Download E-books Solving Frontier Problems of Physics: The Decomposition Method (Fundamental Theories of Physics) PDF

By G. Adomian

The Adomian decomposition process permits the exact and effective analytic answer of nonlinear traditional or partial differential equations with no the necessity to hotel to linearization or perturbation techniques. It unifies the remedy of linear and nonlinear, traditional or partial differential equations, or structures of such equations, right into a unmarried simple process, that is acceptable to either preliminary and boundary-value difficulties.
This quantity bargains with the appliance of this technique to many difficulties of physics, together with a few frontier difficulties that have formerly required even more computationally-intensive methods.
the outlet chapters take care of a number of primary elements of the decomposition process. next chapters care for the appliance of the tactic to nonlinear oscillatory platforms in physics, the Duffing equation, boundary-value issues of closed abnormal contours or surfaces, and different frontier parts. the capability software of this system to quite a lot of difficulties in different disciplines comparable to biology, hydrology, semiconductor physics, wave propagation, etc., is highlighted.
For researchers and graduate scholars of physics, utilized arithmetic and engineering, whose paintings includes mathematical modelling and the quantitative resolution of platforms of equations.

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Download E-books Functional Integrals and Collective Excitations (Cambridge Monographs on Mathematical Physics) PDF

Written via a distinctive physicist and best researcher, this quantity describes the speculation and chosen functions of 1 of an important mathematical instruments utilized in the theoreticial research of collective excitations in statistical physics. The textual content deals an advent to practical vital innovations in equilibrium statistical physics, and discusses the expression of partition services and eco-friendly capabilities by way of practical integrals. Sections of the booklet care for the applying of practical integrals in superfluid Bose platforms, platforms with Coulomb interplay, and superfluid Fermi structures. The publication additionally considers the applying of the concept that of Bose-condensation of auxiliary fields to the idea of crystals, heavy atoms and likewise to the speculation of version Hamiltonians.

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Download E-books Global Bifurcation of Periodic Solutions with Symmetry (Lecture Notes in Mathematics) PDF

This principally self-contained study monograph addresses the subsequent form of questions. think one encounters a continuing time dynamical approach with a few integrated symmetry. may still one anticipate periodic motions which by some means mirror this symmetry? and the way could periodicity harmonize with symmetry? Probing into those questions leads from dynamics to topology, algebra, singularity conception, and to many purposes. inside an international method, the emphasis is on periodic motions faraway from equilibrium. Mathematical equipment contain bifurcation concept, transversality concept, and time-honored approximations. a brand new homotopy invariant is designed to check the worldwide interdependence of symmetric periodic motions. along with mathematical thoughts, the ebook comprises five principally nontechnical chapters. the 1st 3 define the most questions, effects and strategies. a close dialogue pursues theoretical effects and open difficulties. effects are illustrated by means of a number of purposes together with coupled oscillators and rotating waves: those hyperlinks to such disciplines as theoretical biology, chemistry, fluid dynamics, physics and their engineering opposite numbers make the e-book at once available to a much broader viewers.

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Download E-books Experiment and Theory in Physics PDF

Max Born (1882 1970) used to be a physicist and mathematician who gained the 1954 Nobel Prize in Physics for his study within the zone of quantum mechanics. initially released in 1943, this publication provides a marginally accelerated model of an deal with Born gave to the Durham Philosophical Society and the natural technology Society, King's collage, at Newcastle-upon-Tyne on twenty first might 1943. The textual content offers an exam of the mutual courting among thought and test within the improvement of physics. This ebook may be of price to somebody with an curiosity within the works of Born, physics and the heritage of science."

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Download E-books Mathematik 1: Geschrieben für Physiker (Springer-Lehrbuch) (German Edition) PDF

By Klaus Jänich

Das Buch "Mathematik 1/Geschrieben für Physiker" zusammen mit dem im Frühjahr 2002 erschienenen Band 2 verfolgt eine neuartige Strategie für die mathematische Ausbildung der Physikstudenten im ersten Studienjahr. Radikale "Rechtzeitigkeit" des Stoffes (Differentialgleichungen ab der zweiten Unterrichtswoche usw.) und physikbezogene neben rein mathematischen Übungsaufgaben gehen Hand in Hand mit der Vermittlung des tieferen mathematischen Verständnisses. Dieses ungewöhnliche Konzept erfordert viel erläuternden textual content, wobei die aus anderen Lehrbüchern des Autors bekannte erklärende und überzeugende artwork zu schreiben voll zum Einsatz kommt. Viele Abbildungen veranschaulichen die Begriffe und Zusammenhänge. Als vorlesungsbegleitendes Lehrbuch und auch zum Selbststudium bestens geeignet.

