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The Boston Colloquium

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Softcover ISBN: 978-0-8218-4588-2
Product Code: COLL/1
List Price: $52.00 MAA Member Price:$46.80
AMS Member Price: $41.60 Electronic ISBN: 978-1-4704-3151-8 Product Code: COLL/1.E List Price:$49.00
MAA Member Price: $44.10 AMS Member Price:$39.20
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List Price: $78.00 MAA Member Price:$70.20
AMS Member Price: $62.40 Click above image for expanded view The Boston Colloquium Available Formats:  Softcover ISBN: 978-0-8218-4588-2 Product Code: COLL/1  List Price:$52.00 MAA Member Price: $46.80 AMS Member Price:$41.60
 Electronic ISBN: 978-1-4704-3151-8 Product Code: COLL/1.E
 List Price: $49.00 MAA Member Price:$44.10 AMS Member Price: $39.20 Bundle Print and Electronic Formats and Save! This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.  List Price:$78.00 MAA Member Price: $70.20 AMS Member Price:$62.40
• Book Details

Colloquium Publications
Volume: 11905; 188 pp
MSC: Primary 00; Secondary 14; 53; 40;

The 1903 colloquium of the American Mathematical Society was held as part of the summer meeting that took place in Boston. Three sets of lectures were presented: Linear Systems of Curves on Algebraic Surfaces, by H. S. White, Forms of Non-Euclidean Space, by F. S. Woods, and Selected Topics in the Theory of Divergent Series and of Continued Fractions, by Edward B. Van Vleck.

White's lectures are devoted to the theory of systems of curves on an algebraic surface, with particular reference to properties that are invariant under birational transformations and the kinds of surfaces that admit given systems.

Woods' lectures deal with the problem of the classification of three-dimensional Riemannian spaces of constant curvature. The author presents and discusses Riemann postulates characterizing manifolds of constant curvature, and explains in detail the results of Clifford, Klein, and Killing devoted to the local and global classification problems.

The subject of Van Vleck's lectures is the theory of divergent series. The author presents results of Poincaré, Stieltjes, E. Borel, and others about the foundations of this theory. In particular, he shows "how to determine the conditions under which a divergent series may be manipulated as the analytic representative of an unknown function, to develop the properties of the function, and to formulate methods of deriving a function uniquely from the series." In the concluding portion of these lectures, some results about continuous fractions of algebraic functions are presented.

Graduate students and research mathematicians interested in analysis.

• Chapters
• Linear systems of curves on algebraic surfaces
• Forms of non-Euclidean space
• Selected topics in the theory of divergent series and of continued fractions
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Volume: 11905; 188 pp
MSC: Primary 00; Secondary 14; 53; 40;

The 1903 colloquium of the American Mathematical Society was held as part of the summer meeting that took place in Boston. Three sets of lectures were presented: Linear Systems of Curves on Algebraic Surfaces, by H. S. White, Forms of Non-Euclidean Space, by F. S. Woods, and Selected Topics in the Theory of Divergent Series and of Continued Fractions, by Edward B. Van Vleck.

White's lectures are devoted to the theory of systems of curves on an algebraic surface, with particular reference to properties that are invariant under birational transformations and the kinds of surfaces that admit given systems.

Woods' lectures deal with the problem of the classification of three-dimensional Riemannian spaces of constant curvature. The author presents and discusses Riemann postulates characterizing manifolds of constant curvature, and explains in detail the results of Clifford, Klein, and Killing devoted to the local and global classification problems.

The subject of Van Vleck's lectures is the theory of divergent series. The author presents results of Poincaré, Stieltjes, E. Borel, and others about the foundations of this theory. In particular, he shows "how to determine the conditions under which a divergent series may be manipulated as the analytic representative of an unknown function, to develop the properties of the function, and to formulate methods of deriving a function uniquely from the series." In the concluding portion of these lectures, some results about continuous fractions of algebraic functions are presented.