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Quote by W. W. Sawyer

“In mathematics, if a pattern occurs, we can go on to ask, Why does it occur? What does it signify? And we can find answers to these questions. In fact, for every pattern that appears, a mathematician feels he ought to know why it appears.”

Quote by W. W. Sawyer

Work

Prelude to Mathematics

This book serves as a foundational guide to mathematics, covering key topics such as logic, set theory, and number theory. It is designed to help readers develop a strong understanding of the basic principles that underpin the discipline, with a focus on clarity and accessibility. more

Author

W. W. Sawyer
W. W. Sawyer

W. W. Sawyer (1911-2008) was a British mathematician, mathematics educator, and popular science writer, best known for his accessible and engaging books on mathematics. Born in England, he taught at several universities and dedicated his career to making mathematics enjoyable. His works, such as 'Mathematician's Delight,' have been translated into many languages, inspiring generations of math enthusiasts. more

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“The lock-step approach of algebra, geometry, and then more algebra (but rarely any statistics) is still dominant in U. S. schools, but hardly anywhere else. This fragmented approach yields effective mathematics education not for the many but for the few primarily those who are independently motivated and who will learn under any conditions.”

“As one reads mathematics, one needs to have an active mind, asking questions, forming mental connections between the current topic and other ideas from other contexts, so as to develop a sense of the structure, not just familiarity with a particular tour through the structure.”

“The calculus was the first achievement of modern mathematics and it is difficult to overestimate its importance. I think it defines more unequivocally than anything else the inception of modern mathematics; and the system of mathematical analysis, which is its logical development, still constitutes the greatest technical advance in exact thinking.”

“Besides language and music, it [mathematics] is one of the primary manifestations of the free creative power of the human mind, and it is the universal organ for world understanding through theoretical construction. Mathematics must therefore remain an essential element of the knowledge and abilities which we have to teach, of the culture we have to transmit, to the next generation.”