標(biāo)題: Titlebook: Basic Algebra; Anthony W. Knapp Textbook 2006 Birkh?user Boston 2006 Group theory.Matrix.Multilinear Algebra.Vector space.algebra.linear a [打印本頁] 作者: 變成小松鼠 時間: 2025-3-21 18:02
書目名稱Basic Algebra影響因子(影響力)
書目名稱Basic Algebra影響因子(影響力)學(xué)科排名
書目名稱Basic Algebra網(wǎng)絡(luò)公開度
書目名稱Basic Algebra網(wǎng)絡(luò)公開度學(xué)科排名
書目名稱Basic Algebra被引頻次
書目名稱Basic Algebra被引頻次學(xué)科排名
書目名稱Basic Algebra年度引用
書目名稱Basic Algebra年度引用學(xué)科排名
書目名稱Basic Algebra讀者反饋
書目名稱Basic Algebra讀者反饋學(xué)科排名
作者: 共同生活 時間: 2025-3-21 21:19
,Vector Spaces over ?, ?, and ?,up constructions of new vector spaces out of old ones, together with corresponding constructions for linear maps. The four constructions of vector spaces in these sections are those of the dual of a vector space, the quotient of two vector spaces, and the direct sum and direct product of two or more作者: Harbor 時間: 2025-3-22 02:58 作者: entice 時間: 2025-3-22 05:00 作者: Amendment 時間: 2025-3-22 12:28 作者: 樣式 時間: 2025-3-22 15:39
Multilinear Algebra,t leave some particular bilinear and Hermitian forms invariant..Section 6 introduces the tensor product of two vector spaces, working with it in a way that does not depend on a choice of basis. The tensor product has a universal mapping property—that bilinear functions on the product of the two vect作者: 顯微鏡 時間: 2025-3-22 20:02 作者: hypotension 時間: 2025-3-22 22:59
Commutative Rings and Their Modules, with unique factorization, then so is the polynomial ring .[.]. This result is a consequence of Gauss’s Lemma, which addresses what happens to the greatest common divisor of the coefficients when one multiplies two members of .[.]. Gauss’s Lemma has several other consequences that relate factorizat作者: 小溪 時間: 2025-3-23 03:48
Fields and Galois Theory,s..Section 3 classifies finite fields. For each integer . that is a power of some prime number, there exists one and only one finite field of order ., up to isomorphism. One finite field is an extension of another, apart from isomorphisms, if and only if the order of the first field is a power of th作者: 泛濫 時間: 2025-3-23 08:00
Modules over Noncommutative Rings,a composition series if and only if it satisfies both the ascending chain condition and the descending chain condition for its submodules..Sections 4–6 concern the Hom and tensor product functors. Section 4 regards Hom.(.), where . and . are unital left . modules, as a contravariant functor of the .作者: 闖入 時間: 2025-3-23 13:38
2197-182X .Advanced Algebra .at the graduate level. It requires of the reader only familiarity with matrix algebra, an understanding of the geometry and reduction of linear equations, and an acquaintance with proofs..978-0-8176-4529-8Series ISSN 2197-182X Series E-ISSN 2197-1838 作者: 多余 時間: 2025-3-23 14:41 作者: 文藝 時間: 2025-3-23 18:03 作者: phase-2-enzyme 時間: 2025-3-23 22:22
Nietzsche’s Existential Imperativesis of eigenvectors. The Spectral Theorem has several important consequences, one of which is the existence of a unique positive semidefinite square root for any positive semidefinite linear map. The section concludes with the polar decomposition, showing that any linear map factors as the product o作者: temperate 時間: 2025-3-24 03:00 作者: 六個才偏離 時間: 2025-3-24 08:53 作者: synchronous 時間: 2025-3-24 13:44 作者: negligence 時間: 2025-3-24 18:45
https://doi.org/10.1007/978-94-017-4879-7 and relations. Computations with free groups are aided by the fact that two reduced words yield the same element of a free group if and only if the reduced words are identical. Section 2 obtains the Nielsen-Schreier Theorem that subgroups of free groups are free. Section 3 enlarges the construction作者: SPECT 時間: 2025-3-24 19:09 作者: Collision 時間: 2025-3-25 01:22
https://doi.org/10.1007/BFb0057505s..Section 3 classifies finite fields. For each integer . that is a power of some prime number, there exists one and only one finite field of order ., up to isomorphism. One finite field is an extension of another, apart from isomorphisms, if and only if the order of the first field is a power of th作者: 小淡水魚 時間: 2025-3-25 06:10 作者: implore 時間: 2025-3-25 08:25 作者: 致詞 時間: 2025-3-25 12:09 作者: Ceremony 時間: 2025-3-25 15:50
