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Mathematics for Everyman: From Simple Numbers to the Calculus Paperback – January 16, 2003
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Original Language: German
Top Customer Reviews
This book could teach an intelligent 12 year-old the fundamental concepts of algebra through calculus. The book is far more conceptual than any textbook you would ever read. The exposition is brilliantly clear and well motivated. You start with understanding the basic number systems and the fundamental rules of counting. Then you progress through basic algebra and geometry, and finally reach analytic geometry and calculus.
Connections are made between subjects in every section of the text! One thing you learn from the early chapter is again applied later on. For example, the chapter on combinations heavily influences the chapter on the binomial theorem. The author explains flawlessly how the symmetry of combinations is the driving force behind the binomial theorem!
There are many historical notes and many deep ideas and works from various authors are mentioned! I wish that textbooks like this were used in every mathematical subject! Surely, many more people would appreciate mathematics if there were...