Category: Mathematical Physics

Bertrand Duplantier, Vincent Rivasseau's Henri Poincaré, 1912-2012: Poincaré Seminar 2012 PDF

By Bertrand Duplantier, Vincent Rivasseau

ISBN-10: 303480833X

ISBN-13: 9783034808330

This 13th quantity of the Poincaré Seminar sequence, Henri Poincaré, 1912-2012, is released at the get together of the centennial of the dying of Henri Poincaré in 1912. It offers a scholarly method of Poincaré’s genius and creativity in mathematical physics and arithmetic. Its 5 articles also are hugely pedagogical, as befits their starting place in lectures to a vast medical viewers. Highlights contain “Poincaré’s mild” via Olivier Darrigol, a number one historian of technology, who makes use of gentle as a guiding thread via a lot of Poincaré ’s physics and philosophy, from the appliance of his more advantageous mathematical talents and the idea of diffraction to his next reflections at the foundations of electromagnetism and the electrodynamics of relocating our bodies; the authoritative “Poincaré and the Three-Body challenge” by means of Alain Chenciner, who bargains an exquisitely special, hundred-page point of view, peppered with bright excerpts from citations, at the huge paintings of Poincaré in this topic, from the recognized (King Oscar’s) 1889 memoir to the rules of the trendy concept of chaos in “Les méthodes nouvelles de los angeles mécanique céleste.” A profoundly unique and scholarly presentation of the paintings through Poincaré on chance idea is given via Laurent Mazliak in “Poincaré’s Odds,” from the incidental first visual appeal of the observe “probability” in Poincaré’s recognized 1890 theorem of recurrence for dynamical structures, to his later reputation of the unavoidability of likelihood calculus in technology, as constructed to an exceptional quantity by way of Emile Borel, Poincaré’s major direct disciple; the thing through Francois Béguin, “Henri Poincaré and the Uniformization of Riemann Surfaces,” takes us on a desirable trip in the course of the six successive types in twenty-six years of the distinguished uniformization theorem, which exemplifies the Master’s unique signature within the foundational fusion of arithmetic and physics, on which conformal box idea, string conception and quantum gravity quite a bit count these days; the ultimate bankruptcy, “Harmony and Chaos, at the determine of Henri Poincaré” through the filmmaker Philippe Worms, describes the homonymous poetical movie within which eminent scientists, via mathematical scenes and actual experiments, demonstrate their emotional courting to the customarily elusive clinical fact and common “harmony and chaos” in Poincaré’s legacy.

This e-book could be of vast normal curiosity to physicists, mathematicians, philosophers of technology and historians.

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New PDF release: Theoretische Mechanik: Ein Grundkurs über klassische

By Norbert Straumann

ISBN-10: 3662436906

ISBN-13: 9783662436905

ISBN-10: 3662436914

ISBN-13: 9783662436912

Das vorliegende Werk ist eine Einführung in die grundlegenden Strukturen der klassischen Mechanik, die mit den Namen Newtons, Lagranges, Hamiltons und Jacobis u.a. verknüpft sind. Der Autor schafft eine moderne Darstellung, die gleichzeitig als eine Einführung in die mathematische Physik dienen kann. Das Buch ist somit eine wertvolle Bereicherung des Lehrbuchprogramms zur klassischen Mechanik. Die enthaltenen Übungsaufgaben erleichtern und vertiefen den Zugang.

Über den Inhalt:

Das Gebäude der klassischen Mechanik umfasst in exemplarischer Weise alle allgemeinen Prinzipien und Methoden theoretisch -physikalischer Naturbeschreibung. Grundlegende Begriffe, wie Observable, Zustände, Zeitevolution, Symmetrien und Erhaltungssätze, etc., treten in allen anderen Gebieten der theoretischen Physik, wenn auch in gewandelter shape, wieder auf. Ohne tiefere Einblicke in die klassische Mechanik ist insbesondere ein wirkliches Verständnis der Quantenmechanik nicht möglich.

Der Grundstock des vorliegenden Buches basiert auf dem Buch ”Klassische Mechanik“, welches 1987 als Band 289 in den ”Lecture Notes in Physics“ des Springer-Verlags erschienen ist. Neben vielen Verbesserungen und Ergänzungen ist das ehemalige Werk nun aber um ein Drittel erweitert worden.

Das Buch setzt an mathematischen Hilfsmitteln meistens nur Kenntnisse der ersten drei Studiensemester voraus. Darüber hinaus benötigte Ergänzungen werden in mathematischen Anhängen im element entwickelt. Störungstheoretische Methoden und deren Anwendungen auf interessante himmelsmechanische Probleme werden ausführlich behandelt.

Der vorliegende Grundkurs kann als eine Brücke zwischen traditionellen Darstellungen und mathematisch modernen Werken angesehen werden.

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Download e-book for iPad: An Introduction to Econophysics: Correlations and Complexity by Rosario N. Mantegna

By Rosario N. Mantegna

ISBN-10: 0521620082

ISBN-13: 9780521620086

Statistical physics recommendations equivalent to stochastic dynamics, brief- and long-range correlations, self-similarity and scaling, let an realizing of the worldwide habit of monetary structures with no first having to determine a close microscopic description of the method. This pioneering textual content explores using those strategies within the description of economic structures, the dynamic new strong point of econophysics. The authors illustrate the scaling options utilized in chance idea, severe phenomena, and fully-developed turbulent fluids and follow them to monetary time sequence. additionally they current a brand new stochastic version that screens numerous of the statistical houses saw in empirical facts. Physicists will locate the appliance of statistical physics strategies to fiscal structures interesting. Economists and different monetary execs will enjoy the book's empirical research equipment and well-formulated theoretical instruments that may let them describe platforms composed of an incredible variety of interacting subsystems.

