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

By Lindsay N. Childs

ISBN-10: 0387745270

ISBN-13: 9780387745275

ISBN-10: 1441925619

ISBN-13: 9781441925619

This e-book is a casual and readable creation to better algebra on the post-calculus point. The innovations of ring and box are brought via examine of the regular examples of the integers and polynomials. a robust emphasis on congruence sessions leads in a typical option to finite teams and finite fields. the hot examples and conception are inbuilt a well-motivated model and made suitable by means of many purposes - to cryptography, coding, integration, historical past of arithmetic, and particularly to uncomplicated and computational quantity conception. The later chapters comprise expositions of Rabiin's probabilistic primality try out, quadratic reciprocity, and the type of finite fields. Over 900 workouts, starting from regimen examples to extensions of concept, are stumbled on in the course of the booklet; tricks and solutions for lots of of them are integrated in an appendix. “At each degree, a wide selection of purposes is presented...The hassle-free exposition is acceptable for the meant audience.” T.W. Hungerford the hot version will include themes 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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