In this charming volume, a noted English mathematician uses humor and anecdote to illuminate the concepts of groups, sets, subsets, topology, Boolean algebra, and other mathematical subjects. 200 illustrations.
An in-depth overview of some of the most readily applicable essentials of modern mathematics, this concise volume is geared toward undergraduates of all backgrounds as well as future math majors.
The book presents important mathematical concepts, methods and tools in the context of essential questions raised in modern biology.
Thus a throw of { 1 , 3 , 5 } can occur in 6 ways { red 1 , black 3 , white 5 } , { red 1 , white 5 , black 3 } , etc. , so that the probability of such a throw is 6/216 = 1/36 and a throw of { 1 , 1 , 3 } = { red 1 , black 1 , white 3 } ...
An unusually thoughtful and well-constructed introduction to the serious study of mathematics, this book requires no background beyond high school courses in plane geometry and elementary algebra.
The text then takes a look at generalized unions and intersections of sets, Cartesian products of sets, and equivalence relations. The book ponders on powers of sets, ordered sets, and linearly ordered sets.
"Students and general readers wishing to know a little more about the practical side of mathematics will find this volume a highly informative resource.
A discussion of fundamental mathematical principles from algebra to elementary calculus designed to promote constructive mathematical reasoning.
Accessible to students and relevant to specialists, this remarkable book by a prominent educator offers a unique perspective on the evolutionary development of mathematics.
... show that A X A I A + D + D Hint: Besides counting the arrows and dots of an arbitrary graph X (such as X I A x A) via maps A —>X, D —>X, the actual internal structure of X can be calculated by composing these maps with the two maps ...
The main intention of this book is to describe and develop the conceptual, structural and abstract thinking of mathematics.