An Introduction to Partial Differential Equations (with Maple)

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The book is designed for undergraduate or beginning level graduate students, and students from interdisciplinary areas including engineers, and others who need to use partial differential equations, Fourier series, Fourier and Laplace transforms. The prerequisite is a basic knowledge of calculus, linear algebra, and ordinary differential equations. The textbook aims to be practical, elementary, and reasonably rigorous; the book is concise in that it describes fundamental solution techniques for first order, second order, linear partial differential equations for general solutions, fundamental solutions, solution to Cauchy (initial value) problems, and boundary value problems for different PDEs in one and two dimensions, and different coordinates systems. Analytic solutions to boundary value problems are based on Sturm–Liouville eigenvalue problems and series solutions. The book is accompanied with enough well tested Maple files and some Matlab codes that are available online. The use of Maple makes the complicated series solution simple, interactive, and visible. These features distinguish the book from other textbooks available in the related area. Sample Chapter(s) Preface Chapter 1: Introduction Chapter 2: First order partial differential equations Request Inspection Copy Contents: Preface Introduction First Order Partial Differential Equations Solution to One-Dimensional Wave Equations Orthogonal Functions & Expansions, and Sturm-Liouville Theory Method of Separation Variables for Solving PDE BVPs in Cartesian Coordinates Various Fourier Series, Properties and Convergence Series Solutions of PDEs of Boundary Value Problems Fourier and Laplace Transforms Numerical Solution Techniques Appendices A: ODE Review and Other Useful Information Appendices B: Introduction to Maple Bibliography Index Readership: Undergraduate, beginning level mathematics/physics graduate students, students from interdisciplinary areas and engineering.

An Introduction to Nonlinear Partial Differential Equations 2/ e 2008 (JW) 978-0-470-22596-0 2/E 2008 <JW> (2版)

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書名: An Introduction to Nonlinear Partial Differential Equations 作者: J.D.LOGAN 版次: 2/E 出版日期: 2008年1月 ISBN: 9780470225950 出版社: Wiley

Epidemiology Kept Simple - An Introduction To Traditional And Modern Epidemiology 3E (3版)

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【簡介】 Epidemiology Kept Simple introduces the epidemiological principles and methods that are increasingly important in the practice of medicine and public health. With minimum use of technical language it fully explains terminology, concepts, and techniques associated with traditional and modern epidemiology. Topics include disease causality, epidemiologic measures, descriptive epidemiology, study design, clinical and primary prevention trials, observational cohort studies, case-control studies, and the consideration of random and systematic error in studies of causal factors. Chapters on the infectious disease process, outbreak investigation, and screening for disease are also included. The latter chapters introduce more advanced biostatistical and epidemiologic techniques, such as survival analysis, Mantel-Haenszel techniques, and tests for interaction.This third edition addresses all the requirements of the American Schools of Public Health (ASPH) Epidemiological Competencies, and provides enhanced clarity and readability on this difficult subject. Updated with new practical exercises, case studies and real world examples, this title helps you develop the necessary tools to interpret epidemiological data and prepare for board exams, and now also includes review questions at the end of each chapter.Epidemiology Kept Simple continues to provide an introductory guide to the use of epidemiological methods for graduate and undergraduate students studying public health, health education and nursing, and for all practicing health professionals seeking professional development.