Four Equations
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A Different Equation Method For Solving Simultaneous Linear Equations In Four Unknowns
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Author : James M. Yang
language : en
Publisher:
Release Date : 1963
A Different Equation Method For Solving Simultaneous Linear Equations In Four Unknowns written by James M. Yang and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1963 with Mathematics categories.
The Seiberg Witten Equations And Applications To The Topology Of Smooth Four Manifolds
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Author : John W. Morgan
language : en
Publisher: Princeton University Press
Release Date : 1996
The Seiberg Witten Equations And Applications To The Topology Of Smooth Four Manifolds written by John W. Morgan and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Mathematics categories.
The recent introduction of the Seiberg-Witten invariants of smooth four-manifolds has revolutionized the study of those manifolds. The invariants are gauge-theoretic in nature and are close cousins of the much-studied SU(2)-invariants defined over fifteen years ago by Donaldson. On a practical level, the new invariants have proved to be more powerful and have led to a vast generalization of earlier results. This book is an introduction to the Seiberg-Witten invariants. The work begins with a review of the classical material on Spin c structures and their associated Dirac operators. Next comes a discussion of the Seiberg-Witten equations, which is set in the context of nonlinear elliptic operators on an appropriate infinite dimensional space of configurations. It is demonstrated that the space of solutions to these equations, called the Seiberg-Witten moduli space, is finite dimensional, and its dimension is then computed. In contrast to the SU(2)-case, the Seiberg-Witten moduli spaces are shown to be compact. The Seiberg-Witten invariant is then essentially the homology class in the space of configurations represented by the Seiberg-Witten moduli space. The last chapter gives a flavor for the applications of these new invariants by computing the invariants for most Kahler surfaces and then deriving some basic toological consequences for these surfaces.
4 Dimensional Painleve Type Equations
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Author : Kazuki Hiroe
language : en
Publisher:
Release Date : 2018
4 Dimensional Painleve Type Equations written by Kazuki Hiroe and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with Mathematics categories.
The Painlev� equations were discovered as nonlinear ordinary differential equations that define new special functions, and their importance has long been recognized. Since the 1990s, there have been many studies on various generalizations of the Painlev� equations such as discretizations, higher dimensional analogues, quantizations, and so on. The aim of this book is to provide a unified approach to understand higher dimensional analogues of the Painlev� equations from the viewpoint of the deformation theory of linear ordinary differential equations. Especially, a detailed study will be given when the phase spaces of their Hamiltonian systems are four dimensional. More specifically, starting from the classification of the Fuchsian equations with four accessory parameters, we construct a degeneration scheme of linear equations by considering confluences of singular points. Then we write down the Hamiltonians of the Painlev�-type equations associated with these resulting linear equations. The following topics are explained together with examples: spectral types of linear equations, a method to calculate the Hamiltonians, confluences of singularities and degenerations of the Painlev�-type equations, the correspondence between linear equations or their spectral types through the Laplace transform. In addition, Appendix 1 discusses symmetries of moduli spaces of linear equations. As its application, it is shown that the equations obtained in this book constitute a complete list of 4-dimensional Painlev�-type equations corresponding to unramified linear equations. Appendix 2 gives a list of the 4-dimensional Painlev�-type equations corresponding to ramified linear equations.Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets
Four Tensors The Mother Tongue Of Classical Physics
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Author : Reinhart Frosch
language : en
Publisher: vdf Hochschulverlag AG
Release Date : 2006
Four Tensors The Mother Tongue Of Classical Physics written by Reinhart Frosch and has been published by vdf Hochschulverlag AG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Calculus of tensors categories.
The Theory Of Everything
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Author : Todd Gooch
language : en
Publisher:
Release Date : 2015-08-27
The Theory Of Everything written by Todd Gooch and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-08-27 with categories.
The theory of everything, a 36 page booklet, works a sample problem of each of the four known forces -Gravity, Electromagnetism, the weak, and the strong force - using a single equation. Sir Isaac Newton missed something in his famous equation for force, F=ma. I caught it four hundred years later. He failed to consider mass as a vector instead of a scalar quantity. When the equation for the force of gravity is modified for this, all four types of force equations may be solved using a single equation. The book is almost completely mathematical physics and focuses almost solely on working the problems. Not a novel or light reading, made for the scientist wanting to verify the work, and is the prelude work to The Theory Of Everything:Supporting data, and applications of the vector mass which will be coming out soon. 4 forces, 1 equation, do the math for yourself, this is the theory of everything. Get your copy now, will be sure to become a collectors copy as soon as the new book comes out.
Differential Equations
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Author : K.D. Elworthy
language : en
Publisher: Routledge
Release Date : 2017-11-22
Differential Equations written by K.D. Elworthy and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-22 with Mathematics categories.
Presents recent developments in the areas of differential equations, dynamical systems, and control of finke and infinite dimensional systems. Focuses on current trends in differential equations and dynamical system research-from Darameterdependence of solutions to robui control laws for inflnite dimensional systems.
Bergman Operators For The Three And Four Dimensional Laplace Equations
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Author : Erwin Kreyszig
language : en
Publisher:
Release Date : 1961
Bergman Operators For The Three And Four Dimensional Laplace Equations written by Erwin Kreyszig and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1961 with Differential equations categories.
The function theoretical approach to elliptic partial differential equations, as developed by Bergman and others, leads to a general characterization of various basic properties of the corresponding solutions and may be regarded as a "translation principle" of results in complex analysis into theorems about those solutions.
Equations For Four Bar Linkage Function Generators
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Author : Charles Walter McLarnan
language : en
Publisher:
Release Date : 1963
Equations For Four Bar Linkage Function Generators written by Charles Walter McLarnan and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1963 with FORTRAN (Computer program language) categories.
Maxwell S Equations Of Electrodynamics
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Author : David Warren Ball
language : en
Publisher:
Release Date : 2012
Maxwell S Equations Of Electrodynamics written by David Warren Ball and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Electromagnetic theory categories.
Provides a concise yet complete discussion of Maxwell's four equations of electrodynamics - the fundamental theory of electricity, magnetism, and light. Written for a general audience, it guides readers step-by-step through the vector calculus and development of each equation. Pictures and diagrams illustrate what the equations mean in basic terms.
The Ten Equations That Rule The World
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Author : David Sumpter
language : en
Publisher: Flatiron Books
Release Date : 2021-08-24
The Ten Equations That Rule The World written by David Sumpter and has been published by Flatiron Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-08-24 with Business & Economics categories.
Is there a secret formula for getting rich? For going viral? For deciding how long to stick with your current job, Netflix series, or even relationship? This book is all about the equations that make our world go round. Ten of them, in fact. They are integral to everything from investment banking to betting companies and social media giants. And they can help you to increase your chance of success, guard against financial loss, live more healthfully, and see through scaremongering. They are known by only the privileged few - until now. With wit and clarity, mathematician David Sumpter shows that it isn't the technical details that make these formulas so successful. It is the way they allow mathematicians to view problems from a different angle - a way of seeing the world that anyone can learn. Empowering and illuminating, The Ten Equations shows how math really can change your life.