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Author: Shijun Liao
Publisher: CRC Press
ISBN: 1135438293
Category : Mathematics
Languages : en
Pages : 335
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Book Description
Solving nonlinear problems is inherently difficult, and the stronger the nonlinearity, the more intractable solutions become. Analytic approximations often break down as nonlinearity becomes strong, and even perturbation approximations are valid only for problems with weak nonlinearity. This book introduces a powerful new analytic method for nonlinear problems-homotopy analysis-that remains valid even with strong nonlinearity. In Part I, the author starts with a very simple example, then presents the basic ideas, detailed procedures, and the advantages (and limitations) of homotopy analysis. Part II illustrates the application of homotopy analysis to many interesting nonlinear problems. These range from simple bifurcations of a nonlinear boundary-value problem to the Thomas-Fermi atom model, Volterra's population model, Von Karman swirling viscous flow, and nonlinear progressive waves in deep water. Although the homotopy analysis method has been verified in a number of prestigious journals, it has yet to be fully detailed in book form. Written by a pioneer in its development, Beyond Pertubation: Introduction to the Homotopy Analysis Method is your first opportunity to explore the details of this valuable new approach, add it to your analytic toolbox, and perhaps make contributions to some of the questions that remain open.
Author: Shijun Liao
Publisher: CRC Press
ISBN: 1135438293
Category : Mathematics
Languages : en
Pages : 335
Get Book Here
Book Description
Solving nonlinear problems is inherently difficult, and the stronger the nonlinearity, the more intractable solutions become. Analytic approximations often break down as nonlinearity becomes strong, and even perturbation approximations are valid only for problems with weak nonlinearity. This book introduces a powerful new analytic method for nonlinear problems-homotopy analysis-that remains valid even with strong nonlinearity. In Part I, the author starts with a very simple example, then presents the basic ideas, detailed procedures, and the advantages (and limitations) of homotopy analysis. Part II illustrates the application of homotopy analysis to many interesting nonlinear problems. These range from simple bifurcations of a nonlinear boundary-value problem to the Thomas-Fermi atom model, Volterra's population model, Von Karman swirling viscous flow, and nonlinear progressive waves in deep water. Although the homotopy analysis method has been verified in a number of prestigious journals, it has yet to be fully detailed in book form. Written by a pioneer in its development, Beyond Pertubation: Introduction to the Homotopy Analysis Method is your first opportunity to explore the details of this valuable new approach, add it to your analytic toolbox, and perhaps make contributions to some of the questions that remain open.
Author: H. G. Dosch
Publisher: CRC Press
ISBN: 1439865213
Category : Mathematics
Languages : en
Pages : 294
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Book Description
Beyond the world of atoms, at scales smaller than the smallest nuclei, a new world comes into view, populated by an array of colorful elementary particles: strange and charmed quarks, muons and neutrinos, gluons and photons, and many others, all interacting in beautifully intricate patterns. Beyond the Nanoworld tells the story of how this new real
Author: Emily Keshner
Publisher: Frontiers Media SA
ISBN: 2889632954
Category :
Languages : en
Pages : 215
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Book Description
Author: Kok Khoo Phua
Publisher: World Scientific
ISBN: 9814569410
Category :
Languages : en
Pages : 1583
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Book Description
This proceedings contains the talks delivered at the plenary and parallel sessions. Topics covered include e⁺e⁻ Physics at Z0, String Theory and Theory of Extended Objects, High Energy pp Physics, Non-Accelerator Particle Physics, Conformal Field Theory, e⁺e⁻ Physics below Z⁰, Structure Functions and Deep Inelastic Scattering, Neutrino Physics, Recent Developments in 2-Dimensional Gravity, Lattice Gauge Theory and Computer Simulations, CP Violation , Accelerator Physics, Cosmology and Particle Physics, Interface Between Particle and Condensed Matter Physics, Detector R&D, and Astroparticle Physics.
Author: Antonino Zichichi
Publisher: World Scientific
ISBN: 9814472328
Category : Science
Languages : en
Pages : 457
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Book Description
This volume is a collection of lectures given by distinguished physicists from around the world, covering the most recent advances in theoretical physics and the latest results from current experimental facilities.Following one of the principal aims of the School — to encourage and promote young physicists to achieve recognition at an international level — the students who distinguished themselves for the excellence of their research were given the opportunity to publish their presentations in this volume.
