Oscar Gonzalez - Böcker

A concise account of various classic theories of fluids and solids, this book is for courses in continuum mechanics for graduate students and advanced undergraduates. Thoroughly class-tested in courses at Stanford University and the University of Warwick, it is suitable for both applied mathematicians and engineers. The only prerequisites are an introductory undergraduate knowledge of basic linear algebra and differential equations. Unlike most existing works at this level, this book covers both isothermal and thermal theories. The theories are derived in a unified manner from the fundamental balance laws of continuum mechanics. Intended both for classroom use and for self-study, each chapter contains a wealth of exercises, with fully worked solutions to odd-numbered questions. A complete solutions manual is available to instructors upon request. Short bibliographies appear at the end of each chapter, pointing to material which underpins or expands upon the material discussed.

The analysis and interpretation of mathematical models is an essential part of the modern scientific process. Topics in Applied Mathematics and Modeling is designed for a one-semester course in this area aimed at a wide undergraduate audience in the mathematical sciences. The prerequisite for access is exposure to the central ideas of linear algebra and ordinary differential equations.The subjects explored in the book are dimensional analysis and scaling, dynamical systems, perturbation methods, and calculus of variations. These are immense subjects of wide applicability and a fertile ground for critical thinking and quantitative reasoning, in which every student of mathematics should have some experience. Students who use this book will enhance their understanding of mathematics, acquire tools to explore meaningful scientific problems, and increase their preparedness for future research and advanced studies.The highlights of the book are case studies and mini-projects, which illustrate the mathematics in action. The book also contains a wealth of examples, figures, and regular exercises to support teaching and learning. The book includes opportunities for computer-aided explorations, and each chapter contains a bibliography with references covering further details of the material.

This textbook provides readers with the knowledge and practical skills necessary to understand, design, and construct their own functional DC motors using 3D printing technology.

This textbook provides readers with the knowledge and practical skills necessary to understand, design, and construct their own functional DC motors using 3D printing technology. The authors provide a clear and accessible introduction to the fundamental concepts of DC motors, explaining how they work, their different types, and their applications in a way that is easy for readers with limited technical background to understand. The book bridges the gap between theoretical knowledge and practical application, so that readers see how theoretical concepts translate into real devices. The authors guide readers through the process of building their own DC motors, using 3D printing technology. Readers can gain hands-on experience creating functional devices, using the step-by-step instructions, illustrations, and diagrams. The authors’ focus on 3D printing enables readers to explore the field of customization, so they can adapt motor designs to fit their specific needs, whether for a project, a prototype, or an application.