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 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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How are linear equations used in real-life applications?
Linear equations are used in real-life applications to model various situations such as calculating costs, predicting sales, and analyzing trends. For example, businesses use linear equations to determine pricing strategies based on production costs and desired profit margins. Engineers use linear equations to design structures and systems by analyzing forces and stresses. Additionally, linear equations are used in physics to describe motion, electricity, and other natural phenomena. Overall, linear equations provide a mathematical framework to solve practical problems and make informed decisions in various fields.
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How are linear equations used in real-life situations?
Linear equations are used in real-life situations to model and solve problems involving relationships that are directly proportional. For example, they can be used in calculating costs, determining rates of change, predicting future values, and analyzing trends in various fields such as economics, engineering, physics, and business. By representing real-world scenarios with linear equations, individuals and organizations can make informed decisions and optimize their resources.
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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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The Equations World
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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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Physics Equations & Answers
Essential tool for physics laws, concepts, variables and equations, including sample problems, common pitfalls and helpful hints.
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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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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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What is the system of equations with three equations?
A system of equations with three equations is a set of three equations that are to be solved simultaneously. Each equation represents a relationship between variables, and the goal is to find the values of the variables that satisfy all three equations at the same time. The general form of a system of three equations is: a1x + b1y + c1z = d1 a2x + b2y + c2z = d2 a3x + b3y + c3z = d3 Where x, y, and z are the variables, and a1, b1, c1, d1, etc. are the coefficients and constants of the equations.
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Which of the following equations are not linear equations?
The following equations are not linear equations: 1. y = x^2 - 3x + 2 - This is a quadratic equation because it contains a squared term. 2. 3xy + 2 = 8 - This is not a linear equation because it contains a product of x and y. 3. 2x^3 + 5x - 1 = 0 - This is a cubic equation because it contains a cubed term. 4. y = 2^x - This is an exponential equation because it contains a variable in the exponent.
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How do I convert ratio equations into product equations?
To convert ratio equations into product equations, you can simply multiply both sides of the ratio equation by the same number. For example, if you have the ratio equation 2:3 = 4:6, you can convert it into a product equation by multiplying both sides by 3, resulting in 2*3 = 4*3, which simplifies to 6 = 12. This allows you to express the relationship between the two quantities in terms of their product rather than their ratio.
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