Visual Category Theory Brick by Brick, Part 0
Using LEGO® to Teach Abstract Mathematics
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.
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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.
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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.
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About the Author
Dmitry Vostokov
Dmitry Vostokov is an internationally recognized expert, speaker, educator, scientist, inventor, and author. He founded the pattern-oriented software diagnostics, forensics, and prognostics discipline (Systematic Software Diagnostics) and Software Diagnostics Institute. Vostokov has also authored over 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 over 30 years of experience in software architecture, design, development, and maintenance in various industries, including leadership, technical, and people management roles. Dmitry founded OpenTask Iterative and Incremental Publishing and Software Diagnostics Technology and Services (former Memory Dump Analysis Services). In his spare time, he explores Software Narratology and Quantum Software Diagnostics. His interest areas are theoretical software diagnostics and its mathematical and computer science foundations, application of formal logic, semiotics, 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 functional programming, cloud native computing, monitoring, observability, visualization, security, automation, applications of category theory to software diagnostics, development and big data, and diagnostics of artificial intelligence.
Episode 213
An Interview with Dmitry Vostokov
Contents
Table of Contents
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