A Field Guide to Algebra
Antoine Chambert-Loir
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Description for A Field Guide to Algebra
hardcover. Focuses on the structure of fields and is intended for a second course in abstract algebra. This book provides proofs of the transcendence of pi and e. It explores equations, both polynomial and differential, and the algebraic structure of their solutions. Series: Undergraduate Texts in Mathematics. Num Pages: 208 pages, biography. BIC Classification: PBF. Category: (G) General (US: Trade); (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 234 x 156 x 12. Weight in Grams: 1050.
This is a small book on algebra where the stress is laid on the structure of ?elds, hence its title. Youwillhearaboutequations,bothpolynomialanddi?erential,andabout the algebraic structure of their solutions. For example, it has been known for centuries how to explicitely solve polynomial equations of degree 2 (Baby- nians, many centuries ago), 3 (Scipione del Ferro, Tartaglia, Cardan, around th 1500a.d.), and even 4 (Cardan, Ferrari,xvi century), using only algebraic operations and radicals (nth roots). However, the case of degree 5 remained unsolved until Abel showed in 1826 that a general equation of degree 5 cannot be solved that way. Soon after that, ... Read more
This is a small book on algebra where the stress is laid on the structure of ?elds, hence its title. Youwillhearaboutequations,bothpolynomialanddi?erential,andabout the algebraic structure of their solutions. For example, it has been known for centuries how to explicitely solve polynomial equations of degree 2 (Baby- nians, many centuries ago), 3 (Scipione del Ferro, Tartaglia, Cardan, around th 1500a.d.), and even 4 (Cardan, Ferrari,xvi century), using only algebraic operations and radicals (nth roots). However, the case of degree 5 remained unsolved until Abel showed in 1826 that a general equation of degree 5 cannot be solved that way. Soon after that, ... Read more
Product Details
Format
Hardback
Publication date
2004
Publisher
Springer United States
Number of pages
208
Condition
New
Series
Undergraduate Texts in Mathematics
Number of Pages
198
Place of Publication
New York, NY, United States
ISBN
9780387214283
SKU
V9780387214283
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
About Antoine Chambert-Loir
Antoine Chambert-Loir is Professor at Université de Rennes 1.
Reviews for A Field Guide to Algebra
From the reviews: "This is a textbook for a second course in undergraduate abstract algebra. … Along the way, certain very interesting results are covered that are not often seen in books at this level … . includes numerous exercises which significantly extend material in the text." (William M. McGovern, SIAM Review, Vol. 47 (2), ... Read more