An Algebraic and Geometric Viewpoint
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Complex Functions by Gareth A. Jones
Book DescriptionElliptic functions and Riemann surfaces played an important role in nineteenth-century mathematics. At the present time there is a great revival of interest in these topics not only for their own sake but also because of their applications to so many areas of mathematical research from group theory and number theory to topology and differential equations. In this book the authors give elementary accounts of many aspects of classical complex function theory including Mobius transformations, elliptic functions, Riemann surfaces, Fuchsian groups and modular functions. A distinctive feature of their presentation is the way in which they have incorporated into the text many interesting topics from other branches of mathematics. This book is based on lectures given to advanced undergraduates and is well-suited as a textbook for a second course in complex function theory. Professionals will also find it valuable as a straightforward introduction to a subject which is finding widespread application throughout mathematics.
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Book DetailsISBN: 9780521313667
(228mm x 152mm x 20mm)
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 19-Mar-1987
Country of Publication: United Kingdom
Books By Author Gareth A. Jones
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Elementary Number Theory, Paperback (January 1998)» View all books by Gareth A. Jones
Presents an introduction to number theory. This book uses elementary ideas about groups and rings to study groups of units, quadratic residues, and arithmetic functions. It also uses ideas from algebra, analysis, calculus, and geometry to study Dirichlet series and sums of squares.
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