A Concrete Introduction to Higher Algebra (Undergraduate by Lindsay N. Childs PDF

By Lindsay N. Childs

ISBN-10: 0387745270

ISBN-13: 9780387745275

ISBN-10: 1441925619

ISBN-13: 9781441925619

This publication is a casual and readable advent to better algebra on the post-calculus point. The innovations of ring and box are brought via research of the customary examples of the integers and polynomials. a powerful emphasis on congruence periods leads in a typical solution to finite teams and finite fields. the hot examples and concept are in-built a well-motivated style and made appropriate by way of many functions - to cryptography, coding, integration, heritage of arithmetic, and particularly to basic and computational quantity conception. The later chapters contain expositions of Rabiin's probabilistic primality try, quadratic reciprocity, and the type of finite fields. Over 900 workouts, starting from regimen examples to extensions of conception, are came across through the e-book; 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 comprise themes 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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