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This book provides a unifying framework for linear models in scientific data analysis. Unlike other texts, it uses a non-least squares approach. This allows for more complex models and simplifies proofs, making the theory easier to read and apply.
This book provides a unifying framework for linear models in scientific data analysis. Unlike other texts, it uses a non-least squares approach. This allows for more complex models and simplifies proofs, making the theory easier to read and apply.
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Explore mathematical concepts from historical and cultural perspectives. This book uses original material to offer new discoveries and re-interpretations of problems, from the abacus to integral calculus. An enthusiastic and rigorous read for educators and general readers alike.
Explore mathematical concepts from historical and cultural perspectives. This book uses original material to offer new discoveries and re-interpretations of problems, from the abacus to integral calculus. An enthusiastic and rigorous read for educators and general readers alike.
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Explore the wave and vibration equation, emphasizing singular solutions and physical content. This book covers applications from tsunamis and storm breakers to the ringing of bells and collapsing towers. For students, researchers, and engineers in physics and applied mathematics.
Explore the wave and vibration equation, emphasizing singular solutions and physical content. This book covers applications from tsunamis and storm breakers to the ringing of bells and collapsing towers. For students, researchers, and engineers in physics and applied mathematics.
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Go on a mathematical adventure that challenges you to think about the “why,” not just the “how.” Featuring relatable characters and real-world problems, this book brings complex topics to life. A fun and engaging read that trains your mind to think mathematically.
Go on a mathematical adventure that challenges you to think about the “why,” not just the “how.” Featuring relatable characters and real-world problems, this book brings complex topics to life. A fun and engaging read that trains your mind to think mathematically.
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This book covers the theory and practice of hypothesis testing: deciding on the plausibility of models based on data. Useful for researchers and practitioners at all levels, it discusses important practical problems and provides detailed algorithms for their solutions.
This book covers the theory and practice of hypothesis testing: deciding on the plausibility of models based on data. Useful for researchers and practitioners at all levels, it discusses important practical problems and provides detailed algorithms for their solutions.
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This book covers degenerate and singular elliptic equations, which appear in applications from glaciology to fluid mechanics. Based on the author's research, it is a useful reference for graduate students and researchers interested in differential equations.
This book covers degenerate and singular elliptic equations, which appear in applications from glaciology to fluid mechanics. Based on the author’s research, it is a useful reference for graduate students and researchers interested in differential equations.
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A tribute to universal mathematician Francisco Bulnes, whose contributions to pure and applied math are vital for future technologies and our understanding of the universe. Through anecdotes and analyses of his work, this book offers inspiration to PhD students and researchers.
A tribute to universal mathematician Francisco Bulnes, whose contributions to pure and applied math are vital for future technologies and our understanding of the universe. Through anecdotes and analyses of his work, this book offers inspiration to PhD students and researchers.
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For specialists in mathematics, science, and engineering, this guide applies numerical methods to solve complex systems. Explore techniques in C++, Maple, and MATLAB through practical case studies in data analysis, optimisation, and differential equations.
For specialists in mathematics, science, and engineering, this guide applies numerical methods to solve complex systems. Explore techniques in C++, Maple, and MATLAB through practical case studies in data analysis, optimisation, and differential equations.
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This book presents a clear introduction to first order partial dynamic equations (PDEs) on time scales. For senior undergraduate and graduate students of engineering and science, it offers proofs, numerous examples, exercises, and advanced practical problems with solutions.
This book presents a clear introduction to first order partial dynamic equations (PDEs) on time scales. For senior undergraduate and graduate students of engineering and science, it offers proofs, numerous examples, exercises, and advanced practical problems with solutions.
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Real-time State of Energy (SOE) estimation is crucial for lithium-ion battery safety and predicting the driving range of electric vehicles. This book details an optimized algorithm combining a fuzzy controller and a Kalman filter for fast, accurate, and robust SOE estimation.
Real-time State of Energy (SOE) estimation is crucial for lithium-ion battery safety and predicting the driving range of electric vehicles. This book details an optimized algorithm combining a fuzzy controller and a Kalman filter for fast, accurate, and robust SOE estimation.
