Lecture Notes on Newtonian Mechanics

Lessons from Modern Concepts
Author: Ilya L. Shapiro,Guilherme de Berredo-Peixoto
Publisher: Springer Science & Business Media
ISBN: 1461478251
Category: Science
Page: 250
View: 8457

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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.

A Complete Course on Theoretical Physics

From Classical Mechanics to Advanced Quantum Statistics
Author: Albrecht Lindner,Dieter Strauch
Publisher: Springer
ISBN: 3030043606
Category: Science
Page: 638
View: 5040

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Kompakt und verständlich führt dieses Lehrbuch in die Grundlagen der theoretischen Physik ein. Dabei werden die üblichen Themen der Grundvorlesungen Mechanik, Elektrodynamik, Relativitätstheorie, Quantenmechanik , Thermodynamik und Statistik in einem Band zusammengefasst, um den Zusammenhang zwischen den einzelnen Teilgebieten besonders zu betonen. Ein Kapitel mit mathematischen Grundlagen der Physik erleichtert den Einstieg. Zahlreiche Übungsaufgaben dienen der Vertiefung des Stoffes.

Classical Mechanics, Second Edition


Author: Tai L. Chow
Publisher: CRC Press
ISBN: 1466569980
Category: Science
Page: 639
View: 3021

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Classical Mechanics, Second Edition presents a complete account of the classical mechanics of particles and systems for physics students at the advanced undergraduate level. The book evolved from a set of lecture notes for a course on the subject taught by the author at California State University, Stanislaus, for many years. It assumes the reader has been exposed to a course in calculus and a calculus-based general physics course. However, no prior knowledge of differential equations is required. Differential equations and new mathematical methods are developed in the text as the occasion demands. The book begins by describing fundamental concepts, such as velocity and acceleration, upon which subsequent chapters build. The second edition has been updated with two new sections added to the chapter on Hamiltonian formulations, and the chapter on collisions and scattering has been rewritten. The book also contains three new chapters covering Newtonian gravity, the Hamilton-Jacobi theory of dynamics, and an introduction to Lagrangian and Hamiltonian formulations for continuous systems and classical fields. To help students develop more familiarity with Lagrangian and Hamiltonian formulations, these essential methods are introduced relatively early in the text. The topics discussed emphasize a modern perspective, with special note given to concepts that were instrumental in the development of modern physics, for example, the relationship between symmetries and the laws of conservation. Applications to other branches of physics are also included wherever possible. The author provides detailed mathematical manipulations, while limiting the inclusion of the more lengthy and tedious ones. Each chapter contains homework problems of varying degrees of difficulty to enhance understanding of the material in the text. This edition also contains four new appendices on D'Alembert's principle and Lagrange's equations, derivation of Hamilton’s principle, Noether’s theorem, and conic sections.

A Course in Classical Physics 1—Mechanics


Author: Alessandro Bettini
Publisher: Springer
ISBN: 3319292579
Category: Science
Page: 388
View: 5055

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This first volume covers the mechanics of point particles, gravitation, extended systems (starting from the two-body system), the basic concepts of relativistic mechanics and the mechanics of rigid bodies and fluids. It is part of a four-volume textbook, which covers electromagnetism, mechanics, fluids and thermodynamics, and waves and light, and is designed to reflect the typical syllabus during the first two years of a calculus-based university physics program. Throughout all four volumes, particular attention is paid to in-depth clarification of conceptual aspects, and to this end the historical roots of the principal concepts are traced. Writings by the founders of classical mechanics, G. Galilei and I. Newton, are reproduced, encouraging students to consult them. Emphasis is also consistently placed on the experimental basis of the concepts, highlighting the experimental nature of physics. Whenever feasible at the elementary level, concepts relevant to more advanced courses in modern physics are included. Each chapter begins with an introduction that briefly describes the subjects to be discussed and ends with a summary of the main results. A number of “Questions” are included to help readers check their level of understanding. The textbook offers an ideal resource for physics students, lecturers and, last but not least, all those seeking a deeper understanding of the experimental basics of physics.

