Lectures on Quantum Mechanics for Mathematics Students


Book Description

Describes the relation between classical and quantum mechanics. This book contains a discussion of problems related to group representation theory and to scattering theory. It intends to give a mathematically oriented student the opportunity to grasp the main points of quantum theory in a mathematical framework.




Classical Mechanics


Book Description

"Classical Mechanics: A professor-student collaboration is a textbook tailored for undergraduate physics students embarking on a first-year module in Newtonian mechanics. This book was written as a unique collaboration between Professor Mario Campanelli and students that attended his course in Classical Mechanics at University College London (UCL). Taking his lecture notes as a starting point, and reflecting on their own experiences studying the material, the students worked together with Prof. Campanelli to produce a comprehensive course text that covers a familiar topic from a new perspective. All the fundamental topics are included, starting with an overview of the core mathematics and then moving on to statics, kinematics, dynamics and non-inertial frames, as well as fluid mechanics, which is often overlooked in standard university courses. Clear explanations and step-by-step examples are provided throughout to break down complicated ideas that can be taken for granted in other standard texts, giving students the expertise to confidently tackle their university tests and fully grasp important concepts that underpin all physics and engineering courses." -- Prové de l'editor.




Fluid Mechanics


Book Description

White's Fluid Mechanics is praised for its thorough and accurate approach, student friendly writing style, and its concise yet accessible coverage. The electronic version of the text presents these features and more in a CD-ROM with expanded descriptions of certain tables and diagrams through links. The E-Text enhances the text's elegant and solid description of the fundamentals. This fourth edition includes the addition of over 500 new problems, divided categories of "applied problems," "comprehensive applied problems," "design projects," "word problems" and "FE (fundamentals of engineering exam) problems." The book also has an updated, modern design and includes many useful pedagogical and motivational aids such as a perforated "Key Equations Card," boxed equations, and opening chapter photos.




Symmetry in Mechanics


Book Description

"And what is the use," thought Alice, "of a book without pictures or conversations in it?" -Lewis Carroll This book is written for modem undergraduate students - not the ideal stu dents that mathematics professors wish for (and who occasionally grace our campuses), but the students like many the author has taught: talented but ap preciating review and reinforcement of past course work; willing to work hard, but demanding context and motivation for the mathematics they are learning. To suit this audience, the author eschews density of topics and efficiency of presentation in favor of a gentler tone, a coherent story, digressions on mathe maticians, physicists and their notations, simple examples worked out in detail, and reinforcement of the basics. Dense and efficient texts play a crucial role in the education of budding (and budded) mathematicians and physicists. This book does not presume to improve on the classics in that genre. Rather, it aims to provide those classics with a large new generation of appreciative readers. This text introduces some basic constructs of modern symplectic geometry in the context of an old celestial mechanics problem, the two-body problem. We present the derivation of Kepler's laws of planetary motion from Newton's laws of gravitation, first in the style of an undergraduate physics course, and x Preface then again in the language of symplectic geometry. No previous exposure to symplectic geometry is required: we introduce and illustrate all necessary con structs.




Mechanics


Book Description

Mechanics is one of the oldest and at the same time newest disciplines, in the sense that there are methods and principles developed first in mechanics but now widely used in almost all branches of physics: electrodynamics, quantum mechanics, classical and quantum field theory, special and general theory of relativity, etc. More than that, there are some formalisms like Lagrangian and Hamiltonian approaches, which represent the key stone for the development of the above-mentioned disciplines. During the last 20-25 years, classical mechanics has undergone an important revival associated with the progress in non-linear dynamics, applications of Noether’s theorem and the extension of variational principles in various interdisciplinary sciences (for instance, magnetofluid dynamics). Thus, there ought to exist a book concerned with the applied analytical formalism, first developed in the frame of theoretical mechanics, which has proved to be one of the most efficient tools of investigation in the entire arena of science. The present book is an outcome of the authors’ teaching experience over many years in different countries and for different students studying diverse fields of physics. The book is intended for students at the level of undergraduate and graduate studies in physics, engineering, astronomy, applied mathematics and for researchers working in related subjects. We hope that the original presentation and the distribution of the topics, the various applications in many branches of physics and the set of more than 100 proposed problems, shall make this book a comprehensive and useful tool for students and researchers. The present book is an outcome of the authors’ teaching experience over many years in different countries and for different students studying diverse fields of physics. The book is intended for students at the level of undergraduate and graduate studies in physics, engineering, astronomy, applied mathematics and for researchers working in related subjects. We hope that the original presentation and the distribution of the topics, the various applications in many branches of physics and the set of more than 100 proposed problems, shall make this book a comprehensive and useful tool for students and researchers.




A Student's Guide to Analytical Mechanics


Book Description

An accessible guide to analytical mechanics, using intuitive examples to illustrate the underlying mathematics, helping students formulate, solve and interpret problems in mechanics.




Mechanically Inclined


Book Description

Some teachers love grammar and some hate it, but nearly all struggle to find ways of making the mechanics of English meaningful to kids. As a middle school teacher, Jeff Anderson also discovered that his students were not grasping the basics, and that it was preventing them from reaching their potential as writers. Jeff readily admits, “I am not a grammarian, nor am I punctilious about anything,” so he began researching and testing the ideas of scores of grammar experts in his classroom, gradually finding successful ways of integrating grammar instruction into writer's workshop. Mechanically Inclined is the culmination of years of experimentation that merges the best of writer's workshop elements with relevant theory about how and why skills should be taught. It connects theory about using grammar in context with practical instructional strategies, explains why kids often don't understand or apply grammar and mechanics correctly, focuses on attending to the “high payoff,” or most common errors in student writing, and shows how to carefully construct a workshop environment that can best support grammar and mechanics concepts. Jeff emphasizes four key elements in his teaching:short daily instruction in grammar and mechanics within writer's workshop;using high-quality mentor texts to teach grammar and mechanics in context;visual scaffolds, including wall charts, and visual cues that can be pasted into writer's notebooks;regular, short routines, like “express-lane edits,” that help students spot and correct errors automatically.Comprising an overview of the research-based context for grammar instruction, a series of over thirty detailed lessons, and an appendix of helpful forms and instructional tools, Mechanically Inclined is a boon to teachers regardless of their level of grammar-phobia. It shifts the negative, rule-plagued emphasis of much grammar instruction into one which celebrates the power and beauty these tools have in shaping all forms of writing.




Orbital Mechanics for Engineering Students


Book Description

Orbital Mechanics for Engineering Students, Second Edition, provides an introduction to the basic concepts of space mechanics. These include vector kinematics in three dimensions; Newton's laws of motion and gravitation; relative motion; the vector-based solution of the classical two-body problem; derivation of Kepler's equations; orbits in three dimensions; preliminary orbit determination; and orbital maneuvers. The book also covers relative motion and the two-impulse rendezvous problem; interplanetary mission design using patched conics; rigid-body dynamics used to characterize the attitude of a space vehicle; satellite attitude dynamics; and the characteristics and design of multi-stage launch vehicles. Each chapter begins with an outline of key concepts and concludes with problems that are based on the material covered. This text is written for undergraduates who are studying orbital mechanics for the first time and have completed courses in physics, dynamics, and mathematics, including differential equations and applied linear algebra. Graduate students, researchers, and experienced practitioners will also find useful review materials in the book. - NEW: Reorganized and improved discusions of coordinate systems, new discussion on perturbations and quarternions - NEW: Increased coverage of attitude dynamics, including new Matlab algorithms and examples in chapter 10 - New examples and homework problems




Students Under Stress


Book Description