PI - Mathematical Physics 1

This open access book presents a comprehensive exploration of diffusion metamaterials that control energy and mass diffusion. Currently, if from the perspective of governing equations, diffusion met……続きを見る

This book is an introduction to probability, statistics, data analysis, and hypothesis testing in physics. It is designed to be taught at different levels, from basic to advanced, and to be enjoyed ……続きを見る

This monograph presents the existence and properties of both weak and strong solutions to the problems of the flow of a compressible fluid in a domain whose motion is prescribed. Chapters build upon……続きを見る

This book provides a modern pedagogical exposition of the mechanical approach to statistical mechanics initiated by Boltzmann with his early works (1866–1871). Despite the later contribution by Helm……続きを見る

Este e-book é uma produção do Programa de Pós-Graduação em Educação Para a Ciência - PPGEC - da Faculdade de Ciências da UNESP, campus de Bauru, e faz parte do Programa de Publicações Digitais da Pr……続きを見る

Group theory has long been an important computational tool for physicists, but, with the advent of the Standard Model, it has become a powerful conceptual tool as well. This book introduces physicis……続きを見る

This is an introductory graduate course on quantum mechanics, which is presented in its general form by stressing the operator approach. Representations of the algebra of the harmonic oscillator and……続きを見る

This book provides a systematic study of spectral and scattering theory for many-body Schrödinger operators at two-cluster thresholds. While the two-body problem (reduced after separation of the cen……続きを見る

This book is a sequel to the book by the same authors entitled Theory of Groups and Symmetries: Finite Groups, Lie Groups, and Lie Algebras.The presentation begins with the Dirac notation, which is ……続きを見る

This book, translated from Russian, is a comprehensive guide to mathematical methods in physics, offering theoretical insights and problem-solving techniques. Authored by experienced physicists, it ……続きを見る

Vortices comprising swirling motion of matter are observable in classical systems at all scales, ranging from atomic size to that of galaxies. In quantum mechanical systems, such vortices are robust……続きを見る

This Second Edition is a comprehensive update, integrating the latest research and theoretical advancements in the field of de Sitter (dS) group representations. Building on the success of the first……続きを見る

I numeri, i teoremi e le teorie di cui si parla in questo libro sono quelli della matematica pura, concetti speculativi di cui i matematici si occupano indipendentemente dalla possibilità che vi sia……続きを見る

Il titolo vorrebbe suggerire che “una pillola matematica al giorno leva il medico di torno”. La malattia da curare è l’analfabetismo matematico di cui soffre il mondo intero, in generale, e il nostr……続きを見る

This open access book describes the theory of transformation thermotics and its extended theories for the active control of macroscopic thermal phenomena of artificial systems, which is in sharp con……続きを見る

Mentre la cultura dell'Occidente inizia a risvegliarsi dalla lunga decadenza dell'Alto Medioevo e riscopre, attraverso la mediazione araba, la scienza e la filosofia greca, Leonardo Pisano, detto Fi……続きを見る

The importance of accuracy verification methods was understood at the very beginning of the development of numerical analysis. Recent decades have seen a rapid growth of results related to adaptive ……続きを見る

This book presents the various algebraic techniques for solving partial differential equations to yield exact solutions, techniques developed by the author in recent years and with emphasis on physi……続きを見る

Presenting and developing the theory of spin glasses as a prototype for complex systems, this book is a rigorous and up-to-date introduction to their properties. The book combines a mathematical des……続きを見る

The availability of large data sets has allowed researchers to uncover complex properties such as large-scale fluctuations and heterogeneities in many networks, leading to the breakdown of standard ……続きを見る

Brownian diffusion is the motion of one or more solute molecules in a sea of very many, much smaller solvent molecules. Its importance today owes mainly to cellular chemistry, since Brownian diffusi……続きを見る

Why learn set theory? This book provides the answer ー it is interesting, and also useful! Taking a new approach and looking from a fresh perspective, the discussion flows in a friendly and transpar……続きを見る

The book discusses a class of discrete time stochastic growth processes for which the growth rate is proportional to the exponential of a Gaussian Markov process. These growth processes appear natur……続きを見る

Archimede fu protagonista di scoperte fondamentali in campo matematico. A lui dobbiamo, fra le altre cose, il calcolo del valore del pi greco, quello dei centri di gravità delle figure piane, lo stu……続きを見る

The idea for this text emerged over several years as the authors participated in research projects related to analysis of data from NASA's RHESSI Small Explorer mission. The data produced over the o……続きを見る

This book presents a comprehensive overview of the modeling of complex fluids, including many common substances, such as toothpaste, hair gel, mayonnaise, liquid foam, cement and blood, which cannot……続きを見る

The book is based on the lectures given at the CIME school "Quantum many body systems" held in the summer of 2010. It provides a tutorial introduction to recent advances in the mathematics of intera……続きを見る

This book presents mathematical methods and tools which are useful for physicists and engineers: response functions, Kramers-Kronig relations, Green's functions, saddle point approximation. The deri……続きを見る

The Luttinger Model is the only model of many-fermion physics with legitimate claims to be both exactly and completely solvable. In several respects it plays the same role in many-body theory as doe……続きを見る

This book is a collection of papers in memory of Gu Chaohao on the subjects of Differential Geometry, Partial Differential Equations and Mathematical Physics that Gu Chaohao made great contributions……続きを見る