解析学や幾何学などにも代数的な考え方が浸透し、数学における共通言語のような役割を果たす代数学。数学パズル「サークル・ナンプレ」の発案者、ピーター・ヒギンズが、方程式と不等式の美しさを明らかにすべく、理論や例を用いて代数を支配する法則を解説します。論理的組立ての10章で、学校時代に学んだ数学の先に広がる世界へ読者を誘います。
Algebra marked the beginning of modern mathematics, moving it beyond arithmetic, which involves calculations featuring given numbers, to problems where some quantities are unknown. Now, it stands as a pillar of mathematics, underpinning the quantitative sciences, both social and physical.
This Very Short Introduction explains algebra from scratch. Over the course of ten logical chapters, Higgins offers a step by step approach for readers keen on developing their understanding of algebra. Using theory and example, he renews the reader's aquaintance with school mathematics, before taking them progressively further and deeper into the subject.
1: Numbers and algebra
2: The laws of algebra
3: Linear equations and inequalities
4: Quadratic equations
5: The algebra of polynomials
6: Introduction to matrices
7: Matrices and groups
8: Determinants and matrices
9: Algebra and the arithmetic of remainders
10: Vector spaces
Further Reading
Index
ISBN : 9780198732822
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