Read e-book online 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 booklet is a casual and readable creation to raised algebra on the post-calculus point. The techniques of ring and box are brought via examine of the widespread examples of the integers and polynomials. a powerful emphasis on congruence periods leads in a normal strategy to finite teams and finite fields. the hot examples and conception are in-built a well-motivated type and made appropriate by way of many purposes - to cryptography, coding, integration, historical past of arithmetic, and particularly to easy and computational quantity thought. The later chapters comprise expositions of Rabiin's probabilistic primality try, quadratic reciprocity, and the category of finite fields. Over 900 routines, starting from regimen examples to extensions of thought, are chanced on through the publication; tricks and solutions for lots of of them are integrated in an appendix. “At each degree, a wide selection of purposes is presented...The hassle-free exposition is acceptable for the meant audience.” T.W. Hungerford the hot version will include subject matters reminiscent of 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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