Background
Walter Warwick Sawyer was born in Saint Ives, Hunts, England on April 5, 1911.
http://www.amazon.com/gp/product/B0058EVT58/?tag=2022091-20
( Here is a presentation of elementary mathematics that a...)
Here is a presentation of elementary mathematics that anyone can appreciate, especially those with imagination. As the title suggests, the author's technique relies on visual elements, and his approach employs the most graphic and least "forbidding" aspects of mathematics. Most people, he observes, possess a direct vision that permits them to "see" only the smaller numbers; with the larger numbers, however, vision fails and mental chaos ensues. Sawyer addresses this difficulty, speaking both for those who like recreational mathematics and for those who teach, suggesting a variety of methods used by many effective teachers — techniques of visualizing, dramatizing, and analyzing numbers that attract and retain the attention and understanding of students. His topics, ranging from basic multiplication and division to algebra, encompass word problems, graphs, negative numbers, fractions, and many other practical applications of elementary mathematics. A valuable resource for parents and teachers, this book will captivate any reader seeking an improved understanding of mathematics.
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( "No mathematician can be a complete mathematician unles...)
"No mathematician can be a complete mathematician unless he is also something of a poet." — K. Weierstrass In this lively and stimulating account, noted mathematician and educator W. W. Sawyer (Professor Emeritus, University of Toronto) defines mathematics as "the classification and study of all possible patterns." It is a broad definition, but one that seems appropriate to the great scope and depth of the topic. Indeed, mathematics seems to have few boundaries, either in applications to practical matters or in its mind-stretching excursions into realms of pure abstraction. Gearing his approach to the layman whose grasp of things mathematical may be a bit precarious, Professor Sawyer offers a lucid, accessible introduction to the mathematician's cast of mind. Five well-written preliminary chapters explore the beauty, power and mysticism of mathematics; the role of math as an adjunct in utilitarian matters; and the concepts of pattern, generalization and unification as both tools and goals of mathematical thought. After developing this conceptual groundwork, the author goes on to treat of more advanced topics: non-Euclidean geometry, matrices, projective geometry, determinants, transformations and group theory. The emphasis here is not on mathematics with great practical utility, but on those branches which are exciting in themselves — mathematics which offers the strange, the novel, the apparently impossible — for example, an arithmetic in which no number is larger than four. Mathematicians will appreciate the author's grasp of a wide range of important mathematical topics, and his ability to illuminate the complex issues involved; laymen, especially those with a minimal math background, will appreciate the accessibility of much of the book, which affords not only a portrait of mathematics as a matchless tool for probing the nature of the universe, but a revealing glimpse of that mysterious entity called "the mathematical mind." Professor Sawyer has further enhanced this new Dover edition with updated material on group theory, appearing here in English for the first time.
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(Professor Sawyer's book is based on a course given to the...)
Professor Sawyer's book is based on a course given to the majority of engineering students in their first year at Toronto University. Its aim is to present the important ideas in linear algebra to students of average ability whose principal interests lie outside the field of mathematics; as such it will be of interest to students in other disciplines as well as engineering. The emphasis throughout is on imparting an understanding of the significance of the mathematical techniques and great care has therefore been taken to being out the underlying ideas embodied in the formal calculations. In those places where a rigorous treatment would be very long and wearisome, an explanation rather than a complete proof is provided, the reader being warned that in a more formal treatment such results would need to be be proved. The book is full of physical analogies (many from fields outside the realm of engineering) and contains many worked and unworked examples, integrated with the text.
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( Functional analysis arose from traditional topics of ca...)
Functional analysis arose from traditional topics of calculus and integral and differential equations. This accessible text by an internationally renowned teacher and author starts with problems in numerical analysis and shows how they lead naturally to the concepts of functional analysis. Suitable for advanced undergraduates and graduate students, this book provides coherent explanations for complex concepts. Topics include Banach and Hilbert spaces, contraction mappings and other criteria for convergence, differentiation and integration in Banach spaces, the Kantorovich test for convergence of an iteration, and Rall's ideas of polynomial and quadratic operators. Numerous examples appear throughout the text.
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mathematician university professor
Walter Warwick Sawyer was born in Saint Ives, Hunts, England on April 5, 1911.
He attended Highgate School in London.
He was an undergraduate at Saint John"s College, Cambridge, obtaining a Bachelor in 1933 and specializing in quantum theory and relativity. He was an assistant lecturer in mathematics from 1933 to 1937 at University College, Dundee and from 1937 to 1944 at Manchester University. From 1945 to 1947, he was the head of mathematics at Leicester College of Technology.
In 1948 Sawyer became the first head of the mathematics department of what is now the University of Ghana.
From 1951 to 1956, he was at Canterbury College (now the University of Canterbury in New Zealand). He left Canterbury College to become an associate professor at the University of Illinois, where he worked from winter 1957 through June 1958.
While there, he criticized the New Mathematics movement, which included the people who had hired him. From 1958 to 1965, he was a professor of mathematics at Wesleyan University, where he edited Mathematics Student Journal.
In the fall of 1965 he became a professor at the University of Toronto, appointed to both the College of Education and the Department of Mathematics.
He retired in 1976. Sawyer was the author of some 11 books He is probably best known for his semi-popular works Mathematician"s Delight and Prelude to Mathematics.
Both of these have been translated into many languages.
Mathematician"s Delight was still in print 65 years after it was written. Some mathematicians have credited these books with helping to inspire their choice of a career. Sawyer died on February 15, 2008, at the age of 96.
He is survived by a daughter.
(Professor Sawyer's book is based on a course given to the...)
( Here is a presentation of elementary mathematics that a...)
( Functional analysis arose from traditional topics of ca...)
( "No mathematician can be a complete mathematician unles...)
(A Concrete Approach To Abstract Algebra (Dover Books On A...)
(Will be shipped from US. Brand new copy.)