Leading thinkers in mathematics, philosophy and education offer new insights into the fundamental question: what is a mathematical concept?
The main intention of this book is to describe and develop the conceptual, structural and abstract thinking of mathematics.
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.
Accessible to students and relevant to specialists, this remarkable book by a prominent educator offers a unique perspective on the evolutionary development of mathematics.
The book presents important mathematical concepts, methods and tools in the context of essential questions raised in modern biology.
This fresh overview of numbers and infinity avoids tedium and controversy while maintaining historical accuracy and modern relevance. Perfect for undergraduate mathematics or science history courses. 1981 edition.
Can you find a circuit that covers every block exactly once (no deadheading)? If not can you explain why not? ... How does this bear upon Exercises 5 and 6? the number of edges to be added which duplicate e,-.
... 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 ...
Mathematics teachers and people who want to gain a thorough understanding of the fundamental concepts of mathematics will find this book a good reference.
This groundbreaking book looks at the development of mathematical thinking in infants and toddlers, with an emphasis on the earliest stage, from zero to three, when mathematical thinking and problem solving first emerge as natural instincts ...
This book demonstrates how rigorous mathematical thinking can be fostered through the development of students' cognitive tools and operations.