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This book provides interdisciplinary and integrative overview of mathematical modeling, making it a complete textbook for a wide audience. This book is aimed at newcomers who desires to learn mathematical modeling, especially students taking a first course in the subject.
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The informal approach of this introductory text stresses naturality and... Læs mere
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This is a version of Gevrey's classical treatise on the heat equations. Included in this volume are discussions of initial and/or boundary value problems, numerical methods, free boundary problems and parameter determination problems.
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The author of this 2000 volume proceeds from elementary facts about the linear case to recent results about positive solutions of... Læs mere
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Professor Pinsky gives a self-contained account of the theory of positive harmonic functions for second order elliptic operators, using an integrated probabilistic and analytic approach. A useful reference for the specialist, and an excellent guide for the graduate student.
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In 1993, Professor Oleinik was invited to give a series of lectures about her work in the area of partial differential equations. This book contains those lectures, and more.
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Originally published in 2000, this is the second volume of a... Læs mere
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This book treats the theory of global attractors, a recent development in the... Læs mere
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This book, first published in 2000, emphasizes the substantial role played by classical complex analysis in understanding holomorphic dynamics and gives an up-to-date coverage of... Læs mere
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Partial differential equations provide mathematical models of many important problems in the physical sciences and engineering. This book, first... Læs mere
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The Korteweg-de Vries (KdV), the AKNS, the nonlinear Schrödinger, the sine-Gordon and the Camassa-Holm... Læs mere
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In this volume, leading experts in the theoretical and applied aspects of inverse problems offer extended surveys on several important topics in modern inverse problems, such as microlocal analysis, reflection seismology, tomography, inverse scattering, and X-ray transforms.