Mathematical and Numerical computation with Maple is a complete course for the students who are new and beginners in computational and numerical methods with Maple. During this course, the student will be able to use Maple, step by step. We will focus on computational and numerical methods in Maple with many useful examples. We will explain the types of computations, symbolic, and numeric computation.
The book is designed for undergraduate or beginning level graduate students, and students from interdisciplinary areas including engineers, and others who need to use partial differential equations, Fourier series, Fourier and Laplace transforms. The prerequisite is a basic knowledge of calculus, linear algebra, and ordinary differential equations.The textbook aims to be practical, elementary, and reasonably rigorous; the book is concise in that it describes fundamental solution techniques for first order, second order, linear partial differential equations for general solutions, fundamental solutions, solution to Cauchy (initial value) problems, and boundary value problems for different PDEs in one and two dimensions, and different coordinates systems. Analytic solutions to boundary value problems are based on Sturm-Liouville eigenvalue problems and series solutions.The book is accompanied with enough well tested Maple files and some Matlab codes that are available online. The use of Maple makes the complicated series solution simple, interactive, and visible. These features distinguish the book from other textbooks available in the related area.
This unique book provides a streamlined, self-contained and modern text for a one-semester mathematical methods course with an emphasis on concepts important from the application point of view. Part I of this book follows the “paper and pencil” presentation of mathematical methods that emphasizes fundamental understanding and geometrical intuition. In addition to a complete list of standard subjects, it introduces important, contemporary topics like nonlinear differential equations, chaos and solitons. Part II employs the Maple software to cover the same topics as in Part I in a computer oriented approach to instruction. Using Maple liberates students from laborious tasks while helping them to concentrate entirely on concepts and on better visualizing the mathematical content. The focus of the text is on key ideas and basic technical and geometric insights presented in a way that closely reflects how physicists and engineers actually think about mathematics.
This unique book provides a streamlined, self-contained and modern text for a one-semester mathematical methods course with an emphasis on concepts important from the application point of view. Part I of this book follows the “paper and pencil” presentation of mathematical methods that emphasizes fundamental understanding and geometrical intuition. In addition to a complete list of standard subjects, it introduces important, contemporary topics like nonlinear differential equations, chaos and solitons. Part II employs the Maple software to cover the same topics as in Part I in a computer oriented approach to instruction. Using Maple liberates students from laborious tasks while helping them to concentrate entirely on concepts and on better visualizing the mathematical content. The focus of the text is on key ideas and basic technical and geometric insights presented in a way that closely reflects how physicists and engineers actually think about mathematics.
2015 REVERE Award Finalist, PreK-12 Learning Group, Association of American Publishers! A 2015 Outstanding Science Trade Book for Students K-12! It’s fun to toss maple seeds up in the air and watch them spin down to the ground like nature’s own helicopters. This book prompts inquisitive kids to learn about these marvels of aerial engineering, including their real name (no, not whirlybird), the work they do for maple trees, and how to uncover the little trees waiting to sprout from the seeds. Next Time You See a Maple Seed is a mini class in how tall trees grow from these tiny, twirling winged fruits. Awaken a sense of wonder in a child with the Next Time You See series from NSTA Kids. The books will inspire elementary-age children to experience the enchantment of everyday phenomena, such as maple seeds, Moon phases, pill bugs, fireflies, seashells, and sunsets. Free supplementary activities are available on the NSTA website.
The book is designed for undergraduate or beginning level graduate students, and students from interdisciplinary areas including engineers, and others who need to use partial differential equations, Fourier series, Fourier and Laplace transforms. The prerequisite is a basic knowledge of calculus, linear algebra, and ordinary differential equations.The textbook aims to be practical, elementary, and reasonably rigorous; the book is concise in that it describes fundamental solution techniques for first order, second order, linear partial differential equations for general solutions, fundamental solutions, solution to Cauchy (initial value) problems, and boundary value problems for different PDEs in one and two dimensions, and different coordinates systems. Analytic solutions to boundary value problems are based on Sturm-Liouville eigenvalue problems and series solutions.The book is accompanied with enough well tested Maple files and some Matlab codes that are available online. The use of Maple makes the complicated series solution simple, interactive, and visible. These features distinguish the book from other textbooks available in the related area.
