Category: Mathematical Physics

By V. S. Vladimirov

Vladimirov V.S. Equations of mathematical physics (M.Dekker, 1971)(ISBN 0824717139)(1s)_MCde_

By James Nearing

By K. O. Friedrichs

The most thread operating via this slightly unorthodox method of the designated concept of relativity is the Pythagorean theorem. it sounds as if in its most simple geometric shape within the very starting of this monograph. Then it reappears in algebraic apparel, is extra changed and at last reinterpreted to play the position of 1 of the most characters within the unique conception of relativity.

The first 4 chapters are simply obtainable to highschool sophmores or juniors. the rest a part of the publication could be a little tricky for college kids who by no means studied physics, even if the writer really employs purely the proposal of influence and presupposes no heritage in physics. using the vector geometry brought prior, he leads the reader from the effect dialog legislation to the well-known formulation e=mc2.

By Paul & Tatiana Ehrenfest

During this concise vintage, Paul Ehrenfest ― one of many 20th century's maximum physicists ― reformulated the principles of the statistical strategy in mechanics. initially released in 1912, this vintage has misplaced little of its clinical and didactic worth, and is appropriate for complicated undergraduate and graduate scholars of physics and historians of science.
Part One describes the older formula of statistico-mechanical investigations (kineto-statistics of the molecule). half takes up the fashionable formula of kineto-statistics of the gasoline version, and half 3 explores W. B. Gibbs's significant paintings, Elementary ideas in Statistical Mechanics and its insurance of such subject matters because the challenge of axiomatization in kineto-statistics, the creation of canonical and microcanonical distributions, and the analogy to the observable habit of thermodynamic structures. The booklet concludes with the authors' unique notes, a sequence of necessary appendixes, and a beneficial bibliography.

By Gian-Carlo Rota (ed.)

By Eric Bertin

This course-tested primer offers graduate scholars and non-specialists with a uncomplicated knowing of the strategies and techniques of statistical physics and demonstrates their wide selection of purposes to interdisciplinary subject matters within the box of advanced procedure sciences, together with chosen points of theoretical modeling in biology and the social sciences.

Generally talking, the pursuits of statistical physics could be summarized as follows: at the one hand to check structures composed of a giant variety of interacting devices, and at the different to foretell the macroscopic, collective habit of the process thought of from the viewpoint of the microscopic legislation governing the dynamics of the person entities. those targets are primarily additionally shared through what's now known as 'complex platforms science,' and as such, structures studied within the framework of statistical physics should be thought of to be one of the easiest examples of complicated structures – whereas additionally supplying a slightly good constructed mathematical treatment.

The moment variation has been considerably revised and elevated, that includes particularly 3 new chapters addressing non-conserved debris, evolutionary inhabitants dynamics, networks, homes of either person and matched uncomplicated dynamical platforms, and convergence theorems, in addition to brief appendices that supply invaluable tricks on how one can practice uncomplicated stochastic simulations in practice.

Yet, the unique spirit of the e-book – to stay obtainable to a wide, non-specialized readership – has been stored all through: the layout is a collection of concise, modular and self-contained topical chapters, fending off technicalities and jargon up to attainable, and complemented by way of a wealth of worked-out examples, so one can make this paintings invaluable as a self-study textual content or as textbook for brief courses.

From the studies of the 1st edition:

“… an exceptional creation to easy suggestions of statistical physics and complicated structures for college kids and researchers with an curiosity in advanced platforms in different fields … .” Georg Hebermehl, Zentralblatt MATH, Vol. 1237, 2012

“… this brief textual content continues to be very clean for the mathematician.” Dimitri Petritis, Mathematical stories, factor 2012k

By J.P. Jesudason, C.H. Lai, Louis H. Y. Chen, J. Packer Jesudason, C. H. Lai, C. H. Oh, K. K. Phua, Eng-Chye Tan

The overseas convention on primary Sciences: arithmetic and Theoretical Physics supplied a discussion board for reviewing a number of the major advancements in arithmetic and theoretical physics within the twentieth century; for the top theorists in those fields to expound and talk about their perspectives on new principles and traits within the easy sciences because the new millennium approached; for expanding public information of the significance of easy learn in arithmetic and theoretical physics; and for selling a excessive point of curiosity in arithmetic and theoretical physics between college scholars and academics. This used to be a big convention, with invited lectures via many of the major specialists in numerous fields of arithmetic and theoretical physics.

By Anders Malthe-Sørenssen

This booklet – particularly built as a singular textbook on undemanding classical mechanics – indicates how analytical and numerical tools may be seamlessly built-in to resolve physics difficulties. This strategy permits scholars to resolve extra complex and utilized difficulties at an previous degree and equips them to accommodate real-world examples way past the common designated circumstances taken care of in usual textbooks.

Another benefit of this strategy is that scholars are introduced towards the way in which physics is absolutely came upon and utilized, as they're brought correct from the beginning to a extra exploratory method of realizing phenomena and of constructing their actual concepts.

While no longer a demand, it really is valuable for the reader to have a few previous wisdom of medical programming with a scripting-type language. This variation of the publication makes use of Matlab, and a bankruptcy dedicated to the fundamentals of medical programming with Matlab is integrated. A parallel version utilizing Python rather than Matlab can be available.

Last yet now not least, every one bankruptcy is followed by way of an intensive set of course-tested routines and solutions.

By A.P. Balachandran, G. Marmo, B.-S. Skagerstam, A. Stern

A concept outlined through an motion that's invariant lower than a time established staff of modifications will be referred to as a gauge idea. renowned examples of such theories are these outlined by means of the Maxwell and Yang-Mills Lagrangians. it really is largely believed these days that the elemental legislation of physics must be formulated by way of gauge theories.

By Francesco Calogero

"This e-book specializes in precisely treatable classical (i.e. non-quantal non-relativistic) many-body difficulties, as defined through Newton's equation of movement for jointly interacting aspect debris. many of the fabric relies at the author's study and is released right here for the 1st time in booklet shape. one of many major novelties is the remedy of difficulties in - and three-d area. Many comparable techniques are offered, e.g. the idea of generalized Lagrangian-type interpolation in higher-dimensional areas. This e-book is written for college kids in addition to for researchers; it really works out distinctive examples earlier than happening to regard extra basic circumstances. Many effects are provided through routines, with transparent tricks pointing to their solutions."--Jacket. Read more...