An introduction to geometric algebra and geometric calculus - Michael D. Taylor

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• This is an introduction to geometric algebra in n-dimensional Euclidean space and its application to manifolds and to calculus on manifolds.
• The treatment is moderately rigorous and is suitable for advanced undergraduates and beginning graduate students in mathematics though it should also be accessible to well-prepared students in physics, engineering, computer science, statistics, etc.
• Preparation in linear algebra and multivariable analysis as encountered in calculus as well as a modest amount of mathematical maturity should be sufficient.