chapter 1 Differentiation of Integrals / John Newman Vincent Battaglia -- chapter 2 Linear, First-Order Differential Equations / John Newman Vincent Battaglia -- chapter 3 Linear Systems / John Newman Vincent Battaglia -- chapter 4 Linearization of Nonlinear Problems / John Newman Vincent Battaglia -- chapter 5 Reduction of Order / John Newman Vincent Battaglia -- chapter 6 Linear, Second-Order Differential Equations / John Newman Vincent Battaglia -- chapter 7 Euler's Equation and Equations with Constant Coefficients / John Newman Vincent Battaglia -- chapter 8 Series Solutions and Singular Points / John Newman Vincent Battaglia -- chapter 9 Legendre's Equation and Special Functions / John Newman Vincent Battaglia -- chapter 10 Laplace Transformation / John Newman Vincent Battaglia -- chapter 11 The Sturm-Liouville System / John Newman Vincent Battaglia -- chapter 12 Numerical Methods for Ordinary Differential Equations / John Newman Vincent Battaglia -- chapter 13 Vector Calculus / John Newman Vincent Battaglia -- chapter 14 Classification and Examples of Partial Differential Equations / John Newman Vincent Battaglia -- chapter 15 Steady Heat Conduction in a Rectangle / John Newman Vincent Battaglia -- chapter 16 Coordinate Transformations / John Newman Vincent Battaglia -- chapter 17 Disk Electrode in an Insulating Plane / John Newman Vincent Battaglia -- chapter 18 Suspension of Charged Drops / John Newman Vincent Battaglia -- chapter 19 Transient Temperature Distribution in a Slab / John Newman Vincent Battaglia -- chapter 20 Inversion of Laplace Transforms by the Method of Residues / John Newman Vincent Battaglia -- chapter 21 Similarity Transformations / John Newman Vincent Battaglia -- chapter 22 Superposition Integrals and Integral Equations / John Newman Vincent Battaglia -- chapter 23 Migration in Rapid Double-Layer Charging / John Newman Vincent Battaglia -- chapter 24 Fourier Transforms / John Newman Vincent Battaglia -- chapter 25 Conformal Mapping / John Newman Vincent Battaglia -- chapter 26 Calculus of Variations / John Newman Vincent Battaglia.

"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, Legendres 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."--Provided by publisher.