Download or read book Classical Mechanics with Maxima written by Todd Keene Timberlake and published by Springer. This book was released on 2015-10-06 with total page 267 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book guides undergraduate students in the use of Maxima—a computer algebra system—in solving problems in classical mechanics. It functions well as a supplement to a typical classical mechanics textbook. When it comes to problems that are too difficult to solve by hand, computer algebra systems that can perform symbolic mathematical manipulations are a valuable tool. Maxima is particularly attractive in that it is open-source, multiple-platform software that students can download and install free of charge. Lessons learned and capabilities developed using Maxima are easily transferred to other, proprietary software.
Download or read book Finite Elements Using Maxima written by Andreas Öchsner and published by Springer. This book was released on 2019-05-21 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a study aid on the finite element method. Based on the free computer algebra system “Maxima”, it presents routines to symbolically or numerically solve problems in the context of plane truss and frame structures. This allows readers to not only check classical “hand calculations” but also understand the computer implementation of the method. The mechanical theories focus on the classical one-dimensional structural elements, i.e. bars, Euler–Bernoulli and Timoshenko beams as well as their combination to generalized beam elements. Focusing on one-dimensional elements reduces the complexity of the mathematical framework and the resulting matrix equations can still be displayed with all components, and not only in a symbolic representation. The use of a computer algebra system and the incorporated functions, e.g. for equation solving, highlights the methodology of the finite element method rather than standard procedures. The book is based on the Springer Brief “Finite Elements for Truss and Frame Structures” (978-3-319-94940-6) by the same authors.
Download or read book Classical Mechanics written by Matthew J. Benacquista and published by Springer. This book was released on 2018-02-27 with total page 554 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook provides an introduction to classical mechanics at a level intermediate between the typical undergraduate and advanced graduate level. This text describes the background and tools for use in the fields of modern physics, such as quantum mechanics, astrophysics, particle physics, and relativity. Students who have had basic undergraduate classical mechanics or who have a good understanding of the mathematical methods of physics will benefit from this book.
Download or read book Classical Mechanics with Calculus of Variations and Optimal Control written by Mark Levi and published by American Mathematical Soc.. This book was released on 2014-03-07 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an intuitively motivated presentation of many topics in classical mechanics and related areas of control theory and calculus of variations. All topics throughout the book are treated with zero tolerance for unrevealing definitions and for proofs which leave the reader in the dark. Some areas of particular interest are: an extremely short derivation of the ellipticity of planetary orbits; a statement and an explanation of the "tennis racket paradox"; a heuristic explanation (and a rigorous treatment) of the gyroscopic effect; a revealing equivalence between the dynamics of a particle and statics of a spring; a short geometrical explanation of Pontryagin's Maximum Principle, and more. In the last chapter, aimed at more advanced readers, the Hamiltonian and the momentum are compared to forces in a certain static problem. This gives a palpable physical meaning to some seemingly abstract concepts and theorems. With minimal prerequisites consisting of basic calculus and basic undergraduate physics, this book is suitable for courses from an undergraduate to a beginning graduate level, and for a mixed audience of mathematics, physics and engineering students. Much of the enjoyment of the subject lies in solving almost 200 problems in this book.
Download or read book Solved Problems in Classical Mechanics written by O.L. de Lange and published by Oxford University Press. This book was released on 2010-05-06 with total page 608 pages. Available in PDF, EPUB and Kindle. Book excerpt: simulated motion on a computer screen, and to study the effects of changing parameters. --
Download or read book Introduction To Classical Mechanics Solutions To Problems written by John Dirk Walecka and published by World Scientific. This book was released on 2020-08-24 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: The textbook Introduction to Classical Mechanics aims to provide a clear and concise set of lectures that take one from the introduction and application of Newton's laws up to Hamilton's principle of stationary action and the lagrangian mechanics of continuous systems. An extensive set of accessible problems enhances and extends the coverage.It serves as a prequel to the author's recently published book entitled Introduction to Electricity and Magnetism based on an introductory course taught some time ago at Stanford with over 400 students enrolled. Both lectures assume a good, concurrent course in calculus and familiarity with basic concepts in physics; the development is otherwise self-contained.As an aid for teaching and learning, and as was previously done with the publication of Introduction to Electricity and Magnetism: Solutions to Problems, this additional book provides the solutions to the problems in the text Introduction to Classical Mechanics.
Download or read book Classical Mechanics written by Jan Awrejcewicz and published by Springer Science & Business Media. This book was released on 2012-07-26 with total page 453 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first volume of three, devoted to Mechanics. This book contains classical mechanics problems including kinematics and statics. It is recommended as a supplementary textbook for undergraduate and graduate students from mechanical and civil engineering, as well as for physical scientists and engineers. It contains a basic introduction to classical mechanics, including fundamental principles, statics, and the geometry of masses, as well as thorough discussion on kinematics.
