GA Resources

Copyright:  by Timoalho (https://github.com/ga/Resources) A curated list of geometric algebra Resources, inspired by awesome Lis Ts.

Introductions to GA

• Imaginary Numbers is not Real by Stephen Gull, Anthony Lasenby, and Chris Doran
• Oersted Medal lecture 2002:reforming The mathematical Language of Physics by David Hestenes
• A Survey of geometric Algebra & geometric calculus by Alan MacDonald
• Geometric Algebra by Eric Chisolm, good for learning the technical details

Books

• Space-Time Algebra by David Hestenes
• Geometric Algebra for physicists by Chris Doran and Anthony Lasenby
• Linear and geometric Algebra and Vector and geometric calculus by Alan Macdonald
• Geometric Algebra for Computer science, a Object oriented approach to Geometry by Leo Dorst, Daniel fontijne and Stephen Mann
• Geometric Algebra with applications in Engineering by Christian Perwass
• Foundations of geometric Algebra Computing by Dietmar Hildenbrand

Contribution

The goal is to eventually use a peer curation process for maintaining this repo once a sufficient number of people are par Ticipating in the organization. Until then, the just submit requests or open an issue.

Note: Please open this calculator  with cell phone, computer access please press F12 to open the debug mode, and then switch to the mobile phone UI simulation display, the switch method is shown below the description address: Http://www.gagis.cn/gares/gacalc (recommended first to read the instructions) Copyright note: The project’s author is Enkimute, project source code see: Https://github.com/enkimute/ganja.js Function Description:

1) main interface

2) switch to the Phone UI mode (in the case of Chrome core browser) F12 Open Development mode, You can see a phone/tablet icon in the upper left corner of the development panel, click on the logo to simulate the UI mode, and select the device model and resolution at the top of the page.

3) Space selection (cue area) Input Panel of the first row of buttons, after selection, you can display space Metrix information in the Space display box, while the Input Panel highlights the available space base vectors and operators, the gray unavailable vector is not clickable.

4) expression input Input Panel below is an expression input box, where the lower left corner is a numeric entry, the middle is a symbol and the basic operator, the lower right corner for the pending parameter input (for equation solving)

5) Results display expression input completed, press “=”, the results display window will display results

6) prompt In the cue area can also display the history of the calculation process, clear the input button in the lower left corner, there is a less clear function of the button can first press the upper right corner?Then click the corresponding button, you can display the Help information in the prompt area.+1,2,3,4 examples of the text can be displayed.   Address: Http://www.gagis.cn/gares/gacalc

Address: Http://www.gagis.cn/gares/gaexample (recommended look at the instructions first ) Copyright note: The project’s author is Enkimute, project source see: Https://github.com/enkimute/ganja.js Function Description:

1) The main interface

2) space selection (① area in the interface) select a specific space to filter the case

3) case selection (② area in the interface) Select the case to be demonstrated with the color corresponding to the space in the ① area, which can be filtered by clicking on a specific space in the ① area.

4) View (③ area in the interface) after selecting a case, a graphic is displayed in the view, and some of the graphics can be manipulated by the mouse.

5) Code area (④ area in the interface) after selecting a case, the code for the case is displayed in the area, which can be modified directly, and a run Change button appears in the View area to show the changes in real time in the view.   Address: Http://www.gagis.cn/gares/gaexample

At the invitation of Professor Nadia Magnenat Thalmann, Chairman of the International Graphics Conference, 2018, Yu Haoyuan, Zhou Liangchen, and Hu Di traveled to Singapore and Indonesia on June 10, 2018 to participate in the International Graphics Conference in 2018, and made a report entitled “The Application of Geometry Algebra in the Frontier of GIS” and “The Expression of Hierarchical Network MVTree Based on Geometric Algebra Subspace”,As the representative of the 2018 ENGAGE Workshop Organizing Committee, Prof. Yu Zhaoyuan presented the best thesis (theory) and the best paper (applied) award to Stephane Breuils of Paris East University and Adam Leon Klepp of Norwegian University of Science and Technology.

On May 24th, three students from the labs Zhu Shuai, Yuan Shuai and Shi Gege respectively gave a thesis defense on the ‘Hierarchical Construction and Analysis Method of Road Networks Based on Geometric Algebra ’, ‘ynamic Evacuation Method of Multi-targets under Scene Constraints based on Geometric Algebra’, and ‘Geometric algebra expression and analytic method of geography object semantics’ conferences in the 23rd conference room of the Academy of Sciences. All the students passed the assessment smoothly.