Products related to Equations:
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Partial Differential Equations III : Nonlinear Equations
The third of three volumes on partial differential equations, this is devoted to nonlinear PDE.It treats a number of equations of classical continuum mechanics, including relativistic versions, as well as various equations arising in differential geometry, such as in the study of minimal surfaces, isometric imbedding, conformal deformation, harmonic maps, and prescribed Gauss curvature.In addition, some nonlinear diffusion problems are studied.It also introduces such analytical tools as the theory of L^p Sobolev spaces, Holder spaces, Hardy spaces, and Morrey spaces, and also a development of Calderon-Zygmund theory and paradifferential operator calculus.The book is targeted at graduate students in mathematics and at professional mathematicians with an interest in partial differential equations, mathematical physics, differential geometry, harmonic analysis, and complex analysis.The third edition further expands the material by incorporating new theorems and applications throughout the book, and by deepening connections and relating concepts across chapters. It includes new sections on rigid body motion, on probabilistic results related to random walks, on aspects of operator theory related to quantum mechanics, on overdetermined systems, and on the Euler equation for incompressible fluids. The appendices have also been updated with additional results, ranging from weak convergence of measures to the curvature of Kahler manifolds. Michael E. Taylor is a Professor of Mathematics at the University of North Carolina, Chapel Hill, NC. Review of first edition: “These volumes will be read by several generations of readers eager to learn the modern theory of partial differential equations of mathematical physics and the analysis in which this theory is rooted.”(Peter Lax, SIAM review, June 1998)
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Equations Dominoes
This 24 piece domino set promotes a deeper understanding of algebra through game play, solving simple equations using a letter to indicate an unknown value. Solve equations by matching each domino to one showing the correct value of x.
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Integral Equations
Designed for the postgraduate students of mathematics, the book on Integral Equations equips the students with an in-depth and single-source coverage of the complete spectrum of Integral Equations, including the basic concepts, Fredholm integral equations, separable and symmetric kernels, solutions of integral equations, classical Fredholm theory, integral transform method, and so on.Divided into eight chapters, the text addresses the doubts and concerns of the students.Examples given in the chapters inculcate the habit to try to solve more and more problems based on integral equations and create confidence in students. Bridging the gap between theory and practice, the book offers: Clear and concise presentation Systematic discussion of the conceptsNumerous worked-out examples to make the students aware of problem-solving methodologySufficient exercises containing ample unsolved questions along with their answersPractice questions with intermediate results to help students from practice point-of-view
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Partial Differential Equations II : Qualitative Studies of Linear Equations
This second in the series of three volumes builds upon the basic theory of linear PDE given in volume 1, and pursues more advanced topics.Analytical tools introduced here include pseudodifferential operators, the functional analysis of self-adjoint operators, and Wiener measure.The book also develops basic differential geometrical concepts, centered about curvature.Topics covered include spectral theory of elliptic differential operators, the theory of scattering of waves by obstacles, index theory for Dirac operators, and Brownian motion and diffusion.The book is targeted at graduate students in mathematics and at professional mathematicians with an interest in partial differential equations, mathematical physics, differential geometry, harmonic analysis, and complex analysis. The third edition further expands the material by incorporating new theorems and applications throughout the book, and by deepening connections and relating concepts across chapters.It includes new sections on rigid body motion, on probabilistic results related to random walks, on aspects of operator theory related to quantum mechanics, on overdetermined systems, and on the Euler equation for incompressible fluids. The appendices have also been updated with additional results, ranging from weak convergence of measures to the curvature of Kahler manifolds. Michael E. Taylor is a Professor of Mathematics at the University of North Carolina, Chapel Hill, NC. Review of first edition: “These volumes will be read by several generations of readers eager to learn the modern theory of partial differential equations of mathematical physics and the analysis in which this theory is rooted.”(Peter Lax, SIAM review, June 1998)
Price: 64.99 £ | Shipping*: 0.00 £
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What is spatial visualization ability?
Spatial visualization ability refers to the capacity to mentally manipulate and comprehend spatial relationships between objects. Individuals with strong spatial visualization skills can easily visualize and understand how objects relate to each other in space, such as rotating or manipulating shapes in their mind. This ability is crucial in various fields such as engineering, architecture, and mathematics, as it allows individuals to solve complex problems and understand spatial concepts more effectively. Improving spatial visualization ability can enhance problem-solving skills and overall cognitive performance.
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Is spatial visualization important for engineers?
Yes, spatial visualization is important for engineers as it allows them to mentally manipulate and understand complex 3D objects and structures. Engineers often need to design and analyze various components and systems, and spatial visualization skills help them to conceptualize and communicate their ideas effectively. Whether it's designing a new product, creating blueprints for a building, or solving complex problems, spatial visualization is a crucial skill that allows engineers to think critically and innovate in their field.
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Can one improve their spatial visualization skills?
Yes, it is possible to improve spatial visualization skills through practice and training. Engaging in activities such as puzzles, building models, and playing spatial reasoning games can help develop these skills. Additionally, practicing mental rotation exercises and regularly challenging oneself with spatial tasks can also contribute to improvement. With consistent effort and dedication, individuals can enhance their spatial visualization abilities over time.
