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Author: Michael B. Green
Publisher: Cambridge University Press
Published: 1988-07-29
Total Pages: 608
ISBN-13: 9780521357531
DOWNLOAD EBOOKA two-volume systematic exposition of superstring theory and its applications which presents many of the new mathematical tools that theoretical physicists are likely to need in coming years. This volume contains an introduction to superstrings
Author: Michael B. Green
Publisher: Cambridge University Press
Published: 2012-07-26
Total Pages: 609
ISBN-13: 1107029139
DOWNLOAD EBOOKThe twenty-fifth anniversary edition featuring a new Preface, invaluable for graduate students and researchers in high energy physics and astrophysics.
Author: Michael B. Green
Publisher: Cambridge University Press
Published: 2012-07-26
Total Pages: 481
ISBN-13: 1139537091
DOWNLOAD EBOOKTwenty-five years ago, Michael Green, John Schwarz, and Edward Witten wrote two volumes on string theory. Published during a period of rapid progress in this subject, these volumes were highly influential for a generation of students and researchers. Despite the immense progress that has been made in the field since then, the systematic exposition of the foundations of superstring theory presented in these volumes is just as relevant today as when first published. A self-contained introduction to superstrings, Volume 1 begins with an elementary treatment of the bosonic string, before describing the incorporation of additional degrees of freedom: fermionic degrees of freedom leading to supersymmetry and internal quantum numbers leading to gauge interactions. A detailed discussion of the evaluation of tree-approximation scattering amplitudes is also given. Featuring a new preface setting the work in context in light of recent advances, this book is invaluable for graduate students and researchers in general relativity and elementary particle theory.
Author: Michael B. Green
Publisher:
Published: 1987
Total Pages: 596
ISBN-13:
DOWNLOAD EBOOKAuthor: Joseph Polchinski
Publisher: Cambridge University Press
Published: 1998-10-13
Total Pages: 552
ISBN-13: 9780521633048
DOWNLOAD EBOOKVolume 2: Superstring Theory and Beyond, begins with an introduction to supersymmetric string theories and goes on to a broad presentation of the important advances of recent years. The book first introduces the type I, type II, and heterotic superstring theories and their interactions. It then goes on to present important recent discoveries about strongly coupled strings, beginning with a detailed treatment of D-branes and their dynamics, and covering string duality, M-theory, and black hole entropy, and discusses many classic results in conformal field theory. The final four chapters are concerned with four-dimensional string theories, and have two goals: to show how some of the simplest string models connect with previous ideas for unifying the Standard Model; and to collect many important and beautiful general results on world-sheet and spacetime symmetries.
Author: Valentin Blomer
Publisher: Springer Science & Business Media
Published: 2011-11-19
Total Pages: 301
ISBN-13: 1461412196
DOWNLOAD EBOOKThe text that comprises this volume is a collection of surveys and original works from experts in the fields of algebraic number theory, analytic number theory, harmonic analysis, and hyperbolic geometry. A portion of the collected contributions have been developed from lectures given at the "International Conference on the Occasion of the 60th Birthday of S. J. Patterson", held at the University Göttingen, July 27-29 2009. Many of the included chapters have been contributed by invited participants. This volume presents and investigates the most recent developments in various key topics in analytic number theory and several related areas of mathematics. The volume is intended for graduate students and researchers of number theory as well as applied mathematicians interested in this broad field.
