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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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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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This historical account traces the discovery of a singular wave in 1834 to the development of modern soliton theory. It describes deep connections between soliton theory and nonlinear continuum mechanics, with wide applications for research scientists and advanced students.
This historical account traces the discovery of a singular wave in 1834 to the development of modern soliton theory. It describes deep connections between soliton theory and nonlinear continuum mechanics, with wide applications for research scientists and advanced students.
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A major problem of contemporary physics is the incompatibility of its two greatest theories: quantum mechanics and general relativity. There is a lack of an over-arching framework to unite them. This book provides an accessible guideline to a possible framework.
A major problem of contemporary physics is the incompatibility of its two greatest theories: quantum mechanics and general relativity. There is a lack of an over-arching framework to unite them. This book provides an accessible guideline to a possible framework.
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Semirings are used in cryptography as their additive operation lacks an inverse, preventing cryptosystem breakage. This book describes such protocols and the hard math their security is based on, appealing to cryptographers and specialists in applied algebra.
Semirings are used in cryptography as their additive operation lacks an inverse, preventing cryptosystem breakage. This book describes such protocols and the hard math their security is based on, appealing to cryptographers and specialists in applied algebra.
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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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The Origin of Geometry in India
A Study in the Śulbasūtras
The ancient Śulbasūtras, composed from 600BCE, were rule-books for making and arranging bricks, and represent the first available texts of both geometry and mensuration. This publication uses them as a lens to view the origin of geometry in India and elsewhere.
The ancient Śulbasūtras, composed from 600BCE, were rule-books for making and arranging bricks, and represent the first available texts of both geometry and mensuration. This publication uses them as a lens to view the origin of geometry in India and elsewhere.
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In multiplicative calculus, division and multiplication replace the roles of subtraction and addition. This book is devoted to multiplicative Euclidean and non-Euclidean geometry, summarizing the most recent contributions for mathematicians, physicists, engineers and biologists.
In multiplicative calculus, division and multiplication replace the roles of subtraction and addition. This book is devoted to multiplicative Euclidean and non-Euclidean geometry, summarizing the most recent contributions for mathematicians, physicists, engineers and biologists.
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Elements of Statistics
A Hands-on Primer
This book is a crucial resource for students intimidated by statistical symbols and equations. It prepares you for statistics courses without anxiety and serves as an excellent desk reference for new researchers. Its hands-on style helps you easily achieve statistical literacy.
This book is a crucial resource for students intimidated by statistical symbols and equations. It prepares you for statistics courses without anxiety and serves as an excellent desk reference for new researchers. Its hands-on style helps you easily achieve statistical literacy.
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This illustrated guide explores moiré patterns in 1D, 2D, 3D, and time. Learn to identify, distinguish, evaluate, and control the moiré effect, and to use it in modern technologies.
This illustrated guide explores moiré patterns in 1D, 2D, 3D, and time. Learn to identify, distinguish, evaluate, and control the moiré effect, and to use it in modern technologies.
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This volume explores the reliability of time-dependent models using a variety of concepts and techniques. It is for research-level courses in statistics, applied mathematics, and operations research, and for researchers requiring knowledge of applied probability.
This volume explores the reliability of time-dependent models using a variety of concepts and techniques. It is for research-level courses in statistics, applied mathematics, and operations research, and for researchers requiring knowledge of applied probability.
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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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This book presents the theory and methods of solving vector optimization problems. It mathematically proves an optimal solution, solving the problem for the first time, with applied methods for researchers modeling economic and engineering systems.
This book presents the theory and methods of solving vector optimization problems. It mathematically proves an optimal solution, solving the problem for the first time, with applied methods for researchers modeling economic and engineering systems.
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Digitalization leads to complex applications encoded by simple Boolean variables. However, their exponential growth creates challenges. This book gathers research on the Boolean domain to help readers solve these real-life scientific and practical tasks.
Digitalization leads to complex applications encoded by simple Boolean variables. However, their exponential growth creates challenges. This book gathers research on the Boolean domain to help readers solve these real-life scientific and practical tasks.
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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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This book provides a self-contained and accessible introduction to dynamical systems and differential geometry via MAPLE. It is suitable for graduate and advanced students in mathematics, engineering, and physics for both self-study and teaching a semester-long course.
This book provides a self-contained and accessible introduction to dynamical systems and differential geometry via MAPLE. It is suitable for graduate and advanced students in mathematics, engineering, and physics for both self-study and teaching a semester-long course.
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This is the first comprehensive book on algebraic topology. It provides a walk through its main tools, including homology groups and rational homotopy theory, and discusses real applications in fields like medicine and imagery. For students, professors, and researchers.
This is the first comprehensive book on algebraic topology. It provides a walk through its main tools, including homology groups and rational homotopy theory, and discusses real applications in fields like medicine and imagery. For students, professors, and researchers.
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This book presents basic results in functional and classical analysis, emphasizing convexity, optimization, and operator theory. It reveals the connection between linear and convex operators and establishes their relationship with other fields of mathematics and physics.
This book presents basic results in functional and classical analysis, emphasizing convexity, optimization, and operator theory. It reveals the connection between linear and convex operators and establishes their relationship with other fields of mathematics and physics.
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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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This second volume uses vector optimization to model economic systems. Chapters cover decision-making and modeling within companies, in market systems, and for forecasting.
This second volume uses vector optimization to model economic systems. Chapters cover decision-making and modeling within companies, in market systems, and for forecasting.
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