Notes On Mechanics

Author : Lock Yue Chew
Publisher : World Scientific
ISBN 13 : 9811213127
Total Pages : 173 pages
Book Rating : 4.20/5 ( download)

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Download or read book Lecture Notes On Mechanics: Intermediate Level written by Lock Yue Chew and published by World Scientific. This book was released on 2020-07-20 with total page 173 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is for students who are familiar with an introductory course in mechanics at the freshman level. With an emphasis on perspectives that are more fundamental and techniques more advanced than those given in most introductory mechanics textbooks, the book illuminates on notions where vectors are coordinate free, presents the importance of reference frames (inertial and non-inertial) to mechanics problems, the role of Galilean Relativity on invariance and covariance of physical quantities, a framework to perform calculations — free from the constraint of a fixed axis — in rotational dynamics, and others. Moreover, it provides clear links between concepts in mechanics and other branches of physics, such as thermodynamics and electrodynamics, so that students can possess a more complete view of what they learn within the confines of physics.

Author : Eduardo WV Chaves
Publisher : Springer Science & Business Media
ISBN 13 : 940075986X
Total Pages : 695 pages
Book Rating : 4.62/5 ( download)

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Download or read book Notes on Continuum Mechanics written by Eduardo WV Chaves and published by Springer Science & Business Media. This book was released on 2013-06-13 with total page 695 pages. Available in PDF, EPUB and Kindle. Book excerpt: This publication is aimed at students, teachers, and researchers of Continuum Mechanics and focused extensively on stating and developing Initial Boundary Value equations used to solve physical problems. With respect to notation, the tensorial, indicial and Voigt notations have been used indiscriminately. The book is divided into twelve chapters with the following topics: Tensors, Continuum Kinematics, Stress, The Objectivity of Tensors, The Fundamental Equations of Continuum Mechanics, An Introduction to Constitutive Equations, Linear Elasticity, Hyperelasticity, Plasticity (small and large deformations), Thermoelasticity (small and large deformations), Damage Mechanics (small and large deformations), and An Introduction to Fluids. Moreover, the text is supplemented with over 280 figures, over 100 solved problems, and 130 references.

Author : Ilya L. Shapiro
Publisher : Springer Science & Business Media
ISBN 13 : 1461478251
Total Pages : 255 pages
Book Rating : 4.56/5 ( download)

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Download or read book Lecture Notes on Newtonian Mechanics written by Ilya L. Shapiro and published by Springer Science & Business Media. This book was released on 2013-08-15 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: One could make the claim that all branches of physics are basically generalizations of classical mechanics. It is also often the first course which is taught to physics students. The approach of this book is to construct an intermediate discipline between general courses of physics and analytical mechanics, using more sophisticated mathematical tools. The aim of this book is to prepare a self-consistent and compact text that is very useful for teachers as well as for independent study.

Author : Daniel Kleppner
Publisher : Cambridge University Press
ISBN 13 : 0521198119
Total Pages : 563 pages
Book Rating : 4.10/5 ( download)

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Download or read book An Introduction to Mechanics written by Daniel Kleppner and published by Cambridge University Press. This book was released on 2014 with total page 563 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second edition is ideal for classical mechanics courses for first- and second-year undergraduates with foundation skills in mathematics.

Author : Gonzalo Muga
Publisher : Springer
ISBN 13 : 3540734732
Total Pages : 461 pages
Book Rating : 4.34/5 ( download)

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Download or read book Time in Quantum Mechanics written by Gonzalo Muga and published by Springer. This book was released on 2007-11-30 with total page 461 pages. Available in PDF, EPUB and Kindle. Book excerpt: The treatment of time in quantum mechanics is still an important and challenging open question in the foundation of the quantum theory. This multi-authored book, written as an introductory guide for newcomers to the subject, as well as a useful source of information for the expert, covers many of the open questions. The book describes the problems, and the attempts and achievements in defining, formalizing and measuring different time quantities in quantum theory.

Author : Carl S. Helrich
Publisher : Springer
ISBN 13 : 3319444913
Total Pages : 349 pages
Book Rating : 4.18/5 ( download)

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Download or read book Analytical Mechanics written by Carl S. Helrich and published by Springer. This book was released on 2016-10-01 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt: This advanced undergraduate textbook begins with the Lagrangian formulation of Analytical Mechanics and then passes directly to the Hamiltonian formulation and the canonical equations, with constraints incorporated through Lagrange multipliers. Hamilton's Principle and the canonical equations remain the basis of the remainder of the text. Topics considered for applications include small oscillations, motion in electric and magnetic fields, and rigid body dynamics. The Hamilton-Jacobi approach is developed with special attention to the canonical transformation in order to provide a smooth and logical transition into the study of complex and chaotic systems. Finally the text has a careful treatment of relativistic mechanics and the requirement of Lorentz invariance. The text is enriched with an outline of the history of mechanics, which particularly outlines the importance of the work of Euler, Lagrange, Hamilton and Jacobi. Numerous exercises with solutions support the exceptionally clear and concise treatment of Analytical Mechanics.

Author : Jerrold E. Marsden
Publisher : Cambridge University Press
ISBN 13 : 9780521428446
Total Pages : 272 pages
Book Rating : 4.40/5 ( download)

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Download or read book Lectures on Mechanics written by Jerrold E. Marsden and published by Cambridge University Press. This book was released on 1992-04-30 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on the 1991 LMS Invited Lectures given by Professor Marsden, this book discusses and applies symmetry methods to such areas as bifurcations and chaos in mechanical systems.

Author : Helmut Haberzettl
Publisher : World Scientific
ISBN 13 : 9811238294
Total Pages : 384 pages
Book Rating : 4.91/5 ( download)

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Download or read book Classical Mechanics: Lecture Notes written by Helmut Haberzettl and published by World Scientific. This book was released on 2021-06-15 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook provides lecture materials of a comprehensive course in Classical Mechanics developed by the author over many years with input from students and colleagues alike. The richly illustrated book covers all major aspects of mechanics starting from the traditional Newtonian perspective, over Lagrangian mechanics, variational principles and Hamiltonian mechanics, rigid-body, and continuum mechanics, all the way to deterministic chaos and point-particle mechanics in special relativity. Derivation steps are worked out in detail, illustrated by examples, with ample explanations.Developed by a classroom practitioner, the book provides a comprehensive overview of classical mechanics with judicious material selections that can be covered in a one-semester course thus streamlining the instructor's task of choosing materials for their course. The usefulness for instructors notwithstanding, the primary aim of the book is to help students in their understanding, with detailed derivations and explanations, and provide focused guidance for their studies by repeatedly emphasizing how various topics are tied together by common physics principles.

Author : Costas J. Papachristou
Publisher : Springer Nature
ISBN 13 : 3030542718
Total Pages : 269 pages
Book Rating : 4.19/5 ( download)

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Download or read book Introduction to Mechanics of Particles and Systems written by Costas J. Papachristou and published by Springer Nature. This book was released on 2020-09-09 with total page 269 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is based on the author’s lecture notes for his Introductory Newtonian Mechanics course at the Hellenic Naval Academy. In order to familiarize students with the use of several basic mathematical tools, such as vectors, differential operators and differential equations, it first presents the elements of vector analysis that are needed in the subsequent chapters. Further, the Mathematical Supplement at the end of the book offers a brief introduction to the concepts of differential calculus mentioned. The main text is divided into three parts, the first of which presents the mechanics of a single particle from both the kinetic and the dynamical perspectives. The second part then focuses on the mechanics of more complex structures, such as systems of particles, rigid bodies and ideal fluids, while the third part consists of 60 fully solved problems. Though chiefly intended as a primary text for freshman-level physics courses, the book can also be used as a supplemental (tutorial) resource for introductory courses on classical mechanics for physicists and engineers

Author : Stephanie Frank Singer
Publisher : Springer Science & Business Media
ISBN 13 : 1461201896
Total Pages : 201 pages
Book Rating : 4.92/5 ( download)

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Download or read book Symmetry in Mechanics written by Stephanie Frank Singer and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 201 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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.