Harvard honor alumnus Dale Maple had a promising future, but his obsession with Nazi Germany led to his downfall. Classmates often accused him of pro-Nazi sentiments, and one campus organization even expelled him. After graduation, he enlisted in the U.S. Army, only to be relegated to a unit of soldiers suspected of harboring German sympathies. He helped two German POWs escape imprisonment at Camp Hale and flee to Mexico. The fugitives ran out of gas seventeen miles from the border and managed to cross it on foot, only to be arrested and returned to American authorities. Convicted and sentenced to death for treason, Maple awaited his fate until President Franklin Roosevelt commuted his sentence to life imprisonment. Ultimately, he was released in 1950. Paul N. Herbert narrates the engrossing details of this riveting story.
Textbook on nonlinear and parametric vibrations discussing relevant terminology and analytical and computational tools for analysis, design, and troubleshooting Introduction to Engineering Nonlinear and Parametric Vibrations with MATLAB and MAPLE is a comprehensive textbook that provides theoretical breadth and depth and analytical and computational tools needed to analyze, design, and troubleshoot related engineering problems. The text begins by introducing and providing the required math and computer skills for understanding and simulating nonlinear vibration problems. This section also includes a thorough treatment of parametric vibrations. Many illustrative examples, including software examples, are included throughout the text. A companion website includes the MATLAB and MAPLE codes for examples in the textbook, and a theoretical development for a homoclinic path to chaos. Introduction to Engineering Nonlinear and Parametric Vibrations with MATLAB and MAPLE provides information on: Natural frequencies and limit cycles of nonlinear autonomous systems, covering the multiple time scale, Krylov-Bogellubov, harmonic balance, and Lindstedt-Poincare methodsCo-existing fixed point equilibrium states of nonlinear systems, covering location, type, and stability, domains of attraction, and phase plane plottingParametric and autoparametric vibration including Floquet, Mathieu and Hill theoryNumerical methods including shooting, time domain collocation, arc length continuation, and Poincare plottingChaotic motion of nonlinear systems, covering iterated maps, period doubling and homoclinic paths to chaos, and discrete and continuous time Lyapunov exponents Extensive MATLAB and MAPLE coding for the examples presented Introduction to Engineering Nonlinear and Parametric Vibrations with MATLAB and MAPLE is an essential up-to-date textbook on the subject for upper level undergraduate and graduate engineering students as well as practicing vibration engineers. Knowledge of differential equations and basic programming skills are requisites for reading.
Cuenta la historia de Pamela, una joven problem tica cuya vida es destruida por su mejor amiga y amor plat nico, Ofelia, despu s de ayudar a la polic a a capturar a su padre; un asesino serial. La vida contin a y Ofelia logra cumplir su sue o de convertirse en detective. Su primer caso es capturar a un ladr n de arte que se ha vuelto el centro de atenci n de la prensa. ngel, el artista de la pintura robada fue criado por un misterioso abogado y el Padre Sebasti n quien cuid de el desde su llegada al orfanato, resulta ser lo que parec a y descubre que las piezas clave de su vida son una mentira. Ofelia se ve envuelta en una trampa elaborada por Pamela, una adolescente vengativa, quien es renombrada como Regina al entrar al programa de protecci n de testigos. Regina, en un intento por enriquecer su vida crea a A. Maple, un personaje m s decidido que ella para cometer el robo de la pintura que le a devuelto la capacidad de sentir. Cuando descubre que Ofelia es la detective asignada al caso Pamela regresa de lo m s oscuro de su memoria y utiliza a A. Maple para su venganza. A. Maple usa a Regina, quien solo quiere una vida normal, para manipular a ngel para que traicione a Ofelia. Despu s de todo, Pamela es la verdadera due a de la vida de Regina y echar mano de todos para tener su oportunidad de vivir.
