-- Download GA Online Resources as PDF --

Before getting into the links, I found a very good online list compiled by Pablo Bleyer Kocik containing many sources of information about Geometric Algebra. I highly recommend visiting his list.

### Introductory Papers

- “Geometric Algebra”, Eric Chisolm, 2012 (online)
- “A Survey of Geometric Algebra and Geometric Calculus”, Alan Macdonald, 2016 (online)
- “Geometric Algebra for Electrical and Electronic Engineers”, by James M. Chappell et. al., IEEE 2014 (online)
- “Applications of Clifford’s Geometric Algebra”, Eckhard Hitzer, Tohru Nitta and Yasuaki Kuroe, 2013 (online)

### Introductory Books

- The simplest book to start from is “Understanding Geometric Algebra: Hamilton, Grassmann, and Clifford for Computer Vision and Graphics” by Kenichi Kanatani. (online)
- “Geometric Algebra for Computer Science: An Object-Oriented Approach to Geometry” by Leo Dorst, Daniel Fontijne, and Stephen Mann (online), and (book website)
- “Visualizing Quaternions” by Andrew J. Hanson (online)
- “Geometric Algebra with Applications in Engineering” by Christian Perwass (online)

### Important Web Pages \ Blogs

- Geometric Calculus Research and Development (web page). Dr. David Hestenes page, chief architect of geometric algebra as a unified language for mathematics and physics.
- The GA-Net Updates (web page) containing information about events, publications, and more regarding GA and its applications
- Waterloo Computer Graphics Lab (online)
- University of Cambridge Geometric Algebra (web page), created by Dr. Chris Doran and Professor Anthony Lasenby
- Ian C. G. Bell’s “Math for Game Programmers” (web page), one of the oldest online pages (since 1998) containing good information about the mathematics and applications of GA
- Dr. Dietmar Hildenbrand (web page) the creator of Gaalop (Geometric Algebra Algorithms Optimizer).
- Three pages from Steven Lahar, an independent researcher with some radical ideas about harmonic resonance and spatial standing waves as the computational principle behind perception and cognition:
- Applied Geometric Algebra in Computer Science and Engineering 2015 (online)
- Eduardo Jose Bayro-Corrochano Page (online)
- The Chair of Cognitive Systems, Prof. Dr. G. Sommer, Institute of Computer Science, Faculty of Engineering, Christian-Albrechts-University of Kiel (online)
- Geometric Algebra Facebook Page (online)
- GA Computing (web page) and (blog) by Ahmad Eid
- The “EuclideanSpace – Mathematics and Computing” (web site). This site looks at mathematics and how it can be computed. It contains several (sections) on Geometric Algebra.
- The Pre-University Geometric Algebra Linkedin Group (online). This group is a space for the sharing and collaborative development of resources for teaching GA at the high-school level. More advanced materials are welcome, especially if prepared with the additional intent of helping high-school students develop the abilities needed to understand and do such work themselves within a few years.

### Journals and Conferences

- Advances in Applied Clifford Algebras (AACA) Journal.
- GA Net Updates Conferences (Web Page).
- The Empowering Novel Geometric Algebra for Graphics & Engineering (ENGAGE 2017) Workshop.
- Computer Graphics, Computer Vision and Computational Mathematics (GraVisMa) and (GraVisMa2010)
- Applied Geometric Algebra in Computer Science and Engineering (AGACSE 2015), (AGACSE 2012), (AGACSE 2008), and (ACACSE’99)
- International Conference on Applied Geometric Algebra in Computer Science and Engineering (ICAGACSE)
- Workshop on Geometric Algebra (online)
- Alterman Conference on Geometric Algebra (online)
- Geometric Algebra and Geographical Information Science: Development and Applications (CAGIS)

### Online Videos

- A Tutorial on Geometric Calculus by David Hestenes.
- The rotation problem and Hamilton’s discovery of quaternions (Part 1), (Part 2), (Part 3), and (Part 4).
- A good Introductory GA tutorial.
- A good playlist on Geometric Algebra by Mathoma (online).
- Two good playlists on Geometric Algebra and Geometric Calculus by Alan Macdonald.
- Geometric Algebra of Clifford, Grassman, and Hestenes by James Smith. These are videos that are intended primarily for those who are learning Geometric Algebra on their own. (online)
- A video by Dr. Dietmar Hildenbrand on the power of Geometric Algebra Computing for Mathematica (online).

### Software

Details on GA-related software can be found in the Geometric Algebra Software page.

