| Overview of GC | |
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| Evolution of GC | |
| Intro to GA | |
| Found Math Phys | |
| Universal GC | |
| SpaceTime Calc | |
| GA in QM | |
| GC Gravity | |
| Comp. Geometry | |
| Books on GA/GC | |
| Infer Calc | |
| Modeling | |
| Links |
Agenda. This web site is dedicated to perfecting a universal mathematical language for science, extending its applications and promoting it throughout the scientific community. It advocates a universal scientific language grounded in an integrated Geometric and Inferential Calculus.
Geometric Calculus is a mathematical language for expressing and elaborating geometric concepts. Spacetime algebra is an application of this language to model physical space and time. It is the core of a universal language for physics, providing invariant formulations of basic equations and a powerful computational engine for deducing their consequences.
Inferential Calculus integrates deductive and statistical inference into a coherent system for matching scientific models to empirical data. It provides a unified framework for data analysis, image/signaling processing and hypothesis testing from incomplete data. Thus, it supports the semantic bridge between theoretical constructs and empirical realities.
Modeling. Scientists make sense of the real world by constructing models to represent the structure of things and processes within it. Geometric Calculus provides a rich language for the construction and analysis of mathematical models. Inferential Calculus provides a framework for their empirical validation.
This site is devoted primarily to the development of Geometric Calculus with many applications to modeling in physics, mostly the work of David Hestenes. A companion web site on Geometric Algebra is at the Cavendish Laboratory, University of Cambridge. Inferential Calculus and Modeling are treated in greater depth at other sites.
| Overview of GC | New: Oersted Medal Lecture on Geometric Algebra in Physics |
| Evolution of GC | On the Evolution of Geometric Calculus |
| Intro to GA | Introduction to Geometric Algebra |
| Found Math Phys | New Foundations for Mathematical Physics |
| Universal GC | Universal Geometric Calculus |
| SpaceTime Calc | SpaceTime Calculus |
| GA in QM | Selected Papers on Geometric Algebra in Quantum Mechanics |
| GC Gravity | Geometric Calculus in Gravity Theory |
| Comp. Geometry | Computational Geometry (New: papers on symmetry in crystals and mechanics.) |
| Books on GA/GC | Books on Geometric Algebra and Geometric Calculus |
| Infer Calc | Inferential Calculus |
| Modeling | Modeling. |
| Links | Links to Other Sites |
Please report all matters of ambiguous content or mathematical accuracy of the papers and other works directly to hestenes@asu.edu.
Last modified on 15 July 2007.
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