Concepts of Modern Mathematics (Revised)
Some years ago, new math took the country's classrooms by storm. Based on the abstract, general style of mathematical exposition favored by research mathematicians, its goal was to teach students not just to manipulate numbers and formulas, but to grasp the underlying mathematical concepts. The result, at least at first, was a great deal of confusion among teachers, students, and parents. Since then, the negative aspects of new math have been eliminated and its positive elements assimilated into classroom instruction.
In this charming volume, a noted English mathematician uses humor and anecdote to illuminate the concepts underlying new math: groups, sets, subsets, topology, Boolean algebra, and more. According to Professor Stewart, an understanding of these concepts offers the best route to grasping the true nature of mathematics, in particular the power, beauty, and utility of pure mathematics. No advanced mathematical background is needed (a smattering of algebra, geometry, and trigonometry is helpful) to follow the author's lucid and thought-provoking discussions of such topics as functions, symmetry, axiomatics, counting, topology, hyperspace, linear algebra, real analysis, probability, computers, applications of modern mathematics, and much more.
By the time readers have finished this book, they'll have a much clearer grasp of how modern mathematicians look at figures, functions, and formulas and how a firm grasp of the ideas underlying new math leads toward a genuine comprehension of the nature of mathematics itself.
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About the Author
Ian's first contact with psychotherapy was as a client. While continuing his own personal therapy, he developed a growing interest in the theory and method of psychotherapy generally and transactional analysis in particular. He entered formal TA training in 1979, and gained accreditation as a TA practitioner in 1984. For several years Ian followed two parallel careers, as lecturer and as psychotherapist. In the end, psychotherapy won the day: in 1989 Ian resigned his university lectureship to pursue a full-time career as a TA psychotherapist, writer and trainer.
Ian is the author, with co-author Vann Joines, of the basic text on transactional analysis, TA Today. First published in 1987, the book has been translated into fifteen languages and is widely regarded as the world-standard introduction to its subject. Its second edition appeared in 2012. Ian is Co-Director of The Berne Institute, a TA training centre which celebrates its twentieth anniversary in 2013.
Ian lives in a small village in the backwoods of Leicestershire, together with his wife and three cats. His leisure interests include Morris dancing, cycling, fitness activities generally, and the appreciation of real ale.