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pro vyhledávání: '"Larry J. Gerstein"'
Autor:
Larry J. Gerstein
Publikováno v:
Linear Algebra and its Applications. 585:60-70
The structure of an undirected graph is completely determined by a symmetric matrix: its adjacency matrix with respect to an ordering of its vertices; and that matrix can be used to define an integral quadratic form. The main purpose of this paper is
Autor:
Larry J. Gerstein
Publikováno v:
Mathematics Magazine. 78:205-213
Linear algebra over rings particularly over Z—is a fascinating topic that straddles course boundaries and can help bridge the present unnecessary gap between introductions to algebra and number theory. Moreover, a brief introduction to integral lin
Autor:
Larry J. Gerstein
Publikováno v:
Algebraic and Arithmetic Theory of Quadratic Forms. :129-134
Autor:
Larry J. Gerstein
This is a textbook for a one-term course whose goal is to ease the transition from lower-division calculus courses to upper-division courses in linear and abstract algebra, real and complex analysis, number theory, topology, combinatorics, and so on.
Autor:
Larry J. Gerstein
Publikováno v:
Journal of Algebra. 268:252-263
Let R be a principal ideal domain with quotient field F . An R - lattice is a free R -module of finite rank spanning an inner product space over F . The classification problem asks for a reasonably effective set of criteria to determine when two give
Autor:
Larry J. Gerstein
Publikováno v:
Acta Arithmetica. 96:89-95
Autor:
Larry J. Gerstein
Publikováno v:
Linear and Multilinear Algebra. 52:381-383
Characteristic elements have been useful in the classification of unimodular lattices over the integers. This article gives an explicit formula for characteristic elements of a lattice in terms of a basis for the lattice and the dual of that basis.
Autor:
Larry J. Gerstein
Publikováno v:
Introduction to Mathematical Structures and Proofs ISBN: 9781461442646
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b28ca677200268ba242e6953990844ed
https://doi.org/10.1007/978-1-4614-4265-3_7
https://doi.org/10.1007/978-1-4614-4265-3_7
Autor:
Larry J. Gerstein
Publikováno v:
Introduction to Mathematical Structures and Proofs ISBN: 9781461442646
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6799d7b1c8bb4d14d28927a2a25aa4c6
https://doi.org/10.1007/978-1-4614-4265-3_2
https://doi.org/10.1007/978-1-4614-4265-3_2
Autor:
Larry J. Gerstein
Publikováno v:
Introduction to Mathematical Structures and Proofs ISBN: 9781461442646
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2d7c797d45d675ed78470152698946d5
https://doi.org/10.1007/978-1-4614-4265-3_3
https://doi.org/10.1007/978-1-4614-4265-3_3