Prof. Newman is considered one of the great chemical engineers of his time. His reputation derives from his mastery of all phases of the subject matter, his clarity of thought, and his ability to reduce complex problems to their essential core elements. He is a member of the National Academy of Engineering, Washington, DC, USA, and has won numerous national awards including every award offered by the Electrochemical Society, USA. His motto, as known by his colleagues, is “do it right the first time.” He has been teaching undergraduate and graduate core subject courses at the University of California, Berkeley (UC Berkeley), USA, since joining the faculty in 1966. His method is to write out, in long form, everything he expects to convey to his class on a subject on any given day. He has maintained and updated his lecture notes from notepad to computer throughout his career. This book is an exact reproduction of those notes.
This book shows a clean and concise way on how to use different analytical techniques to solve equations of multiple forms that one is likely to encounter in most engineering fields, especially chemical engineering. It provides the framework for formulating and solving problems in mass transport, fluid dynamics, reaction kinetics, and thermodynamics through ordinary and partial differential equations. It includes topics such as Laplace transforms, Legendre’s equation, vector calculus, Fourier transforms, similarity transforms, coordinate transforms, conformal mapping, variational calculus, superposition integrals, and hyperbolic equations. The simplicity of the presentation instils confidence in the readers that they can solve any problem they come across either analytically or computationally.
“This book is based on the legendarily brilliant John Newman’s class notes. The text surveys important mathematical methods with sufficient detail for advanced engineering undergraduates or beginning graduate students. The concise, easy-to-follow set of examples undoubtedly make this book an excellent reference.”
~Prof. Alan C. West, Columbia University in the City of New York, USA
“This book encompasses a broad range of analytical and semi-analytical approaches to solving problems in applied mathematics and is an excellent resource for engineering students and seasoned engineers alike. The concise chapters teach by example and provide problem statements in diverse subjects that encourage the readers to hone their skills and unearth hidden gems. Standard approaches (similarity solutions, separation of variables, Fourier and Laplace transforms) and a few exotic methods (Schwarz–Christoffel transformation, Duhamel superposition integral) are contextualized so that the readers learn not only how but, more importantly, when to apply them.”
~Dr. Jake Christensen, Robert Bosch LLC