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Author: Mark A. Tietjen Publisher: InterVarsity Press ISBN: 0830840974 Category : Religion Languages : en Pages : 176
Book Description
Søren Kierkegaard (1813-1855) had a mission—reintroduce the Christian faith to Christians. Mark Tietjen thinks that Kierkegaard's critique of his contemporaries strikes close to home today. Through an examination of core Christian doctrines, he helps us hear Kierkegaard's missionary message to a church that often fails to follow Christ with purity of heart.
Author: Mark A. Tietjen Publisher: InterVarsity Press ISBN: 0830840974 Category : Religion Languages : en Pages : 176
Book Description
Søren Kierkegaard (1813-1855) had a mission—reintroduce the Christian faith to Christians. Mark Tietjen thinks that Kierkegaard's critique of his contemporaries strikes close to home today. Through an examination of core Christian doctrines, he helps us hear Kierkegaard's missionary message to a church that often fails to follow Christ with purity of heart.
Author: Earl A. Coddington Publisher: Krieger Publishing Company ISBN: 9780898747553 Category : Mathematics Languages : en Pages : 429
Book Description
The prerequisite for the study of this book is a knowledge of matrices and the essentials of functions of a complex variable. It has been developed from courses given by the authors and probably contains more material than will ordinarily be covered in a one-year course. It is hoped that the book will be a useful text in the application of differential equations as well as for the pure mathematician.
Author: C. Pozrikidis Publisher: CRC Press ISBN: 1315359936 Category : Mathematics Languages : en Pages : 396
Book Description
The fractional Laplacian, also called the Riesz fractional derivative, describes an unusual diffusion process associated with random excursions. The Fractional Laplacian explores applications of the fractional Laplacian in science, engineering, and other areas where long-range interactions and conceptual or physical particle jumps resulting in an irregular diffusive or conductive flux are encountered. Presents the material at a level suitable for a broad audience of scientists and engineers with rudimentary background in ordinary differential equations and integral calculus Clarifies the concept of the fractional Laplacian for functions in one, two, three, or an arbitrary number of dimensions defined over the entire space, satisfying periodicity conditions, or restricted to a finite domain Covers physical and mathematical concepts as well as detailed mathematical derivations Develops a numerical framework for solving differential equations involving the fractional Laplacian and presents specific algorithms accompanied by numerical results in one, two, and three dimensions Discusses viscous flow and physical examples from scientific and engineering disciplines Written by a prolific author well known for his contributions in fluid mechanics, biomechanics, applied mathematics, scientific computing, and computer science, the book emphasizes fundamental ideas and practical numerical computation. It includes original material and novel numerical methods.
Author: Andrei Giniatoulline Publisher: Universidad de los Andes ISBN: 9586955982 Category : Mathematics Languages : es Pages : 275
Book Description
En la mayoría de modelos matemáticos de los diferentes fenómenos de la naturaleza y la sociedad surgen ecuaciones diferenciales en las cuales la función incógnita depende de varias variables. Naturalmente, estas ecuaciones comprenden ecuaciones diferenciales en derivadas parciales, que tienen un gran espectro de aplicaciones. Al desarrollo de ellas han aportado todas las ramas de la matemática moderna tales como el cálculo, el álgebra, la geometría, el análisis funcional, la topología, la teoría de variable compleja y, esencialmente, la teoría de los espacios funcionales de dimensión infinita. Como casi todos los procesos físicos se describen por medio de ecuaciones diferenciales en derivadas parciales, tales ecuaciones se llaman frecuentemente ecuaciones de la Física Matemática. Observemos que las ecuaciones diferenciales parciales describen también fenómenos químicos, biológicos, económicos y otros. Este curso tiene como objetivo la presentación teórica de las ecuaciones básicas de la física matemática como las ecuaciones de Lagrange, Poisson y las de transmisión de calor y de onda; la deducción de las propiedades cualitativas de sus soluciones por el método de la transformada de Fourier, e igualmente el concepto de una solución generalizada en el sentido de los espacios de Sobolev. Se introduce el concepto de una solución generalizada y se discuten sus aplicaciones en varios problemas de contorno para la ecuación de Poisson que es una de las ecuaciones más importantes de la Física Matemática.
