Elementary Vector Calculus and Its Applications with MATLAB Programming

Vector calculus is a fundamental scientific tool that allows us to investigate the origins and evolution of space and time,as well as the origins of gravity,electromagnetism,and nuclear forces. It represents physical quantities in two or three-dimensional space and is used in differential geometry and studies related to partial differential equations. This book is designed for beginners with no prior knowledge of vector calculus and includes illustrations, solved examples, practice examples, and multiple-choice questions.

Format: Hardback
Length: 214 pages
Publication date: 31 January 2023
Publisher: River Publishers

Sir Isaac Newton, a towering figure in the realm of science and mathematics, unveiled the concept of a vector to establish the existence of gravitational forces, the celestial dance of planets orbiting the sun, and the mesmerizing motion of the moon around the earth. Vector calculus, a cornerstone of scientific inquiry, empowers us to delve into the origins and evolution of space and time, unraveling the mysteries of gravity, electromagnetism, and nuclear forces. As a vital language of mathematical physics, vector calculus plays a pivotal role in differential geometry and the study of partial differential equations, which are widely employed in physics, engineering, fluid flow, electromagnetic fields, and numerous other disciplines. Vector calculus represents physical quantities in two or three-dimensional space, capturing the intricacies of their variations.

The machinery of differential geometry, of which vector calculus forms a subset, serves as a powerful tool for understanding a wide range of analytic results in a more generalized context. Vector calculus techniques unlock the doors to the mathematical exploration of numerous topics within the physical sciences.

This book assumes no prior knowledge of vector calculus and aims to provide a comprehensive introduction to the subject. It begins with a foundational exploration of vectors and scalars, delving into scalar and vector products, vector differentiation and integration, Gauss's theorem, Stokes's theorem, and Green's theorem. The final chapter presents MATLAB programming, providing a practical application of the concepts learned throughout the book.

To enhance the learning experience, this book is adorned with numerous illustrations, solved examples, practice problems, and multiple-choice questions. Whether you are a student, researcher, or enthusiast seeking to expand your understanding of vector calculus, this resource is designed to guide you on a captivating journey into the realm of mathematical physics.

Weight: 496g
Dimension: 241 x 161 x 17 (mm)
ISBN-13: 9788770223874