David I Spivak Books

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.

Geared towards beginners with little or no experience in working with a Digital Audio Workstation, Make Music with Avid Pro Tools offers a solid foundation in this audio production software that can lead users anywhere in the world of audio production or music creation.

This book introduces category theory as a rigorous and coherent modeling language applicable across various scientific fields. Developed in the 1940s to unify mathematics, category theory has proven effective in facilitating communication among diverse mathematical areas. The text demonstrates its utility beyond mathematics, emphasizing the dynamic nature of information and the importance of translating organizational structures across disciplines. Written in an engaging style, it is accessible to non-mathematicians and assumes minimal mathematical background. The book begins with databases to introduce fundamental concepts such as sets and functions, progressing to essential mathematical notions like monoids, groups, orders, and graphs—essentially categories in disguise. It elaborates on the core concepts of category theory: categories, functors, and natural transformations, while also addressing limits, colimits, functor categories, sheaves, monads, and operads. The approach prioritizes examples and exercises over theorems and proofs, featuring over 300 exercises with solutions. This work aims to bridge the gap between mathematical concepts and the models used in scientific disciplines like computation, neuroscience, and physics.

This book familiarizes users with techniques needed to complete an video project with Avid Media Composer | Artist.. Each Lesson and exercise will focus on a phase of the editing process, starting with organizing media, assembling a sequence, refining a sequence, creating titles and effects, and outputting your program so that others can view it.

This book familiarizes users with techniques needed to complete an Avid Media Composer - First project. Each Lesson and exercise will focus on a phase of the editing process, starting with organizing media, assembling a sequence, refining a sequence, creating titles and effects, and outputting your program so that others can view it.

Is your life story going to be a gripping bestseller or a resignation letter? Dr David Fong helps you take a practical and sympathetic look at your life, and make some changes with his irreverent and down-to-earth coping advice and guidance.