The Madison Colloquium is popular PDF and ePub book, written by Leonard Eugene Dickson in 1914-12-31, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, The Madison Colloquium can be Read Online from any device for your convenience.
The Madison Colloquium Book PDF Summary
Following the tradition of the American Mathematical Society, the seventh colloquium of the Society was held as part of the summer meeting that took place at the University of Wisconsin, in Madison. Two sets of lectures were presented: On Invariants and the Theory of Numbers, by L. E. Dickson, and Functions of Several Complex Variables, by W. F. Osgood. Dickson considers invariants of quadratic forms, with a special emphasis on invariants of forms defined in characteristic $p$, also called modular invariants, which have number-theoretic consequences. He is able to find a fundamental set of invariants for both settings. For binary forms, Dickson introduces semi-invariants in the modular case, and again finds a fundamental set. These studies naturally lead to the important study of invariants of the standard action of the modular group. The lectures conclude with a study of ``modular geometry'', which is now known as geometry over $\mathbf{F}_p$. The lectures by Osgood review the state of the art of several complex variables. At this time, the theory was entirely function-theoretic. Already, though, Osgood can introduce the ideas and theorems that will be fundamental to the subject for the rest of the century: Weierstrass preparation, periodic functions and theta functions, singularities--including Hartogs' phenomenon, the boundary of a domain of holomorphy, and so on.
Detail Book of The Madison Colloquium PDF
- Author : Leonard Eugene Dickson
- Release : 31 December 1914
- Publisher : American Mathematical Soc.
- ISBN : 9780821845981
- Genre : Mathematics
- Total Page : 252 pages
- Language : English
- PDF File Size : 20,6 Mb
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