---
product_id: 2741731
title: "Vector and Geometric Calculus (Geometric Algebra & Calculus)"
price: "329.73 DT"
currency: TND
in_stock: true
reviews_count: 13
url: https://www.desertcart.tn/products/2741731-vector-and-geometric-calculus-geometric-algebra-and-calculus
store_origin: TN
region: Tunisia
---

# Vector and Geometric Calculus (Geometric Algebra & Calculus)

**Price:** 329.73 DT
**Availability:** ✅ In Stock

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- **What is this?** Vector and Geometric Calculus (Geometric Algebra & Calculus)
- **How much does it cost?** 329.73 DT with free shipping
- **Is it available?** Yes, in stock and ready to ship
- **Where can I buy it?** [www.desertcart.tn](https://www.desertcart.tn/products/2741731-vector-and-geometric-calculus-geometric-algebra-and-calculus)

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## Description

This textbook for the undergraduate vector calculus course presents a unified treatment of vector and geometric calculus. This is the printing of April 2025. The book is a sequel to the text Linear and Geometric Algebra by the same author. That text is a prerequisite for this one. Its web page is at faculty.luther.edu/~macdonal/laga . Linear algebra and vector calculus have provided the basic vocabulary of mathematics in dimensions greater than one for the past one hundred years. Just as geometric algebra generalizes linear algebra in powerful ways, geometric calculus generalizes vector calculus in powerful ways. Traditional vector calculus topics are covered, as they must be, since readers will encounter them in other texts and out in the world. Differential geometry is used today in many disciplines. A final chapter is devoted to it. Download the book's table of contents, preface, and index at the book's web site: faculty.luther.edu/~macdonal/vagc . From a review of Linear and Geometric Algebra: Alan Macdonald's text is an excellent resource if you are just beginning the study of geometric algebra and would like to learn or review traditional linear algebra in the process. The clarity and evenness of the writing, as well as the originality of presentation that is evident throughout this text, suggest that the author has been successful as a mathematics teacher in the undergraduate classroom. This carefully crafted text is ideal for anyone learning geometric algebra in relative isolation, which I suspect will be the case for many readers. -- Jeffrey Dunham, William R. Kenan Jr. Professor of Natural Sciences, Middlebury College

Review: Best Undergraduate Introduction to Geometric Calculus - [Readers of this review should note that I examined early drafts of this book and provided comments to the author. I have and have had no financial interest in it, other than to encourage the author to keep its price low.] This textbook covers the basic concepts of differential calculus as they occur in a multi-dimensional setting. Textbooks on this essential math and physics undergraduate topic have traditionally been entitled "Advanced Calculus," "Multivariate Calculus," and "Vector Analysis." The latter title refers to the specific study of scalar and vector fields on vector spaces, from which, for example, arise the differential operator concepts of curl and divergence that are so critical to the understanding of electromagnetism. There are numerous textbooks to choose from in this area. This one distinguishes itself by two attributes: its thoroughgoing use of Geometric Algebra and the clarity of its exposition at an undergraduate level. Some recent texts have provided clearer treatments of multivariate calculus by using coordinate-free algebraic notions from modern treatments of Linear Algebra. This text completes the trend by basing its exposition on the use of algebraic notions from Geometric Algebra, which provides a greatly enhanced command of linear and multilinear concepts. The author assumes the reader is familiar with this topic, and has already written a concise introduction to it in a separate textbook. Furthermore, and most significantly, this text employs the differential operator central to the development of the calculus portion of Geometric Algebra, the vector derivative. The use of this operator results in a generalized and simplified statement of Stoke's Theorem, the fundamental theorem of multivariate calculus. The style of the exposition is clearly suited to someone trying to learn this topic at the undergraduate level. It's attention to concept development and even pacing are especially well-suited to self-study. Professor MacDonald, as he has previously demonstrated in his textbook on Linear and Geometric Algebra, definitely has a gift for fitting a clear exposition of a new area into the framework of a traditional subject. I have great hopes that these textbooks will accelerate the long overdue introduction of Geometric Algebra to the undergraduate curriculum.
Review: I really like this book - I have really enjoyed this book (and its prequel Linear and Geometric Algebra, which I would recommend reading first). I wish I could have learned and taken advantage of Geometric Algebra back when I was learning vector calculus a few decades ago. I find the approach offered in this book using Geometric Algebra is much more personally satisfying than Differential Forms. I like the way that Professor Macdonald combines intuition and practical application with a mathematical treatment. I highly recommend this book.

