000 03063nam a22004455i 4500
001 978-1-4614-0299-2
003 DE-He213
005 20140220083238.0
007 cr nn 008mamaa
008 111130s2012 xxu| s |||| 0|eng d
020 _a9781461402992
_9978-1-4614-0299-2
024 7 _a10.1007/978-1-4614-0299-2
_2doi
050 4 _aQA1-939
072 7 _aPB
_2bicssc
072 7 _aMAT000000
_2bisacsh
082 0 4 _a510
_223
100 1 _aTapp, Kristopher.
_eauthor.
245 1 0 _aSymmetry
_h[electronic resource] :
_bA Mathematical Exploration /
_cby Kristopher Tapp.
264 1 _aNew York, NY :
_bSpringer New York,
_c2012.
300 _aXIV, 215p. 159 illus., 152 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
505 0 _aPreface -- 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.
520 _aThis 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, Euler’s 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.
650 0 _aMathematics.
650 0 _aGeometry.
650 1 4 _aMathematics.
650 2 4 _aMathematics, general.
650 2 4 _aGeometry.
650 2 4 _aMathematics in the Humanities and Social Sciences.
650 2 4 _aMathematics in Art and Architecture.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9781461402985
856 4 0 _uhttp://dx.doi.org/10.1007/978-1-4614-0299-2
912 _aZDB-2-SMA
999 _c100825
_d100825