Author: Hiroyuki Ohshima
Publisher: Elsevier
Published: 2006-09-05
Total Pages: 491
ISBN-13: 0080465145
DOWNLOAD EBOOKTheory of Colloid and Interfacial Electric Phenomena is written for scientists, engineers, and graduate students who want to study the fundamentals and current developments in colloid and interfacial electric phenomena, and their relation to stability of suspensions of colloidal particles and nanoparticles in the field of nanoscience and nanotechnology. The primary purpose of this book is to help understand how the knowledge on the structure of electrical double layers, double layer interactions, and electrophoresis of charged particles will be important to understand various interfacial electric phenomena and to improves the reader's skill and save time in the study of interfacial electric phenomena. Also providing theoretical background and interpretation of electrokinetic phenomena and many approximate analytic formulas describing various colloid and interfacial electric phenomena, which will be useful and helpful to understand these phenomena analyse experimental data. Showing the fundamentals and developments in the field First book to describe electrokinetics of soft particles Providing theoretical background and interpretation of electrokinetic phenomena
Author: Mariana Haragus
Publisher: Springer Science & Business Media
Published: 2010-11-23
Total Pages: 338
ISBN-13: 0857291122
DOWNLOAD EBOOKAn extension of different lectures given by the authors, Local Bifurcations, Center Manifolds, and Normal Forms in Infinite Dimensional Dynamical Systems provides the reader with a comprehensive overview of these topics. Starting with the simplest bifurcation problems arising for ordinary differential equations in one- and two-dimensions, this book describes several tools from the theory of infinite dimensional dynamical systems, allowing the reader to treat more complicated bifurcation problems, such as bifurcations arising in partial differential equations. Attention is restricted to the study of local bifurcations with a focus upon the center manifold reduction and the normal form theory; two methods that have been widely used during the last decades. Through use of step-by-step examples and exercises, a number of possible applications are illustrated, and allow the less familiar reader to use this reduction method by checking some clear assumptions. Written by recognised experts in the field of center manifold and normal form theory this book provides a much-needed graduate level text on bifurcation theory, center manifolds and normal form theory. It will appeal to graduate students and researchers working in dynamical system theory.
Author: Johannes Blümlein
Publisher: Springer Nature
Published: 2021-11-26
Total Pages: 551
ISBN-13: 3030802191
DOWNLOAD EBOOKThis volume comprises review papers presented at the Conference on Antidifferentiation and the Calculation of Feynman Amplitudes, held in Zeuthen, Germany, in October 2020, and a few additional invited reviews. The book aims at comprehensive surveys and new innovative results of the analytic integration methods of Feynman integrals in quantum field theory. These methods are closely related to the field of special functions and their function spaces, the theory of differential equations and summation theory. Almost all of these algorithms have a strong basis in computer algebra. The solution of the corresponding problems are connected to the analytic management of large data in the range of Giga- to Terabytes. The methods are widely applicable to quite a series of other branches of mathematics and theoretical physics.
Author:
Publisher: Elsevier
Published: 2007-04-03
Total Pages: 401
ISBN-13: 008048946X
DOWNLOAD EBOOKThe rotating shallow water (RSW) model is of wide use as a conceptual tool in geophysical fluid dynamics (GFD), because, in spite of its simplicity, it contains all essential ingredients of atmosphere and ocean dynamics at the synoptic scale, especially in its two- (or multi-) layer version. The book describes recent advances in understanding (in the framework of RSW and related models) of some fundamental GFD problems, such as existence of the slow manifold, dynamical splitting of fast (inertia-gravity waves) and slow (vortices, Rossby waves) motions, nonlinear geostrophic adjustment and wave emission, the role of essentially nonlinear wave phenomena. The specificity of the book is that analytical, numerical, and experimental approaches are presented together and complement each other. Special attention is paid on explaining the methodology, e.g. multiple time-scale asymptotic expansions, averaging and removal of resonances, in what concerns theory, high-resolution finite-volume schemes, in what concerns numerical simulations, and turntable experiments with stratified fluids, in what concerns laboratory simulations. A general introduction into GFD is given at the beginning to introduce the problematics for non-specialists. At the same time, recent new results on nonlinear geostrophic adjustment, nonlinear waves, and equatorial dynamics, including some exact results on the existence of the slow manifold, wave breaking, and nonlinear wave solutions are presented for the first time in a systematic manner.· Incorporates analytical, numerical and experimental approaches in the geophysical fluid dynamics context· Combination of essentials in GFD, of the description of analytical, numerical and experimental methods (tutorial part), and new results obtained by these methods (original part)· Provides the link between GFD and mechanics (averaging method, the method of normal forms); GFD and nonlinear physics (shocks, solitons, modons, anomalous transport, periodic nonlinear waves)
