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Author: Herman Chernoff Publisher: SIAM ISBN: 9781611970593 Category : Technology & Engineering Languages : en Pages : 124
Book Description
An exploration of the interrelated fields of design of experiments and sequential analysis with emphasis on the nature of theoretical statistics and how this relates to the philosophy and practice of statistics.
Author: Herman Chernoff Publisher: SIAM ISBN: 9781611970593 Category : Technology & Engineering Languages : en Pages : 124
Book Description
An exploration of the interrelated fields of design of experiments and sequential analysis with emphasis on the nature of theoretical statistics and how this relates to the philosophy and practice of statistics.
Author: Alain Miranville Publisher: SIAM ISBN: 1611975921 Category : Mathematics Languages : en Pages : 231
Book Description
This is the first book to present a detailed discussion of both classical and recent results on the popular CahnHilliard equation and some of its variants. The focus is on mathematical analysis of CahnHilliard models, with an emphasis on thermodynamically relevant logarithmic nonlinear terms, for which several questions are still open. Initially proposed in view of applications to materials science, the CahnHilliard equation is now applied in many other areas, including image processing, biology, ecology, astronomy, and chemistry. In particular, the author addresses applications to image inpainting and tumor growth. Many chapters include open problems and directions for future research. The Cahn-Hilliard Equation: Recent Advances and Applications is intended for graduate students and researchers in applied mathematics, especially those interested in phase separation models and their generalizations and applications to other fields. Materials scientists also will find this text of interest.
Author: Peter D. Lax Publisher: SIAM ISBN: 0898711770 Category : Technology & Engineering Languages : en Pages : 55
Book Description
This book deals with the mathematical side of the theory of shock waves. The author presents what is known about the existence and uniqueness of generalized solutions of the initial value problem subject to the entropy conditions. The subtle dissipation introduced by the entropy condition is investigated and the slow decay in signal strength it causes is shown.
Author: J. P. LaSalle Publisher: SIAM ISBN: 9781611970432 Category : Difference equations Languages : en Pages : 81
Book Description
An introduction to aspects of the theory of dynamial systems based on extensions of Liapunov's direct method. The main ideas and structure for the theory are presented for difference equations and for the analogous theory for ordinary differential equations and retarded functional differential equations. The latest results on invariance properties for non-autonomous time-varying systems processes are presented for difference and differential equations.
Author: Adrian Constantin Publisher: SIAM ISBN: 1611971861 Category : Mathematics Languages : en Pages : 325
Book Description
This overview of some of the main results and recent developments in nonlinear water waves presents fundamental aspects of the field and discusses several important topics of current research interest. It contains selected information about water-wave motion for which advanced mathematical study can be pursued, enabling readers to derive conclusions that explain observed phenomena to the greatest extent possible. The author discusses the underlying physical factors of such waves and explores the physical relevance of the mathematical results that are presented. The book is intended for mathematicians, physicists and engineers interested in the interplay between physical concepts and insights and the mathematical ideas and methods that are relevant to specific water-wave phenomena. The material is an expanded version of the author's lectures delivered at the NSF-CBMS Regional Research Conference in the Mathematical Sciences organized by the Mathematics Department of the University of Texas-Pan American in 2010.
Author: Peter Kuchment Publisher: SIAM ISBN: 1611973287 Category : Computers Languages : en Pages : 238
Book Description
This book surveys the main mathematical ideas and techniques behind some well-established imaging modalities such as X-ray CT and emission tomography, as well as a variety of newly developing coupled-physics or hybrid techniques, including thermoacoustic tomography. The Radon Transform and Medical Imaging emphasizes mathematical techniques and ideas arising across the spectrum of medical imaging modalities and explains important concepts concerning inversion, stability, incomplete data effects, the role of interior information, and other issues critical to all medical imaging methods. For nonexperts, the author provides appendices that cover background information on notation, Fourier analysis, geometric rays, and linear operators. The vast bibliography, with over 825 entries, directs readers to a wide array of additional information sources on medical imaging for further study.
Author: Fioralba Cakoni Publisher: SIAM ISBN: 0898719399 Category : Mathematics Languages : en Pages : 146
Book Description
A complete description of the linear sampling method for electromagnetic waves, important for those researching inverse electromagnetic scattering theory.
Author: Herman Chernoff
Author: Herman Chernoff
Author: Alain Miranville
Author: Miklos Csorgo
Author: Peter D. Lax
Author: J. P. LaSalle
Author: Adrian Constantin
Author: Peter Kuchment
Author: Fred Brauer
Author: Margaret Cheney
Author: Fioralba Cakoni