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Concrete Introduction to Higher Algebra
Lindsay N. Childs
€ 109.43
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Description for Concrete Introduction to Higher Algebra
Hardcover. .
This book is an informal and readable introduction to higher algebra at the post-calculus level. The concepts of ring and field are introduced through study of the familiar examples of the integers and polynomials. The new examples and theory are built in a well-motivated fashion and made relevant by many applications - to cryptography, coding, integration, history of mathematics, and especially to elementary and computational number theory. The later chapters include expositions of Rabiin's probabilistic primality test, quadratic reciprocity, and the classification of finite fields. Over 900 exercises are found throughout the book.
This book is an informal and readable introduction to higher algebra at the post-calculus level. The concepts of ring and field are introduced through study of the familiar examples of the integers and polynomials. The new examples and theory are built in a well-motivated fashion and made relevant by many applications - to cryptography, coding, integration, history of mathematics, and especially to elementary and computational number theory. The later chapters include expositions of Rabiin's probabilistic primality test, quadratic reciprocity, and the classification of finite fields. Over 900 exercises are found throughout the book.
Product Details
Publisher
Springer-Verlag New York Inc. United States
Number of pages
617
Format
Hardback
Publication date
2008
Series
Undergraduate Texts in Mathematics
Condition
New
Number of Pages
604
Place of Publication
New York, NY, United States
ISBN
9780387745275
SKU
V9780387745275
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
Reviews for Concrete Introduction to Higher Algebra
From the reviews: The user-friendly exposition is appropriate for the intended audience. Exercises often appear in the text at the point they are relevant, as well as at the end of the section or chapter. Hints for selected exercises are given at the end of the book. There is sufficient material for a two-semester course and ... Read more