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 publication is a casual and readable creation to better algebra on the post-calculus point. The strategies of ring and box are brought via learn of the established examples of the integers and polynomials. a powerful emphasis on congruence sessions leads in a traditional option to finite teams and finite fields. the hot examples and idea are in-built a well-motivated style and made correct via many functions - to cryptography, coding, integration, heritage of arithmetic, and particularly to effortless and computational quantity concept. The later chapters contain expositions of Rabiin's probabilistic primality attempt, quadratic reciprocity, and the category of finite fields. Over 900 routines, starting from regimen examples to extensions of idea, are chanced on during the publication; tricks and solutions for lots of of them are integrated in an appendix. “At each level, a large choice of purposes is presented...The trouble-free exposition is acceptable for the meant audience.” T.W. Hungerford the hot version will comprise subject matters reminiscent of Luhn's formulation, homomorphisms, detaching coefficients, and more.

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