Sign-In
Cart
Mathematical Concepts in Software Diagnostics and Software Data Analysis: Three levels of explanation, with terminology and practical value
Paperback
DatabasesGeneral MathematicsProgramming
ISBN13: 9781919135038
Publisher: Opentask
Published: Sep 21 2026
Pages: 216
Weight: 1.55
Height: 0.56 Width: 8.50 Depth: 11.00
Language: English
Mathematical concepts provide additional viewpoints for software diagnostics and software data analysis. We can consider a trace as a sequence of messages, a collection of activities, or a structure of relationships. Changing the viewpoint allows us to ask different questions about the same software evidence.
In Mathematical Concepts in Software Diagnostics and Software Data Analysis, we introduce 85 concepts and explore their diagnostic interpretations. These range from graphs, equivalence relations, and partially ordered sets to sheaves, category theory, and ideas from mathematical physics. We consider how such concepts help us describe software behavior, compare execution structures, organize observations, and reason about incomplete evidence.
Each concept is explained at three levels: an intuitive explanation requiring no mathematical knowledge, an undergraduate treatment, and a graduate perspective. Every two-page entry includes an illustration, explanations of terminology, readings of formulas in ordinary language, and a discussion of practical value and applicability. Readers can begin with a concrete software example and return to the mathematical details as their understanding develops.
The concepts are arranged alphabetically for reference. Appendices provide mathematical foundations, classify the concepts, and connect them to their origins in analysis patterns and theoretical software diagnostics. Throughout the book, we distinguish formal constructions, structural analogies, and heuristic metaphors.
This guide is intended for software diagnosticians, developers, and researchers who want to extend their mathematical vocabulary and explore its use in pattern-oriented software data analysis.
Also from
Vostokov, Dmitry
Organic Chemistry Brick by Brick, Compound 1: Using LEGO(R) to Teach Structure and Reactivity
Vostokov, Dmitry
Paperback
Machine Learning Brick by Brick, Epoch 1: Using LEGO(R) to Teach Concepts, Algorithms, and Data Structures
Vostokov, Dmitry
Paperback
Accelerated Linux Disassembly, Reconstruction and Reversing: Training Course Transcript and GDB Practice Exercises with Memory Cell Diagrams, Second E
Vostokov, Dmitry
Software Diagnostics Services
Paperback
Accelerated Windows Debugging 4D: Training Course Transcript and WinDbg Practice Exercises, Fourth Edition
Software Diagnostics Services
Vostokov, Dmitry
Paperback
Advanced Windows Memory Dump Analysis with Data Structures: Training Course Transcript and WinDbg Practice Exercises with Notes, Fifth Edition
Vostokov, Dmitry
Software Diagnostics Services
Dublin School of Security
Paperback
Memory Thinking for C & C++ Linux Diagnostics: Slides with Descriptions and Source Code Illustrations, Second Edition
Software Diagnostics Services
Dublin School of Security
Vostokov, Dmitry
Paperback
Pattern-Oriented Memory Forensics: A Pattern Language Approach, Revised Edition
Software Diagnostics Services
Vostokov, Dmitry
Software Diagnostics Institute
Paperback
Accelerated Linux Debugging 4D: Training Course Transcript with WinDbg, GDB, LLDB, rr, KDB, KGDB Practice Exercises
