Fundamental Principles Of Classical Mechanics A Geometrical Perspective
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Fundamental Principles Of Classical Mechanics A Geometrical Perspective
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Author : Kai S Lam
language : en
Publisher: World Scientific Publishing Company
Release Date : 2014-07-07
Fundamental Principles Of Classical Mechanics A Geometrical Perspective written by Kai S Lam and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-07 with Science categories.
This book is written with the belief that classical mechanics, as a theoretical discipline, possesses an inherent beauty, depth, and richness that far transcends its immediate applications in mechanical systems. These properties are manifested, by and large, through the coherence and elegance of the mathematical structure underlying the discipline, and are eminently worthy of being communicated to physics students at the earliest stage possible. This volume is therefore addressed mainly to advanced undergraduate and beginning graduate physics students who are interested in the application of modern mathematical methods in classical mechanics, in particular, those derived from the fields of topology and differential geometry, and also to the occasional mathematics student who is interested in important physics applications of these areas of mathematics. Its main purpose is to offer an introductory and broad glimpse of the majestic edifice of the mathematical theory of classical dynamics, not only in the time-honored analytical tradition of Newton, Laplace, Lagrange, Hamilton, Jacobi, and Whittaker, but also the more topological/geometrical one established by Poincare, and enriched by Birkhoff, Lyapunov, Smale, Siegel, Kolmogorov, Arnold, and Moser (as well as many others).
Fundamental Principles Of Classical Mechanics
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Author : Kai Shue Lam
language : en
Publisher: World Scientific Publishing Company Incorporated
Release Date : 2014
Fundamental Principles Of Classical Mechanics written by Kai Shue Lam and has been published by World Scientific Publishing Company Incorporated this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014 with Science categories.
This book is written with the belief that classical mechanics, as a theoretical discipline, possesses an inherent beauty, depth, and richness that far transcends its immediate applications in mechanical systems. These properties are manifested, by and large, through the coherence and elegance of the mathematical structure underlying the discipline, and are eminently worthy of being communicated to physics students at the earliest stage possible. This volume is therefore addressed mainly to advanced undergraduate and beginning graduate physics students who are interested in the application of modern mathematical methods in classical mechanics, in particular, those derived from the fields of topology and differential geometry, and also to the occasional mathematics student who is interested in important physics applications of these areas of mathematics. Its main purpose is to offer an introductory and broad glimpse of the majestic edifice of the mathematical theory of classical dynamics, not only in the time-honored analytical tradition of Newton, Laplace, Lagrange, Hamilton, Jacobi, and Whittaker, but also the more topological/geometrical one established by Poincare, and enriched by Birkhoff, Lyapunov, Smale, Siegel, Kolmogorov, Arnold, and Moser (as well as many others).
Essential Classical Mechanics
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Author : Choonkyu Lee
language : en
Publisher: World Scientific Publishing Company
Release Date : 2018-04-17
Essential Classical Mechanics written by Choonkyu Lee and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-04-17 with Science categories.
'The authors deliver a highly readable text which should assure a continued supply of practitioners of classical mechanics and its applications.'Contemporary PhysicsThis is a book on intermediate classical mechanics. In this book, classical mechanics is presented as a useful tool to analyze the physical universe and also as the base on which the whole pyramid of modern physics has been erected. Various mechanical concepts are developed in a highly logical manner, with relatively thorough treatments on mathematical procedures and many physically interesting applications. Connections to more modern theoretical developments (including statistical physics, relativity, and quantum mechanics) are emphasized.
Essential Classical Mechanics Problems And Solutions
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Author : Choonkyu Lee
language : en
Publisher: World Scientific
Release Date : 2018-07-10
Essential Classical Mechanics Problems And Solutions written by Choonkyu Lee and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-07-10 with Science categories.
'The authors of this book offer a very strong reason for the study of classical mechanics describing it 'as the base on which the whole pyramid of modern physics has been erected' … In order that students can gauge their understanding of the various topics, many exercises are introduced. Some of those should be straightforward whilst others are quite challenging … The authors are to be thanked for delivering a highly readable text which should assure a continued supply of practitioners of classical mechanics and its applications.'Contemporary PhysicsProblem 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.
Analytical Mechanics
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Author : Nivaldo A. Lemos
language : en
Publisher: Cambridge University Press
Release Date : 2018-08-09
Analytical Mechanics written by Nivaldo A. Lemos and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-08-09 with Science categories.
An introduction to the basic principles and methods of analytical mechanics, with selected examples of advanced topics and areas of ongoing research.
Fundamentals Of Tensor Calculus For Engineers With A Primer On Smooth Manifolds
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Author : Uwe Mühlich
language : en
Publisher: Springer
Release Date : 2017-04-18
Fundamentals Of Tensor Calculus For Engineers With A Primer On Smooth Manifolds written by Uwe Mühlich and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-04-18 with Science categories.
