3 eBooks tagged "Differential"

Related tags: Equations [+], A [+], to [+], of [+], Stationary [+], Partial [+], Handbook [+], Forms [+], Complement [+], Applied [+], Short, On, Course

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Handbook of Differential Equations: Stationary Partial Differential Equations, Volume 4 (Handbook of Differential Equations)
Posted: February 1st, 2008, 7:22pm CET by firefoxs

Tags:  Handbook of Differential Equations Stationary   [edit]



# Hardcover: 626 pages
# Publisher: North Holland (June 12, 2007)
# Language: English
# ISBN-10: 0444530363
# ISBN-13: 978-0444530363

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Differential Forms: A Complement to Vector Calculus
Posted: February 3rd, 2008, 1:15pm CET

Tags:  Differential Forms A Complement to   [edit]


This text is one of the first to treat vector calculus using differential forms in place of vector fields and other outdated techniques. Geared towards students taking courses in multivariable calculus, this innovative book aims to make the subject more readily understandable. Differential forms unify and simplify the subject of multivariable calculus, and students who learn the subject as it is presented in this book should come away with a better conceptual understanding of it than those who learn using conventional methods. * Treats vector calculus using differential forms * Presents a very concrete introduction to differential forms * Develops Stokess theorem in an easily understandable way * Gives well-supported, carefully stated, and thoroughly explained definitions and theorems. * Provides glimpses of further topics to entice the interested student About the Author Steven H. Weintraub is a Professor of Mathematics at Louisiana State University. He received his Ph.D. from Princeton University, and has been at LSU since that time, with temporary leaves to UCLA, Rutgers, Oxford, Yale, Gottingen, Bayreuth, and Hannover (Germany).Professor Weintraub is a member of the American Mathematical Society and a former member of the Council of the AMS. He has written more than 40 research papers and two other books: a graduate algebra book and a reserach monograph. Read more...

Tags:  Applied Partial Differential Equations A   [edit]

This book presents selected topics in science and engineering from an applied-mathematics point of view. The described natural, socioeconomic, and engineering phenomena are modeled by partial differential equations that relate state variables such as mass, velocity, and energy to their spatial and temporal variations. Typically, these equations are highly nonlinear; in many cases they are systems, and they represent challenges even for the most modern and sophisticated mathematical and numerical-analytic techniques. The selected topics reflect the longtime scientific interests of the author. They include flows of fluids and gases, granular-material flows, biological processes such as pattern formation on animal skins, kinetics of rarified gases, free boundaries, semiconductor devices, and socioeconomic processes. Each topic is briefly introduced in its scientific or engineering context, followed by a presentation of the mathematical models in the form of partial differential equations with a discussion of their basic mathematical properties. The author illustrates each chapter by a series of his own high-quality photographs, which demonstrate that partial differential equations are powerful tools for modeling a large variety of phenomena influencing our daily lives. About the Author Prof. Peter Markowich is the recipient of the Wittgenstein Award 2000, the highest ranking Austrian Science Prize. Read more...