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Science & Mathematics - An Invitation to Applied Category Theory: Seven Sketches in Compositionality

Description

Book Synopsis: Category theory is unmatched in its ability to organize and layer abstractions and to find commonalities between structures of all sorts. No longer the exclusive preserve of pure mathematicians, it is now proving itself to be a powerful tool in science, informatics, and industry. By facilitating communication between communities and building rigorous bridges between disparate worlds, applied category theory has the potential to be a major organizing force. This book offers a self-contained tour of applied category theory. Each chapter follows a single thread motivated by a real-world application and discussed with category-theoretic tools. We see data migration as an adjoint functor, electrical circuits in terms of monoidal categories and operads, and collaborative design via enriched profunctors. All the relevant category theory, from simple to sophisticated, is introduced in an accessible way with many examples and exercises, making this an ideal guide even for those without experience of university-level mathematics.

Details

Discover the untapped power of category theory with "An Invitation to Applied Category Theory: Seven Sketches in Compositionality". This groundbreaking book transcends the boundaries of mathematics, bringing the immense potential of category theory into the realms of science, informatics, and industry. With its ability to organize and connect complex structures, category theory is proving to be a transformational tool for solving real-world problems.

Featuring a self-contained tour of applied category theory, this book breaks down complex concepts into easily understandable threads, each motivated by a real-world application. Whether you're a pure mathematician or a professional in a different field, this book will empower you to harness the power of category theory in your work.

From data migration as an adjoint functor to electrical circuits represented as monoidal categories and operads, this book explores a wide range of practical examples with category-theoretic tools. Each chapter provides clear explanations and exercises, ensuring that even those without a background in university-level mathematics can grasp the concepts and techniques presented.

Don't miss out on the opportunity to become a master of applied category theory. Take the first step towards transforming your approach to problem-solving and building rigorous bridges between disparate worlds. Order your copy of "An Invitation to Applied Category Theory: Seven Sketches in Compositionality" today and unlock the potential of this major organizing force.

Order now and embark on an exciting journey into the world of applied category theory!

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