Div, Grad, Curl, and All That: An Informal Text on Vector Calculus

By H. M. Schey

Div, Grad, Curl, and All That, 4th Edition, is one of the most beloved and approachable introductions to vector calculus ever written. Renowned for its conversational style and geometric intuition, this book helps students truly understand vector calculus rather than memorize formulas.

Widely used in undergraduate mathematics, physics, and engineering courses, Schey’s text builds a strong conceptual foundation for topics essential to electromagnetism, fluid dynamics, and applied mathematics.

What This Book Does

This book develops deep intuition for vector fields and the core operators of vector calculus—gradient, divergence, and curl—before introducing the major integral theorems. Concepts are motivated geometrically and physically, making abstract ideas tangible and memorable.

Key Features

• Intuitive, geometric explanations of vector calculus concepts
• Clear derivations of grad, div, and curl from physical reasoning
• Step-by-step development of Green’s, Stokes’, and Divergence Theorems
• Applications drawn from physics, engineering, and applied mathematics
• Engaging, informal writing style that reduces anxiety around math

Who Should Use This Book?

• Undergraduate math, physics, and engineering students
• Students preparing for electromagnetism or fluid mechanics
• Instructors seeking a friendly companion to standard textbooks
• Self-learners wanting a clear and intuitive guide to vector calculus

A classic text that makes vector calculus intuitive and enjoyable.
Order today from BooksGoat and build real understanding—not just formulas.