Philip L. Korman's Books

Lectures on Differential Equations

By: Philip L. Korman

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Lectures on Differential Equations

By: Philip L. Korman

Lectures on Differential Equations provides a clear and concise presentation of differential equations for undergraduates and beginning graduate students. There is more than enough material here for a year-long course. In fact, the text developed from the author's notes for three courses: the undergraduate introduction to ordinary differential equations, the undergraduate course in Fourier analysis and partial differential equations, and a first graduate course in differential equations. The first four chapters cover the classical syllabus for the undergraduate ODE course leavened by a modern awareness of computing and qualitative methods. The next two chapters contain a well-developed exposition of linear and nonlinear systems with a similarly fresh approach. The final two chapters cover boundary value problems, Fourier analysis, and the elementary theory of PDEs. The author makes a concerted effort to use plain language and to always start from a simple example or application. The presentation should appeal to, and be readable by, students, especially students in engineering and science. Without being excessively theoretical, the book does address a number of unusual topics: Massera's theorem, Lyapunov's inequality, the isoperimetric inequality, numerical solutions of nonlinear boundary value problems, and more. There are also some new approaches to standard topics including a rethought presentation of series solutions and a nonstandard, but more intuitive, proof of the existence and uniqueness theorem. The collection of problems is especially rich and contains many very challenging exercises. Philip Korman is professor of mathematics at the University of Cincinnati. He is the author of over one hundred research articles in differential equations and the monograph Global Solution Curves for Semilinear Elliptic Equations. Korman has served on the editorial boards of Communications on Applied Nonlinear Analysis, Electronic Journal of Differential Equations, SIAM Review, an\ d Differential Equations and Applications.

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Page Count

414

Publisher

American Mathematical Soc.

Published Date

ISBN 10

1470451735

ISBN 13

9781470451738

Principles and Practice of Psychopharmacotherapy

By: Philip G. Janicak,Stephen R. Marder,Mani N. Pavuluri

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Principles and Practice of Psychopharmacotherapy

By: Philip G. Janicak,Stephen R. Marder,Mani N. Pavuluri

Fully updated for its Fifth Edition, Principles and Practice of Psychopharmacotherapy summarizes the latest data on hundreds of drug and device-based therapies and offers practical, evidence-based guidelines and treatment strategies for virtually every psychiatric disorder. Highlights of this edition include expanded coverage of pharmacogenomics, updates on treatments for elderly patients, and discussion of mechanisms of action for drugs used in sleep disorders, especially narcolepsy.

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Page Count

712

Publisher

Lippincott Williams & Wilkins

Published Date

ISBN 10

1451178778

ISBN 13

9781451178777

Global Solution Curves For Semilinear Elliptic Equations

By: Philip Korman

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Global Solution Curves For Semilinear Elliptic Equations

By: Philip Korman

This book provides an introduction to the bifurcation theory approach to global solution curves and studies the exact multiplicity of solutions for semilinear Dirichlet problems, aiming to obtain a complete understanding of the solution set. This understanding opens the way to efficient computation of all solutions. Detailed results are obtained in case of circular domains, and some results for general domains are also presented.The author is one of the original contributors to the field of exact multiplicity results.

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Page Count

254

Publisher

World Scientific

Published Date

ISBN 10

9814458066

ISBN 13

9789814458061

Lectures on Differential Equations

By: Philip L. Korman

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Lectures on Differential Equations

By: Philip L. Korman

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Solve jigsaw puzzle

Age

Page Count

414

Publisher

American Mathematical Soc.

Published Date

ISBN 10

1470451735

ISBN 13

9781470451738

Book's by Philip L. Korman

Lectures on Differential Equations

Lectures on Differential Equations

Principles and Practice of Psychopharmacotherapy

Principles and Practice of Psychopharmacotherapy

Global Solution Curves For Semilinear Elliptic Equations

Global Solution Curves For Semilinear Elliptic Equations

Lectures on Differential Equations

Lectures on Differential Equations

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