A Concrete Introduction to Higher Algebra (Undergraduate - download pdf or read online

By Lindsay N. Childs

This e-book is an off-the-cuff and readable creation to better algebra on the post-calculus point. The thoughts of ring and box are brought via examine of the typical examples of the integers and polynomials. a robust emphasis on congruence periods leads in a ordinary technique to finite teams and finite fields. the recent examples and conception are in-built a well-motivated style and made suitable by means of many purposes - to cryptography, coding, integration, heritage of arithmetic, and particularly to simple and computational quantity idea. The later chapters contain expositions of Rabiin's probabilistic primality try, quadratic reciprocity, and the class of finite fields. Over 900 workouts, starting from regimen examples to extensions of thought, are discovered in the course of the booklet; tricks and solutions for lots of of them are integrated in an appendix. “At each level, a large choice of purposes is presented...The effortless exposition is acceptable for the meant audience.” T.W. Hungerford the hot variation will include subject matters comparable 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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