This book presents the fundamentals of modern tensor calculus for students in engineering and applied physics, emphasizing those aspects that are crucial for applying tensor calculus safely in Euclidian space and for grasping the very essence of the smooth manifold concept. After introducing the subject, it provides a brief exposition on point set topology to familiarize readers with the subject, especially with those topics required in later chapters. It then describes the finite dimensional real vector space and its dual, focusing on the usefulness of the latter for encoding duality concepts in physics. Moreover, it introduces tensors as objects that encode linear mappings and discusses affine and Euclidean spaces. Tensor analysis is explored first in Euclidean space, starting from a generalization of the concept of differentiability and proceeding towards concepts such as directional derivative, covariant derivative and integration based on differential forms. The final chapter addresses the role of smooth manifolds in modeling spaces other than Euclidean space, particularly the concepts of smooth atlas and tangent space, which are crucial to understanding the topic. Two of the most important concepts, namely the tangent bundle and the Lie derivative, are subsequently worked out.
Classical Mechanics
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Author : Jan Awrejcewicz
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-07-26
Classical Mechanics written by Jan Awrejcewicz and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-07-26 with Science categories.
This is the first volume of three, devoted to Mechanics. This book contains classical mechanics problems including kinematics and statics. It is recommended as a supplementary textbook for undergraduate and graduate students from mechanical and civil engineering, as well as for physical scientists and engineers. It contains a basic introduction to classical mechanics, including fundamental principles, statics, and the geometry of masses, as well as thorough discussion on kinematics.
Fundamentals And Properties Of Multifunctional Nanomaterials
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Author : Sabu Thomas
language : en
Publisher: Elsevier
Release Date : 2021-08-25
Fundamentals And Properties Of Multifunctional Nanomaterials written by Sabu Thomas and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-08-25 with Technology & Engineering categories.
Fundamentals and Properties of Multifunctional Nanomaterials outlines the properties of highly intricate nanosystems, including liquid crystalline nanomaterials, magnetic nanosystems, ferroelectrics, nanomultiferroics, plasmonic nanosystems, carbon-based nanomaterials, 1D and 2D nanomaterials, and bio-nanomaterials. This book reveals the electromagnetic interference shielding properties of nanocomposites. The fundamental attributes of the nanosystems leading to the multifunctional applications in diverse areas are further explored throughout this book. This book is a valuable reference source for researchers in materials science and engineering, as well as in related disciplines, such as chemistry and physics. - Explains the concepts and fundamental applications of a variety of multifunctional nanomaterials; - Introduces fundamental principles in the fields of magnetism and multiferroics; - Addresses ferromagnetics, multiferroics, and carbon nanomaterials.
Fundamental Principles Of Molecular Modeling
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Author : Anton Amann
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29
Fundamental Principles Of Molecular Modeling written by Anton Amann and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-29 with Science categories.
Molecular similarity has always been an important conceptual tool of chemists, yet systematic approaches to molecular similarity problems have only recently been recognized as a major contributor to our understanding of molecular properties. Advanced approaches to molecular similarity analysis have their foundation in quantum similarity measures, and are important direct or indirect contributors to some of the predictive theoretical, computational, and also experimental methods of modern chemistry. This volume provides a survey of the foundations and the contemporary mathematical and computational methodologies of molecular similarity approaches, where special emphasis is given to applications of similarity studies to a range of practical and industrially significant fields, such as pharmaceutical drug design. The authors of individual chapters are leading experts in various sub-fields of molecular similarity analysis and the related fundamental theoretical chemistry topics, as well as the relevant computational and experimental methodologies. Whereas in each chapter the emphasis is placed on a different area, nevertheless, the overall coverage and the wide scope of the book provides the reader with a general yet sufficiently detailed description that may serve as a good starting point for new studies and applications of molecular similarity approaches. The editors of this volume are grateful to the authors for their contributions, and hope that the readers will find this book a useful and motivating source of information in the rapidly growing field of molecular similarity analysis.
Esoteric Principles And Quantum Alchemy
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Author : Kathlene Herberger
language : en
Publisher: Kathlene Herberger
Release Date : 2025-02-01
Esoteric Principles And Quantum Alchemy written by Kathlene Herberger and has been published by Kathlene Herberger this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-02-01 with Religion categories.
The universe, once perceived as a clockwork mechanism governed by predictable laws, has revealed itself to be a far more intricate and mysterious place. Quantum physics has shattered many of our classical assumptions, unveiling a reality governed by probabilities, superposition, and entanglement—concepts that defy our everyday intuition. Simultaneously, ancient esoteric traditions such as Hermeticism, Kabbalah, and alchemy offer profound insights into the nature of reality, consciousness, and transformation—perspectives that resonate surprisingly well with the findings of modern physics. Esoteric Principles and Quantum Alchemy embarks on a journey to explore the fascinating intersection of these two fields. Kathlene Herberger delves into the core tenets of quantum mechanics, exploring concepts like wave-particle duality, the observer effect, and non-locality, while examining the philosophical underpinnings and practical applications of esoteric traditions. Herberger examines the parallels between alchemical transformations and quantum phenomena, considering the potential influence of consciousness and intention on quantum processes. A key theme is the exploration of quantum consciousness, investigating theories that propose a fundamental role for consciousness in shaping the physical world. Throughout, Herberger maintains a balanced approach, combining scientific rigor with spiritual sensitivity, and presents scientific explanations alongside esoteric perspectives without imposing dogmatic interpretations. Designed for a diverse audience, Esoteric Principles and Quantum Alchemy is for science enthusiasts with spiritual inclinations, spiritual seekers with a scientific bent, students, researchers, and anyone interested in the nature of consciousness and the potential for personal transformation. Get ready for a captivating journey filled with wonder, mystery, and profound insights.