Mathematische Physik: Klassische Mechanik


Author: Andreas Knauf
Publisher: Springer-Verlag
ISBN: 3662557762
Category: Science
Page: 652
View: 9557

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Als Grenztheorie der Quantenmechanik besitzt die klassische Dynamik einen großen Formenreichtum – vom gut berechenbaren bis zum chaotischen Verhalten. Ausgehend von interessanten Beispielen wird in dem Band nicht nur eine gelungene Auswahl grundlegender Themen vermittelt, sondern auch der Einstieg in viele aktuelle Forschungsgebiete im Bereich der klassischen Mechanik. Didaktisch geschickt aufgebaut und mit hilfreichen Anhängen versehen, werden lediglich Kenntnisse der Grundvorlesungen in Mathematik vorausgesetzt. Mit über 100 Aufgaben und Lösungen.

Klassische Mechanik


Author: Herbert Goldstein,Charles P. Poole, Jr.,John L. Safko, Sr.
Publisher: John Wiley & Sons
ISBN: 3527662073
Category: Science
Page: 700
View: 2920

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Der Goldstein gehört zu den Standardwerken für die Vorlesung in Klassischer Mechanik, die Pflichtvorlesung und Teil des Theorie-Lehrplans jedes Physik-Studienganges ist. Für diese aktuelle Ausgabe haben Charles Poole und John Safko die Texte überarbeitet und neueste Themen, Anwendungen und Notationen eingearbeitet und sind damit auf moderne Trends in der Theoretischen Mechanik eingegangen. Neue numerische Übungen verhelfen den Studenten zur Fähigkeit, Computeranwendungen für die Lösung von Physikproblemen zu benutzen. Mathematische Techniken werden detailliert eingeführt, so daß der Text auch für Studenten ohne den entsprechenden Hintergrund der Theoretischen Mechanik verständlich ist.

Vorlesungen über theoretische Physik

Partielle Differentialgleichungen der Physik / bearb. und erg. von Fritz Sauter
Author: Arnold Sommerfeld,Fritz Sauter
Publisher: Harri Deutsch Verlag
ISBN: 9783871443794
Category:
Page: 298
View: 5741

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Elementary Mechanics Using Python

A Modern Course Combining Analytical and Numerical Techniques
Author: Anders Malthe-Sørenssen
Publisher: Springer
ISBN: 3319195964
Category: Science
Page: 590
View: 494

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This book – specifically developed as a novel textbook on elementary classical mechanics – shows how analytical and numerical methods can be seamlessly integrated to solve physics problems. This approach allows students to solve more advanced and applied problems at an earlier stage and equips them to deal with real-world examples well beyond the typical special cases treated in standard textbooks. Another advantage of this approach is that students are brought closer to the way physics is actually discovered and applied, as they are introduced right from the start to a more exploratory way of understanding phenomena and of developing their physical concepts. While not a requirement, it is advantageous for the reader to have some prior knowledge of scientific programming with a scripting-type language. This edition of the book uses Python, and a chapter devoted to the basics of scientific programming with Python is included. A parallel edition using Matlab instead of Python is also available. Last but not least, each chapter is accompanied by an extensive set of course-tested exercises and solutions.

Continuum Mechanics in the Earth Sciences


Author: William I. Newman
Publisher: Cambridge University Press
ISBN: 1107078679
Category: Science
Page: N.A
View: 757

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Continuum mechanics underlies many geological and geophysical phenomena, from earthquakes and faults to the fluid dynamics of the Earth. This interdisciplinary book provides geoscientists, physicists and applied mathematicians with a class-tested, accessible overview of continuum mechanics. Starting from thermodynamic principles and geometrical insights, the book surveys solid, fluid and gas dynamics. In later review chapters, it explores new aspects of the field emerging from nonlinearity and dynamical complexity and provides a brief introduction to computational modeling. Simple, yet rigorous, derivations are used to review the essential mathematics. The author emphasizes the full three-dimensional geometries of real-world examples, enabling students to apply this in deconstructing solid earth and planet-related problems. Problem sets and worked examples are provided, making this a practical resource for graduate students in geophysics, planetary physics and geology and a beneficial tool for professional scientists seeking a better understanding of the mathematics and physics within Earth sciences.

