
Differential Equations EBooks



Free Differential Equations EBooks for Download
Below we have listed all the Free Differential Equations EBooks for download. Feel free to comment on any Differential Equations EBooks for download or answer by the comment feature available on the page.
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Mastering Differential Equations:The Visual Method: For centuries, differential equations have been the key to unlocking nature's deepest secrets. Over 300 years ago, Isaac Newton invented differential equations to understand the problem of motion, and he developed calculus in order to solve differential equations. Since then, differential equations have been the essential tool for analyzing the process of change, whether in physics, engineering, biology, or any other field where it's important to predict how something behaves over time.
The pinnacle of a mathematics education, differential equations assume a basic knowledge of calculus, and they have traditionally required the rote memorization of a vast "cookbook" of formulas and specialized tricks needed to find explicit solutions. Even then, most problems involving differential equations had to be simplified, often in unrealistic ways; and a huge number of equations defied solution at all using these techniques.
But that was before computers revolutionized the field, extending the reach of differential equations into previously unexplored areas and allowing solutions to be approximated and displayed in easytograsp computer graphics. For the first time, a method exists that can start a committed learner on the road to mastering this beautiful application of the ideas and techniques of calculus.
Mastering Differential Equations: The Visual Method takes you on this amazing mathematical journey in 24 intellectually stimulating and visually engaging halfhour lectures taught by a pioneer of the visual approach, Professor Robert L. Devaney of Boston University, coauthor of one of the most widely used textbooks on ordinary differential equations. Date Added: 9/23/2011 10:48:15 PM  Visits: 8227 
MathTutor Differential Equations Vol. 1 First Order Equations: Differential equations is used in all branches of engineering and science. In essence, once a student begins to study more complex problems, nature usually obeys a differential equation which means that the equation involves one or more derivatives of the unknown variable. In other words, a differential equation involves the rate of change of a variable rather than the variable itself. The simplest example of this is F=ma. The "a" is acceleration which is the second derivative of the position of the object. Although differential equations may look simple to solve by just integration, they frequently require complex solution methods with many steps. This 10 hour DVD course teaches how to solve first order differential equations using fully worked example problems. All intermediate steps are shown along with graphing methods and applications of differential equations in science and engineering.
Date Added: 9/23/2011 10:44:55 PM  Visits: 8226 
Mastering Differential Equations The Visual Method: For centuries, differential equations have been the key to unlocking nature's deepest secrets. Over 300 years ago, Isaac Newton invented differential equations to understand the problem of motion, and he developed calculus in order to solve differential equations. Since then, differential equations have been the essential tool for analyzing the process of change, whether in physics, engineering, biology, or any other field where it's important to predict how something behaves over time. The pinnacle of a mathematics education, differential equations assume a basic knowledge of calculus, and they have traditionally required the rote memorization of a vast "cookbook" of formulas and specialized tricks needed to find explicit solutions. Even then, most problems involving differential equations had to be simplified, often in unrealistic ways; and a huge number of equations defied solution at all using these techniques. Date Added: 9/23/2011 10:44:02 PM  Visits: 8094 
The Differential Equations Tutor Volume 2  Higher Order Equations: Solving higher order differential equations is challenging for most students simply because the solution methods usually run several pages in length even for the easier problems. The student must identify the type of equation to solve and apply the appropriate solution method, which can lead to valuable lost time on an exam if the wrong solution method is chosen at the outset.
We begin by showing the student real life applications of second order and higher ODEs to provide motivation for the material. Next, we show how to solve elemenary second order ODEs, and show the student that all solutions have a similar form.
Next, we discuss linear independence of solutions and show the students how to use the wronskian test to determine of a set of functions describe the entire solution space of the ODE. Date Added: 9/23/2011 10:43:12 PM  Visits: 8132 
"Image Processing Based on Partial Differential Equations: Proceedings of the International Conference: This book publishes a collection of original scientific research articles that address the stateofart in using partial differential equations for image and signal processing. Coverage includes: level set methods for image segmentation and construction, denoising techniques, digital image inpainting, image dejittering, image registration, and fast numerical algorithms for solving these problems. Date Added: 9/23/2011 10:32:38 PM  Visits: 7975 
"Stochastic Differential Equations": differential equations and applications. D.W. Stroock, S.R.S. Varadhan: Theory of diffusion processes. G.C. Papanicolaou: Wave propagation and heat conduction in a random medium. C. Dewitt Morette: A stochastic problem in Physics. G.S. Goodman: The embedding problem for stochastic matrices. Date Added: 9/23/2011 10:31:10 PM  Visits: 8249 
The Differential Equations Tutor: Solving higher order differential equations is challenging for most students simply because the solution methods usually run several pages in length even for the easier problems. The student must identify the type of equation to solve and apply the appropriate solution method, which can lead to valuable lost time on an exam if the wrong solution method is chosen at the outset.
We begin by showing the student real life applications of second order and higher ODEs to provide motivation for the material. Next, we show how to solve elemenary second order ODEs, and show the student that all solutions have a similar form.
Next, we discuss linear independence of solutions and show the students how to use the wronskian test to determine of a set of functions describe the entire solution space of the ODE.
We then get into the core solution techniques which revolve around constant coefficient differential equations. We examine the case where the roots of the characteristic polynomial are real and complex separately, to give the student a good grounding in what to do in either case.
Date Added: 9/23/2011 10:30:30 PM  Visits: 8239 
Differential Equations with Boundary – Value Problems: Differential Equations with BoundaryValue Problems (7th Edition) strikes a balance between the analytical, qualitative, and quantitative approaches to the study of differential equations. This proven and accessible text speaks to beginning engineering and math students through a wealth of pedagogical aids, including an abundance of examples, explanations, “Remarks” boxes, definitions, and group projects. Using a straightforward, readable, and helpful style, this book provides a thorough treatment of boundaryvalue problems and partial differential equations. Date Added: 9/23/2011 10:27:25 PM  Visits: 8197 
MIT Open Courseware Differential Equations: * Solution of Firstorder ODE`s by Analytical, Graphical and Numerical Methods; * Linear ODE`s, Especially Second Order with Constant Coefficients; * Undetermined Coefficients and Variation of Parameters; * Sinusoidal and Exponential Signals: Oscillations, Damping, Resonance; * Complex Numbers and Exponentials; * Fourier Series, Periodic Solutions; * Delta Functions, Convolution, and Laplace Transform Methods; * Matrix and Firstorder Linear Systems: Eigenvalues and Eigenvectors; and * Nonlinear Autonomous Systems: Critical Point Analysis and Phase Plane Diagrams. Date Added: 9/23/2011 10:18:00 PM  Visits: 8201 
Fractional Differential Equations: This book is a landmark title in the continuous move from integer to noninteger in mathematics: from integer numbers to real numbers, from factorials to the gamma function, from integerorder models to models of an arbitrary order. For historical reasons, the word 'fractional' is used instead of the word 'arbitrary'. This book is written for readers who are new to the fields of fractional derivatives and fractionalorder mathematical models, and feel that they need them for developing more adequate mathematical models. In this book, not only applied scientists, but also pure mathematicians will find fresh motivation for developing new methods and approaches in their fields of research. Date Added: 8/25/2011 2:58:16 AM  Visits: 8540 
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