Student Solutions Manual for A Transition to Abstract Mathematics PDF Download
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Author: Randall Maddox
Publisher: Academic Press
ISBN: 0123748887
Category : Science
Languages : en
Pages : 78
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Book Description
Student Solutions Manual for A Transition to Abstract Mathematics
Author: Randall Maddox
Publisher: Academic Press
ISBN: 0123748887
Category : Science
Languages : en
Pages : 78
Get Book
Book Description
Student Solutions Manual for A Transition to Abstract Mathematics
Author: Randall Maddox
Publisher: Academic Press
ISBN: 0080922716
Category : Mathematics
Languages : en
Pages : 384
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Book Description
Constructing concise and correct proofs is one of the most challenging aspects of learning to work with advanced mathematics. Meeting this challenge is a defining moment for those considering a career in mathematics or related fields. A Transition to Abstract Mathematics teaches readers to construct proofs and communicate with the precision necessary for working with abstraction. It is based on two premises: composing clear and accurate mathematical arguments is critical in abstract mathematics, and that this skill requires development and support. Abstraction is the destination, not the starting point. Maddox methodically builds toward a thorough understanding of the proof process, demonstrating and encouraging mathematical thinking along the way. Skillful use of analogy clarifies abstract ideas. Clearly presented methods of mathematical precision provide an understanding of the nature of mathematics and its defining structure. After mastering the art of the proof process, the reader may pursue two independent paths. The latter parts are purposefully designed to rest on the foundation of the first, and climb quickly into analysis or algebra. Maddox addresses fundamental principles in these two areas, so that readers can apply their mathematical thinking and writing skills to these new concepts. From this exposure, readers experience the beauty of the mathematical landscape and further develop their ability to work with abstract ideas. Covers the full range of techniques used in proofs, including contrapositive, induction, and proof by contradiction Explains identification of techniques and how they are applied in the specific problem Illustrates how to read written proofs with many step by step examples Includes 20% more exercises than the first edition that are integrated into the material instead of end of chapter
Author: Jeffrey Bergen
Publisher: Academic Press
ISBN: 0123846811
Category : Mathematics
Languages : en
Pages : 115
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Book Description
A Concrete Approach to Abstract Algebra begins with a concrete and thorough examination of familiar objects like integers, rational numbers, real numbers, complex numbers, complex conjugation and polynomials, in this unique approach, the author builds upon these familar objects and then uses them to introduce and motivate advanced concepts in algebra in a manner that is easier to understand for most students. The text will be of particular interest to teachers and future teachers as it links abstract algebra to many topics wich arise in courses in algebra, geometry, trigonometry, precalculus and calculus. The final four chapters present the more theoretical material needed for graduate study.
Author: Elayn Martin-Gay
Publisher: Addison Wesley Longman
ISBN: 9780321646651
Category : Mathematics
Languages : en
Pages : 0
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Book Description
Basic College Mathematics, Fourth Edition was written to help readers effectively make the transition from arithmetic to algebra. The new edition offers new resources like the Student Organizer and now includes Student Resources in the back of the book to help students on their quest for success.
Author: W. Keith Nicholson
Publisher: John Wiley & Sons
ISBN: 1118288157
Category : Mathematics
Languages : en
Pages : 6
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Book Description
An indispensable companion to the book hailed an "expository masterpiece of the highest didactic value" by Zentralblatt MATH This solutions manual helps readers test and reinforce the understanding of the principles and real-world applications of abstract algebra gained from their reading of the critically acclaimed Introduction to Abstract Algebra. Ideal for students, as well as engineers, computer scientists, and applied mathematicians interested in the subject, it provides a wealth of concrete examples of induction, number theory, integers modulo n, and permutations. Worked examples and real-world problems help ensure a complete understanding of the subject, regardless of a reader's background in mathematics.
Author: Gove Effinger
Publisher: CRC Press
ISBN: 1000701816
Category : Mathematics
Languages : en
Pages : 293
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Book Description
An Elementary Transition to Abstract Mathematics will help students move from introductory courses to those where rigor and proof play a much greater role. The text is organized into five basic parts: the first looks back on selected topics from pre-calculus and calculus, treating them more rigorously, and it covers various proof techniques; the second part covers induction, sets, functions, cardinality, complex numbers, permutations, and matrices; the third part introduces basic number theory including applications to cryptography; the fourth part introduces key objects from abstract algebra; and the final part focuses on polynomials. Features: The material is presented in many short chapters, so that one concept at a time can be absorbed by the student. Two "looking back" chapters at the outset (pre-calculus and calculus) are designed to start the student’s transition by working with familiar concepts. Many examples of every concept are given to make the material as concrete as possible and to emphasize the importance of searching for patterns. A conversational writing style is employed throughout in an effort to encourage active learning on the part of the student.
Author: Charles D. Miller
Publisher: Pearson
ISBN: 9780321977922
Category : Mathematics
Languages : en
Pages : 336
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Book Description
This manual contains fully-worked solutions to the odd-numbered section exercises.
Author: Gary Chartrand
Publisher: Pearson Educacion
ISBN: 9780321782519
Category : Logic, Symbolic and mathematical
Languages : en
Pages : 400
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Book Description
This book prepares students for the more abstract mathematics courses that follow calculus. The author introduces students to proof techniques, analyzing proofs, and writing proofs of their own. It also provides a solid introduction to such topics as relations, functions, and cardinalities of sets, as well as the theoretical aspects of fields such as number theory, abstract algebra, and group theory.
Author: Abe Mizrahi
Publisher: Wiley
ISBN: 9780471136774
Category : Mathematics
Languages : en
Pages : 444
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Book Description
Comprehensive and clearly written, Mathematics offers a variety of topics applicable to the business, life sciences and social sciences fields, such as Statistics, Finance and Optimization.
Author: Abe Mizrahi
Publisher: Wiley
ISBN: 9780471355083
Category : Mathematics
Languages : en
Pages : 276
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Book Description
Making math relevant to the real world The eighth edition lives up to its reputation as a clearly written, comprehensive finite mathematics text. Students will find a greater emphasis on real-world applications from the fields of business and social sciences, making the material relevant to their studies. From the increased use of boxed formulas to informative explanations of examples, Mizrahi and Sullivan make this edition even more accessible to students. Hallmark features * The comprehensive and readable coverage has received praise through seven editions. * The text is flexibly organized. A flowchart in the preface shows instructors how to sequence chapters to meet specific needs. * Well-graded exercise sets at the end of each section help students gain a better understanding of the material. * End-of-chapter study questions for review include true/false and fill-in-the-blank questions with answers. * An abundance of realistic examples are provided that gradually increase in difficulty to develop conceptual understanding. * Mathematical questions from CPA, CMA, and actuary exams show students the relevance of the material. Also available by Mizrahi and Sullivan: Mathematics: an Applied Approach,7/E (0-471-32203-2)
