Differential forms eat tangent vectors, spit out numbers and do this in an alternating multilinear fashion. These properties make differential forms an essential tool for doing calculus on manifolds and thus of great interest to mathematicians and physicists. This book is aimed at the general reader who is interested in tackling a relaxed but wide-ranging introduction to this fascinating subject. The only prerequisite is a reasonable foundation in advanced, school-level mathematics. The text includes numerous worked problems. Topics covered include:An introduction to basic concepts.How differential forms eat tangent vectors and spit out numbers.Manipulating differential forms, including the wedge product, differentiation and integration.How differential forms provide an alternative means of understanding three-dimensional vector calculus.The generalised Stoke's theorem, which applies to manifolds of any dimension.Maxwell's equations in the language of differential forms.Using differential forms to prove three nice topological theorems, including the famous hairy ball theorem.
✔ Author(s): Peter Collier
✔ Title: A Beginner's Guide to Differential Forms
✔ Rating : 4.5 out of 5 base on (149 reviews)
✔ ISBN-10: 0957389477
✔ Language: English
✔ Format ebook: PDF, EPUB, Kindle, Audio, HTML and MOBI
✔ Device compatibles: Android, iOS, PC and Amazon Kindle
Readers' opinions about A Beginner's Guide to Differential Forms by Peter Collier
Leyanne Kemp
Dive into a captivating mystery where each clue unravels a new layer of intrigue. The author's masterful storytelling keeps you guessing until the final page. Vivid characters and detailed settings bring the story to life. The suspense builds with each chapter, making it impossible to put down. It's a gripping tale that will keep you on the edge of your seat. A must-read for fans of the genre.
Gipsy Herbert
Immerse yourself in a richly detailed fantasy world where heroes and villains clash in epic battles. The author's intricate plotting and dynamic characters create a compelling narrative. Each twist and turn in the story keeps you hooked from start to finish. The vivid descriptions and imaginative world-building transport you to another realm. It's a thrilling adventure that captures the essence of epic fantasy. Perfect for fans of high-stakes adventures.
Perri Jarvis
Follow the heartwarming journey of a group of friends navigating life's challenges together. The author's empathetic writing and well-developed characters create a deeply emotional experience. Each chapter explores themes of friendship, love, and resilience with sensitivity. The plot's twists and turns keep you engaged throughout. It's a story that celebrates the bonds that connect us. Perfect for readers who enjoy stories about friendship and community.
