Symmetry
pThis 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./ppThe 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./p
| Autor: | Tapp, Kristopher |
|---|---|
| EAN: | 9781461402985 |
| Sprache: | Englisch |
| Seitenzahl: | 215 |
| Produktart: | Gebunden |
| Verlag: | Springer, Berlin |
| Untertitel: | A Mathematical Exploration |
| Schlagworte: | Algebra Symmetrie Cantor's theorem Cayley table Euclidean space Euler characteristic Platonic solid Pythagorean Theorem Symmetry alternating group chirality group theory irrational number isomorphism isoperimetric linear algebra orthogonal matrix permutation planar graph prime number real number reflection rotation symmetry group transformational geometry uncountable wallpaper pattern |
| Größe: | 14 × 156 × 242 |
| Gewicht: | 531 g |
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