Beyond Limits: Infinitesimals, Abstract Algebra, Category Theory, Synthetic Differential Geometry, and Automatic Differentiation
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Beyond Limits: Infinitesimals, Abstract Algebra, Category Theory, Synthetic Differential Geometry, and Automatic Differentiation

by Stephen Fratini

Mathematics Advanced Math category theory abstract algebra
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Beyond Limits brings together infinitesimals, abstract algebra, category theory, synthetic differential geometry, and automatic differentiation. It offers readers a concise exploration of advanced mathematical concepts and their connections, making it a useful reference for anyone interested in modern mathematical theory, abstraction, geometry, and computation.

About This Book

Beyond Limits examines a range of advanced mathematical subjects connected by the study of structure, abstraction, and computation.

The book covers infinitesimals, abstract algebra, category theory, synthetic differential geometry, and automatic differentiation.

It is intended for readers seeking an organized introduction to these specialized areas of mathematics.

With its broad scope, the book highlights the relationships among theoretical mathematics, geometry, and computational methods.

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I will be using this book for: