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Item Details
| Title:
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ANALYSIS III
ANALYTIC AND DIFFERENTIAL FUNCTIONS, MANIFOLDS AND RIEMANN SURFACES |
| By: |
Roger Godement, Urmie Ray (Trans) |
| Format: |
Paperback |
| List price:
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£54.99 |
| Our price: |
£46.74 |
| Discount: |
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| You save:
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£8.25 |
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| ISBN 10: |
3319160524 |
| ISBN 13: |
9783319160528 |
| Availability: |
Usually dispatched within 1-3 weeks.
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| Stock: |
Currently 0 available |
| Publisher: |
SPRINGER INTERNATIONAL PUBLISHING AG |
| Pub. date: |
5 April, 2015 |
| Edition: |
2015 ed. |
| Series: |
Universitext |
| Pages: |
321 |
| Translated from: |
French |
| Synopsis: |
Volume III sets out classical Cauchy theory. It is much more geared towards its innumerable applications than towards a more or less complete theory of analytic functions. Cauchy-type curvilinear integrals are then shown to generalize to any number of real variables (differential forms, Stokes-type formulas). The fundamentals of the theory of manifolds are then presented, mainly to provide the reader with a "canonical" language and with some important theorems (change of variables in integration, differential equations). A final chapter shows how these theorems can be used to construct the compact Riemann surface of an algebraic function, a subject that is rarely addressed in the general literature though it only requires elementary techniques. Besides the Lebesgue integral, Volume IV will set out a piece of specialized mathematics towards which the entire content of the previous volumes will converge: Jacobi, Riemann, Dedekind series and infinite products, elliptic functions, classical theory of modular functions and its modern version using the structure of the Lie algebra of SL(2,R). |
| Illustrations: |
25 black & white illustrations, biography |
| Publication: |
Switzerland |
| Imprint: |
Springer International Publishing AG |
| Returns: |
Returnable |
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