Category: Mathematical Physics

Michael M. Resch,Katharina Benkert,Xin Wang,Martin's High Performance Computing on Vector Systems 2010 PDF

By Michael M. Resch,Katharina Benkert,Xin Wang,Martin Galle,Wolfgang Bez,Hiroaki Kobayashi,Sabine Roller

This e-book offers the cutting-edge in excessive functionality computing and simulation on smooth supercomputer architectures. It covers tendencies in and software program improvement in most cases and particularly the way forward for vector-based structures and heterogeneous architectures. the applying contributions conceal computational fluid dynamics, fabric technology, scientific purposes and weather learn. leading edge fields like coupled multi-physics or multi-scale simulations are provided. All papers have been selected from displays given on the eleventh Teraflop Workshop held in October 2009 at Tohoku college, Japan, and the twelfth Teraflop Workshop held in March 2010 on the Höchstleistungsrechenzentrum Stuttgart (HLRS), Germany

Show description

Read more
 

Get Tensor Analysis and Elementary Differential Geometry for PDF

By Hung Nguyen-Schäfer,Jan-Philip Schmidt

Tensors and strategies of differential geometry are very worthy mathematical instruments in lots of fields of contemporary physics and computational engineering together with relativity physics, electrodynamics, computational fluid dynamics (CFD), continuum mechanics, aero and vibroacoustics and cybernetics.

This publication comprehensively offers subject matters, similar to bra-ket notation, tensor research and simple differential geometry of a relocating floor. additionally, authors deliberately abstain from giving mathematically rigorous definitions and derivations which are despite the fact that handled as accurately as attainable. The reader is supplied with hands-on calculations and worked-out examples at which he'll methods to deal with the bra-ket notation, tensors and differential geometry and to take advantage of them within the actual and engineering global. the objective viewers essentially contains graduate scholars in physics and engineering, examine scientists and practising engineers.

Show description

Read more
 

Mathematical Models for Eddy Currents and Magnetostatics: - download pdf or read online

By Rachid Touzani,Jacques Rappaz

This monograph addresses basic facets of mathematical modeling and numerical answer tools of electromagnetic difficulties regarding low frequencies, i.e. magnetostatic and eddy present difficulties that are hardly provided within the utilized arithmetic literature. within the first half, the authors introduce the mathematical types in a practical context in view in their use for commercial functions. numerous geometric configurations of electrical conductors resulting in assorted mathematical types are rigorously derived and analyzed, and numerical tools for the answer of the acquired difficulties are given. similar matters similar to convergence of the approximations and mistake estimates are mentioned. the second one a part of the monograph offers a variety of coupled difficulties that contain eddy present or magnetostatic difficulties, particularly magneto-hydrodynamic difficulties and magnetic shaping difficulties about the soften stream of electrically engaging in metals, induction heating methods, inductively coupled plasmas and ferromagnetic screening modeling. The presentation of every version comes with numerical representation from business applications.

Show description

Read more
 

Download e-book for iPad: An Introduction to Modeling Neuronal Dynamics (Texts in by Christoph Börgers

By Christoph Börgers

This e-book is meant as a textual content for a one-semester direction on Mathematical and Computational Neuroscience for upper-level undergraduate and beginning graduate students of arithmetic, the ordinary sciences, engineering, or laptop science. An undergraduate creation to differential equations is greater than enough mathematical history. just a slender, excessive school-level historical past in physics is believed, and none in biology.

Topics contain versions of person nerve cells and their dynamics, types of networks of neurons coupled by way of synapses and hole junctions, origins and features of inhabitants rhythms in neuronal networks, and types of synaptic plasticity.

An huge on-line number of Matlab courses producing the figures accompanies the publication.  

Show description

Read more
 

Download e-book for iPad: Die Maxwell´sche Theorie: Für Ingenieure und by Martin Poppe

By Martin Poppe

Martin Poppe stellt die Maxwell'schen Gleichungen vor und interpretiert sie vor dem Hintergrund wichtiger Ergebnisse der Grundlagenforschung. Seine zentralen Anliegen sind Verständlichkeit und Anwendbarkeit. Daher verzichtet der Autor auf die im neunzehnten Jahrhundert eingeführten und mittlerweile als redundant erkannten Hilfsgrößen. So wird die Theorie einfacher, übersichtlicher, leichter zu nutzen und von weit verbreiteten Missverständnissen befreit.

Show description

Read more
 

New PDF release: Introduction to Mathematical Physics: Methods & Concepts

By Chun Wa Wong

Mathematical physics offers actual theories with their logical foundation and the instruments for drawing conclusions from hypotheses. advent to Mathematical Physics explains to the reader why and the way arithmetic is required within the description of actual occasions in area. For undergraduates in physics, it's a classroom-tested textbook on vector research, linear operators, Fourier sequence and integrals, differential equations, exact features and capabilities of a complex
variable. Strongly correlated with center undergraduate classes on classical and quantum mechanics and electromagnetism, it is helping the coed grasp those worthy mathematical talents. It includes complicated issues of curiosity to graduate scholars on relativistic square-root areas and nonlinear
systems. It includes many tables of mathematical formulation and references to worthy fabrics on the net. It comprises brief tutorials on easy mathematical themes to assist readers refresh their mathematical wisdom. An appendix on Mathematica encourages the reader to exploit computer-aided algebra to resolve difficulties in mathematical physics. A unfastened Instructor's strategies guide is obtainable to teachers who order the ebook for path adoption.

