This volume provides an introduction to the analytical and numerical aspects of partial differential equations (PDEs). It unifies an analytical and computational approach for these; the qualitative behaviour of solutions being established using classical concepts: maximum principles and energy methods. Notable inclusions are the treatment of irregularly shaped boundaries, polar coordinates and the use of flux-limiters when approximating hyperbolic conservation laws. The numerical analysis of difference schemes is rigorously developed using discrete maximum principles and discrete Fourier analysis. A novel feature is the inclusion of a chapter containing projects, intended for either individual or group study, that cover a range of topics such as parabolic smoothing, travelling waves, isospectral matrices, and the approximation of multidimensional advection–diffusion problems. The underlying theory is illustrated by numerous examples and there are around 300 exercises, designed to promote and test understanding. They are starred according to level of difficulty. Solutions to odd-numbered exercises are available to all readers while even-numbered solutions are available to authorised instructors. Written in an informal yet rigorous style, Essential Partial Differential Equations is designed for mathematics undergraduates in their final or penultimate year of university study, but will be equally useful for students following other scientific and engineering disciplines in which PDEs are of practical importance. The only prerequisite is a familiarity with the basic concepts of calculus and linear algebra.
Provides: over 26,000 academic institutions, 150,000 staff and officials; extensive coverage of universities, colleges and other centres of learning; and detailed information on over 400 international cultural, scientific and educational organizations.
Practical, up-to-date strategies for assessing and managing the neurologic conditions most frequently seen in adults and children •Introductory chapters address specific symptoms and diagnostic procedures; subsequent chapters are disease specific and adhere to a standard format, beginning with Essentials of Diagnosis, followed by Clinical Findings, Differential Diagnosis, Treatment, and Prognosis•Coverage of disorders in both adults and children•Thorough coverage of diagnostic tests and the very latest pharmacologic treatments•Practical information on common conditions such as headaches, movement disorders, and central nervous system infections•Valuable to anyone who sees patients with neurologic complaints, whether in primary care or the neurology clinic•Expert help with ischemic and hemorrhagic stroke, epilepsy, sleeping disorders, dizziness, hearing loss, dementia and memory loss, and more•Each chapter written by experts in that area, without losing readability or coherence
Thank you for visiting our website. Would you like to provide feedback on how we could improve your experience?
This site does not use any third party cookies with one exception — it uses cookies from Google to deliver its services and to analyze traffic.Learn More.