Software Diagnostics Services
Vostokov, Dmitry
Paperback
Fundamentals of Physical Memory Analysis: Anniversary Edition
Software Diagnostics Services
Vostokov, Dmitry
Paperback
Accelerated macOS Core Dump Analysis, Third Edition: Training Course Transcript with LLDB Practice Exercises
Software Diagnostics Services
Vostokov, Dmitry
Paperback
Accelerated Disassembly, Reconstruction and Reversing: Training Course Transcript and WinDbg Practice Exercises with Memory Cell Diagrams, Third Editi
Software Diagnostics Services
Vostokov, Dmitry
Paperback
Memory Dump Analysis Anthology: Color Supplement for Volumes 4-5, Revised Edition
Vostokov, Dmitry
Software Diagnostics Institute
Paperback
Accelerated Windows Malware Analysis with Memory Dumps: Training Course Transcript and WinDbg Practice Exercises, Third Edition
Vostokov, Dmitry
Software Diagnostics Services
Paperback
Memory Dump Analysis Anthology, Volume 1, Revised Edition
Vostokov, Dmitry
Software Diagnostics Institute
Paperback
Accelerated Linux Core Dump Analysis: Training Course Transcript with GDB and WinDbg Practice Exercises, Fourth Edition
Dublin School of Security
Vostokov, Dmitry
Software Diagnostics Services
Paperback
Accelerated .NET Memory Dump Analysis: Training Course Transcript with WinDbg and LLDB Practice Exercises, Seventh Edition
Vostokov, Dmitry
Software Diagnostics Services
Dublin School of Security
Paperback
Malware Narratives: An Introduction, Revised Edition
Software Diagnostics Services
Vostokov, Dmitry
Paperback
Extended Windows Memory Dump Analysis: Using and Writing WinDbg Extensions, Database and Event Stream Processing, Data Science and Visualization, Mach
Software Diagnostics Services
Dublin School of Security
Vostokov, Dmitry
Paperback
Memory Thinking for Rust: Slides with Descriptions and Source Code Illustrations, Second Edition
Software Diagnostics Services
Dublin School of Security
Vostokov, Dmitry
Paperback
Fundamentals of Trace and Log Analysis: A Pattern-Oriented Approach to Monitoring, Diagnostics, and Debugging
Vostokov, Dmitry
Paperback
Memory Dump Analysis Anthology Collector's Revised Edition, Volume 1
Software Diagnostics Institute
Vostokov, Dmitry
Hardcover
Introduction to Pattern-Driven Software Problem Solving
Vostokov, Dmitry
Software Diagnostics Services
Paperback
Accelerated Mac OS X Core Dump Analysis, Second Edition: Training Course Transcript with GDB and LLDB Practice Exercises
Vostokov, Dmitry
Software Diagnostics Services
Paperback
Memory Dump Analysis Anthology: Color Supplement for Volumes 1-3, Revised Edition
Software Diagnostics Institute
Vostokov, Dmitry
Paperback
Theoretical Software Diagnostics: Collected Articles, Fourth Edition
Vostokov, Dmitry
Software Diagnostics Institute
Paperback
Practical Foundations of Windows Debugging, Disassembling, Reversing: Training Course, Third Edition
Dublin School of Security
Vostokov, Dmitry
Software Diagnostics Services
Paperback
Memory Dump Analysis Anthology, Volume 2, Revised Edition
Vostokov, Dmitry
Software Diagnostics Institute
Paperback
Memory Dump Analysis Anthology, Volume 3, Revised Edition
Software Diagnostics Institute
Vostokov, Dmitry
Paperback
Memory Dump Analysis Anthology, Volume 4, Revised Edition
Vostokov, Dmitry
Software Diagnostics Institute
Paperback
Memory Dump Analysis Anthology, Volume 5, Revised Edition
Software Diagnostics Institute
Vostokov, Dmitry
Paperback
Memory Dump Analysis Anthology: Color Supplement for Volumes 6-7