A Course in Classical Physics 3 — Electromagnetism


Author: Alessandro Bettini
Publisher: Springer
ISBN: 3319408712
Category: Science
Page: 403
View: 5528

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Focusing on electromagnetism, this third volume of a four-volume textbook covers the electric field under static conditions, constant electric currents and their laws, the magnetic field in a vacuum, electromagnetic induction, magnetic energy under static conditions, the magnetic properties of matter, and the unified description of electromagnetic phenomena provided by Maxwell’s equations. The four-volume textbook as a whole covers electromagnetism, mechanics, fluids and thermodynamics, and waves and light, and is designed to reflect the typical syllabus during the first two years of a calculus-based university physics program. Throughout all four volumes, particular attention is paid to in-depth clarification of conceptual aspects, and to this end the historical roots of the principal concepts are traced. Emphasis is also consistently placed on the experimental basis of the concepts, highlighting the experimental nature of physics. Whenever feasible at the elementary level, concepts relevant to more advanced courses in quantum mechanics and atomic, solid state, nuclear, and particle physics are included. The textbook offers an ideal resource for physics students, lecturers and, last but not least, all those seeking a deeper understanding of the experimental basics of physics.

A Modern Approach to Classical Mechanics


Author: Harald Iro
Publisher: World Scientific
ISBN: 9789812382139
Category: Science
Page: 442
View: 2789

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The approach to classical mechanics adopted in this book includes and stresses recent developments in nonlinear dynamical systems. The concepts necessary to formulate and understand chaotic behavior are presented. Besides the conventional topics (such as oscillators, the Kepler problem, spinning tops and the two centers problem) studied in the frame of Newtonian, Lagrangian, and Hamiltonian mechanics, nonintegrable systems (the H‚non-Heiles system, motion in a Coulomb force field together with a homogeneous magnetic field, the restricted three-body problem) are also discussed. The question of the integrability (of planetary motion, for example) leads finally to the KAM-theorem.This book is the result of lectures on 'Classical Mechanics' as the first part of a basic course in Theoretical Physics. These lectures were given by the author to undergraduate students in their second year at the Johannes Kepler University Linz, Austria. The book is also addressed to lecturers in this field and to physicists who want to obtain a new perspective on classical mechanics.

Leiter, Halbleiter, Supraleiter - Eine Einführung in die Festkörperphysik

Für Physiker, Ingenieure und Naturwissenschaftler
Author: Rudolf Huebener
Publisher: Springer-Verlag
ISBN: 3642348793
Category: Science
Page: 208
View: 6732

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In der 2. Hälfte des vorigen Jahrhunderts erfuhr die Festkörperphysik und Materialwissenschaft einen großen Aufschwung und etablierte sich als wichtiges und eigenständiges Fach. Das vorliegende Buch gibt eine Einführung in die Grundlagen der Festkörperphysik, wobei auch die beteiligten Personen und ihr Umfeld beleuchtet werden. Der Schwerpunkt liegt bei den elektrischen und magnetischen Materialeigenschaften. Die Zielgruppe Das Buch richtet sich an Studenten im Fach Physik, Ingenieurwissenschaften und Materialwissenschaften bis zum Bachelor. Es kann durch seine anschaulichen Erklärungen und seinen didaktischen Ansatz auch als motivierende Vorstufe und unterstützendes Begleitwerk beim Studium anspruchsvollerer Lehrbücher der Festkörperphysik benutzt werden. Ein Grundlagenwerk für Studierende der Festkörperphysik und Anwender, die mit Leitern, Halbleitern oder Supraleitern umgehen. Geeignet zur Wiederholung und Prüfungsvorbereitung.​

Elementary Mechanics Using Matlab

A Modern Course Combining Analytical and Numerical Techniques
Author: Anders Malthe-Sørenssen
Publisher: Springer
ISBN: 3319195875
Category: Science
Page: 590
View: 1462

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This book – specifically developed as a novel textbook on elementary classical mechanics – shows how analytical and numerical methods can be seamlessly integrated to solve physics problems. This approach allows students to solve more advanced and applied problems at an earlier stage and equips them to deal with real-world examples well beyond the typical special cases treated in standard textbooks. Another advantage of this approach is that students are brought closer to the way physics is actually discovered and applied, as they are introduced right from the start to a more exploratory way of understanding phenomena and of developing their physical concepts. While not a requirement, it is advantageous for the reader to have some prior knowledge of scientific programming with a scripting-type language. This edition of the book uses Matlab, and a chapter devoted to the basics of scientific programming with Matlab is included. A parallel edition using Python instead of Matlab is also available. Last but not least, each chapter is accompanied by an extensive set of course-tested exercises and solutions.

