Single Digits (eBook)

In Praise of Small Numbers

Marc Chamberland (Autor)

eBook Download: PDF | EPUB

2015
240 Seiten
Princeton University Press (Verlag)
978-1-4008-6569-7 (ISBN)

Infos

Marc Chamberland is professor of mathematics and natural sciences at Grinnell College. He is the creator of the YouTube channel Tipping Point Math, which strives to make mathematics accessible to everyone.

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The remarkable properties of the numbers one through nineIn Single Digits, Marc Chamberland takes readers on a fascinating exploration of small numbers, from one to nine, looking at their history, applications, and connections to various areas of mathematics, including number theory, geometry, chaos theory, numerical analysis, and mathematical physics. For instance, why do eight perfect card shuffles leave a standard deck of cards unchanged? And, are there really "e;six degrees of separation"e; between all pairs of people? Chamberland explores these questions and covers vast numerical territory, such as illustrating the ways that the number three connects to chaos theory, the number of guards needed to protect an art gallery, problematic election results and so much more. The book's short sections can be read independently and digested in bite-sized chunks-especially good for learning about the Ham Sandwich Theorem and the Pizza Theorem. Appealing to high school and college students, professional mathematicians, and those mesmerized by patterns, this book shows that single digits offer a plethora of possibilities that readers can count on.

Produkt-Details

• Erscheint lt. Verlag: 2.6.2015
• Zusatzinfo: 24 halftones. 93 line illus. 20 tables.
• Verlagsort: Princeton
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Analysis
• Themenwelt: Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
• Themenwelt: Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie
• Themenwelt: Mathematik / Informatik ► Mathematik ► Logik / Mengenlehre
• Schlagworte: 3-sphere • Addition • algebraic equation • algorithm • Angle trisection • Approximation • attractor • autocorrelation • Barker code • Benford's Law • Big O notation • Binary number • Binomial coefficient • Borromean Rings • Calculation • Cantor set • coefficient • collinearity • complex number • conjecture • convex hull • Conway's Game of Life • counterexample • Cubic function • Daniel Tammet • Dimension • Diophantine equation • Division by zero • Epigraph (literature) • Equation • equilateral triangle • Euler's formula • Euler's four-square identity • Fano plane • Fermat's Last Theorem • Fibonacci Number • Four Color Theorem • four-dimensional space • Geometry • Heegner number • hexagon • Honeycomb conjecture • Integer • inverse problem • Iteration • Knight's tour • Lagrange's four-square theorem • Marden's theorem • mathematician • Mathematics • Millennium Prize problems • Narcissistic number • Natural number • Number Theory • Numerical analysis • octonion • Pascal's theorem • Pascal's triangle • Perfect number • Perfect power • Permutation • Petersen graph • pigeonhole principle • Pizza theorem • Platonic solid • polyhedron • polynomial • prime factor • Prime number • Princeton University Press • quadratic form • Quadratic formula • Quantity • quaternion • Rational number • real number • rectangle • regular polygon • result • Reuleaux triangle • Self-similarity • Sequence • small number • Special case • Square Number • square root • Summation • Surface Area • tessellation • tetrahedron • Theorem • Three-body problem • Three-dimensional space (mathematics) • Triangular Number • two-dimensional space • Unit fraction • unknot • Upper and lower bounds • Variable (mathematics) • White hat (computer security)
• ISBN-10: 1-4008-6569-7 / 1400865697
• ISBN-13: 978-1-4008-6569-7 / 9781400865697