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.

chapter 1|2 pages

Differentiation of Integrals

chapter 3|2 pages

Linear Systems

chapter 4|5 pages

Linearization of Nonlinear Problems

chapter 5|4 pages

Reduction of Order

chapter 8|6 pages

Series Solutions and Singular Points

chapter 10|10 pages

Laplace Transformation

chapter 11|3 pages

The Sturm-Liouville System

chapter 13|11 pages

Vector Calculus

chapter 15|12 pages

Steady Heat Conduction in a Rectangle

chapter 16|5 pages

Coordinate Transformations

chapter 17|7 pages

Disk Electrode in an Insulating Plane

chapter 18|4 pages

Suspension of Charged Drops

chapter 21|6 pages

Similarity Transformations

chapter 23|6 pages

Migration in Rapid Double-Layer Charging

chapter 24|15 pages

Fourier Transforms

chapter 25|18 pages

Conformal Mapping

chapter 26|17 pages

Calculus of Variations