Vostokov, Dmitry
Software Diagnostics Institute
Paperback
Accelerated Windows Memory Dump Analysis, Sixth Edition, Part 2, Kernel and Complete Spaces: Training Course Transcript and WinDbg Practice Exercises
Vostokov, Dmitry
Software Diagnostics Services
Paperback
Accelerated Rust Windows Memory Dump Analysis
Vostokov, Dmitry
Software Diagnostics Services
Dublin School of Security
Paperback
Encyclopedia of Crash Dump Analysis Patterns, Volume 2, L-Z: Detecting Abnormal Software Structure and Behavior in Computer Memory, Third Edition
Vostokov, Dmitry
Software Diagnostics Institute
Paperback
Memory Thinking for C & C++ Windows Diagnostics: Slides with Descriptions and Source Code Illustrations, Second Edition
Software Diagnostics Services
Dublin School of Security
Vostokov, Dmitry
Paperback
Encyclopedia of Crash Dump Analysis Patterns, Volume 1, A-J: Detecting Abnormal Software Structure and Behavior in Computer Memory, Third Edition
Vostokov, Dmitry
Software Diagnostics Institute
Paperback
Accelerated Linux API for Software Diagnostics: With Category Theory in View
Software Diagnostics Services
Vostokov, Dmitry
Paperback
Trace, Log, Text, Narrative, Data: An Analysis Pattern Reference for Information Mining, Diagnostics, Anomaly Detection, Fifth Edition
Software Diagnostics Institute
Vostokov, Dmitry
Paperback
Accelerated Windows API for Software Diagnostics: With Category Theory in View, Second Edition
Vostokov, Dmitry
Software Diagnostics Services
Dublin School of Security
Paperback
Accelerated Windows Memory Dump Analysis, Sixth Edition, Part 1, Process User Space: Training Course Transcript and WinDbg Practice Exercises with Not
Vostokov, Dmitry
Software Diagnostics Services
Paperback
Python Debugging for Ai, Machine Learning, and Cloud Computing: A Pattern-Oriented Approach
Vostokov, Dmitry
Paperback
Also in
General Mathematics
The Golden Number: Pythagorean Rites and Rhythms in the Development of Western Civilization
Ghyka, Matila C.
Hardcover
How It All Works: All Scientific Laws and Phenomena Illustrated & Demonstrated
Dant, Adam
Clegg, Brian
Hardcover
Six Easy Pieces: Essentials of Physics Explained by Its Most Brilliant Teacher
Leighton, Robert B.
Sands, Matthew
Feynman, Richard P.
Paperback
Hidden Figures: The American Dream and the Untold Story of the Black Women Mathematicians Who Helped Win the Space Race
Shetterly, Margot Lee
Paperback
Oliver Byrne's Elements of Euclid: The First Six Books with Coloured Diagrams and Symbols (Art Meets Science Edition)
Art Meets Science
Hardcover
Math Practice Workbook Grades 6-8: 1000+ Questions You Need to Kill in Middle School by Brain Hunter Prep
Brain Hunter Prep
Paperback
The Art of Strategy: A Game Theorist's Guide to Success in Business and Life
Dixit, Avinash K.
Nalebuff, Barry J.
Paperback
WorkKeys Study Guide and Practice Test Questions: ACT WorkKeys Exam Prep and Review Book with Applied Mathematics, Locating Information, and Reading f
Trivium Exam Prep Team
Paperback
Who Gets What -- And Why: The New Economics of Matchmaking and Market Design
Roth, Alvin E.
Paperback
Tomoko Fuse's Amazing Kusudama Origami: Geometric Paper Art from Japan's Leading Expert!
Fuse, Tomoko
Paperback
Hidden Figures: The American Dream and the Untold Story of the Black Women Mathematicians Who Helped Win the Space Race
Shetterly, Margot Lee
Hardcover
Mastering Essential Math Skills Book 2, Bilingual Edition - English/Spanish
Fisher, Richard W.
