Lavoisier S.A.S.
14 rue de Provigny
94236 Cachan cedex
FRANCE

Heures d'ouverture 08h30-12h30/13h30-17h30
Tél.: +33 (0)1 47 40 67 00
Fax: +33 (0)1 47 40 67 02


Url canonique : www.lavoisier.fr/livre/autre/problems-and-proofs-in-numbers-and-algebra/millman/descriptif_3177641
Url courte ou permalien : www.lavoisier.fr/livre/notice.asp?ouvrage=3177641

Problems and Proofs in Numbers and Algebra, Softcover reprint of the original 1st ed. 2015

Langue : Anglais

Auteurs :

Couverture de l’ouvrage Problems and Proofs in Numbers and Algebra
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.
​ ​I. The Integers 1. Number Concepts, Prime Numbers, and the Division Algorithm 2. Greatest Common Divisors, Diophantine Equations, and Combinatorics 3. Equivalence Classes with Applications to Clock Arithmetics and Fractions II. The Algebra of Polynomials and Linear Systems 4. Polynomials and the Division Algorithm 5. Factoring Polynomials, Their Roots, and Some Applications 6. Matrices and Systems of Linear Equations

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

Provides a foundation for solving proofs and problems as a transition to more abstract algebra and mathematics

Readers learn problem solving abilities concerning proofs through numbers and algebra

Problems and theorems are focused on many diverse areas of number theory and algebra

Date de parution :

Ouvrage de 223 p.

15.5x23.5 cm

Disponible chez l'éditeur (délai d'approvisionnement : 15 jours).

Prix indicatif 58,01 €

Ajouter au panier

Date de parution :

Ouvrage de 223 p.

15.5x23.5 cm

Disponible chez l'éditeur (délai d'approvisionnement : 15 jours).

Prix indicatif 58,01 €

Ajouter au panier

Thème de Problems and Proofs in Numbers and Algebra :