,Vector Spaces over ?, ?, and ?,s well as various properties of determinants..Sections 1–2 define vector spaces, spanning, linear independence, bases, and dimension. The sections make use of row reduction to establish dimension formulas for certain vector spaces associated with matrices. They conclude by stressing methods of calcu作者: Graves’-disease 時間: 2025-3-25 23:56
Inner-Product Spaces,tion 1 concerns the effect on the vector space itself, defining inner products and their corresponding norms and giving a number of examples and formulas for the computation of norms. Vector-space bases that are orthonormal play a special role..Section 2 concerns the effect on linear maps. The inner作者: beta-carotene 時間: 2025-3-26 01:22 作者: bisphosphonate 時間: 2025-3-26 07:23 作者: filial 時間: 2025-3-26 12:15 作者: 逃避責(zé)任 時間: 2025-3-26 16:19
Advanced Group Theory,theory for finite groups, and group extensions. Representation theory uses linear algebra and inner-product spaces in an essential way, and a structure-theory theorem for finite groups is obtained as a consequence. Group extensions introduce the subject of cohomology of groups..Sections 1–3 concern 作者: Brochure 時間: 2025-3-26 17:04 作者: aviator 時間: 2025-3-26 21:48
Fields and Galois Theory,strates by example the power and usefulness of the theory of Galois groups. Prerequisite material from Chapter VIII consists of Sections 1–6 for Sections 1–13 of the present chapter, and it consists of all of Chapter VIII for Sections 14–17 of the present chapter..Sections 1–2 introduce field extens作者: Fecundity 時間: 2025-3-27 04:22
Modules over Noncommutative Rings, and the second set concerns the Hom and tensor product functors..Sections 1–3 concern finiteness conditions on modules. Section 1 deals with simple and semisimple modules. A simple module over a ring is a nonzero unital module with no proper nonzero submodules, and a semisimple module is a module g作者: 暗指 時間: 2025-3-27 09:00
Textbook 2006lied, aspiring or established. Together, the two books give the reader a global view of algebra and its role in mathematics as a whole...The exposition proceeds from the particular to the general, often providing examples well before a theory that incorporates them. The presentation includes blocks 作者: GEM 時間: 2025-3-27 12:33 作者: Nostalgia 時間: 2025-3-27 13:55 作者: blister 時間: 2025-3-27 21:34 作者: atopic-rhinitis 時間: 2025-3-27 23:34 作者: 并置 時間: 2025-3-28 03:30 作者: vitreous-humor 時間: 2025-3-28 07:07 作者: regale 時間: 2025-3-28 10:32
Nietzsche’s Existential Imperativections, and algebras related to tensor products..Sections 1–5 concern special properties of bilinear forms, all vector spaces being assumed to be finite-dimensional. Section 1 associates a matrix to each bilinear form in the presence of an ordered basis, and the section shows the effect on the matri作者: Pulmonary-Veins 時間: 2025-3-28 18:16 作者: Spartan 時間: 2025-3-28 21:29
Nietzsche’s Existential Imperativeof unique factorization..Section 1 gives many examples of rings, some commutative and some noncommutative, and introduces the notion of a module for a ring..Sections 2–4 discuss some of the tools related to questions of factorization in integral domains. Section 2 defines the field of fractions for 作者: Favorable 時間: 2025-3-29 02:20
https://doi.org/10.1007/BFb0057505strates by example the power and usefulness of the theory of Galois groups. Prerequisite material from Chapter VIII consists of Sections 1–6 for Sections 1–13 of the present chapter, and it consists of all of Chapter VIII for Sections 14–17 of the present chapter..Sections 1–2 introduce field extens作者: 難解 時間: 2025-3-29 03:37
K. Binder,D. W. Heermann,A. Milchev,A. Sadiq and the second set concerns the Hom and tensor product functors..Sections 1–3 concern finiteness conditions on modules. Section 1 deals with simple and semisimple modules. A simple module over a ring is a nonzero unital module with no proper nonzero submodules, and a semisimple module is a module g
