Problems and Proofs in Numbers and Algebra

Millman, Richard S.; Shiue, Peter J.; Kahn, Eric Brendan

ISBN 10: 331914426X / ISBN 13: 9783319144269

Published by Springer, 2015

About this Item

Springer, 2015. NOT print on demand. We have only this one copy, but it is available now and ready to ship today from Henderson, Nevada. New and unread in near PERFECT condition. The book has only a tiny bit of very mild shelfwear (like you sometimes find in any new book store). Flat, uncreased spine. NO chips, tears, creases or fading. Bright and shiny. Square and tight. Sharp corners. NO owner's name or bookplate. NOT a remainder. Pages are crisp, clean and unmarked - obviously never read. Bound in the original pale green and yellow laminated boards. From the publisher: "Focusing on an approach of solving rigorous problems and learning how to prove, this volume is concentrated on two specific content themes, elementary number theory and algebraic polynomials. The benefit to readers who are moving from calculus to more abstract mathematics is to acquire the ability to understand proofs through use of the book and the multitude of proofs and problems that will be covered throughout. This book is meant to be a transitional precursor to more complex topics in analysis, advanced number theory, and abstract algebra. To achieve the goal of conceptual understanding, a large number of problems and examples will be interspersed through every chapter. The problems are always presented in a multi-step and often very challenging, requiring the reader to think about proofs, counter-examples, and conjectures. 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. In the past, PNA has been taught in a problem solving in middle school course (twice), to a quite advanced high school students course (three semesters), and three times as a secondary resource for a course for future high school teachers. PNA is suitable for secondary math teachers who look for material to encourage and motivate more high achieving students.". First Printing of the First Edition. Hardcover. New condition/No dust jacket, as issued. 8vo. x, 223pp. Great Packaging, Fast Shipping.

Seller Inventory # 030622

Bibliographic Details

• Title: Problems and Proofs in Numbers and Algebra
• Publisher: Springer
• Publication Date: 2015
• Language: English
• ISBN 10: 331914426X
• ISBN 13: 9783319144269
• Binding: Hardcover
• Edition: First Printing of the First Edition.
• Condition: New condition
• Dust Jacket Condition: No dust jacket, as issued
• Seller catalogs:
  • Mathematics

About this title

Synopsis

Focusing on an approach of solving rigorous problems and learning how to prove, this volume is concentrated on two specific content themes, elementary number theory and algebraic polynomials. The benefit to readers who are moving from calculus to more abstract mathematics is to acquire the ability to understand proofs through use of the book and the multitude of proofs and problems that will be covered throughout. This book is meant to be a transitional precursor to more complex topics in analysis, advanced number theory, and abstract algebra. To achieve the goal of conceptual understanding, a large number of problems and examples will be interspersed through every chapter. The problems are always presented in a multi-step and often very challenging, requiring the reader to think about proofs, counter-examples, and conjectures. 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. In the past, PNA has been taught in a "problem solving in middle school” course (twice), to a quite advanced high school students course (three semesters), and three times as a secondary resource for a course for future high school teachers. PNA is suitable for secondary math teachers who look for material to encourage and motivate more high achieving students.

About the Author

Richard S. Millman,Ph.D., Director, Center for Education Integrating Science, Mathematics, and Computing (CEISMC) Georgia Institute of Technology Atlanta, GA 30332-­0282

Peter J. Shiue Department of Mathematical Sciences University of Nevada, Las Vegas 4505 Maryland Pkwy Las Vegas, NV 89154-4020

Eric Brendan Kahn Department of Mathematics, Computer Science, and Statistics Bloomsburg University 400 East Second Street Bloomsburg, PA 17815