Symmetry methods for differential equations: A beginner's by Peter E. Hydon

By Peter E. Hydon

A very good operating wisdom of symmetry equipment is particularly important for these operating with mathematical types. This publication is a simple creation to the topic for utilized mathematicians, physicists, and engineers. The casual presentation makes use of many labored examples to demonstrate the key symmetry tools. Written at a degree appropriate for postgraduates and complex undergraduates, the textual content will allow readers to grasp the most recommendations quick and simply. The e-book comprises a few equipment now not formerly released in a textual content, together with these equipment for acquiring discrete symmetries and integrating elements.

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Noise-induced phenomena in slow-fast dynamical systems: a by Nils Berglund

By Nils Berglund

Stochastic differential equations play an more and more vital function in modeling the dynamics of a big number of structures within the usual sciences, and in technological functions. This e-book is aimed toward complex undergraduate and graduate scholars, and researchers in arithmetic, physics, the ordinary sciences, and engineering. It offers a brand new positive method of the quantitative description of recommendations to structures of stochastic differential equations evolving on well-separated timescales. the tactic, which mixes thoughts from stochastic research and singular perturbation conception, permits the domain names of focus for ordinary pattern paths to be decided, and offers special estimates at the transition percentages among those domains.

In addition to the designated presentation of the set-up and mathematical effects, functions to difficulties in physics, biology, and climatology are mentioned. The emphasis lies on noise-induced phenomena similar to stochastic resonance, hysteresis, excitability, and the aid of bifurcation hold up.

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Directed Polymers in Random Environments: École d'Été de by Francis Comets

By Francis Comets

Analyzing the section transition from diffusive to localized habit in a version of directed polymers in a random atmosphere, this quantity areas specific emphasis at the localization phenomenon. the most questionis: What does the trail of a random stroll appear like if rewards and consequences are spatially randomly distributed?This version, which supplies a simplified model of stretched elastic chains pinned via random impurities, has attracted a lot examine job, however it (and its family) nonetheless holds many secrets and techniques, specially in excessive dimensions. It has non-gaussian scaling limits and it belongs to the so-called KPZ universality category whilst the gap is one-dimensional. Adopting a Gibbsian method, utilizing common and robust instruments from chance idea, the discrete version is studied in complete generality. featuring the state-of-the artwork from varied views, and written within the kind of a primary direction at the topic, this monograph is aimed toward researchers in chance or statistical physics, yet is additionally available to masters and Ph.D. students.

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Mathematical methods for physics and engineering by K. F. Riley, M. P. Hobson, S. J. Bence

By K. F. Riley, M. P. Hobson, S. J. Bence

The 3rd variation of this hugely acclaimed undergraduate textbook is appropriate for instructing the entire arithmetic for an undergraduate path in any of the actual sciences. in addition to lucid descriptions of all of the subject matters and plenty of labored examples, it includes over 800 workouts. New stand-alone chapters supply a scientific account of the 'special features' of actual technological know-how, disguise a longer variety of sensible purposes of complicated variables, and provides an advent to quantum operators. extra tabulations, of relevance in records and numerical integration, were extra. during this variation, 1/2 the routines are supplied with tricks and solutions and, in a separate handbook to be had to either scholars and their lecturers, entire labored strategies. the rest workouts don't have any tricks, solutions or labored ideas and will be used for unaided homework; complete recommendations can be found to teachers on a password-protected website, www.cambridge.org/9780521679718.

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Springer-Taschenbuch der Mathematik: Begründet von I.N. by Eberhard Zeidler, Wolfgang Hackbusch, Juraj Hromkovic, Bernd

By Eberhard Zeidler, Wolfgang Hackbusch, Juraj Hromkovic, Bernd Luderer, Hans-Rudolf Schwarz, Jochen Blath, Alexander Schied, Stephan Dempe, Gert Wanka, Siegfried Gottwald

Das Taschenbuch der Mathematik erfüllt aktuell, umfassend und kompakt alle Erwartungen, die an ein mathematisches Nachschlagewerk gestellt werden. Es vermittelt ein lebendiges und modernes Bild der heutigen Mathematik. Als Taschenbuch begleitet es die Bachelor-Studierenden vom ersten Semester bis zur letzten Prüfung und der Praktiker nutzt es als ständiges und unentbehrliches Nachschlagewerk in seinem Berufsalltag. Das Taschenbuch bietet alles, used to be in Bachelor-Studiengängen im Haupt- und Nebenfach Mathematik benötigt wird. Der textual content für diese Ausgabe wurde stark überarbeitet. Zu spezielle Inhalte wurden herausgenommen und dafür Themen der Wirtschaftsmathematik und Algorithmik hinzugenommen. Das VHandbuch der Mathematik (eAusgabe) enthält darüberhinaus ergänzendes und weiterführendes fabric für das Masterstudium.

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Exotic Properties of Carbon Nanomatter: Advances in Physics by Mihai V. Putz, Ottorino Ori

By Mihai V. Putz, Ottorino Ori

This identify reviews the state of the art developments in modeling and characterization of basic and the lately designed carbon established nanocomposites (graphenes, fullerenes, polymers, crystals and allotropic forms).

Written via prime specialists within the box, the booklet explores the quantification, indexing, and interpretation of actual and chemical unique homes similar with space-time structure-evolution, part transitions, chemical reactivity, and topology.

Exotic houses of Carbon Nanomatter is aimed toward researchers in academia and industry.

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Models in statistical mechanics by Lieb E.

By Lieb E.

Throughout the process those lectures the subsequent themes should be taken care of: a) The monomer-dimer challenge. b) The Takahashi nearest-neighbor fuel. c) The one-dimensional Coulomb fuel. d) The move matrix process and the one-dimensional nearest and subsequent nearest neighbor Ising types. e) The dimer challenge at the sq. planar lattice: Ã The "algebraic" answer, 2° The operator resolution. f) The two-dimensional Ising version. g) The Ice challenge. h) The KDP version of a ferroelectric, i) The F version of an anti-ferroelectric.

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