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Lectures in Classical Mechanics

Author : Victor Ilisie
Publisher : Springer Nature
Page : 359 pages
File Size : 38,99 MB
Release : 2020-02-05
Category : Science
ISBN : 303038585X

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This exceptionally well-organized book uses solved problems and exercises to help readers understand the underlying concepts of classical mechanics; accordingly, many of the exercises included are of a conceptual rather than practical nature. A minimum of necessary background theory is presented, before readers are asked to solve the theoretical exercises. In this way, readers are effectively invited to discover concepts on their own. While more practical exercises are also included, they are always designed to introduce readers to something conceptually new. Special emphasis is placed on important but often-neglected concepts such as symmetries and invariance, especially when introducing vector analysis in Cartesian and curvilinear coordinates. More difficult concepts, including non-inertial reference frames, rigid body motion, variable mass systems, basic tensorial algebra, and calculus, are covered in detail. The equations of motion in non-inertial reference systems are derived in two independent ways, and alternative deductions of the equations of motion for variable mass problems are presented. Lagrangian and Hamiltonian formulations of mechanics are studied for non-relativistic cases, and further concepts such as inertial reference frames and the equivalence principle are introduced and elaborated on.

The Theoretical Minimum

Author : Leonard Susskind
Publisher : Basic Books
Page : 165 pages
File Size : 26,44 MB
Release : 2014-04-22
Category : Education
ISBN : 0465038921

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A master teacher presents the ultimate introduction to classical mechanics for people who are serious about learning physics "Beautifully clear explanations of famously 'difficult' things," -- Wall Street Journal If you ever regretted not taking physics in college -- or simply want to know how to think like a physicist -- this is the book for you. In this bestselling introduction to classical mechanics, physicist Leonard Susskind and hacker-scientist George Hrabovsky offer a first course in physics and associated math for the ardent amateur. Challenging, lucid, and concise, The Theoretical Minimum provides a tool kit for amateur scientists to learn physics at their own pace.

Fundamentals of Physics I

Author : R. Shankar
Publisher : Yale University Press
Page : 523 pages
File Size : 49,29 MB
Release : 2019-08-20
Category : Science
ISBN : 0300249586

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A beloved introductory physics textbook, now including exercises and an answer key, explains the concepts essential for thorough scientific understanding In this concise book, R. Shankar, a well-known physicist and contagiously enthusiastic educator, explains the essential concepts of Newtonian mechanics, special relativity, waves, fluids, thermodynamics, and statistical mechanics. Now in an expanded edition—complete with problem sets and answers for course use or self-study—this work provides an ideal introduction for college-level students of physics, chemistry, and engineering; for AP Physics students; and for general readers interested in advances in the sciences. The book begins at the simplest level, develops the basics, and reinforces fundamentals, ensuring a solid foundation in the principles and methods of physics.

Lectures on Mechanics

Author : Jerrold E. Marsden
Publisher : Cambridge University Press
Page : 272 pages
File Size : 27,76 MB
Release : 1992-04-30
Category : Mathematics
ISBN : 9780521428446

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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.

Lectures On Computation

Author : Richard P. Feynman
Publisher : Addison-Wesley Longman
Page : 328 pages
File Size : 16,87 MB
Release : 1996-09-08
Category : Computers
ISBN :

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Covering the theory of computation, information and communications, the physical aspects of computation, and the physical limits of computers, this text is based on the notes taken by one of its editors, Tony Hey, on a lecture course on computation given b

Lecture Notes on Newtonian Mechanics

Author : Ilya L. Shapiro
Publisher : Springer Science & Business Media
Page : 255 pages
File Size : 11,31 MB
Release : 2013-08-15
Category : Science
ISBN : 1461478251

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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.

Classical Mechanics: Lecture Notes

Author : Helmut Haberzettl
Publisher : World Scientific
Page : 384 pages
File Size : 27,66 MB
Release : 2021-06-15
Category : Science
ISBN : 9811238294

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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.

Lectures on Quantum Mechanics

Author : Paul A. M. Dirac
Publisher : Courier Corporation
Page : 100 pages
File Size : 49,80 MB
Release : 2013-05-27
Category : Science
ISBN : 0486320286

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Four concise, brilliant lectures on mathematical methods in quantum mechanics from Nobel Prize–winning quantum pioneer build on idea of visualizing quantum theory through the use of classical mechanics.

Lectures on the Geometry of Numbers

Author : Carl Ludwig Siegel
Publisher : Springer Science & Business Media
Page : 168 pages
File Size : 28,90 MB
Release : 2013-03-09
Category : Mathematics
ISBN : 366208287X

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Carl Ludwig Siegel gave a course of lectures on the Geometry of Numbers at New York University during the academic year 1945-46, when there were hardly any books on the subject other than Minkowski's original one. This volume stems from Siegel's requirements of accuracy in detail, both in the text and in the illustrations, but involving no changes in the structure and style of the lectures as originally delivered. This book is an enticing introduction to Minkowski's great work. It also reveals the workings of a remarkable mind, such as Siegel's with its precision and power and aesthetic charm. It is of interest to the aspiring as well as the established mathematician, with its unique blend of arithmetic, algebra, geometry, and analysis, and its easy readability.

Lectures on Quantum Mechanics for Mathematics Students

Author : L. D. Faddeev
Publisher : American Mathematical Soc.
Page : 250 pages
File Size : 49,35 MB
Release : 2009
Category : Science
ISBN : 082184699X

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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.