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You can use this page to email Dmitry Vostokov about Visual Category Theory Brick by Brick, Part 0.
About the Book
This free to download and distribute Part 0 was added to Visual Category Theory Brick by Brick series to explain mathematical notation and other foundational aspects used in brick construction annotations. Some readers expressed concern that the notation used is unfamiliar to them, and I realized that not everyone is continuously reading books on mathematical logic and set theory or studied proper foundations of mathematical analysis where they encountered logical quantifiers. Part 0 covers universe and sets, set-builder notation, set membership, set inclusion, subsets as members, membership vs. subset, powerset, relations, functions, domain, codomain, range, injection, surjection, bijection, product, union, intersection, set difference, symmetric set difference, sets of functions, function composition, inverse functions. The cover subtitle alludes to an initial object in category theory introduced in Part 2.
About the Author
Dmitry Vostokov is an internationally recognized expert, speaker, educator, scientist, inventor, and author. He is the founder of pattern-oriented software diagnostics, forensics, and prognostics discipline (Systematic Software Diagnostics), and Software Diagnostics Institute. Vostokov has also authored more than 50 books on software diagnostics, anomaly detection and analysis, software and memory forensics, root cause analysis and problem solving, memory dump analysis, debugging, software trace and log analysis, reverse engineering and malware analysis. He has more than 25 years of experience in software architecture, design, development and maintenance in a variety of industries including leadership, technical and people management roles. Dmitry also founded Syndromatix, Anolog.io, BriteTrace, DiaThings, Logtellect, OpenTask Iterative and Incremental Publishing, Software Diagnostics Technology and Services (former Memory Dump Analysis Services), and Software Prognostics. In his spare time, he presents various topics on Debugging TV and explores Software Narratology, its further development as Narratology of Things and Diagnostics of Things (DoT), Software Pathology, and Quantum Software Diagnostics. His current areas of interest are theoretical software diagnostics and its mathematical and computer science foundations, application of formal logic, artificial intelligence, machine learning and data mining to diagnostics and anomaly detection, software diagnostics engineering and diagnostics-driven development, diagnostics workflow and interaction. Recent interest areas also include cloud native computing, security, automation, functional programming, applications of category theory to software diagnostics, development and big data, and diagnostics of artificial intelligence.