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Titlebook: A History of Abstract Algebra; From Algebraic Equat Jeremy Gray Textbook 2018 Springer Nature Switzerland AG 2018 MSC (2010): 01A55, 01A60,

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期刊全称A History of Abstract Algebra
期刊简称From Algebraic Equat
影响因子2023Jeremy Gray
视频video
发行地址Provides a wide-ranging and up-to-date account on the history of abstract algebra.Covers topics from number theory (especially quadratic forms) and Galois theory as far as the origins of the abstract
学科分类Springer Undergraduate Mathematics Series
图书封面Titlebook: A History of Abstract Algebra; From Algebraic Equat Jeremy Gray Textbook 2018 Springer Nature Switzerland AG 2018 MSC (2010): 01A55, 01A60,
影响因子.This textbook provides an accessible account of the history of abstract algebra, tracing a range of topics in modern algebra and number theory back to their modest presence in the seventeenth and eighteenth centuries, and exploring the impact of ideas on the development of the subject..Beginning with Gauss’s theory of numbers and Galois’s ideas, the book progresses to Dedekind and Kronecker, Jordan and Klein, Steinitz, Hilbert, and Emmy Noether. Approaching mathematical topics from a historical perspective, the author explores quadratic forms, quadratic reciprocity, Fermat’s Last Theorem, cyclotomy, quintic equations, Galois theory, commutative rings, abstract fields, ideal theory, invariant theory, and group theory. Readers will learn what Galois accomplished, how difficult the proofs of his theorems were, and how important Camille Jordan and Felix Klein were in the eventual acceptance of Galois’s approach to the solution of equations. The book also describes the relationshipbetween Kummer’s ideal numbers and Dedekind’s ideals, and discusses why Dedekind felt his solution to the divisor problem was better than Kummer’s. ..Designed for a course in the history of modern algebra, th
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Simple Quadratic Forms,ernandez and Ham 2007), out of which, African marigold (. L.) and French marigold (. L.) are of commercial importance while . (wild marigold) is rich in essential oils. It is the choicest crops among growers because of its wider adaptability to varied agro climatic conditions, short duration habit,
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,Gauss’s ,,trol devices, as well as providing a comprehensive practical guide in their applications.  It first discusses the morphology of the humpback whale flipper from a biological perspective, before presenting detailed experimental and numerical findings from past investigations by various experts on the
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,Dirichlet’s , on Quadratic Forms,ng cells, irrespective of whether the protein is to be secreted, membrane-bound or localized in the cytoplasm. For cytoplasmatic or nuclear proteins this is the only way to analyse them by flow cytometry. Unfortunately, to date no method is known for cytoplasmatic immunofluorescence of live cells. B
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Is the Quintic Unsolvable?,could be achieved by sorting positive and negative populations of the cells of interest, dissociating and washing out the first reagent, and then staining the two populations with another antibody reagent labeled with the same fluorophor for subsequent analysis. However, this approach is rarely take
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The Unsolvability of the Quintic,e is relatively little information on how best to perform data analysis, a critical step in FCM testing. In Flow Cytometry in Hematopathology: A Visual Approach to Data Analysis and Interpretation, three physicians highly experienced in laboratory hematopathology and FCM offer a unique systematic ap
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After Galois,on the subjective perception of environmental opportunities for action (challenges) and of the personal capabilities possessed to cope with them (skills). The different patterns of relationship between these two variables were operationalized through the Experience Fluctuation Model, leading to the
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