### Wikipedia Pages

- https://en.wikipedia.org/wiki/Geometric_algebra
- https://en.wikipedia.org/wiki/Clifford_algebra
- https://en.wikipedia.org/wiki/Exterior_algebra
- https://en.wikipedia.org/wiki/Bivector
- https://en.wikipedia.org/wiki/Quaternion
- https://en.wikipedia.org/wiki/Multivector
- https://en.wikipedia.org/wiki/Outermorphism

### Applications in Computer Graphics

- Geomerics Company: (online)
- Computer Graphics from a Geometric Algebra Perspective (online)
- Computer Graphics Using Conformal Geometric Algebra (online)
- “Rethinking Quaternions – Theory and Computation” by Ron Goldman (online)
- “Geometric Algebra for Computer Graphics” by John Vince (online) who also authored several (other) related books
- Waterloo Computer Graphics Lab (online)
- Applications of Conformal Geometric Algebra in Computer Vision and Graphics (online)
- Geometric Algebra and its Application to Computer Graphics (online)
- Geometric Algebra Computing in Engineering and Computer Science (online)
- Guide to Geometric Algebra in Practice (online)

### Applications in Signal and Image Processing

- “Quaternion and Clifford Fourier Transforms and Wavelets” (online)
- Tutorial on Fourier Transformations and Wavelet Transformations in Clifford Geometric Algebra (online)
- Geometric Algebra Computing in Engineering and Computer Science (online)
- Guide to Geometric Algebra in Practice (online)
- Geometric Computing with Clifford Algebras: Theoretical Foundations and Applications in Computer Vision and Robotics (online)
- Clifford Algebras and Dimensionality Reduction for Signal Separation and Classification (online)
- Spatial color image processing using Clifford algebras: application to color active contour (online)
- Registration of Multichannel Images using Geometric Algebra (online)
- ConformalALU: A Conformal Geometric Algebra Coprocessor for Medical Image Processing (online)
- Geometric algebra colour image representations and derived total orderings for morphological operators – Part I: Colour quaternions (online)
- Advancement in Color Image Processing using Geometric Algebra (online)
- AWCGAIT2015, 27 Mar. 2015: Overview of Quaternion and Clifford Fourier Transforms, E. Hitzer (online video)
- Clifford Algebras as Unified Language for Image Processing and Pattern Recognition (online)
- The Chair of Cognitive Systems, Prof. Dr. G. Sommer, Christian-Albrechts-University of Kiel (web page)

### Applications in Mechanics

- “New Foundations for Classical Mechanics, 2nd Ed.” by David Hestenes (online)
- “Clifford Algebras – Geometric Modeling and Chain Geometries with Application in Kinematics” by Daniel Klawitter (online)
- Guide to Geometric Algebra in Practice (online).
- “Geometric (Clifford) Algebra Calculation of the Trajectory of a Gas Molecule Desorbed from the Earth’s Surface” by James A. Smith (online).

### Applications in Differential Geometry \ Calculus

- “An Introduction to Geometric Algebra and Calculus” by Alan Bromborsky (online)
- “A Geometric Approach to Differential Forms, 2nd Ed” by David Bachman (online)
- “A New Approach to Differential Geometry using Clifford’s Geometric Algebra” by John Snygg (online)
- “Clifford Algebra to Geometric Calculus: A Unified Language for Mathematics and Physics” by D. Hestenes and Garret Sobczyk (online)
- “Noncommutative Functional Calculus” by Fabrizio Colombo et. al. (online)
- Guide to Geometric Algebra in Practice (online)

### Applications in Neural Networks and Machine Learning

- Geometric Algebra Computing in Engineering and Computer Science (online)
- Geometric Algebra with Applications in Science and Engineering (online)
- Geometric Computing with Clifford Algebras: Theoretical Foundations and Applications in Computer Vision and Robotics (online)
- A Note on Geometric Algebra and Neural Networks (online)
- A new Selforganizing Neural Network using Geometric Algebra (online)
- The Chair of Cognitive Systems, Prof. Dr. G. Sommer, Christian-Albrechts-University of Kiel (web page)

### Applications in Robotics and Computer Vision

- “Geometric Algebra with Applications in Engineering” by Christian Perwass. (online)
- Geometric Algebra with Applications in Science and Engineering (online)
- “Geometric Fundamentals of Robotics 2nd Edition” by J.M. Selig (online)
- “Clifford Algebras – Geometric Modeling and Chain Geometries with Application in Kinematics” by Daniel Klawitter (online)
- Geometric Algebra Computing in Engineering and Computer Science (online)
- “Geometric Computing: for Wavelet Transforms, Robot Vision, Learning, Control and Action” by Eduardo Bayro-Corrochano (online)
- Geometric Computing with Clifford Algebras: Theoretical Foundations and Applications in Computer Vision and Robotics (online)
- Guide to Geometric Algebra in Practice (online)
- Eduardo Jose Bayro-Corrochano (web page)
- The Chair of Cognitive Systems, Prof. Dr. G. Sommer, Christian-Albrechts-University of Kiel (web page)

### Applications in Electromagnetic Theory

- Mathematical Descriptions of the Electromagnetic Field (online)
- “Understanding Geometric Algebra for Electromagnetic Theory“ by John W. Arthur (online)
- “Electrodynamics: A Modern Geometric Approach Corrected Edition” by William Baylis (online)
- Electromagnetism using Geometric Algebra versus Components (online)