This book is for anyone who wishes to illustrate their mathematical ideas, which in our experience means everyone. It is organized by material, rather than by subject area, and purposefully emphasizes the process of creating things, including discussions of failures that occurred along the way. As a result, the reader can learn from the experiences of those who came before, and will be inspired to create their own illustrations. Topics illustrated within include prime numbers, fractals, the Klein bottle, Borromean rings, tilings, space-filling curves, knot theory, billiards, complex dynamics, algebraic surfaces, groups and prime ideals, the Riemann zeta function, quadratic fields, hyperbolic space, and hyperbolic 3-manifolds. Everyone who opens this book should find a type of mathematics with which they identify. Each contributor explains the mathematics behind their illustration at an accessible level, so that all readers can appreciate the beauty of both the object itself and the mathematics behind it.
Drawing on many years'experience of teaching discrete mathem atics to students of all levels, Anderson introduces such as pects as enumeration, graph theory and configurations or arr angements.
This unique book complements traditional textbooks by providing a visual yet rigorous survey of the mathematics used in theoretical physics beyond that typically covered in undergraduate math and physics courses.
This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it.
This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations.
Geared toward those who have studied elementary calculus, this book stresses concepts rather than techniques.
Brief biographies (along with portraits) explain the work of famous mathematicians, along with summaries of historical developments from the early Greeks to quantum and superstring theories.
Illustrations and simple definitions covering such areas as number sense and operations, algebra, basic geometry, and data representation.
Erudite and entertaining overview follows development of mathematics from ancient Greeks to present.
Written to inspire ?aha? moments, this book enables teachers to help students identify and comprehend the nuances and true meaning of math concepts by exploring them through the lenses of language and symbolism, delving into such essential ...
5 Laguerre and Hermite polynomials Very briefly , here are two other classical families of orthogonal polynomials . • Laguerre polynomials The interval of integration is I = [ 0 , 001 , and the weight function is w ( x ) = e- * .