Get A Concrete Introduction to Higher Algebra (Undergraduate PDF

By Lindsay N. Childs

ISBN-10: 0387745270

ISBN-13: 9780387745275

ISBN-10: 1441925619

ISBN-13: 9781441925619

This ebook is a casual and readable advent to raised algebra on the post-calculus point. The thoughts of ring and box are brought via examine of the wide-spread examples of the integers and polynomials. a powerful emphasis on congruence periods leads in a average option to finite teams and finite fields. the recent examples and concept are in-built a well-motivated model and made appropriate through many purposes - to cryptography, coding, integration, background of arithmetic, and particularly to common and computational quantity thought. The later chapters comprise expositions of Rabiin's probabilistic primality try out, quadratic reciprocity, and the type of finite fields. Over 900 routines, starting from regimen examples to extensions of thought, are came across in the course of the booklet; tricks and solutions for lots of of them are incorporated in an appendix. “At each degree, a wide selection of functions is presented...The trouble-free exposition is suitable for the meant audience.” T.W. Hungerford the hot version will include issues akin 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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