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© LIBERO v6.4.1sp220816
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Symmetry: A Mathematical Exploration
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Catalogue Information
Field name
Details
Dewey Class
510
Title
Symmetry (EB) : A Mathematical Exploration / by Kristopher Tapp.
Author
Tapp, Kristopher. , 1971-
Other name(s)
SpringerLink (Online service)
Publication
New York, NY : Springer , 2012.
Physical Details
XIV, 215 pages, 159 illus., 152 illus. in color. : online resource.
ISBN
9781461402992
Summary Note
This textbook is perfect for a math course for non-math majors, with the goal of encouraging effective analytical thinking and exposing students to elegant mathematical ideas. It includes many topics commonly found in sampler courses, like Platonic solids, Eulerâs formula, irrational numbers, countable sets, permutations, and a proof of the Pythagorean Theorem. All of these topics serve a single compelling goal: understanding the mathematical patterns underlying the symmetry that we observe in the physical world around us. The exposition is engaging, precise and rigorous. The theorems are visually motivated with intuitive proofs appropriate for the intended audience. Students from all majors will enjoy the many beautiful topics herein, and will come to better appreciate the powerful cumulative nature of mathematics as these topics are woven together into a single fascinating story about the ways in which objects can be symmetric. Kristopher Tapp is currently a mathematics professor at Saint Joseph's University. He is the author of 17 research papers and one well-reviewed undergraduate textbook, Matrix Groups for Undergraduates. He has been awarded two National Science Foundation research grants and several teaching awards.:
Contents note
Preface -- 1 Introduction to Symmetry -- 2 The Algebra of Symmetry -- 3 Isomorphism -- 4 The Classification Theorems -- 5 Subgroups and Product Groups -- 6 Permutations -- 7 Symmetries of Solid Objects -- 8 The Five Platonic Solids -- 9 Symmetry and Optimization -- 10 What is a Number? -- 11 Cantor's Infinity -- 12 Euclidean Space -- 13 Symmetry and Matrices -- Index.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site
http://dx.doi.org/10.1007/978-1-4614-0299-2
Links to Related Works
Subject References:
Geometry
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Mathematics
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Mathematics, general
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Mathematics in Art and Architecture
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Mathematics in the Humanities and Social Sciences
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Symmetry
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Authors:
Tapp, Kristopher. 1971-
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Corporate Authors:
SpringerLink (Online service)
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Classification:
510
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