Mathematical Physics

By Karl-Heinz Fieseler

By Ellad B. Tadmor

Fabric houses emerge from phenomena on scales starting from Angstroms to millimeters, and just a multiscale therapy supplies an entire knowing. fabrics researchers needs to as a result comprehend primary recommendations and strategies from various fields, and those are offered in a finished and built-in type for the 1st time during this booklet. Incorporating continuum mechanics, quantum mechanics, statistical mechanics, atomistic simulations and multiscale concepts, the booklet explains some of the key theoretical principles in the back of multiscale modeling. Classical subject matters are combined with new strategies to illustrate the connections among assorted fields and spotlight present study traits. instance purposes drawn from smooth learn at the thermo-mechanical homes of crystalline solids are used as a unifying concentration during the textual content. including its spouse publication, Continuum Mechanics and Thermodynamics (Cambridge collage Press, 2011), this paintings offers the whole basics of fabrics modeling for graduate scholars and researchers in physics, fabrics technology, chemistry and engineering. additional information in this publication is obtainable on the following site maintained via the authors: http://www.modelingmaterials.org

By Gerd Baumann

Mathematica in Theoretical Physics illustrates how Mathematica can be used to resolve actual difficulties and take care of theoretical thoughts. A translation of the hugely profitable German language booklet released by way of Springer-Verlag in 1993, this identify contains over 100 new pages containing extra examples in classical mechanics. Non-trivial examples in electrodynamics, quantum mechanics, and normal relativity also are supplied. the writer additionally contains the derivation of scaling strategies in non-linear physics and has additional an advent to Mathematica particularly designed for physicists and engineers - increasing and strengthening the unique paintings. The diskette includes application code in Mathematica workstation structure.

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

By Masud Chaichian, Hugo Perez Rojas, Anca Tureanu

"Basic options in Physics: From the Cosmos to Quarks" is the end result of the authors' lengthy and sundry instructing adventure in several nations and for various audiences, and provides an available and eminently readable advent to the entire major principles of contemporary physics. The book’s clean process, utilizing a unique mix of old and conceptual viewpoints, makes it perfect complementary studying to extra regular textbooks. the 1st 5 chapters are dedicated to classical physics, from planetary movement to big relativity, continually conserving in brain its relevance to questions of latest curiosity. the following six chapters deal generally with more moderen advancements in physics, from quantum concept and basic relativity to grand unified theories, and the booklet concludes by means of discussing the position of physics in residing platforms. A simple grounding in arithmetic is needed of the reader, yet technicalities are kept away from so far as attainable; hence complicated calculations are passed over as long as the fundamental principles stay transparent. The e-book is addressed to undergraduate and graduate scholars in physics and also will be preferred via many pro physicists. it's going to likewise be of curiosity to scholars, researchers and lecturers of different ordinary sciences, in addition to to engineers, high-school academics and the curious normal reader, who will come to appreciate what physics is ready and the way it describes the various phenomena of Nature. not just will readers of this booklet research a lot approximately physics, they are going to additionally learn how to love it.

By Friedrich Sauvigny

This two-volume textbook offers complete assurance of partial differential equations, spanning elliptic, parabolic, and hyperbolic varieties in and a number of other variables.

In this primary quantity, particular emphasis is put on geometric and intricate variable equipment concerning necessary representations. the next themes are taken care of:

• integration and differentiation on manifolds

• foundations of useful analysis

• Brouwer's mapping degree

• generalized analytic features

• strength idea and round harmonics

• linear partial differential equations

This new moment version of this quantity has been completely revised and a brand new part at the boundary habit of Cauchy’s crucial has been added.

The moment quantity will current practical analytic tools and purposes to difficulties in differential geometry.

This textbook might be of specific use to graduate and postgraduate scholars attracted to this box and should be of curiosity to complex undergraduate scholars. it could even be used for self reliant study.

By Wilhelm H. Westphal (auth.)

By W M Honig

This paintings offers mathematical concepts: non-standard logics and non-standard metrics. The concepts are utilized to present difficulties in physics, equivalent to the hidden variable challenge and the neighborhood and nonlocal difficulties.

By Klaus Jänich

 Das Buch "Mathematik 1/Geschrieben f?r Physiker" zusammen mit dem im Fr?hjahr 2002 erschienen Band 2 verfolgt eine neuartige Strategie f?r die mathematische Ausbildung der Physikstudenten im ersten Studienjahr. Radikale "Rechtzeitigkeit" des Stoffes (Differentialgleichungen ab der zweiten Unterrichtswoche usw.) und physikbezogene neben rein mathematischen ?bungsaufgaben gehen Hand in Hand mit der Vermittlung des tieferen mathematischen Verst?ndnisses. Dieses ungew?hnliche Konzept erfordert viel erl?uternden textual content, wobei die aus anderen Lehrb?chern des Autors bekannte erkl?rende und ?berredende paintings zu schreiben voll zum Einsatz kommt. Viele Figuren veranschaulichen die Begriffe und Zusammenh?nge. Als vorlesungsbegleitendes Lehrbuch und auch zum Selbststudium bestens geeignet.

By Alberto Adrego Pinto, David A. Rand, Flávio Ferreira

The research of hyperbolic structures is a middle subject matter of contemporary dynamics. On surfaces the idea of the effective scale constitution of hyperbolic invariant units and their measures could be defined in a really whole and chic manner, and is the topic of this book. 

The current publication, written by means of famous specialists in tender dynamical structures and ergodic idea, offers a mostly self-contained, rigorous description of this idea. It covers crucial features of the topic and is predicated on numerous clinical works of the prime study staff during this box. This booklet fills a niche within the literature of dynamics and is very instructed for any PhD scholars attracted to this area.