A Concrete Introduction to Higher Algebra (Undergraduate - download pdf or read online

By Lindsay N. Childs

ISBN-10: 0387745270

ISBN-13: 9780387745275

ISBN-10: 1441925619

ISBN-13: 9781441925619

This publication is an off-the-cuff and readable advent to raised algebra on the post-calculus point. The suggestions of ring and box are brought via learn of the standard examples of the integers and polynomials. a powerful emphasis on congruence periods leads in a normal option to finite teams and finite fields. the hot examples and concept are in-built a well-motivated type and made proper through many purposes - to cryptography, coding, integration, background of arithmetic, and particularly to ordinary and computational quantity idea. The later chapters contain expositions of Rabiin's probabilistic primality try, quadratic reciprocity, and the type of finite fields. Over 900 routines, starting from regimen examples to extensions of idea, are chanced on in the course of the publication; tricks and solutions for plenty of of them are integrated in an appendix. “At each level, a large choice of functions is presented...The undemanding exposition is acceptable for the meant audience.” T.W. Hungerford the hot variation will comprise subject matters 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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