Diane L. Herrmann, Paul J. Sally Jr.

Number, Shape, & Symmetry (eBook, PDF)

An Introduction to Number Theory, Geometry, and Group Theory

• Format: PDF

Produktbeschreibung

Through a careful treatment of number theory and geometry, this text helps readers understand serious mathematical ideas and proofs. It shows how number theory and geometry are essential components to understanding mathematics. 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).

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Produktdetails

• Verlag: Taylor & Francis
• Seitenzahl: 444
• Erscheinungstermin: 18. Oktober 2012
• Englisch
• ISBN-13: 9781466554658
• Artikelnr.: 57105547

Autorenporträt

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.

Inhaltsangabe

The Triangle Game. The Beginnings of Number Theory. Axioms in Number
Theory. Divisibility and Primes. The Division and Euclidean Algorithms.
Variations on a Theme. Congruences and Groups. Applications of Congruences.
Rational Numbers and Real Numbers. Introduction to Geometry and Symmetry.
Polygons and Their Construction. Symmetry Groups. Permutations. Polyhedra.
Graph Theory. Tessellations. Connections. Appendix. Glossary. Bibliography.
Index.