Download or read book Introduction to Classical Mechanics written by Jain, Pushpendra K. and published by Mkuki na Nyota Publishers. This book was released on 2019-05-22 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces Tanzanian students to the fascinating world of Mechanics - the science of motion and equilibrium. Concepts of mechanics namely vector and scalar quantities, forces, the laws of motion, work, energy, the conservation laws, gravitation, circular, orbital and oscillatory motions cut across not only most branches of physics such as electromagnetism, atomic, molecular, nuclear, astro and space physics, but are also applied to most branches of engineering and technology. This makes mechanics an important component of physics which students must master well at an early stage before branching to various career options. That is why undergraduate programs in sciences at most universities offer mandatory courses on basic mechanics within the first year of study. This book meets the needs of students and academics at the entry level courses. This book covers three crucial subareas of mechanics namely Kinematics, Newtonian mechanics and Lagrangian mechanics. Chapter 1 covers introductory aspects. Kinematics is discussed in chapter 2. Newton's laws of motion are introduced in chapter 3. Chapter 4 deals with the conservation of linear momentum. Work, energy and power are covered in chapter 5. Circular motion, Gravitation and planetary motion, and oscillations are covered in chapters 6, 7 and 8 respectively. Chapter 9 presents the aspects of rigid body dynamics, and Lagrangian mechanics is introduced in chapter 10, which lays a foundation for advanced courses in mechanics. The language of physics is universal, and the book is suited to students globally. However, the book recognises and addresses the specific needs of students in African Universities. There is a marked heterogeneity in the background of students ranging from those who are well prepared to those who are not so well prepared. The book meets the needs of all students. It presents detailed explanations of difficult-to-grasp topics with the help of simple but clearly drawn and labeled diagrams. The discussions and conclusions are presented point-wise, and key words, definitions, laws, etc., are highlighted. A unique feature of the book is a number of ‘Recipes’ which give students tailor made guidance to problems solving. Application of the recipe is illustrated by a solved example, followed by a similar exercise for students to practice. There are a large number of problems and exercises at the end of each chapter to further sharpen their skills.
Download or read book Mathematical Methods of Classical Mechanics written by V. I. Arnold and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 469 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many different mathematical methods and concepts are used in classical mechanics: differential equations and phase ftows, smooth mappings and manifolds, Lie groups and Lie algebras, symplectic geometry and ergodic theory. Many modern mathematical theories arose from problems in mechanics and only later acquired that axiomatic-abstract form which makes them so hard to study. In this book we construct the mathematical apparatus of classical mechanics from the very beginning; thus, the reader is not assumed to have any previous knowledge beyond standard courses in analysis (differential and integral calculus, differential equations), geometry (vector spaces, vectors) and linear algebra (linear operators, quadratic forms). With the help of this apparatus, we examine all the basic problems in dynamics, including the theory of oscillations, the theory of rigid body motion, and the hamiltonian formalism. The author has tried to show the geometric, qualitative aspect of phenomena. In this respect the book is closer to courses in theoretical mechanics for theoretical physicists than to traditional courses in theoretical mechanics as taught by mathematicians.
Download or read book Introduction to Classical Mechanics written by Roy, Nikhil Ranjan and published by Vikas Publishing House. This book was released on with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book deals with the mechanics of particles and rigid bodies. It is written for the undergraduate students of physics and meets the syllabus requirements of most Indian universities. It also covers the entire syllabus on classical/analytical mechanics for various national and state level examinations like NET, GATE and SLET. Some of the topics in the book are included in the curricula of applied mathematics in several institutions as well. KEY FEATURES • Main emphasis is on the evolution of the subject, the underlying ideas, the concepts, the laws and the mathematical methods • Written in the style of classroom teaching so that the students may benefit from it by way of self-study • Step-by-step derivation of concepts, with each step clearly numbered • Concepts explained with the help of relevant examples to aid understanding
Download or read book Classical Mechanics written by Peter Ryder and published by Peter Ryder. This book was released on 2007 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Classical Mechanics with Mathematica written by Antonio Romano and published by Springer Science & Business Media. This book was released on 2012-09-27 with total page 506 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook takes a broad yet thorough approach to mechanics, aimed at bridging the gap between classical analytic and modern differential geometric approaches to the subject. Developed by the author from 35 years of teaching experience, the presentation is designed to give students an overview of the many different models used through the history of the field—from Newton to Lagrange—while also painting a clear picture of the most modern developments. Throughout, it makes heavy use of the powerful tools offered by Mathematica. The volume is organized into two parts. The first focuses on developing the mathematical framework of linear algebra and differential geometry necessary for the remainder of the book. Topics covered include tensor algebra, Euclidean and symplectic vector spaces, differential manifolds, and absolute differential calculus. The second part of the book applies these topics to kinematics, rigid body dynamics, Lagrangian and Hamiltonian dynamics, Hamilton–Jacobi theory, completely integrable systems, statistical mechanics of equilibrium, and impulsive dynamics, among others. Unique in its scope of coverage and method of approach, Classical Mechanics will be a very useful resource for graduate students and advanced undergraduates in applied mathematics and physics who hope to gain a deeper understanding of mechanics.