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Download E-books Geometric Analysis and PDEs: Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, June 11-16, 2007 (Lecture Notes in Mathematics) PDF

By Matthew J. Gursky

This quantity includes lecture notes on key subject matters in geometric research, a becoming mathematical topic which makes use of analytical options, normally of partial differential equations, to regard difficulties in differential geometry and mathematical physics.

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Download E-books Percolation PDF

Percolation thought used to be initiated a few fifty years in the past as a mathematical framework for the research of random actual techniques similar to stream via a disordered porous medium. It has proved to be a remarkably wealthy conception, with purposes past average phenomena to themes reminiscent of community modelling. The goals of this booklet, first released in 2006, are twofold. First to offer classical ends up in a manner that's available to non-specialists. moment, to explain result of Smirnov in conformal invariance, and description the facts that the severe likelihood for random Voronoi percolation within the airplane is 0.5. all through, the presentation is streamlined, with stylish and simple proofs requiring minimum historical past in likelihood and graph thought. a number of examples illustrate the $64000 options and improve the arguments. All-in-all, it is going to be a necessary buy for mathematicians, physicists, electric engineers and computing device scientists operating during this intriguing quarter.

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Download E-books Quantum Mathematical Physics: A Bridge between Mathematics and Physics PDF

Quantum physics has been hugely winning for greater than ninety years. however, a rigorous development of interacting quantum box thought continues to be lacking. furthermore, it really is nonetheless doubtful how one can mix quantum physics and normal relativity in a unified actual idea. Attacking those difficult difficulties of latest physics calls for hugely complicated mathematical tools in addition to noticeably new actual concepts.
This publication provides various actual rules and mathematical ways during this path. It includes a conscientiously chosen cross-section of lectures which happened in autumn 2014 on the 6th convention ``Quantum Mathematical Physics - A Bridge among arithmetic and Physics'' in Regensburg, Germany. within the culture of the opposite lawsuits overlaying this sequence of meetings, a different function of this publication is the exposition of a large choice of techniques, with a view to facilitate a comparison.
The booklet is especially addressed to mathematicians and physicists who're attracted to basic questions of mathematical physics. It permits the reader to acquire a vast and updated evaluate of a desirable energetic examine area.

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Download E-books Chaotic Transport in Dynamical Systems (Interdisciplinary Applied Mathematics) (v. 2) PDF

By Stephen Wiggins

Presents a brand new and extra life like framework for describing the dynamics of non-linear structures. a few concerns bobbing up in utilized dynamical platforms from the perspective of difficulties of part area delivery are raised during this monograph. Illustrating part house delivery difficulties coming up in a number of purposes that may be modeled as time-periodic perturbations of planar Hamiltonian platforms, the booklet starts with the learn of delivery within the linked two-dimensional Poincaré Map. This serves as a place to begin for the additional motivation of the shipping concerns during the improvement of rules in a non-perturbative framework with generalizations to raised dimensions in addition to extra basic time dependence. A well timed and critical contribution to these fascinated by the functions of arithmetic.

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Download E-books Basic Theory of Fractional Differential Equations PDF

By Yong Zhou

This priceless ebook is dedicated to a swiftly constructing zone at the learn of the qualitative concept of fractional differential equations. it really is self-contained and unified in presentation, and gives readers the required historical past fabric required to head additional into the topic and discover the wealthy examine literature.

The instruments used contain many classical and smooth nonlinear research tools resembling fastened element thought, degree of noncompactness technique, topological measure approach, the Picard operators approach, serious aspect conception and semigroups thought. in line with examine paintings performed via the writer and different specialists in the past 4 years, the contents are very new and complete. it really is precious to researchers and graduate scholars for examine, seminars, and complex graduate classes, in natural and utilized arithmetic, physics, mechanics, engineering, biology, and comparable disciplines.

Readership: Graduate scholars and researchers within the fields of fractional differential equations, fractional calculus and comparable parts of research.

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