JOLT 发表于 2025-3-21 17:11:07
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Groups and Group Homomorphisms,gross deception. The definition distills millennia of mathematical experience. Another theme also emerges: objects are not nearly so interesting in themselves as the relationships they bear to one another. In the case of groups, these relationships are expressed by group homomorphisms.逢迎白雪 发表于 2025-3-22 07:13:36
Representation of Linear Transformations,rix . the transformation.) In passing, we introduce the notion of a . a rich structure that is a hybrid of both vector space and ring. We show that the set of linear transformations from an .-dimensional vector space to itself is in fact isomorphic as a .-algebra to the familiar matrix algebra .(.).一回合 发表于 2025-3-22 08:45:11
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Determinants,ent of uniqueness and a surprising multiplicative property. Finally, from this multiplicativity one easily deduces that a square matrix is invertible if and only if its determinant is not zero.OWL 发表于 2025-3-22 17:37:05
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Textbook 1993 the student for further study of abstract mathematics. Uniquely among algebra texts at this level, it introduces group theory early in the discussion, as an example of the rigorous development of informal axiomatic systems.chalice 发表于 2025-3-23 03:40:54
0172-6056 d prepares the student for further study of abstract mathematics. Uniquely among algebra texts at this level, it introduces group theory early in the discussion, as an example of the rigorous development of informal axiomatic systems.978-1-4612-6940-3978-1-4612-0901-0Series ISSN 0172-6056 Series E-ISSN 2197-5604Enthralling 发表于 2025-3-23 08:34:32
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