Problems and proofs in numbers and algebra
Resource Information
The work Problems and proofs in numbers and algebra represents a distinct intellectual or artistic creation found in University of Oklahoma Libraries. This resource is a combination of several types including: Work, Language Material, Books.
The Resource
Problems and proofs in numbers and algebra
Resource Information
The work Problems and proofs in numbers and algebra represents a distinct intellectual or artistic creation found in University of Oklahoma Libraries. This resource is a combination of several types including: Work, Language Material, Books.
 Label
 Problems and proofs in numbers and algebra
 Statement of responsibility
 Richard S. Millman, Peter J. Shiue, Eric Brendan Kahn
 Subject

 Proof theory
 Mathematics
 General Algebraic Systems
 Algebra
 Mathematics  Algebra  Abstract
 Electronic books
 Mathematical Logic and Foundations
 Proof theory
 Algebra
 Physical Sciences & Mathematics
 Number Theory
 Number theory
 Algebra
 Mathematics  Logic
 Algebra
 Mathematical foundations
 Mathematics  Number Theory
 Mathematics
 Number theory
 Number theory
 Language
 eng
 Summary
 Designed to facilitate the transition from undergraduate calculus and differential equations to learning about proofs, this book helps students develop the rigorous mathematical reasoning needed for advanced courses in analysis, abstract algebra, and more. Students will focus on both how to prove theorems and solve problem sets indepth; that is, where multiple steps are needed to prove or solve. This proof technique is developed by examining two specific content themes and their applications indepth: number theory and algebra. This choice of content themes enables students to develop an understanding of proof technique in the context of topics with which they are already familiar, as well as reinforcing natural and conceptual understandings of mathematical methods and styles. The key to the text is its interesting and intriguing problems, exercises, theorems, and proofs, showing how students will transition from the usual, more routine calculus to abstraction while also learning how to ĺlproveĺl or ĺlsolveĺl complex problems. This method of instruction is augmented by examining applications of number theory in systems such as RSA cryptography, Universal Product Code (UPC), and International Standard Book Number (ISBN). The numerous problems and examples included in each section reward curiosity and insightfulness over more simplistic approaches. Each problem set begins with a few easy problems, progressing to problems or proofs with multistep solutions. Exercises in the text stay close to the examples of the section, allowing students the immediate opportunity to practice developing techniques.℗l Beyond the undergraduate mathematics student audience, the text can also offer a rigorous treatment of mathematics content (numbers and algebra) for high achieving high school students. Furthermore, prospective teachers will add to the breadth of the audience as math education majors, will understand more thoroughly methods of proof, and will add to the depth of their mathematical knowledge
 Cataloging source
 GW5XE
 Dewey number
 512.7
 Illustrations
 illustrations
 Index
 no index present
 LC call number
 QA241
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
Context
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