Author: Bertrand Duplantier
Publisher: Springer Nature
ISBN: 3030673928
Category : Science
Languages : en
Pages : 147
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Book Description
This volume provides a detailed description of some of the most active areas in astrophysics from the largest scales probed by the Planck satellite to massive black holes that lie at the heart of galaxies and up to the much awaited but stunning discovery of thousands of exoplanets. It contains the following chapters: • Jean-Philippe UZAN, The Big-Bang Theory: Construction, Evolution and Status • Jean-Loup PUGET, The Planck Mission and the Cosmic Microwave Background • Reinhard GENZEL, Massive Black Holes: Evidence, Demographics and Cosmic Evolution • Arnaud CASSAN, New Worlds Ahead: The Discovery of Exoplanets Reinhard Genzel and Andrea Ghez shared the 2020 Nobel Prize in Physics “for the discovery of a supermassive compact object at the centre of our galaxy’”, alongside Roger Penrose “for the discovery that black hole formation is a robust prediction of the general theory of relativity”. The book corresponds to the twentieth Poincaré Seminar, held on November 21, 2015, at Institut Henri Poincaré in Paris. Originally written as lectures to a broad scientific audience, these four chapters are of high value and will be of general interest to astrophysicists, physicists, mathematicians and historians.
Author: Antonino Zichichi
Publisher: Springer Science & Business Media
ISBN: 1468488694
Category : Medical
Languages : en
Pages : 434
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Book Description
During August 1988. a group of 67 physicists from 45 laboratories in 17 countries met in Erice for the 26th Course of the International School of Subnuclear Physics. The countries represented were: Australia. Austria. Canada. China. Czechoslovakia. Denmark. France. Federal Republic of Germany. India. Italy. Poland. Portugal. Spain. Sweden. Switzerland. United Kingdom. and the United States of America. The School was sponsored by the European Physical Society (EPS). the Italian Ministry of Public Education (MPI). the Sicilian Regional Government (ERS). and the Weizmann Institute of Science. The interest in the Superworld is still very high. This is why. for the third year. the Erice School has been devoted. to a great extent. to review the many developments in Superstring. Supermembranes with their problems of quantization and compactification. All these theoretical speculations are very far from the experimental frontier. In order to keep our feet on the ground. a series of lectures was included to cover the status of CP violation. of the Heavy Leptons. together with the projects for new physics at Gran Sasso and Fermi Lab. For completeness. Julian Schwinger reviewed the great problem of Anomalies in Quantum Field Theory and Shelly Glashow gave a closing lecture on the end of Superworld. If nothing new happens. next year there will be no Superworld in Erice.
Author: Martin Wechselberger
Publisher: Springer Nature
ISBN: 3030363996
Category : Mathematics
Languages : en
Pages : 143
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Book Description
This volume provides a comprehensive review of multiple-scale dynamical systems. Mathematical models of such multiple-scale systems are considered singular perturbation problems, and this volume focuses on the geometric approach known as Geometric Singular Perturbation Theory (GSPT). It is the first of its kind that introduces the GSPT in a coordinate-independent manner. This is motivated by specific examples of biochemical reaction networks, electronic circuit and mechanic oscillator models and advection-reaction-diffusion models, all with an inherent non-uniform scale splitting, which identifies these examples as singular perturbation problems beyond the standard form. The contents cover a general framework for this GSPT beyond the standard form including canard theory, concrete applications, and instructive qualitative models. It contains many illustrations and key pointers to the existing literature. The target audience are senior undergraduates, graduate students and researchers interested in using the GSPT toolbox in nonlinear science, either from a theoretical or an application point of view. Martin Wechselberger is Professor at the School of Mathematics & Statistics, University of Sydney, Australia. He received the J.D. Crawford Prize in 2017 by the Society for Industrial and Applied Mathematics (SIAM) for achievements in the field of dynamical systems with multiple time-scales.
Author: Erhard Seiler
Publisher: World Scientific
ISBN: 9812833552
Category : Science
Languages : en
Pages : 216
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Book Description
This book contains a collection of essays written in honor of Wolfhart Zimmermann''s 80th birthday, most of them based on talks presented at a symposium in his honor.The book shows the unifying force of a subject (Quantum Field Theory) and a person (Zimmermann). It ranges from fundamental questions in quantum physics over applications to particle physics and noncommutative geometry to the latest developments in many body theory and dynamical systems. These key ideas are elucidated by worldwide-recognized experts including Faddeev, Becchi, Buchholz, Lowenstein and Salmhofer.Readers seeking examples on how a subject has evolved, diversified and deepened over the course of several decades and how a single person can influence this process can find here a perfect illustration. Altogether, readers are treated to a high-brow intellectual adventure.
Author: Tao Han
Publisher: World Scientific
ISBN: 9814549215
Category :
Languages : en
Pages : 650
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Book Description
These proceedings contain over 100 talks on all aspects of Physics Beyond the Standard Model of the strong and electroweak interactions — ranging from Supersymmetry, Grand Unification, Technicolor, Exotic Particles, and CP Violation to Baryogenesis, Dark Matter, Strings and Black Holes — by leading authorities and the most active researchers in High Energy Physics. The goal of the conference is to provide a completely current summary of the most exciting and aesthetically appealing theoretical ideas, especially with regard to their predictions for yet undiscovered new particles, interactions and consequent phenomena. Particular emphasis is placed on current experimental limits and constraints on new physics, and on expectations and predictions regarding our ability to probe and discriminate between the many possibilities through experiments at present and future colliders in the decade(s) to come.