Paperback
Counting with - Contando Con Frida (Bilingual: English/Spanish): A Bilingual Counting Book
Rodriguez, Patty
Stein, Ariana
Hardcover
Hidden Figures: The American Dream and the Untold Story of the Black Women Mathematicians Who Helped Win the Space Race
Shetterly, Margot Lee
Paperback
Math Games with Bad Drawings: 75 1/4 Simple, Challenging, Go-Anywhere Games--And Why They Matter
Orlin, Ben
Hardcover
50 Math Tricks That Will Change Your Life: Mentally Solve the Impossible in Seconds
Zakowich, Tanya
Paperback
The Great Math War: How Three Brilliant Minds Fought for the Foundations of Mathematics
Bardi, Jason Socrates
Hardcover
Quadrivium: The Four Classical Liberal Arts of Number, Geometry, Music, & Cosmology
Lundy, Miranda
Ashton, Anthony
Sutton, Daud
Hardcover
Touchthinklearn: Numbers: (Board Books for Baby Learners, Touch Feel Books for Children)
Deneux, Xavier
Hardcover
Graph Paper Composition Notebook: Quad Ruled 5x5, Grid Paper for Students in Math and Science
Wizo, Math
Paperback
Vector: A Surprising Story of Space, Time, and Mathematical Transformation
Arianrhod, Robyn
Hardcover
Quantum Mechanics Done Right: The Shortest Path from Novice to Researcher
Freericks, James K.
Hardcover
Un Elefante: Numbers / Números (Bilingual: English/Spanish): A Bilingual Counting Book
Rodriguez, Patty
Stein, Ariana
Hardcover
A Mind for Numbers: How to Excel at Math and Science (Even If You Flunked Algebra)
Oakley, Barbara
Paperback
New York Post Fiendish Sudoku: The Official Utterly Addictive Number-Placing Puzzle
Gould, Wayne
Paperback
ALEKS Math Placement Test Prep 2026: 1200 Verified Practice Questions with Accurate Answer Keys, Step-by-Step Worked Solutions, and Clear Concept Expl
Publishing, Kettford
Reid, Marcus L.
Paperback
Partial Differential Equations: Theory and Completely Solved Problems
Hillen, T.
Leonard, I. E.
Van Roessel, H.
Paperback
Secrets of Mental Math: The Mathemagician's Guide to Lightning Calculation and Amazing Math Tricks
Benjamin, Arthur
Shermer, Michael
Paperback
Building Thinking Classrooms in Mathematics, Grades K-12: 14 Teaching Practices for Enhancing Learning
Liljedahl, Peter
Paperback
Concrete Mathematics: A Foundation for Computer Science
Patashnik, Oren
Knuth, Donald
Graham, Ronald
Hardcover
180 Days(r) Math for First Grade: Practice, Assess, Diagnose
Smith, Jodene
Smith, Jodene Lynn
Paperback
Sudoku for Brain Fitness: 90-Day Challenge to Sharpen the Mind and Strengthen Cognitive Skills
Clontz, Steven
Demyanovich, Julie
Paperback
Number Systems and the Foundations of Analysis
Mendelson, Elliott
Dudley, Underwood
Mathematics
Paperback
Math Fundamentals 3 - Geometry: For Middle School - A Quickstudy Laminated Reference Guide
Wright, Susan
Expolog
Warren, Peggy
Other
Talentos Ocultos: La Genialidad No Tiene Color. La Fuerza No Tiene Género. El Valor No Tiene Límite.
Shetterly, Margot Lee
Paperback
It's All a Game: The History of Board Games from Monopoly to Settlers of Catan
Donovan, Tristan
Paperback
Reaching for the Extreme: How the Quest for the Biggest, Fewest, and Weirdest Makes Math
Stewart, Ian
Hardcover
The Beginner's Guide to Constructing the Universe: The Mathematical Archetypes of Nature, Art, and Science
Schneider, Michael S.
Paperback
Medical Dosage Calculations for Dummies
Snyder, Richard W.
Depuente, Vanessa
Schoenborn, Barry
Paperback
300 Math CrossWords: Addition, Subtraction, Multiplication, and Division Math CrossWords Grade 3 and Above, Age +8
Martin, Josh Ortiz
Paperback
Cybernetics: Or the Control and Communication in the Animal and the Machine
Wiener, Norbert
Paperback
Make: Physics: Build Projects to Explore Calculus-Based Mechanics
Horvath, Joan
Cameron, Rich
Paperback