they need to be engaged in mental activities which will establish an experiential base for any future verbal explanation. No less, they need to have the opportunity to reflect on their activities. This approach is based on extensive theoretical and empirical studies as well as on the substantial experience of the authors in teaching astract algebra. The main source of activities in this course is computer constructions, specifically, small programs written in the mathlike programming language ISETL; the main tool for reflections is work in teams of 2-4 students, where the activities are discussed and debated. Because of the similarity of ISETL expressions to standard written mathematics, there is very little programming overhead: learning to program is inseparable from learning the mathematics. Each topic is first introduced through computer activities, which are then followed by a text section and exercises. This text section is written in an informed, discusive style, closely relating definitions and proofs to the constructions in the activities. Notions such as cosets and quotient groups become much more meaningful to the students than when they are preseted in a lecture.
