In this book we describe the evolution of Classical Mechanics from Newton's laws via Lagrange's and Hamilton's theories with strong emphasis on integrability versus chaotic behavior.
This book starts from a set of common basic principles to establish the formalisms in all areas of fundamental physics, including quantum field theory, quantum mechanics, statistical mechanics, thermodynamics, general relativity, electromagnetic field, and classical mechanics.
Foundations of Voice and Speech Quality Perception starts out with the fundamental question of: "e;How do listeners perceive voice and speech quality and how can these processes be modeled?
This book presents a comprehensive yet accessible overview of the Green–Naghdi (GN) Theory of water waves and its applications in marine hydrodynamics and ocean engineering.
This book presents a comprehensive yet accessible overview of the Green–Naghdi (GN) Theory of water waves and its applications in marine hydrodynamics and ocean engineering.
This book is a collection of papers presented at the IX International Conference on Topical Problems of Continuum Mechanics, September 22–26, Tsaghkadzor, Armenia.
A graduate-level text that examines the semiclassical approach to quantum mechanicsPhysical systems have been traditionally described in terms of either classical or quantum mechanics.
Published here in the original German and French, along with an English translation, the correspondence between Albert Einstein and Elie Cartan includes letters written between 1929 and 1932, after which time Einstein abandoned his unified field theory based on absolute parallelism.
Kinematical problems of both classical and quantum mechanics are considered in these lecture notes ranging from differential calculus to the application of one of Chernoff's theorems.
Hugh Aitken describes a critical period in the history of radio, when continuous wave technology first made reliable long-distance wireless communication possible and opened up opportunities for broadcasting voice and music.
This book provides a concise, non-mathematical summary of key astronomical discoveries, organized chronologically from the founding of the International Astronomical Union in 1919 to the present day.
Building a sustainable energy system is one of the great challenges of our time, which has prompted both academia and industry to seek alternative energy and renewable energy solutions.
Building a sustainable energy system is one of the great challenges of our time, which has prompted both academia and industry to seek alternative energy and renewable energy solutions.
The present book - which is the third, significantly revised edition of the textbook originally published by Elsevier Science - emphasizes the interdependence of mathematical formulation and physical meaning in the description of seismic phenomena.
The present book - which is the third, significantly revised edition of the textbook originally published by Elsevier Science - emphasizes the interdependence of mathematical formulation and physical meaning in the description of seismic phenomena.
An Introduction to Lagrangian Mechanics begins with a proper historical perspective on the Lagrangian method by presenting Fermat's Principle of Least Time (as an introduction to the Calculus of Variations) as well as the principles of Maupertuis, Jacobi, and d'Alembert that preceded Hamilton's formulation of the Principle of Least Action, from which the Euler-Lagrange equations of motion are derived.
A classic introduction to non-linear mechanics from the acclaimed Annals of Mathematics Studies seriesPrinceton University Press is proud to have published the Annals of Mathematics Studies since 1940.
An in-depth exploration of how biomechanics and ecology work togetherPlants and animals interact with each other and their surroundings, and these interactions-with all their complexity and contingency-control where species can survive and reproduce.
Barry Simon's book both summarizes and introduces the remarkable progress in constructive quantum field theory that can be attributed directly to the exploitation of Euclidean methods.
Quantum mechanics was still in its infancy in 1932 when the young John von Neumann, who would go on to become one of the greatest mathematicians of the twentieth century, published Mathematical Foundations of Quantum Mechanics--a revolutionary book that for the first time provided a rigorous mathematical framework for the new science.
This book provides a concise, non-mathematical summary of key astronomical discoveries, organized chronologically from the founding of the International Astronomical Union in 1919 to the present day.
A short, graduate-level synthesis of recent developments in theoretical physics, from a pioneer in the fieldLectures on the Infrared Structure of Gravity and Gauge Theory presents an accessible, graduate-level synthesis of a frontier research area in theoretical physics.
Mechanical Design of Structural Materials in Animals explores the principles underlying how molecules interact to produce the functional attributes of biological materials: their strength and stiffness, ability to absorb and store energy, and ability to resist the fatigue that accrues through a lifetime of physical insults.
New mathematical research in arithmetic dynamicsIn The Arithmetic of Polynomial Dynamical Pairs, Charles Favre and Thomas Gauthier present new mathematical research in the field of arithmetic dynamics.
New adaptive and event-triggered control designs with concrete applications in undersea construction, offshore drilling, and cable elevatorsControl applications in undersea construction, cable elevators, and offshore drilling present major methodological challenges because they involve PDE systems (cables and drillstrings) of time-varying length, coupled with ODE systems (the attached loads or tools) that usually have unknown parameters and unmeasured states.
The first complete proof of Arnold diffusion-one of the most important problems in dynamical systems and mathematical physicsArnold diffusion, which concerns the appearance of chaos in classical mechanics, is one of the most important problems in the fields of dynamical systems and mathematical physics.
This textbook provides a modern introduction to linear algebra, a mathematical discipline every first year undergraduate student in physics and engineering must learn.