New PDF release: A Concrete Introduction to Higher Algebra (Undergraduate

By Lindsay N. Childs

ISBN-10: 0387745270

ISBN-13: 9780387745275

ISBN-10: 1441925619

ISBN-13: 9781441925619

This e-book is a casual and readable creation to raised algebra on the post-calculus point. The recommendations of ring and box are brought via examine of the widespread examples of the integers and polynomials. a robust emphasis on congruence periods leads in a traditional approach to finite teams and finite fields. the recent examples and thought are in-built a well-motivated style and made appropriate by means of many purposes - to cryptography, coding, integration, heritage of arithmetic, and particularly to hassle-free and computational quantity thought. The later chapters comprise expositions of Rabiin's probabilistic primality try, quadratic reciprocity, and the class of finite fields. Over 900 workouts, starting from regimen examples to extensions of idea, are discovered during the booklet; tricks and solutions for plenty of of them are incorporated in an appendix. “At each degree, a large choice of functions is presented...The common exposition is suitable for the meant audience.” T.W. Hungerford the recent version will include issues resembling 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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