Calculus III

by Jerrold E. Marsden, Alan Weinstein

The third of a three-volume work, this book is the outgrowth of the authors' experience teaching calculus at Berkeley. It covers multivariable calculus and begins with the necessary material from analytical geometry. It goes on to cover partial differention, the gradient and its applications, multiple integration, and the theorems of Green, Gauss and Stokes. The authors motivate the study of calculus using its applications. Features many solved problems and extensive exercises.

Genres: Mathematics

359 pages, Paperback

First published June 7, 1985

Reviews

[Rupendra Dhillon · Rating 4 out of 5]

Continued from where Book I in this series left off. It has decent explanation for concepts such as Partial Differentiation, The Chain Rule, the use of matrix multiplication in evaluating th chain rule, Gradiants and directional derivatives - however I found that I was left wanting a bit more once I finishes those topics. Multiple integration is explained well and so is the initial part of the Chapter on Vector Analysis. However, I feel that it might be intentional to keep spanning too much into the field of Vector Calculus.

Students who have made it this far might want to venture into Vector Calculus. I am going to be going through Vector Calculus by Paul C. Mathews next to quench my thirst for more juicy details 😁

All over the book the examples do a fantastic job of bringing home a certain concept in my mind and helping me with understanding why something is being called out.

At the end of the day it is an undergraduate series textbook and does a good job. if you are expecting the detail at the level of Apostle then this book might seem basic to you.

Overall when I look at all the books in this series - they have done a good job at kick-starting me on the journey of Calculus and that is enough for such an undergraduate level series.