Dynamic Characters

This new fourth edition of the acclaimed and bestselling Div, Grad, Curl, and All That has been carefully revised and now includes updated notations and seven new example exercises.Since the publication of the First Edition over thirty years ago, Div, Grad, Curl, and All That has been widely renowned for its clear and concise coverage of vector calculus, helping science and engineering students gain a thorough understanding of gradient, curl, and Laplacian operators without required knowledge of advanced mathematics. I. Introduction, Vector Functions, And Electrostatics -- Introduction -- Vector Functions -- Electrostatics -- Problems -- Ii. Surface Integrals And The Divergence -- Gauss' Law -- The Unit Normal Vector -- Definition Of Surface Integrals -- Evaluating Surface Integrals -- Flux -- Using Gauss' Law To Find The Field -- The Divergence -- The Divergence In Cylindrical And Spherical Coordinates -- The Del Notation -- The Divergence Theorem -- Two Simple Applications Of The Divergence Theorem -- Problems -- Iii. Line Integrals And The Curl -- Work And Line Integrals -- Line Integrals Involving Vector Functions -- Path Independence -- The Curl -- The Curl In Cylindrical And Spherical Coordinates -- The Meaning Of The Curl -- Differential Form Of The Circulation Law -- Stokes' Theorem -- An Application Of Stokes' Theorem -- Stokes' Theorem And Simpl Connected Regions -- Path Independence And The Curl -- Problems -- Iv. The Gradient -- Line Integrals And The Gradient -- Finding The Electrostatic Field -- Using Laplace's Equation -- Directional Derivatives And The Gradient -- Geometric Significance Of The Gradient -- The Gradient In Cylindrical And Spherical Coordinates -- Problems -- Solutions To Problems. H.m. Schey. Includes Index. This new fourth edition of the acclaimed and bestselling Div, Grad, Curl, and All That has been carefully revised and now includes updated notations and seven new example exercises. Since the publication of the First Edition over thirty years ago, Div, Grad, Curl, and All That has been widely renowned for its clear and concise coverage of vector calculus, helping science and engineering students gain a thorough understanding of gradient, curl, and Laplacian operators without required knowledge of advanced mathematics. I undertook to write this short text on vecctor calculus as a result of my experience several years ago in teaching electricity and magnetism to M.I.T. undergraduates.