## Technical Specifications

| Specification | Value |
|---------------|-------|
| Best Sellers Rank | #479,978 in Books ( See Top 100 in Books ) #19 in Vector Analysis Mathematics #304 in Calculus (Books) #878 in Mathematics (Books) |
| Customer Reviews | 4.6 out of 5 stars 50 Reviews |

## Images

![Vector and Geometric Calculus (Geometric Algebra & Calculus) - Image 1](https://m.media-amazon.com/images/I/51y+3FELzCL.jpg)

## Customer Reviews

### ⭐⭐⭐⭐⭐ Best Undergraduate Introduction to Geometric Calculus
*by J***Y on January 11, 2013*

[Readers of this review should note that I examined early drafts of this book and provided comments to the author. I have and have had no financial interest in it, other than to encourage the author to keep its price low.] This textbook covers the basic concepts of differential calculus as they occur in a multi-dimensional setting. Textbooks on this essential math and physics undergraduate topic have traditionally been entitled "Advanced Calculus," "Multivariate Calculus," and "Vector Analysis." The latter title refers to the specific study of scalar and vector fields on vector spaces, from which, for example, arise the differential operator concepts of curl and divergence that are so critical to the understanding of electromagnetism. There are numerous textbooks to choose from in this area. This one distinguishes itself by two attributes: its thoroughgoing use of Geometric Algebra and the clarity of its exposition at an undergraduate level. Some recent texts have provided clearer treatments of multivariate calculus by using coordinate-free algebraic notions from modern treatments of Linear Algebra. This text completes the trend by basing its exposition on the use of algebraic notions from Geometric Algebra, which provides a greatly enhanced command of linear and multilinear concepts. The author assumes the reader is familiar with this topic, and has already written a concise introduction to it in a separate textbook. Furthermore, and most significantly, this text employs the differential operator central to the development of the calculus portion of Geometric Algebra, the vector derivative. The use of this operator results in a generalized and simplified statement of Stoke's Theorem, the fundamental theorem of multivariate calculus. The style of the exposition is clearly suited to someone trying to learn this topic at the undergraduate level. It's attention to concept development and even pacing are especially well-suited to self-study. Professor MacDonald, as he has previously demonstrated in his textbook on Linear and Geometric Algebra, definitely has a gift for fitting a clear exposition of a new area into the framework of a traditional subject. I have great hopes that these textbooks will accelerate the long overdue introduction of Geometric Algebra to the undergraduate curriculum.

### ⭐⭐⭐⭐⭐ I really like this book
*by T***N on January 22, 2024*

I have really enjoyed this book (and its prequel Linear and Geometric Algebra, which I would recommend reading first). I wish I could have learned and taken advantage of Geometric Algebra back when I was learning vector calculus a few decades ago. I find the approach offered in this book using Geometric Algebra is much more personally satisfying than Differential Forms. I like the way that Professor Macdonald combines intuition and practical application with a mathematical treatment. I highly recommend this book.

### ⭐⭐⭐⭐⭐ This should be taught in high schools
*by A***R on January 6, 2025*

Geometric algebra is the most powerful tool to understand linear algebra, vector calculus, special and general relativity, and quantum physics. It is simple and intuitive.

## Frequently Bought Together

- Vector and Geometric Calculus (Geometric Algebra & Calculus)
- Linear and Geometric Algebra (Geometric Algebra & Calculus)
- Geometric Algebra for Electrical Engineers: Multivector electromagnetism

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*Last updated: 2026-07-03*