000 | 03063nam a22004455i 4500 | ||
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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 |
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024 | 7 |
_a10.1007/978-1-4614-0299-2 _2doi |
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050 | 4 | _aQA1-939 | |
072 | 7 |
_aPB _2bicssc |
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072 | 7 |
_aMAT000000 _2bisacsh |
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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. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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347 |
_atext file _bPDF _2rda |
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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 |