Acquired
发表于 2025-3-27 00:16:22
Lindsay N. ChildsInformal and readable introduction to higher algebra.New sections on Luhn‘s formula, Cosets and equations, and detaching coefficients.Successful undergraduate text for more than 20 years
Heart-Attack
发表于 2025-3-27 04:47:44
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骨
发表于 2025-3-27 07:47:28
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漂浮
发表于 2025-3-27 12:46:45
Fazit: Klappe zu, Affe(kt) tot?,This chapter uses Bezout‘s identity and induction to prove the Fundamental Theorem of Arithmetic, that every natural number factors uniquely into a product of prime numbers. After exploring some initial consequences of the Fundamental Theorem, we introduce the study of prime numbers, a deep and fascinating area of number theory.
ineffectual
发表于 2025-3-27 16:04:33
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枪支
发表于 2025-3-27 20:16:51
https://doi.org/10.1007/978-3-476-05104-2The idea in this chapter is to use congruence to split up the set ℤ of integers into a finite collection of disjoint subsets, think of the subsets as objects, and then see if the arithmetic operations on ℤ can induce arithmetic operations on the new objects in a way that makes sense. To see how this might work, we first look at two examples.
思想灵活
发表于 2025-3-28 01:58:38
Kenneth T. Kishida,L. Paul SandsIn this chapter we introduce and apply to ℤ/.ℤ some of the most basic concepts of “abstract” algebra: the concepts of group, ring, field, and ring homomorphism.
一起
发表于 2025-3-28 03:12:09
Jonas Everaert,James J. Gross,Andero UusbergThe applications of Fermat‘s and Euler‘s Theorems in this chapter are to cryptography and to the study of large numbers.
减少
发表于 2025-3-28 08:31:16
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整洁
发表于 2025-3-28 11:34:18
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