Elementary Mechanics Using Matlab
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Elementary Mechanics Using Matlab
This book – specifically developed as a novel textbook on elementary classical mechanics – shows how analytical and numerical methods can be seamlessly integrated to solve physics problems. This approach allows students to solve more advanced and applied problems at an earlier stage and equips them to deal with real-world examples well beyond the typical special cases treated in standard textbooks. Another advantage of this approach is that students are brought closer to the way physics is actually discovered and applied, as they are introduced right from the start to a more exploratory way of understanding phenomena and of developing their physical concepts. While not a requirement, it is advantageous for the reader to have some prior knowledge of scientific programming with a scripting-type language. This edition of the book uses Matlab, and a chapter devoted to the basics of scientific programming with Matlab is included. A parallel edition using Python instead of Matlab is also available. Last but not least, each chapter is accompanied by an extensive set of course-tested exercises and solutions.
Mechanics Using Matlab
"Mechanics Using Matlab: An Introductory Guide" bridges the gap between fundamental principles of mechanics and their practical implementation using Matlab, a powerful computational tool widely used in engineering and scientific applications. We offer an invaluable resource for students, educators, and professionals seeking to deepen their understanding of classical mechanics and enhance their problem-solving skills through computational techniques. We begin by laying a solid foundation in core concepts of mechanics, including kinematics, dynamics, and energy principles. Through clear explanations and illustrative examples, we guide readers through essential theories and equations governing the motion of particles and rigid bodies. Emphasis is placed on developing a conceptual understanding of the underlying physics, reinforced through Matlab-based exercises and simulations. One of the key strengths of our book lies in its integration of theory with practical application. Each chapter elucidates the theoretical framework and demonstrates how to implement it computationally using Matlab scripts and functions. Topics covered include particle dynamics, projectile motion, Newton's laws of motion, circular motion, conservation principles, rotational dynamics, oscillations, and orbital mechanics. Throughout the text, Matlab code snippets are provided alongside explanations, allowing readers to gain hands-on experience in solving mechanics problems numerically. This interactive approach reinforces theoretical concepts and equips readers with valuable computational skills. With worked examples and practice problems, "Mechanics Using Matlab: An Introductory Guide" challenges readers and reinforces their understanding. This book serves as a practical reference for engineers, scientists, and researchers in fields where mechanics plays a crucial role.
Introductory Quantum Mechanics with MATLAB
Author: James R. Chelikowsky
language: en
Publisher: John Wiley & Sons
Release Date: 2019-01-04
Presents a unique approach to grasping the concepts of quantum theory with a focus on atoms, clusters, and crystals Quantum theory of atoms and molecules is vitally important in molecular physics, materials science, nanoscience, solid state physics and many related fields. Introductory Quantum Mechanics with MATLAB is designed to be an accessible guide to quantum theory and its applications. The textbook uses the popular MATLAB programming language for the analytical and numerical solution of quantum mechanical problems, with a particular focus on clusters and assemblies of atoms. The textbook is written by a noted researcher and expert on the topic who introduces density functional theory, variational calculus and other practice-proven methods for the solution of quantum-mechanical problems. This important guide: -Presents the material in a didactical manner to help students grasp the concepts and applications of quantum theory -Covers a wealth of cutting-edge topics such as clusters, nanocrystals, transitions and organic molecules -Offers MATLAB codes to solve real-life quantum mechanical problems Written for master's and PhD students in physics, chemistry, material science, and engineering sciences, Introductory Quantum Mechanics with MATLAB contains an accessible approach to understanding the concepts of quantum theory applied to atoms, clusters, and crystals.