A Course in Classical Physics 4 - Waves and Light


Author: Alessandro Bettini
Publisher: Springer
ISBN: 3319483293
Category: Science
Page: 361
View: 943

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This fourth volume of a four-volume textbook covers the oscillations of systems with one or more degrees of freedom; the concept of waves, focusing on light and sound; phase and group velocities, their physical meaning, and their measurement; diffraction and interference of light; polarization phenomena; and the formation of images in the eye and in optical instruments. The textbook as a whole covers electromagnetism, mechanics, fluids and thermodynamics, and waves and light, and is designed to reflect the typical syllabus during the first two years of a calculus-based university physics program. Throughout all four volumes, particular attention is paid to in-depth clarification of conceptual aspects, and to this end the historical roots of the principal concepts are traced. Emphasis is also consistently placed on the experimental basis of the concepts, highlighting the experimental nature of physics. Whenever feasible at the elementary level, concepts relevant to more advanced courses in quantum mechanics and atomic, solid state, nuclear, and particle physics are included. The textbook offers an ideal resource for physics students, lecturers and, last but not least, all those seeking a deeper understanding of the experimental basics of physics.

Theoretische Konzepte der Physik

Eine alternative Betrachtung
Author: Malcolm S. Longair
Publisher: Springer-Verlag
ISBN: 3642761119
Category: Science
Page: 380
View: 5067

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"Dies ist kein Lehrbuch der theoretischen Physik, auch kein Kompendium der Physikgeschichte ... , vielmehr eine recht anspruchsvolle Sammlung historischer Miniaturen zur Vergangenheit der theoretischen Physik - ihrer "Sternstunden", wenn man so will. Frei vom Zwang, etwas Erschöpfendes vorlegen zu müssen, gelingt dem Autor etwas Seltenes: einen "lebendigen" Zugang zum Ideengebäude der modernen Physik freizulegen, ... zu zeigen, wie Physik in praxi entsteht... Als Vehikel seiner Absichten dienen dem Autor geschichtliche Fallstudien, insgesamt sieben an der Zahl. Aus ihnen extrahiert er das seiner Meinung nach Lehrhafte, dabei bestrebt, mathematische Anachronismen womöglich zu vermeiden... Als Student hätte ich mir diese gescheiten Essays zum Werden unserer heutigen physikalischen Weltsicht gewünscht. Sie sind originell, didaktisch klug und genieren sich auch nicht, von der Faszination zu sprechen, die ... von der Physik ausgeht. Unnötig darauf hinzuweisen, das sie ein gründliches "konventionelles" Studium weder ersetzen wollen noch können, sie vermögen aber, dazu zu ermuntern." #Astronomische Nachrichten (zur englischen Ausgabe)#1

Experiments and Video Analysis in Classical Mechanics


Author: Vitor L. B. de Jesus
Publisher: Springer
ISBN: 3319524070
Category: Science
Page: 191
View: 7069

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This book is an experimental physics textbook on classical mechanics focusing on the development of experimental skills by means of discussion of different aspects of the experimental setup and the assessment of common issues such as accuracy and graphical representation. The most important topics of an experimental physics course on mechanics are covered and the main concepts are explored in detail. Each chapter didactically connects the experiment and the theoretical models available to explain it. Real data from the proposed experiments are presented and a clear discussion over the theoretical models is given. Special attention is also dedicated to the experimental uncertainty of measurements and graphical representation of the results. In many of the experiments, the application of video analysis is proposed and compared with traditional methods.

Distributionen Und Hilbertraumoperatoren

Mathematische Methoden Der Physik
Author: Philippe Blanchard,Erwin Brüning
Publisher: Springer
ISBN: 9783211825075
Category: Science
Page: 375
View: 2954

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Das Buch bietet eine Einführung in die zum Studium der Theoretischen Physik notwendigen mathematischen Grundlagen. Der erste Teil des Buches beschäftigt sich mit der Theorie der Distributionen und vermittelt daneben einige Grundbegriffe der linearen Funktionalanalysis. Der zweite Teil baut darauf auf und gibt eine auf das Wesentliche beschränkte Einführung in die Theorie der linearen Operatoren in Hilbert-Räumen. Beide Teile werden von je einer Übersicht begleitet, die die zentralen Ideen und Begriffe knapp erläutert und den Inhalt kurz beschreibt. In den Anhängen werden einige grundlegende Konstruktionen und Konzepte der Funktionalanalysis dargestellt und wichtige Konsequenzen entwickelt.