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Item Details
| Title:
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BEYOND PERTURBATION
INTRODUCTION TO THE HOMOTOPY ANALYSIS METHOD |
| By: |
Shijun Liao |
| Format: |
Electronic book text |
| List price:
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£95.99 |
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We believe that this item is permanently unavailable, and so we cannot source
it.
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| ISBN 10: |
0203491165 |
| ISBN 13: |
9780203491164 |
| Publisher: |
TAYLOR & FRANCIS LTD |
| Pub. date: |
27 October, 2003 |
| Series: |
Modern Mechanics and Mathematics |
| Pages: |
336 |
| Synopsis: |
Solving nonlinear problems is inherently difficult, and the stronger the nonlinearity, the more intractable solutions become. Analytic approximations often break down as nonlinearity becomes strong, and even perturbation approximations are valid only for problems with weak nonlinearity.This book introduces a powerful new analytic method for nonlinear problems-homotopy analysis-that remains valid even with strong nonlinearity. In Part I, the author starts with a very simple example, then presents the basic ideas, detailed procedures, and the advantages (and limitations) of homotopy analysis. Part II illustrates the application of homotopy analysis to many interesting nonlinear problems. These range from simple bifurcations of a nonlinear boundary-value problem to the Thomas-Fermi atom model, Volterra's population model, Von Karman swirling viscous flow, and nonlinear progressive waves in deep water.Although the homotopy analysis method has been verified in a number of prestigious journals, it has yet to be fully detailed in book form. Written by a pioneer in its development, Beyond Pertubation: Introduction to the Homotopy Analysis Method is your first opportunity to explore the details of this valuable new approach, add it to your analytic toolbox, and perhaps make contributions to some of the questions that remain open. |
| Illustrations: |
1203 equations; 48 Tables, black and white; 67 Illustrations, black and white |
| Publication: |
UK |
| Imprint: |
Chapman and Hall |
| Returns: |
Non-returnable |
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Ramadan and Eid al-Fitr
A celebratory, inclusive and educational exploration of Ramadan and Eid al-Fitr for both children that celebrate and children who want to understand and appreciate their peers who do.
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