Funded by a National Science Foundation grant, Discovering Higher Mathematics emphasizes four main themes that are essential components of higher mathematics: experimentation, conjecture, proof, and... This description may be from another edition of this product.
I needed a refresher course (after being away from grad school for 30 years!) and was intrigued by the approach: discover the flavor of the topic by experimenting, then often resolving this into a formal proof by your self.The book is sufficiently short to be quite approcable yet reasonably complete. It has stimulated me to reading other more formal books such as A First Course in Abstract Algebra by John Fraleigh and Elements of Modern Algebra by Jimmie & Linda Gilbert.
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