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Applied Mathematics Free Books


"APPLIED MATHEMATICS" USES MATHEMATICAL TOOLS TO SOLVE REAL-WORLD PROBLEMS IN SCIENCE, ENGINEERING, TECHNOLOGY, AND ECONOMICS. It focuses on creating models, analyzing systems, and finding practical solutions that support better understanding and decision-making. Key areas include differential equations, probability and statistics, optimization, and numerical methods. These techniques are widely used in climate modeling, aviation, finance, data science, and engineering, connecting theory with practical applications.


To support learners, many free Applied Mathematics books are available from open-access and academic sources. These resources help students, researchers, and educators learn advanced concepts legally and without cost, promoting accessible and high-quality mathematical education worldwide.

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Free Applied Mathematics Books
Applied Finite Mathematics by Roberta Bloom - PDF
This book explains how "finite mathematics" is used to solve real-world problems in business and social sciences. The book focuses on "problem-solving" skills using topics like matrices, probability, and finance, helping students apply "applied mathematics" concepts in practical and everyday situations.
Applied Mathematics Ferroelectricity & Piezoelectricity
This book explains how "ferroelectric materials", "piezoelectric effects", and "mathematical modeling" are used to understand smart materials. The book clearly shows how equations connect electrical fields and mechanical behavior, helping engineers apply theory to real devices and material systems.
Bayesian Methods in the Search for MH370 by Sam Davey
This textbook explains how "Bayesian statistics" were used to analyze limited flight data and estimate the most likely path of MH370. The book shows how "probability modeling" and "particle filtering" helped guide real-world search decisions under uncertainty.
Data Assimilation: Mathematical Introduction - Kody Law
This book explains how "data assimilation" combines mathematical models with real observations to improve predictions. Using a "Bayesian framework", the book shows how uncertainty is managed through filtering and modeling, making it a valuable introduction to "applied mathematics" and scientific computing.
Fuzzy Mathematics by Etienne Kerre, John Mordeson - PDF
This textbook explains how "fuzzy logic", "uncertainty modeling", and "fuzzy sets" help represent imprecise information. The book offers clear mathematical ideas and examples, making it useful for students and researchers working with uncertainty in mathematics, computer science, and applied sciences.
Making Presentation Math Computable- Greiner-Petter PDF
This book explains how "LaTeX mathematics", "computable formulas", and "symbolic computation" can work together. The book shows how adding meaning to written math helps computers understand equations, reducing manual rewriting and improving accuracy in computer algebra systems and digital math tools.
Mathematics for Game Developers by Denny Burzynski
This text teaches how "game mathematics", "vectors", and "3D geometry" are used in real games. It explains movement, physics, and graphics in simple language, helping developers apply math directly to gameplay, animation, and game engine systems without complex formulas.
Mathematics for the Environment by Martin Walter - PDF
This textbook explains how mathematics helps understand climate, ecosystems, and natural processes. Martin Walter uses real examples to show how models and data describe environmental change. The book focuses on practical learning through "environmental mathematics", "mathematical modeling", and "sustainability".
Probability in Electrical Engineering by Walrand - PDF
This book explains probability using real examples from engineering and computing. It shows how randomness helps model networks, algorithms, and data systems. The book focuses on practical understanding through "applied probability", "engineering systems", and "stochastic modeling" for real-world problem solving.
Seven Sketches in Compositionality, Brendan Fong - PDF
This book introduces applied category theory using simple examples from real systems. It show how diagrams and composition help understand complex ideas clearly. The book encourages practical thinking across science and computing through "compositionality", "category theory", and "systems thinking".
Solved Problems in Nonlinear Oscillations - Zeng He PDF
This book explains nonlinear vibration concepts through "worked examples", "nonlinear dynamics", and "vibration analysis". The book provides solutions that help students and engineers understand oscillatory behavior, stability, and system response, making complex topics easier to learn and apply in real engineering problems.
Theory and Applications of Ordered Fuzzy Numbers - PDF
This textbook explains how ordered fuzzy numbers extend classical fuzzy logic to better model uncertainty and trends. The book combines clear theory with practical examples from real systems. It supports better reasoning through "ordered fuzzy numbers", "fuzzy logic", and "uncertainty modeling".

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