This entertaining and highly useful book presents hundreds of easy-to-remember mnemonics as a means of learning and then recalling the differential diagnosis possibilities for a wide range of medical conditions. The text is organized by body system, and each set of mnemonics is accompanied by notes for fine tuning the diagnostic process. The mnemonics included range in length from short to very long depending on the clinical entity. Sometimes more than one has been added for brevity or organizational reasons.
Differential Equations with Mathematica, Third Edition
The Third Edition of the Differential Equations with Mathematica integrates new applications from a variety of fields,especially biology, physics, and engineering. The new handbook is also completely compatible with recent versions of Mathematica and is a perfect introduction for Mathematica beginners.
Handbook of Geometric Analysis, No. 3 (volume 14 of the Advanced Lectures in Mathematics series)
Geometric Analysis combines differential equations and differential geometry. An important aspect is to solve geometric problems by studying differential equations. Besides some known linear differential operators such as the Laplace operator, many differential equations arising from differential geometry are nonlinear. A particularly important example is the Monge-Ampère equation. Applications to geometric problems have also motivated new methods and techniques in differential equations.
Geometric Analysis combines differential equations with differential geometry. An important aspect of geometric analysis is to approach geometric problems by studying differential equations. Besides some known linear differential operators such as the Laplace operator, many differential equations arising from differential geometry are nonlinear. A particularly important example is the Monge-Amperè equation. Applications to geometric problems have also motivated new methods and techniques in differential equations. The field of geometric analysis is broad and has had many striking applications.
Second Order Differential Equations: Special Functions and Their Classification
Second Order Differential Equations presents a classical piece of theory concerning hypergeometric special functions as solutions of second-order linear differential equations. The theory is presented in an entirely self-contained way, starting with an introduction of the solution of the second-order differential equations and then focuses on the systematic treatment and classification of these solutions.