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Famous mathematical constants include the ratio of circular circumference to diameter, pi=3.14 …, and the natural logarithmic base, e=2.178 … Students and professionals usually can name at most a few others, but there are many more buried in the literature and awaiting discovery. How do such constants arise, and why are they important? Here Steven Finch provides 136 essays, each devoted to a mathematical constant or a class of constants, from the well known to the highly exotic. Topics covered include the statistics of continued fractions, chaos in nonlinear systems, prime numbers, sum-free sets, isoperimetric problems, approximation theory, self-avoiding walks and the Ising model (from statistical physics), binary and digital search trees (from theoretical computer science), the Prouhet-Thue-Morse sequence, complex analysis, geometric probability and the traveling salesman problem. This book will be helpful both to readers seeking information about a specific constant, and to

Famous mathematical constants include the ratio of circular circumference to diameter, π = 3.14 …, and the natural logarithm base, e = 2.718 …. Students and professionals can often name a few others, but there are many more buried in the literature and awaiting discovery. How do such constants arise, and why are they important? Here the author renews the search he began in his book Mathematical Constants, adding another 133 essays that broaden the landscape. Topics include the minimality of soap film surfaces, prime numbers, elliptic curves and modular forms, Poisson–Voronoi tessellations, random triangles, Brownian motion, uncertainty inequalities, Prandtl–Blasius flow (from fluid dynamics), Lyapunov exponents, knots and tangles, continued fractions, Galton–Watson trees, electrical capacitance (from potential theory), Zermelo's navigation problem, and the optimal control of a pendulum. Unsolved problems appear virtually everywhere as well. This volume continues an outstanding scholarl

A fun, funny new chapter book series full of adorable pets and silly adventures!Twins Meg and Charlie are moving into their great-great-aunt's hotel, and they're in for some surprises! The run-down ho

A fun, funny new chapter book series full of adorable pets and silly adventures!The next guest at the Pet Hotel is a tabby cat named Matilda. But Meg and Charlie are worried, because she doesn't want

A fun, funny chapter book series full of adorable pets and silly adventures!The Pet Hotel's newest guest is also its most unique! Chance is a Seeing Eye mini pony. He helps his blind owner get from pl

A fun, funny chapter book series full of adorable pets and silly adventures!The Pet Hotel is up and running! Meg and Charlie have lots of different pets to watch -- dogs, cats, bunnies, birds, guinea

Brush up on your know-how by doing, making, and exploring just about everything! Activities come in all shapes and sizes, and this book shows you an incredible variety of them, from panning for gold

The canoe was essential to the early exploration of North America. Today, it is a vital link to the natural environment and vast wilderness, still widely used for recreation, transportation and sport.