Foundations Of Mechanics

Foundations Of Mechanics
Author: Ralph Abraham
Publisher: CRC Press
Total Pages: 849
Release: 2019-04-24
Genre: Science
ISBN: 0429689047

Foundations of Mechanics is a mathematical exposition of classical mechanics with an introduction to the qualitative theory of dynamical systems and applications to the two-body problem and three-body problem.

The Foundations of Mechanics and Thermodynamics

The Foundations of Mechanics and Thermodynamics
Author: W. Noll
Publisher: Springer Science & Business Media
Total Pages: 330
Release: 2012-12-06
Genre: Science
ISBN: 3642658172

German scholars, against odds now not only forgotten but also hard to imagine, were striving to revivify the life of the mind which the mental and physical barbarity preached and practised by the -isms and -acies of 1933-1946 had all but eradicated. Thinking that among the disciples of these elders, restorers rather than progressives, I might find a student or two who would wish to master new mathematics but grasp it and use it with the wholeness of earlier times, in 1952 I wrote to Mr. HAMEL, one of the few then remaining mathematicians from the classical mould, to ask him to name some young men fit to study for the doc torate in The Graduate Institute for Applied Mathematics at Indiana University, flourishing at that time though soon to be destroyed by the jealous ambition of the local, stereotyped pure. Having just retired from the Technische Universitat in Charlottenburg, he passed my inquiry on to Mr. SZABO, in whose institute there NOLL was then an assistant. Although Mr.

Foundations of Classical Mechanics

Foundations of Classical Mechanics
Author: P. C. Deshmukh
Publisher: Cambridge University Press
Total Pages: 591
Release: 2019-12-12
Genre: Mathematics
ISBN: 110848056X

The book aims at speeding up undergraduates to attain interest in advanced concepts and methods in science and engineering.

The Conceptual Foundations of the Statistical Approach in Mechanics

The Conceptual Foundations of the Statistical Approach in Mechanics
Author: Paul Ehrenfest
Publisher: Courier Corporation
Total Pages: 128
Release: 2014-11-12
Genre: Science
ISBN: 0486163148

Classic 1912 article reformulated the foundations of the statistical approach in mechanics. Largely still valid, the treatment covers older formulation of statistico-mechanical investigations, modern formulation of kineto-statistics of the gas model, and more. 1959 edition.

New Foundations for Classical Mechanics

New Foundations for Classical Mechanics
Author: D. Hestenes
Publisher: Springer Science & Business Media
Total Pages: 655
Release: 2012-12-06
Genre: Science
ISBN: 9400948026

This is a textbook on classical mechanics at the intermediate level, but its main purpose is to serve as an introduction to a new mathematical language for physics called geometric algebra. Mechanics is most commonly formulated today in terms of the vector algebra developed by the American physicist J. Willard Gibbs, but for some applications of mechanics the algebra of complex numbers is more efficient than vector algebra, while in other applica tions matrix algebra works better. Geometric algebra integrates all these algebraic systems into a coherent mathematical language which not only retains the advantages of each special algebra but possesses powerful new capabilities. This book covers the fairly standard material for a course on the mechanics of particles and rigid bodies. However, it will be seen that geometric algebra brings new insights into the treatment of nearly every topic and produces simplifications that move the subject quickly to advanced levels. That has made it possible in this book to carry the treatment of two major topics in mechanics well beyond the level of other textbooks. A few words are in order about the unique treatment of these two topics, namely, rotational dynamics and celestial mechanics.

New Foundations for Classical Mechanics

New Foundations for Classical Mechanics
Author: D. Hestenes
Publisher: Springer Science & Business Media
Total Pages: 716
Release: 2005-12-17
Genre: Science
ISBN: 0306471221

(revised) This is a textbook on classical mechanics at the intermediate level, but its main purpose is to serve as an introduction to a new mathematical language for physics called geometric algebra. Mechanics is most commonly formulated today in terms of the vector algebra developed by the American physicist J. Willard Gibbs, but for some applications of mechanics the algebra of complex numbers is more efficient than vector algebra, while in other applications matrix algebra works better. Geometric algebra integrates all these algebraic systems into a coherent mathematical language which not only retains the advantages of each special algebra but possesses powerful new capabilities. This book covers the fairly standard material for a course on the mechanics of particles and rigid bodies. However, it will be seen that geometric algebra brings new insights into the treatment of nearly every topic and produces simplifications that move the subject quickly to advanced levels. That has made it possible in this book to carry the treatment of two major topics in mechanics well beyond the level of other textbooks. A few words are in order about the unique treatment of these two topics, namely, rotational dynamics and celestial mechanics.

Foundations of Quantum Mechanics

Foundations of Quantum Mechanics
Author: Travis Norsen
Publisher: Springer
Total Pages: 316
Release: 2017-08-17
Genre: Science
ISBN: 3319658670

Authored by an acclaimed teacher of quantum physics and philosophy, this textbook pays special attention to the aspects that many courses sweep under the carpet. Traditional courses in quantum mechanics teach students how to use the quantum formalism to make calculations. But even the best students - indeed, especially the best students - emerge rather confused about what, exactly, the theory says is going on, physically, in microscopic systems. This supplementary textbook is designed to help such students understand that they are not alone in their confusions (luminaries such as Albert Einstein, Erwin Schroedinger, and John Stewart Bell having shared them), to sharpen their understanding of the most important difficulties associated with interpreting quantum theory in a realistic manner, and to introduce them to the most promising attempts to formulate the theory in a way that is physically clear and coherent. The text is accessible to students with at least one semester of prior exposure to quantum (or "modern") physics and includes over a hundred engaging end-of-chapter "Projects" that make the book suitable for either a traditional classroom or for self-study.

Foundations of Statistical Mechanics

Foundations of Statistical Mechanics
Author: O. Penrose
Publisher: Elsevier
Total Pages: 272
Release: 2016-09-21
Genre: Science
ISBN: 1483156486

International Series of Monographs in Natural Philosophy, Volume 22: Foundations of Statistical Mechanics: A Deductive Treatment presents the main approaches to the basic problems of statistical mechanics. This book examines the theory that provides explicit recognition to the limitations on one's powers of observation. Organized into six chapters, this volume begins with an overview of the main physical assumptions and their idealization in the form of postulates. This text then examines the consequences of these postulates that culminate in a derivation of the fundamental formula for calculating probabilities in terms of dynamic quantities. Other chapters provide a careful analysis of the significant notion of entropy, which shows the links between thermodynamics and statistical mechanics and also between communication theory and statistical mechanics. The final chapter deals with the thermodynamic concept of entropy. This book is intended to be suitable for students of theoretical physics. Probability theorists, statisticians, and philosophers will also find this book useful.

Mathematical Foundations of Quantum Mechanics

Mathematical Foundations of Quantum Mechanics
Author: John von Neumann
Publisher: Princeton University Press
Total Pages: 462
Release: 1955
Genre: Mathematics
ISBN: 9780691028934

A revolutionary book that for the first time provided a rigorous mathematical framework for quantum mechanics. -- Google books

John S. Bell on the Foundations of Quantum Mechanics

John S. Bell on the Foundations of Quantum Mechanics
Author: J. S. Bell
Publisher: World Scientific
Total Pages: 252
Release: 2001
Genre: Science
ISBN: 9789810246884

This book is the most complete collection of John S Bell's research papers, review articles and lecture notes on the foundations of quantum mechanics. Some of this material has hitherto been difficult to access. The book also appears in a paperback edition, aimed at students and young researchers.This volume will be very useful to researchers in the foundations and applications of quantum mechanics.