Vector Calculus

Blue Book vol. 3: Vector Calculus - Differentiation and Integration of Vector Functions
The Blue Book series on engineering mathematics includes Fourier Analysis (vol. 1), Laplace Transform (vol. 2), Vector Calculus (vol. 3), and Complex Analysis (vol. 4).
In this volume, you will learn about the following:
● Operations of vectors, coordinate systems (rectangular, cylindrical, spherical).
● Gradient of scalar fields, directional derivatives.
● Differentiation of vector functions - divergence and curl.
● Integration of vector functions - line integrals, surface integrals.
● Theorems related to the calculus of vector functions.
Vector calculus has a very wide range of applications and is widely utilized. Therefore, in this book, we have focused on explanations, examples, and exercises to help readers easily understand the subject, striving to present the material comprehensively without skipping calculations whenever possible.
However, it should be noted that this book is aimed at engineering students and does not delve into rigorous mathematical meanings and proofs.
While we have carefully reviewed the content of this book, there may still be errors. We will update the book promptly upon discovery of any errors. (We understand that on most e-book platforms, the book will be automatically updated on the purchaser's smartphone or tablet, or a notification for an update will be displayed.)
Finally, we hope that this book has been helpful in achieving what you intended to learn. Thank you.