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By Lindsay N. Childs

This publication is an off-the-cuff and readable creation to better algebra on the post-calculus point. The ideas of ring and box are brought via examine of the primary examples of the integers and polynomials. a robust emphasis on congruence periods leads in a usual approach to finite teams and finite fields. the hot examples and conception are in-built a well-motivated style and made proper by way of many purposes - to cryptography, coding, integration, heritage of arithmetic, and particularly to hassle-free and computational quantity idea. The later chapters comprise expositions of Rabiin's probabilistic primality try out, quadratic reciprocity, and the category of finite fields. Over 900 workouts, starting from regimen examples to extensions of conception, are discovered through the booklet; tricks and solutions for lots of of them are incorporated in an appendix. “At each degree, a large choice of purposes is presented...The common exposition is suitable for the meant audience.” T.W. Hungerford the recent version will include issues reminiscent of Luhn's formulation, homomorphisms, detaching coefficients, and more.

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A Concrete Introduction to Higher Algebra (Undergraduate Texts in Mathematics) by Lindsay N. Childs

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