Download e-book for iPad: 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 booklet is an off-the-cuff and readable advent to raised algebra on the post-calculus point. The innovations of ring and box are brought via examine of the prevalent examples of the integers and polynomials. a powerful emphasis on congruence periods leads in a average approach to finite teams and finite fields. the hot examples and idea are in-built a well-motivated type and made correct through many functions - to cryptography, coding, integration, heritage of arithmetic, and particularly to trouble-free and computational quantity concept. The later chapters comprise expositions of Rabiin's probabilistic primality attempt, quadratic reciprocity, and the type of finite fields. Over 900 routines, starting from regimen examples to extensions of idea, are came across during the booklet; tricks and solutions for lots of of them are incorporated in an appendix. “At each degree, a large choice of functions is presented...The common exposition is acceptable for the meant audience.” T.W. Hungerford the hot version will include issues 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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