Get A Concrete Introduction to Higher Algebra (Undergraduate PDF

By Lindsay N. Childs

This booklet is a casual and readable advent to raised algebra on the post-calculus point. The techniques of ring and box are brought via examine of the primary examples of the integers and polynomials. a robust emphasis on congruence sessions leads in a usual option to finite teams and finite fields. the hot examples and concept 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 trouble-free and computational quantity thought. The later chapters comprise expositions of Rabiin's probabilistic primality attempt, quadratic reciprocity, and the class of finite fields. Over 900 workouts, starting from regimen examples to extensions of idea, are came across through the e-book; tricks and solutions for lots of of them are integrated in an appendix. “At each degree, a wide selection of functions is presented...The simple exposition is acceptable for the meant audience.” T.W. Hungerford the hot variation will comprise subject matters similar 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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