A First Course in Abstract Algebra
Seiten
1995
Pearson (Verlag)
978-0-13-311374-7 (ISBN)
Pearson (Verlag)
978-0-13-311374-7 (ISBN)
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Written as only Professor Rotman can pull off: spectacularly clear yet rigorous without condescension. This introduction to abstract algebra is designed to make the study of all required topics and the reading and writing of proofs both accessible and enjoyable for students encountering the subject for the first time.
Preface. 1. Number Theory. Induction. Binomial Coefficients. Greatest Common Divisors. The Fundamental Theorem of Arithmetic. Congruences. Dates and Days. 2. Groups. Functions. Permutations. Groups. Lagrange's Theorem. Geometry. Homomorphisms. Quotient Groups. Counting with Groups. Groups of Small Order. 3. Commutative Rings. Elementary Properties. Fields. Polynomials. Greatest Common Divisors. Factorization. Homomorphisms. Irreducibility. Quotient Rings and Finite Fields. Officers, Fertilizer, and a Line at Infinity. 4. Goodies. Vector Spaces. Euclidean Constructions. Classical Formulas. Insolvability of the General Quintic. Bibliography. Index.
| Erscheint lt. Verlag | 5.12.1995 |
|---|---|
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Gewicht | 545 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Algebra |
| ISBN-10 | 0-13-311374-4 / 0133113744 |
| ISBN-13 | 978-0-13-311374-7 / 9780133113747 |
| Zustand | Neuware |
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