By Lindsay N. Childs

This ebook is an off-the-cuff and readable creation to raised algebra on the post-calculus point. The ideas of ring and box are brought via learn of the established examples of the integers and polynomials. the hot examples and concept are in-built a well-motivated model and made correct by way of many purposes - to cryptography, coding, integration, heritage of arithmetic, and particularly to trouble-free and computational quantity conception. The later chapters contain expositions of Rabiin's probabilistic primality try, quadratic reciprocity, and the class of finite fields. Over 900 workouts are discovered during the book.

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