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## Vector and Geometric Calculus (Softcover)"This textbook for the undergraduate vector calculus course presents a unified treatment of vector and geometric calculus. [It] can be used for self study by those comfortable with the theorem/proof style of a mathematical text." — From the back cover ## $23.80 |

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Please contact us if you've got questions about this product.## Condition

**LIKE NEW:** The book is in excellent, like-new condition.

## Description

From the back cover: This course “is a sequel to the text *Linear and Geometric Algebra* by the same author. That text is a prerequisite for this one.

“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.”

**BRIEF CONTENTS**

- Preface
- To the Student
- I – Preliminaries
- 1 – Curve and Surface Representations
- 2 – Limits and Continuity
- II – Derivatives
- 3 – The Differential
- 4 – Tangent Spaces
- 5 – The Gradient
- 6 – Extremes
- III – Integrals
- 7 – Integrals over Curves
- 8 – Multiple Integrals
- 9 – Integrals over Surfaces
- IV – The Fundamental Theorem of Calculus
- 10 – The Fundamental Theorem of Calculus
- V – Differential Geometry
- 11 – Differential Geometry in
**R**^{3} - VI – Appendices
- A – Review of Geometric Algebra
- B – Software
- C – Formulas
- D – Differential Forms
- Index

## Details

- SKU:
- 1657
- Subject:
- Calculus
- Author:
- Macdonald, Alan
- Publisher:
- CreateSpace Independent Publishing Platform
- Publish Date:
- 2012
- Format:
- Softcover
- Weight (pounds):
- 0.89
- Dimensions (W”xL”xH”):
- 6.7″x9.55″x0.5″
- ISBN-13:
- 9781480132450
- ISBN-10:
- 1480132454
- Grade Level:
- College

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