Author: Luis Angel Caffarelli Publisher: Edizioni della Normale ISBN: 9788876422492 Category : Mathematics Languages : en Pages : 0
Book Description
The material presented here corresponds to Fermi lectures that I was invited to deliver at the Scuola Normale di Pisa in the spring of 1998. The obstacle problem consists in studying the properties of minimizers of the Dirichlet integral in a domain D of Rn, among all those configurations u with prescribed boundary values and costrained to remain in D above a prescribed obstacle F. In the Hilbert space H1(D) of all those functions with square integrable gradient, we consider the closed convex set K of functions u with fixed boundary value and which are greater than F in D. There is a unique point in K minimizing the Dirichlet integral. That is called the solution to the obstacle problem.
Author: A. Iserles Publisher: Cambridge University Press ISBN: 0521734908 Category : Mathematics Languages : en Pages : 481
Book Description
lead the reader to a theoretical understanding of the subject without neglecting its practical aspects. The outcome is a textbook that is mathematically honest and rigorous and provides its target audience with a wide range of skills in both ordinary and partial differential equations." --Book Jacket.
Author: Jose Manuel Vega Publisher: Academic Press ISBN: 0128227664 Category : Technology & Engineering Languages : en Pages : 322
Book Description
Higher Order Dynamic Mode Decomposition and Its Applications provides detailed background theory, as well as several fully explained applications from a range of industrial contexts to help readers understand and use this innovative algorithm. Data-driven modelling of complex systems is a rapidly evolving field, which has applications in domains including engineering, medical, biological, and physical sciences, where it is providing ground-breaking insights into complex systems that exhibit rich multi-scale phenomena in both time and space. Starting with an introductory summary of established order reduction techniques like POD, DEIM, Koopman, and DMD, this book proceeds to provide a detailed explanation of higher order DMD, and to explain its advantages over other methods. Technical details of how the HODMD can be applied to a range of industrial problems will help the reader decide how to use the method in the most appropriate way, along with example MATLAB codes and advice on how to analyse and present results. - Includes instructions for the implementation of the HODMD, MATLAB codes, and extended discussions of the algorithm - Includes descriptions of other order reduction techniques, and compares their strengths and weaknesses - Provides examples of applications involving complex flow fields, in contexts including aerospace engineering, geophysical flows, and wind turbine design
Author: David Nualart Publisher: American Mathematical Soc. ISBN: 0821847791 Category : Mathematics Languages : en Pages : 99
Book Description
The Malliavin calculus was developed to provide a probabilistic proof of Hormander's hypoellipticity theorem. The theory has expanded to encompass other significant applications. The main application of the Malliavin calculus is to establish the regularity of the probability distribution of functionals of an underlying Gaussian process. In this way, one can prove the existence and smoothness of the density for solutions of various stochastic differential equations. More recently, applications of the Malliavin calculus in areas such as stochastic calculus for fractional Brownian motion, central limit theorems for multiple stochastic integrals, and mathematical finance have emerged. The first part of the book covers the basic results of the Malliavin calculus. The middle part establishes the existence and smoothness results that then lead to the proof of Hormander's hypoellipticity theorem. The last part discusses the recent developments for Brownian motion, central limit theorems, and mathematical finance.
Author: Mark A. Tietjen
Author: Mark A. Tietjen
Author: 
Author: Earl A. Coddington
Author: C. Pozrikidis
Author: Andrei Giniatoulline
Author: Luis Angel Caffarelli
Author: A. Iserles
Author: Jose Manuel Vega
Author: David Nualart
Author: