A Student's Guide to Analytical Mechanics

A Student's Guide to Analytical Mechanics
A Book

by John L. Bohn

  • Publisher : Cambridge University Press
  • Release : 2018-08-30
  • Pages : 129
  • ISBN : 1108693237
  • Language : En, Es, Fr & De
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Analytical mechanics is a set of mathematical tools used to describe a wide range of physical systems, both in classical mechanics and beyond. It offers a powerful and elegant alternative to Newtonian mechanics; however it can be challenging to learn due to its high degree of mathematical complexity. Designed to offer a more intuitive guide to this abstract topic, this guide explains the mathematical theory underlying analytical mechanics; helping students to formulate, solve and interpret complex problems using these analytical tools. Each chapter begins with an example of a physical system to illustrate the theoretical steps to be developed in that chapter, and ends with a set of exercises to further develop students' understanding. The book presents the fundamentals of the subject in depth before extending the theory to more elaborate systems, and includes a further reading section to ensure that this is an accessible companion to all standard textbooks.

A Student's Guide to Lagrangians and Hamiltonians

A Student's Guide to Lagrangians and Hamiltonians
A Book

by Patrick Hamill

  • Publisher : Cambridge University Press
  • Release : 2013-11-21
  • Pages : 184
  • ISBN : 1107042887
  • Language : En, Es, Fr & De
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A concise treatment of variational techniques, focussing on Lagrangian and Hamiltonian systems, ideal for physics, engineering and mathematics students.

A Student's Guide to General Relativity

A Student's Guide to General Relativity
A Book

by Norman Gray

  • Publisher : Cambridge University Press
  • Release : 2019-01-03
  • Pages : 162
  • ISBN : 1107183464
  • Language : En, Es, Fr & De
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Vectors, tensors and functions -- Manifolds, vectors and differentiation -- Energy, momentum and Einstein's equations

A Student's Guide to the Schrödinger Equation

A Student's Guide to the Schrödinger Equation
A Book

by Daniel A. Fleisch

  • Publisher : Cambridge University Press
  • Release : 2020-02-20
  • Pages : 234
  • ISBN : 1108834736
  • Language : En, Es, Fr & De
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A clear guide to the key concepts and mathematical techniques underlying the Schrödinger equation, including homework problems and fully worked solutions.

A Student's Guide to Newton's Laws of Motion

A Student's Guide to Newton's Laws of Motion
A Book

by Sanjoy Mahajan

  • Publisher : Cambridge University Press
  • Release : 2020-03-31
  • Pages : 210
  • ISBN : 1108471145
  • Language : En, Es, Fr & De
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Master Newton's laws of motion, the basis of modern science and engineering, with this intuitive and accessible text.

A Student's Guide Through the Great Physics Texts

A Student's Guide Through the Great Physics Texts
Volume II: Space, Time and Motion

by Kerry Kuehn

  • Publisher : Springer
  • Release : 2014-09-15
  • Pages : 380
  • ISBN : 1493913662
  • Language : En, Es, Fr & De
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This book provides a chronological introduction to the science of motion and rest based on the reading and analysis of significant portions of Galileo’s Dialogues Concerning Two New Sciences, Pascal’s Treatise on the Equilibrium of Fluids and the Weight of the Mass of Air, Newton’s Mathematical Principles of Natural Philosophy, and Einstein’s Relativity. Each chapter begins with a short introduction followed by a reading selection. Carefully crafted study questions draw out key points in the text and focus the reader’s attention on the author’s methods, analysis, and conclusions. Numerical and laboratory exercises at the end of each chapter test the reader’s ability to understand and apply key concepts from the text. Space, Time and Motion is the second of four volumes in A Student’s Guide through the Great Physics Texts. This book grew out of a four-semester undergraduate physics curriculum designed to encourage a critical and circumspect approach to natural science, while at the same time preparing students for advanced coursework in physics. This book is particularly suitable as a college-level textbook for students of the natural sciences, history or philosophy. It also serves as a textbook for advanced high-school students, or as a thematically-organized source-book for scholars and motivated lay-readers. In studying the classic scientific texts included herein, the reader will be drawn toward a lifetime of contemplation.

The Students' Guide in Quantitative Analysis

The Students' Guide in Quantitative Analysis
Intended as an Aid to the Study of Fresenius' System

by Henry Carrington Bolton

  • Publisher : Unknown Publisher
  • Release : 1881
  • Pages : 143
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Lagrangian and Hamiltonian Mechanics

Lagrangian and Hamiltonian Mechanics
Solutions to the Exercises

by Melvin G. Calkin

  • Publisher : World Scientific
  • Release : 1999
  • Pages : 230
  • ISBN : 9789810237820
  • Language : En, Es, Fr & De
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This book contains the exercises from the classical mechanics text Lagrangian and Hamiltonian Mechanics, together with their complete solutions. It is intended primarily for instructors who are using Lagrangian and Hamiltonian Mechanics in their course, but it may also be used, together with that text, by those who are studying mechanics on their own.

Computer Algebra Recipes for Classical Mechanics

Computer Algebra Recipes for Classical Mechanics
A Book

by Richard H. Enns,George C. McGuire

  • Publisher : Springer Science & Business Media
  • Release : 2012-12-06
  • Pages : 265
  • ISBN : 146120013X
  • Language : En, Es, Fr & De
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This is a standalone, but the recipes are correlated with topics found in standard texts, and make use of MAPLE (Release 7). As a reference text, or self-study guide this book is useful for science professionals and engineers.; Good for the classroom correlates with topics found in standard classical mechanics texts.; This book makes use of the powerful computer algebra system MAPLE (Release 7) but no prior knowledge of MAPLE is presumed.; The relevant command structures are explained on a need-to-know basis as the recipes are developed, thus making this a standalone text.

Classical Mechanics with Maxima

Classical Mechanics with Maxima
A Book

by Todd Keene Timberlake,J. Wilson Mixon

  • Publisher : Springer
  • Release : 2015-10-06
  • Pages : 258
  • ISBN : 1493932071
  • Language : En, Es, Fr & De
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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.

Analytical Mechanics

Analytical Mechanics
A Book

by Nivaldo A. Lemos

  • Publisher : Cambridge University Press
  • Release : 2018-08-31
  • Pages : 129
  • ISBN : 1108265944
  • Language : En, Es, Fr & De
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Analytical mechanics is the foundation of many areas of theoretical physics including quantum theory and statistical mechanics, and has wide-ranging applications in engineering and celestial mechanics. This introduction to the basic principles and methods of analytical mechanics covers Lagrangian and Hamiltonian dynamics, rigid bodies, small oscillations, canonical transformations and Hamilton–Jacobi theory. This fully up-to-date textbook includes detailed mathematical appendices and addresses a number of advanced topics, some of them of a geometric or topological character. These include Bertrand's theorem, proof that action is least, spontaneous symmetry breakdown, constrained Hamiltonian systems, non-integrability criteria, KAM theory, classical field theory, Lyapunov functions, geometric phases and Poisson manifolds. Providing worked examples, end-of-chapter problems, and discussion of ongoing research in the field, it is suitable for advanced undergraduate students and graduate students studying analytical mechanics.

Classical Mechanics

Classical Mechanics
A Computational Approach with Examples Using Mathematica and Python

by Christopher W. Kulp,Vasilis Pagonis

  • Publisher : CRC Press
  • Release : 2020-11-16
  • Pages : 456
  • ISBN : 1351024361
  • Language : En, Es, Fr & De
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Classical Mechanics: A Computational Approach with Examples using Python and Mathematica provides a unique, contemporary introduction to classical mechanics, with a focus on computational methods. In addition to providing clear and thorough coverage of key topics, this textbook includes integrated instructions and treatments of computation. Full of pedagogy, it contains both analytical and computational example problems within the body of each chapter. The example problems teach readers both analytical methods and how to use computer algebra systems and computer programming to solve problems in classical mechanics. End-of-chapter problems allow students to hone their skills in problem solving with and without the use of a computer. The methods presented in this book can then be used by students when solving problems in other fields both within and outside of physics. It is an ideal textbook for undergraduate students in physics, mathematics, and engineering studying classical mechanics. Features: Gives readers the "big picture" of classical mechanics and the importance of computation in the solution of problems in physics Numerous example problems using both analytical and computational methods, as well as explanations as to how and why specific techniques were used Online resources containing specific example codes to help students learn computational methods and write their own algorithms A solutions manual is available via the Routledge Instructor Hub and extra code is available via the Support Material tab

Analytical Mechanics

Analytical Mechanics
A Book

by Grant R. Fowles

  • Publisher : Unknown Publisher
  • Release : 1962
  • Pages : 278
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Master introductory mechanics with ANALYTICAL MECHANICS! Direct and practical, this physics text is designed to help you grasp the challenging concepts of physics. Specific cases are included to help you master theoretical material. Numerous worked examples found throughout increase your problem-solving skills and prepare you to succeed on tests.

Theoretical Foundations of Nanoscale Quantum Devices

Theoretical Foundations of Nanoscale Quantum Devices
A Book

by Malin Premaratne,Govind P. Agrawal

  • Publisher : Cambridge University Press
  • Release : 2020-11-30
  • Pages : 129
  • ISBN : 1108639364
  • Language : En, Es, Fr & De
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Nanooptics which describes the interaction of light with matter at the nanoscale, is a topic of great fundamental interest to physicists and engineers and allows the direct observation of quantum mechanical phenomena in action. This self-contained and extensively referenced text describes the underlying theory behind nanodevices operating in the quantum regime for use both in advanced courses and as a reference for researchers in physics, chemistry, electrical engineering, and materials science. Presenting an extensive theoretical toolset for design and analysis of nanodevices, the authors demonstrate the art of developing approximate quantum models of real nanodevices. The rudimentary mathematical knowledge required to master the material is carefully introduced, with detailed derivations and frequent worked examples allowing readers to gain a thorough understanding of the material. More advanced applications are gradually introduced alongside analytical approximations and simplifying assumptions often used to make such problems tractable while representative of the observed features.

A Student's Guide Through the Great Physics Texts

A Student's Guide Through the Great Physics Texts
Volume I: The Heavens and The Earth

by Kerry Kuehn

  • Publisher : Springer
  • Release : 2014-09-15
  • Pages : 396
  • ISBN : 1493913603
  • Language : En, Es, Fr & De
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This book provides a chronological introduction to the sciences of astronomy and cosmology based on the reading and analysis of significant selections from classic texts, such as Ptolemy’s The Almagest, Kepler’s Epitome of Copernican Astronomy, Shapley’s Galaxies and Lemaître’s The Primeval Atom. Each chapter begins with a short introduction followed by a reading selection. Carefully crafted study questions draw out key points in the text and focus the reader’s attention on the author’s methods, analysis, and conclusions. Numerical and observational exercises at the end of each chapter test the reader’s ability to understand and apply key concepts from the text. The Heavens and the Earth is the first of four volumes in A Student’s Guide Through the Great Physics Texts. This book grew out of a four-semester undergraduate physics curriculum designed to encourage a critical and circumspect approach to natural science, while at the same time preparing students for advanced coursework in physics. This book is particularly suitable as a college-level textbook for students of the natural sciences, history or philosophy. It also serves as a textbook for advanced high-school students, or as a thematically-organized source-book for scholars and motivated lay-readers. In studying the classic scientific texts included herein, the reader will be drawn toward a lifetime of contemplation.

The Graduate Student’s Guide to Numerical Analysis ’98

The Graduate Student’s Guide to Numerical Analysis ’98
Lecture Notes from the VIII EPSRC Summer School in Numerical Analysis

by Mark Ainsworth,Jeremy Levesley,Marco Marletta

  • Publisher : Springer Science & Business Media
  • Release : 2012-12-06
  • Pages : 252
  • ISBN : 3662039729
  • Language : En, Es, Fr & De
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Detailed lecture notes on six topics at the forefront of current research in numerical analysis and applied mathematics, with each set of notes presenting a self-contained guide to a current research area and supplemented by an extensive bibliography. In addition, most of the notes contain detailed proofs of the key results. They start from a level suitable for first year graduates in applied mathematics, mathematical analysis or numerical analysis, and proceed to current research topics. Readers will thus quickly gain an insight into the important results and techniques in each area without recourse to the large research literature. Current (unsolved) problems are also described, and directions for future research given.

Essential Classical Mechanics

Essential Classical Mechanics
Problems and Solutions

by Lee Choonkyu,Min Hyunsoo

  • Publisher : World Scientific
  • Release : 1998-06-26
  • Pages : 508
  • ISBN : 9813270071
  • Language : En, Es, Fr & De
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Problem solving in physics is not simply a test of understanding, but an integral part of learning. This book contains complete step-by-step solutions for all exercise problems in Essential Classical Mechanics, with succinct chapter-by-chapter summaries of key concepts and formulas. The degree of difficulty with problems varies from quite simple to very challenging; but none too easy, as all problems in physics demand some subtlety of intuition. The emphasis of the book is not so much in acquainting students with various problem-solving techniques as in suggesting ways of thinking. For undergraduate and graduate students, as well as those involved in teaching classical mechanics, this book can be used as a supplementary text or as an independent study aid.

A Student's Guide to Analytical Physics

A Student's Guide to Analytical Physics
A Book

by Donald Earl DeGraaf

  • Publisher : Unknown Publisher
  • Release : 1970
  • Pages : 129
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Classical Mechanics

Classical Mechanics
A Book

by Matthew J. Benacquista,Joseph D. Romano

  • Publisher : Springer
  • Release : 2018-02-27
  • Pages : 546
  • ISBN : 3319687808
  • Language : En, Es, Fr & De
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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.

Classical Mechanics: Lecture Notes

Classical Mechanics: Lecture Notes
A Book

by Helmut Haberzettl

  • Publisher : World Scientific
  • Release : 2021-06-15
  • Pages : 384
  • ISBN : 9811238294
  • Language : En, Es, Fr & De
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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.