Show description

Read more
 

Lineare Algebra 2: Anwendungen und Konzepte für Studierende - download pdf or read online

By Stefan Waldmann

In diesem Band des zweiteiligen Lehrbuchs zur Linearen Algebra werden zum einen verschiedene Anwendungen zu den Themen des ersten Bandes vertieft: es wird die Lösungstheorie linearer gewöhnlicher Differentialgleichungen mit konstanten Koeffizienten vorgestellt. Zum anderen werden die formalen Konzepte der linearen Algebra vertieft. Neben Quotientenkonstruktionen und der Theorie der symmetrischen und antisymmetrischen Bilinearformen wird vor allem die multilineare Algebra zusammen mit Tensorprodukten im element besprochen.
Wie schon im ersten Band ist der Zugang dieses Lehrbuchs eher klassisch: Die formalen Aspekte der wissenschaftlichen Mathematik werden stark betont. Noch stärker als im ersten Band wird jedoch gerade aus den Anwendungen in der mathematischen Physik wichtige Motivation für das Vorgehen gewonnen. Auf diese Weise ist das Lehrbuch sowohl für Studierende der Mathematik als auch der Physik geeignet. Insgesamt über a hundred umfangreiche Übungen erleichtern das Selbststudium.
Der Inhalt von Band 2:
  • Lineare Differentialgleichungen und die Exponentialabbildung
  • Quotienten
  • Multilineare Abbildungen und Tensorprodukte
  • Bilinearformen und Quadriken
Der Autor

Stefan Waldmann studierte Physik in Freiburg, wo er 1999 promovierte
und 2003 habilitierte. Nach Professuren für Differentialgeometrie in
Leuven und harmonische research in Erlangen ist er nun am Institut für
Mathematik der Universität Würzburg Inhaber des Lehrstuhls für Mathematische Physik.

Show description

Read more
 

New PDF release: Nervous System Actions and Interactions: Concepts in

By L. Donald Partridge,Lloyd D. Partridge

Nervous process activities and Interactions: techniques in Neurophysiology methods the apprehensive method from a useful, instead of structural, element of view.


While the entire primary themes of sensible neuroscience are coated, those themes are equipped from a neurophysiological point of view yielding chapters on topics resembling info garage and effector activities. every one bankruptcy is equipped round common recommendations that then are additional built within the textual content. The authors try and identify a discussion with the reader through proposed experiments and open ended questions which are designed to either toughen and query the textual content. This quantity is meant to be a publication of principles for the beginner or professional researcher in neuroscience.

Show description

Read more
 

Download PDF by Lorenzo Pareschi,Giuseppe Toscani: Interacting Multiagent Systems: Kinetic equations and Monte

By Lorenzo Pareschi,Giuseppe Toscani

the outline of rising collective phenomena and self-organization in structures composed of enormous numbers of people has received expanding curiosity from quite a few examine groups in biology, ecology, robotics and regulate concept, in addition to sociology and economics.

Applied arithmetic is worried with the development, research and interpretation of mathematical versions which may make clear major difficulties of the normal sciences in addition to our day-by-day lives. To this set of difficulties belongs the outline of the collective behaviours of complicated platforms composed through a wide adequate variety of participants. Examples of such structures are interacting brokers in a monetary industry, power citizens in the course of political elections, or teams of animals with a
tendency to flock or herd. between different attainable techniques, this ebook offers a step by step creation to the mathematical modelling in line with a mesoscopic description and the development of effective simulation algorithms via Monte Carlo methods.

The arguments of the booklet disguise a number of purposes, from the research of wealth distributions, the formation of critiques and offerings, the fee dynamics in a monetary industry, to the outline of mobile mutations and the swarming of birds and fishes. via tools encouraged by way of the kinetic conception of rarefied gases, a powerful method of mathematical modelling and numerical simulation of multi-agent platforms is gifted intimately. The content material is an invaluable reference textual content for applied
mathematicians, physicists, biologists and economists who are looking to find out about modelling and approximation of such not easy phenomena.

Show description

Read more
 

Download e-book for iPad: Quantum Field Theory and Condensed Matter: An Introduction by Ramamurti Shankar

By Ramamurti Shankar

delivering a extensive overview of many concepts and their software to condensed topic structures, this publication starts off with a evaluation of thermodynamics and statistical mechanics, earlier than relocating onto actual and imaginary time course integrals and the hyperlink among Euclidean quantum mechanics and statistical mechanics. a close learn of the Ising, gauge-Ising and XY versions is integrated. The renormalization team is developed and utilized to serious phenomena, Fermi liquid conception and the renormalization of box theories. subsequent, the ebook explores bosonization and its purposes to one-dimensional fermionic platforms and the correlation services of homogeneous and random-bond Ising types. It concludes with Bohm–Pines and Chern–Simons theories utilized to the quantum corridor effect.  Introducing the reader to various innovations, it opens up gigantic components of condensed topic concept for either graduate scholars and researchers in theoretical, statistical and condensed topic physics.

Show description

Read more