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Download PDF by Reiner M. Dreizler: Theoretical Mechanics: Theoretical Physics 1

By Reiner M. Dreizler

ISBN-10: 3642111378

ISBN-13: 9783642111372

ISBN-10: 3642111386

ISBN-13: 9783642111389

After an creation to uncomplicated ideas of mechanics extra complex subject matters construct the key a part of this ebook. Interspersed is a dialogue of chosen difficulties of movement. this is often by way of a concise remedy of the Lagrangian and the Hamiltonian formula of mechanics, in addition to a quick day trip on chaotic movement. The final bankruptcy bargains with purposes of the Lagrangian formula to precise structures (coupled oscillators, rotating coordinate platforms, inflexible bodies). the extent of this textbook is complex undergraduate. The authors mix instructing event of greater than forty years in all fields of Theoretical Physics and similar mathematical disciplines and thorough wisdom in developing complicated eLearning content material. The textual content is observed through an intensive choice of on-line fabric, during which the probabilities of the digital medium are absolutely exploited, e.g. within the type of applets, 2nd- and 3D-animations.

- a set of seventy four issues of distinctive step by step tips in the direction of the ideas.

- a set of reviews and extra mathematical info in help of the most text.

- a whole presentation of the entire mathematical instruments needed.

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Read e-book online Navier-Stokes Equations: Properties, Description and PDF

By R. Younsi

ISBN-10: 1613245904

ISBN-13: 9781613245903

The Navier-Stokes equations are one of many pillars of fluid mechanics. those equations are worthy simply because they describe the physics of many stuff of educational and monetary curiosity. This publication provides contributions at the software of Navier-Stokes in a few engineering functions and describes how the Navier-Stokes equations might be scaled.

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Mathematik-Vorkurs: Übungs- und Arbeitsbuch für - download pdf or read online

By Wolfgang Schäfer, Kurt Georgi, Gisela Trippler, Christa Otto

ISBN-10: 3322967506

ISBN-13: 9783322967503

ISBN-10: 3519102498

ISBN-13: 9783519102496

Dieses Buch beinhaltet alle wesentlichen Stoffgebiete der Mathematik, die k?nftige Studierende - vor allem der Natur- und Ingenieurwissenschaften - zu Beginn ihres Grundstudiums kennen sollten. Dabei handelt es sich um jene Stoffgebiete, die in den Mathematikpr?fungen f?r das Abitur und andere Formen der Hochschulreife im Mittelpunkt stehen (z.B. Differential- und Integralrechnung, Vektorrechnung). Der Aufbau des Buches ist so gew?hlt, dass die Elementarmathematik entsprechend ihrer fundamentalen Rolle geb?hrend ber?cksichtigt wird. Zahlreiche erprobte Beispiele und ?bungsaufgaben erm?glichen dem Leser die Aneignung solider Rechenfertigkeiten.

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Get Worked Problems in Applied Mathematics PDF

By Lebedev N

Unheard of number of 566 difficulties and solutions, very unlikely to discover in the other unmarried resource. complement, with fifty one extra difficulties, by way of Edward L. Reiss. Translated via Richard Silverman. 159 figures.566 difficulties and solutions very unlikely to discover in the other unmarried resource. subject matters comprise steady-state harmonic oscillations, the Fourier approach, and the eigenfunction strategy for fixing inhomogeneous difficulties. extra complicated difficulties take care of necessary transforms, curvilinear coordinates, and fundamental equations. targeted suggestions.

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Moshe Gitterman's Noisy Oscillator: The First Hundred Years, from Einstein PDF

By Moshe Gitterman

ISBN-10: 9812565124

ISBN-13: 9789812565129

This ebook includes accomplished descriptions of stochastic tactics defined by means of underdamped and overdamped oscillator equations with additive and multiplicative random forcing. The latter is linked to random frequency or random damping. The assurance comprises descriptions of varied new phenomena came across within the final hundred years because the rationalization of Brownian movement via Einstein, Smoluchovski and Langevin, resembling the shift of reliable issues, noise-enhanced balance, stochastic resonance, resonant activation, and stabilization of metastable states. as well as many functions in physics, chemistry, biology, medication, economics and sociology, those discoveries have clarified the deep courting among determinism and stochasticity, which seems to be complimentary instead of contradictory, with noise taking part in either optimistic and damaging roles.

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Download PDF by Peter Hertel: Arbeitsbuch Mathematik zur Physik

By Peter Hertel

ISBN-10: 3642177883

ISBN-13: 9783642177880

Das Arbeitsbuch zu den Lehrbüchern „Theoretische Physik“ und „Mathematikbuch zur Physik“ von Peter Hertel enthält 256 Aufgaben aus der Mathematik und ausführlich kommentierte Lösungen. Für Studenten bietet das Buch, das auch als Aufgabensammlung mit Lösungen unabhängig vom Lehrbuch genutzt werden kann, vielfältige und praxisnahe Anregungen. Es hilft, die wirklich benötigten Kenntnisse und Fertigkeiten mit mathematischem und numerischem Handwerkszeug zu entdecken, auszuprobieren und einzuüben – und zwar mit Spaß und Erfolgsgarantie. Der Weg von der Aufgabe zur Lösung ist zumeist in Schritte untergliedert. Dieses Buch ist geeignet für Studierende der Physik im Haupt- oder Nebenfach, die ihre Mathematikkenntnisse vertiefen wollen.

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