Number, Shape, & Symmetry

Regular price €69.99
A01=Diane L. Herrmann
A01=Jr.
A01=Jr. Sally
A01=Paul J. Sally
A01=Paul J. Sally Jr.
abstract notion of a group
Additive Inverse
Age Group_Uncategorized
Age Group_Uncategorized
and modular arithmetic
Author_Diane L. Herrmann
Author_Jr.
Author_Jr. Sally
Author_Paul J. Sally
Author_Paul J. Sally Jr.
automatic-update
axioms for the integers
Binary Operation
Category1=Non-Fiction
Category=PBH
Category=PBK
Check Digit
Commutative Ring
Constructible Numbers
Convex Polygons
COP=United Kingdom
Delivery_Pre-order
Digit Arithmetic
divisibility
eq_isMigrated=2
eq_new_release
Equilateral Triangle
Euclidean Algorithm
Eulerian Circuit
Glide Reflections
Greatest Common Divisor
ideas about infinity
Integral Domain
introduction to Group Theory
Jr.
Language_English
Multiplicative Identity
Multiplicative Inverse
number theory and geometry
PA=Not yet available
polygons and polyhedra
Positive Divisor
Positive Rational Numbers
Practice Problem
Price_€50 to €100
primes
PS=Forthcoming
rational numbers and real numbers
Reflectional Symmetry
Regular Polygon
Residue Class Modulo
Rotational Symmetry
rules of arithmetic
Seminars for Endorsement in Science and Mathematics Education (SESAME)
Side Sum
softlaunch
Symmetric Motions
symmetry groups
Symmetry Types
teaching and learning mathematics
tessellation and patterns in the plane
University of Chicago’s Young Scholars Program

Product details

  • ISBN 9781032919805
  • Weight: 453g
  • Dimensions: 191 x 235mm
  • Publication Date: 14 Oct 2024
  • Publisher: Taylor & Francis Ltd
  • Publication City/Country: GB
  • Product Form: Paperback
  • Language: English
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Through a careful treatment of number theory and geometry, Number, Shape, & Symmetry: An Introduction to Number Theory, Geometry, and Group Theory helps readers understand serious mathematical ideas and proofs. Classroom-tested, the book draws on the authors’ successful work with undergraduate students at the University of Chicago, seventh to tenth grade mathematically talented students in the University of Chicago’s Young Scholars Program, and elementary public school teachers in the Seminars for Endorsement in Science and Mathematics Education (SESAME).

The first half of the book focuses on number theory, beginning with the rules of arithmetic (axioms for the integers). The authors then present all the basic ideas and applications of divisibility, primes, and modular arithmetic. They also introduce the abstract notion of a group and include numerous examples. The final topics on number theory consist of rational numbers, real numbers, and ideas about infinity.

Moving on to geometry, the text covers polygons and polyhedra, including the construction of regular polygons and regular polyhedra. It studies tessellation by looking at patterns in the plane, especially those made by regular polygons or sets of regular polygons. The text also determines the symmetry groups of these figures and patterns, demonstrating how groups arise in both geometry and number theory.

The book is suitable for pre-service or in-service training for elementary school teachers, general education mathematics or math for liberal arts undergraduate-level courses, and enrichment activities for high school students or math clubs.

Diane L. Herrmann is a senior lecturer and associate director of undergraduate studies in mathematics at the University of Chicago. Dr. Herrmann is a member of the American Mathematical Society, Mathematical Association of America, Association for Women in Mathematics, Physical Sciences Collegiate Division Governing Committee, and Society for Values in Higher Education. She is also involved with the University of Chicago’s Young Scholars Program, Summer Research Opportunity Program (SROP), and Seminars for Elementary Specialists and Mathematics Educators (SESAME).

Paul J. Sally, Jr. is a professor and director of undergraduate studies in mathematics at the University of Chicago, where he has directed the Young Scholars Program for mathematically talented 7-12 grade students. Dr. Sally also founded SESAME, a staff development program for elementary public school teachers in Chicago. He is a member of the U.S. Steering Committee for the Third International Mathematics and Science Study (TIMSS) and has served as Chairman of the Board of Trustees for the American Mathematical Society.