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What are problems with spatial visualization skills?
Some problems with spatial visualization skills include difficulty in understanding and interpreting maps, graphs, and diagrams. Individuals with poor spatial visualization skills may struggle with tasks such as navigating through unfamiliar environments, understanding 3D objects, and mentally rotating objects. This can impact their performance in subjects such as math, science, and engineering, as well as in everyday activities such as driving and assembling furniture. Additionally, poor spatial visualization skills can lead to frustration and decreased confidence in one's abilities.
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Advanced Spatial Modeling with Stochastic Partial Differential Equations Using R and INLA
Modeling spatial and spatio-temporal continuous processes is an important and challenging problem in spatial statistics.Advanced Spatial Modeling with Stochastic Partial Differential Equations Using R and INLA describes in detail the stochastic partial differential equations (SPDE) approach for modeling continuous spatial processes with a Matérn covariance, which has been implemented using the integrated nested Laplace approximation (INLA) in the R-INLA package.Key concepts about modeling spatial processes and the SPDE approach are explained with examples using simulated data and real applications. This book has been authored by leading experts in spatial statistics, including the main developers of the INLA and SPDE methodologies and the R-INLA package.It also includes a wide range of applications:* Spatial and spatio-temporal models for continuous outcomes* Analysis of spatial and spatio-temporal point patterns* Coregionalization spatial and spatio-temporal models* Measurement error spatial models* Modeling preferential sampling* Spatial and spatio-temporal models with physical barriers* Survival analysis with spatial effects* Dynamic space-time regression* Spatial and spatio-temporal models for extremes* Hurdle models with spatial effects* Penalized Complexity priors for spatial modelsAll the examples in the book are fully reproducible.Further information about this book, as well as the R code and datasets used, is available from the book website at http://www.r-inla.org/spde-book. The tools described in this book will be useful to researchers in many fields such as biostatistics, spatial statistics, environmental sciences, epidemiology, ecology and others.Graduate and Ph.D. students will also find this book and associated files a valuable resource to learn INLA and the SPDE approach for spatial modeling.
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Ordinary Differential Equations
The first two chapters of this book have been thoroughly revised and sig nificantly expanded.Sections have been added on elementary methods of in tegration (on homogeneous and inhomogeneous first-order linear equations and on homogeneous and quasi-homogeneous equations), on first-order linear and quasi-linear partial differential equations, on equations not solved for the derivative, and on Sturm's theorems on the zeros of second-order linear equa tions.Thus the new edition contains all the questions of the current syllabus in the theory of ordinary differential equations.In discussing special devices for integration the author has tried through out to lay bare the geometric essence of the methods being studied and to show how these methods work in applications, especially in mechanics.Thus to solve an inhomogeneous linear equation we introduce the delta-function and calculate the retarded Green's function; quasi-homogeneous equations lead to the theory of similarity and the law of universal gravitation, while the theorem on differentiability of the solution with respect to the initial conditions leads to the study of the relative motion of celestial bodies in neighboring orbits.The author has permitted himself to include some historical digressions in this preface.Differential equations were invented by Newton (1642-1727).
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Calculus Equations & Answers
For every student who has ever found the answer to a particular calculus equation elusive or a certain theorem impossible to remember, QuickStudy comes to the rescue!This 3-panel (6-page) comprehensive guide offers clear and concise examples, detailed explanations and colorful graphsaall guaranteed to make calculus a breeze!Easy-to-use icons help students go right to the equations and problems they need to learn, and call out helpful tips to use and common pitfalls to avoid.
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The Equations World
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What is the function of spatial visualization ability?
Spatial visualization ability allows individuals to mentally manipulate and understand spatial relationships between objects. This ability is crucial in fields such as engineering, architecture, and design, where individuals need to visualize and manipulate complex 3D objects and structures. It also plays a key role in tasks such as navigation, map reading, and understanding geometric concepts. Overall, spatial visualization ability is important for problem-solving, creativity, and understanding the physical world.
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What are fractional equations and quadratic equations?
Fractional equations are equations that contain fractions with variables in the numerator or denominator. These equations involve solving for the variable in order to find the value that satisfies the equation. On the other hand, quadratic equations are equations that involve a variable raised to the second power, resulting in a parabolic curve when graphed. Quadratic equations can be solved using methods such as factoring, completing the square, or using the quadratic formula.
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Are the chemical equations and ionic equations correct?
Without specific examples of the chemical equations and ionic equations in question, it is difficult to determine their correctness. However, chemical equations should accurately represent the reactants and products involved in a chemical reaction, while ionic equations should accurately represent the dissociation of ionic compounds into their constituent ions. It is important to ensure that charges are balanced and that the equations follow the rules of chemical reactions and ionic dissociation. If you provide specific examples, I would be happy to help you determine their correctness.
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Are equations the same as systems of equations?
No, equations and systems of equations are not the same. An equation is a mathematical statement that shows the equality of two expressions, while a system of equations is a set of multiple equations that are to be solved simultaneously. In a system of equations, there are multiple unknown variables and the goal is to find the values of these variables that satisfy all the equations in the system. Therefore, while an equation represents a single relationship, a system of equations represents multiple relationships that need to be solved together.
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