Download e-book for kindle: A Concrete Introduction to Higher Algebra (Undergraduate by Lindsay N. Childs

By Lindsay N. Childs

This booklet is an off-the-cuff and readable advent to raised algebra on the post-calculus point. The ideas of ring and box are brought via learn of the general examples of the integers and polynomials. a robust emphasis on congruence periods leads in a ordinary approach to finite teams and finite fields. the recent examples and concept are in-built a well-motivated style and made correct by means of many purposes - to cryptography, coding, integration, background of arithmetic, and particularly to user-friendly and computational quantity conception. The later chapters contain expositions of Rabiin's probabilistic primality attempt, quadratic reciprocity, and the type of finite fields. Over 900 workouts, starting from regimen examples to extensions of conception, are stumbled on through the publication; tricks and solutions for lots of of them are integrated in an appendix. “At each degree, a wide selection of purposes is presented...The easy exposition is acceptable for the meant audience.” T.W. Hungerford the hot variation will include issues equivalent to 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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