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 an off-the-cuff and readable creation to better algebra on the post-calculus point. The strategies of ring and box are brought via examine of the established examples of the integers and polynomials. a robust emphasis on congruence sessions leads in a usual method to finite teams and finite fields. the recent examples and idea are inbuilt a well-motivated model and made appropriate by way of 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 out, quadratic reciprocity, and the class of finite fields. Over 900 workouts, starting from regimen examples to extensions of idea, are came upon during the e-book; tricks and solutions for lots of of them are integrated in an appendix. “At each degree, a large choice of purposes is presented...The effortless exposition is acceptable for the meant audience.” T.W. Hungerford the recent variation will comprise themes 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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