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 ebook is a casual and readable advent to better algebra on the post-calculus point. The options of ring and box are brought via learn of the established examples of the integers and polynomials. a robust emphasis on congruence sessions leads in a common technique to finite teams and finite fields. the recent examples and thought are in-built a well-motivated style and made suitable by way of many functions - to cryptography, coding, integration, background of arithmetic, and particularly to ordinary and computational quantity idea. The later chapters comprise expositions of Rabiin's probabilistic primality attempt, quadratic reciprocity, and the category of finite fields. Over 900 workouts, starting from regimen examples to extensions of thought, are stumbled on through the ebook; tricks and solutions for lots of of them are integrated in an appendix. “At each degree, a large choice of purposes is presented...The hassle-free exposition is acceptable for the meant audience.” T.W. Hungerford the hot variation will include subject matters equivalent 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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