Systems governed by non-linear differential equations are of fundamental importance in all branches of science, but our understanding of them is still extremely limited.
This book contains a valuable discussion of renormalization through the addition of counterterms to the Lagrangian, giving the first complete proof of the cancellation of all divergences in an arbitrary interaction.
Graduate students in the natural sciences-including not only geophysics and space physics but also atmospheric and planetary physics, ocean sciences, and astronomy-need a broad-based mathematical toolbox to facilitate their research.
Some of the articles in this collection give up-to-date accounts of areas in mathematical physics to which Valentine Bargmann made pioneering contributions.
This book presents an overview of recent developments in the area of localization for quasi-periodic lattice Schrodinger operators and the theory of quasi-periodicity in Hamiltonian evolution equations.
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.
A definitive proof of global nonlinear stability of Minkowski space-time as a solution of the Einstein-Klein-Gordon equationsThis book provides a definitive proof of global nonlinear stability of Minkowski space-time as a solution of the Einstein-Klein-Gordon equations of general relativity.
An advanced treatment of surgery theory for graduate students and researchersSurgery theory, a subfield of geometric topology, is the study of the classifications of manifolds.
Ever since the Irish mathematician William Rowan Hamilton introduced quaternions in the nineteenth century--a feat he celebrated by carving the founding equations into a stone bridge--mathematicians and engineers have been fascinated by these mathematical objects.
Motivated by the theory of turbulence in fluids, the physicist and chemist Lars Onsager conjectured in 1949 that weak solutions to the incompressible Euler equations might fail to conserve energy if their spatial regularity was below 1/3-Holder.
This book offers a survey of recent developments in the analysis of shock reflection-diffraction, a detailed presentation of original mathematical proofs of von Neumann's conjectures for potential flow, and a collection of related results and new techniques in the analysis of partial differential equations (PDEs), as well as a set of fundamental open problems for further development.
This book provides a short, hands-on introduction to the science of complexity using simple computational models of natural complex systems-with models and exercises drawn from physics, chemistry, geology, and biology.
This book presents an authoritative and in-depth treatment of potential energy landscape theory, a powerful analytical approach to describing the atomic and molecular interactions in condensed-matter phenomena.
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 book is a Weekend Pocketbook on Everything You Should Know About the Inevitable Milky Way's Collision with Andromeda, the story of how galaxies crash, merge, ignite, and transform across cosmic time.
The Last Sorcerer and the First Scientist Isaac Newton's Search for the Universe's Hidden CodeIn July 1936, the auction house of Sotheby's offered for sale three hundred and twenty-nine lots of manuscripts that had spent two centuries locked away in an English country house.
"e;Die unsichtbare Welt"e; nimmt Kinder, Jugendliche und Anfangerinnen und Anfanger mit auf eine spannende Reise in die Welt der Physik und Quantenphysik.
"e;Myth Wrapped in Math"e; – Decoding Scientific Illusions Through UED is a bold intellectual challenge to the very foundations of how we understand the universe.
In ›Die Erfindung der Prä-Astronautik‹ nimmt der Autor den Leser mit auf eine fesselnde Reise durch die faszinierende Geschichte und Entwicklung einer der kontroversesten Ideen des 20.
Introducción a la energía de grafos presenta los temas que son el origen de la teoría de las energías de grafos, esto es, la energía ordinaria y la energía laplaciana de grafos, con un alcance posible de cubrir en un semestre académico.
Nonlinear Differential Equations and Nonlinear Mechanics provides information pertinent to nonlinear differential equations, nonlinear mechanics, control theory, and other related topics.
The scientific study of complex systems has transformed a wide range of disciplines in recent years, enabling researchers in both the natural and social sciences to model and predict phenomena as diverse as earthquakes, global warming, demographic patterns, financial crises, and the failure of materials.
