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Titlebook: Algebraic Theory of Quadratic Numbers; Mak Trifkovi? Textbook 2013 Springer Science+Business Media New York 2013 ideal class group.number

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發(fā)表于 2025-3-21 19:48:22 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
期刊全稱Algebraic Theory of Quadratic Numbers
影響因子2023Mak Trifkovi?
視頻videohttp://file.papertrans.cn/153/152717/152717.mp4
發(fā)行地址Offers an accessible introduction to number theory by focusing on quadratic numbers.Includes many exercises that provide students with hands-on computational experience with quadratic number fields.Pr
學(xué)科分類Universitext
圖書封面Titlebook: Algebraic Theory of Quadratic Numbers;  Mak Trifkovi? Textbook 2013 Springer Science+Business Media New York 2013 ideal class group.number
影響因子.By focusing on quadratic numbers, this advanced undergraduate or master’s level textbook on algebraic number theory is accessible even to students who have yet to learn Galois theory. The techniques of elementary arithmetic, ring theory and linear algebra are shown working together to prove important theorems, such as the unique factorization of ideals and the finiteness of the ideal class group.? The book concludes with two topics particular to quadratic fields: continued fractions and quadratic forms.? The treatment of quadratic forms is somewhat more advanced? than usual, with an emphasis on their connection with ideal classes and a discussion of Bhargava cubes..The numerous exercises in the text offer the reader hands-on computational experience with elements and ideals in quadratic number fields.? The reader is also asked to fill in the details of proofs and develop extra topics, like the theory of orders.? Prerequisites include elementary number theory and a basic familiarity with ring theory..
Pindex Textbook 2013
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Degeneracy Graphs and Simplex Cyclingd explore them with the tools of linear algebra. For this we’ll need a simple bit of terminology. Let . be a complex vector space and . any subring of .. A linear combination . with coefficients .. ∈ . is said to be ., or .. Similar terminology applies to other linear algebra constructs: we talk of
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https://doi.org/10.1007/978-1-4614-7717-4ideal class group; number theory; quadratic forms; ring theory
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Basic Technique of Total Knee ArthroplastyWhen can we express a prime number as a sum of two squares? Let’s start by sorting the first dozen primes into those with such an expression, and the rest: . Do you see a pattern?
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Basic Technique of Total Knee ArthroplastyIn . we can add, subtract, and multiply without restrictions, but we can’t always divide. That is what makes questions of divisibility and factorization interesting. To do arithmetic in more general number systems, we abstract these basic properties of . to get the definition of a ring.
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