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Uncover the beauty of Einstein's general relativity. This collection maps every possible trajectory of light and matter under gravity—even around a black hole—using elegant formulas and insightful graphs to visualize every conceivable orbit.
Uncover the beauty of Einstein’s general relativity. This collection maps every possible trajectory of light and matter under gravity—even around a black hole—using elegant formulas and insightful graphs to visualize every conceivable orbit.
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Computational Modeling by Case Study
All Models Are Uncertain
Mathematical models power the modern world, but they are all uncertain. This book provides techniques to quantify uncertainty, allowing you to predict and design with confidence. Learn through case studies and reproducible examples in Python adapted for your own problems.
Mathematical models power the modern world, but they are all uncertain. This book provides techniques to quantify uncertainty, allowing you to predict and design with confidence. Learn through case studies and reproducible examples in Python adapted for your own problems.
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This book compiles technical publications on the nonlinear analysis of icosahedrons. It covers static and dynamic characteristics, with topics ranging from large displacements and rotations to chaotic behaviour, and includes extensive experimentation.
This book compiles technical publications on the nonlinear analysis of icosahedrons. It covers static and dynamic characteristics, with topics ranging from large displacements and rotations to chaotic behaviour, and includes extensive experimentation.
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This book tackles the significant challenges of evolutionary processes with memory. It studies their properties by introducing a resolvent family to represent solutions, and explores the dual problem, solvability issues, invariant subspaces, and spectral theory.
This book tackles the significant challenges of evolutionary processes with memory. It studies their properties by introducing a resolvent family to represent solutions, and explores the dual problem, solvability issues, invariant subspaces, and spectral theory.
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This book provides a comprehensive background for analysis of the finite deformation of materials. It covers deformation geometry, stress measures, and balance laws, with applications in rubber elasticity and metal plasticity, including experiments and illustrations.
This book provides a comprehensive background for analysis of the finite deformation of materials. It covers deformation geometry, stress measures, and balance laws, with applications in rubber elasticity and metal plasticity, including experiments and illustrations.
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Master Elementary Algebra to succeed in mathematics. This book bridges the gap between school and university, helping undergraduates pass mathematical analysis courses. This material has been used to improve the skills of first-year engineering students for a decade.
Master Elementary Algebra to succeed in mathematics. This book bridges the gap between school and university, helping undergraduates pass mathematical analysis courses. This material has been used to improve the skills of first-year engineering students for a decade.
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Based on 60 years of research, this book reveals a powerful message: qualitative data is more informative than quantitative data. Learn how to analyze it quantitatively to extract more information, using simple illustrations of difficult topics that anyone can understand.
Based on 60 years of research, this book reveals a powerful message: qualitative data is more informative than quantitative data. Learn how to analyze it quantitatively to extract more information, using simple illustrations of difficult topics that anyone can understand.
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A Concise Course of Mathematics with Applications
A Conceptual Study
This book covers a vast range of mathematics, from logic, number theory, and algebra to calculus, topology, and geometry. It includes complex analysis, differential equations, and matrices, with applications in the natural and social sciences, from physics to economics.
This book covers a vast range of mathematics, from logic, number theory, and algebra to calculus, topology, and geometry. It includes complex analysis, differential equations, and matrices, with applications in the natural and social sciences, from physics to economics.
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An introduction to Graph Theory and Combinatorics and their Applications. Presented in a simple way with examples, it contains a wide variety of applications to real world Science and Engineering problems and includes multiple choice questions for competitive exams.
An introduction to Graph Theory and Combinatorics and their Applications. Presented in a simple way with examples, it contains a wide variety of applications to real world Science and Engineering problems and includes multiple choice questions for competitive exams.
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This book explains basic concepts of mathematical analysis, including functions, numerical sequences, convergence, and limits. It also covers the continuity and differentiability of functions, their applications, and the graphic representation of parametric functions.
This book explains basic concepts of mathematical analysis, including functions, numerical sequences, convergence, and limits. It also covers the continuity and differentiability of functions, their applications, and the graphic representation of parametric functions.
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