Download or read book Analytical Mechanics written by Ioan Merches and published by CRC Press. This book was released on 2014-08-26 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: Giving students a thorough grounding in basic problems and their solutions, Analytical Mechanics: Solutions to Problems in Classical Physics presents a short theoretical description of the principles and methods of analytical mechanics, followed by solved problems. The authors thoroughly discuss solutions to the problems by taking a comprehensive a
Download or read book Geometric Problems on Maxima and Minima written by Titu Andreescu and published by Springer Science & Business Media. This book was released on 2007-12-31 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents hundreds of extreme value problems, examples, and solutions primarily through Euclidean geometry Unified approach to the subject, with emphasis on geometric, algebraic, analytic, and combinatorial reasoning Applications to physics, engineering, and economics Ideal for use at the junior and senior undergraduate level, with wide appeal to students, teachers, professional mathematicians, and puzzle enthusiasts
Download or read book Classical Mechanics and Quantum Mechanics An Historic Axiomatic Approach written by Peter Enders and published by Bentham Science Publishers. This book was released on 2019-09-05 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique textbook presents a novel, axiomatic pedagogical path from classical to quantum physics. Readers are introduced to the description of classical mechanics, which rests on Euler’s and Helmholtz’s rather than Newton’s or Hamilton’s representations. Special attention is given to the common attributes rather than to the differences between classical and quantum mechanics. Readers will also learn about Schrödinger’s forgotten demands on quantization, his equation, Einstein’s idea of ‘quantization as selection problem’. The Schrödinger equation is derived without any assumptions about the nature of quantum systems, such as interference and superposition, or the existence of a quantum of action, h. The use of the classical expressions for the potential and kinetic energies within quantum physics is justified. Key features: · Presents extensive reference to original texts. · Includes many details that do not enter contemporary representations of classical mechanics, although these details are essential for understanding quantum physics. · Contains a simple level of mathematics which is seldom higher than that of the common (Riemannian) integral. · Brings information about important scientists · Carefully introduces basic equations, notations and quantities in simple steps This book addresses the needs of physics students, teachers and historians with its simple easy to understand presentation and comprehensive approach to both classical and quantum mechanics..
Download or read book CLASSICAL MECHANICS written by G. ARULDHAS and published by PHI Learning Pvt. Ltd.. This book was released on 2008-02-14 with total page 371 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers an in-depth presentation of the mechanics of particles and systems. The material is thoroughly class-tested and hence eminently suitable as a textbook for a one-semester course in Classical Mechanics for postgraduate students of physics and mathematics. Besides, the book can serve as a useful reference for engineering students at the postgraduate level. The book provides not only a complete treatment of classical theoretical physics but also an enormous number of worked examples and problems to show students clearly how to apply abstract principles and mathematical techniques to realistic problems. While abstraction of theory is minimized, detailed mathematical analysis is provided wherever necessary. Besides an all-embracing coverage of different aspects of classical mechanics, the rapidly growing areas of nonlinear dynamics and chaos are are also included. The chapter on Central Force Motion includes topics like satellite parameters, orbital transfers and scattering problem. An extensive treatment on the essentials of small oscillations which is crucial for the study of molecular vibrations is included. Rigid body motion and special theory of relativity are also covered in two separate chapters.
Download or read book Fundamental Principles Of Classical Mechanics A Geometrical Perspective written by Kai S Lam and published by World Scientific Publishing Company. This book was released on 2014-07-07 with total page 591 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is written with the belief that classical mechanics, as a theoretical discipline, possesses an inherent beauty, depth, and richness that far transcends its immediate applications in mechanical systems. These properties are manifested, by and large, through the coherence and elegance of the mathematical structure underlying the discipline, and are eminently worthy of being communicated to physics students at the earliest stage possible. This volume is therefore addressed mainly to advanced undergraduate and beginning graduate physics students who are interested in the application of modern mathematical methods in classical mechanics, in particular, those derived from the fields of topology and differential geometry, and also to the occasional mathematics student who is interested in important physics applications of these areas of mathematics. Its main purpose is to offer an introductory and broad glimpse of the majestic edifice of the mathematical theory of classical dynamics, not only in the time-honored analytical tradition of Newton, Laplace, Lagrange, Hamilton, Jacobi, and Whittaker, but also the more topological/geometrical one established by Poincare, and enriched by Birkhoff, Lyapunov, Smale, Siegel, Kolmogorov, Arnold, and Moser (as well as many others).
