Mathematical Methods For Physics
Mathematical Methods For Physics

Author: H. W. Wyld

Publisher: CRC Press

Published: 2018-03-14

Total Pages: 395

ISBN-13: 0429978642

DOWNLOAD EBOOK

This classic book helps students learn the basics in physics by bridging the gap between mathematics and the basic fundamental laws of physics. With supplemental material such as graphs and equations, Mathematical Methods for Physics creates a strong, solid anchor of learning. The text has three parts: Part I focuses on the use of special functions in solving the homogeneous partial differential equations of physics, and emphasizes applications to topics such as electrostatics, wave guides, and resonant cavities, vibrations of membranes, heat flow, potential flow in fluids, plane and spherical waves. Part II deals with the solution of inhomogeneous differential equations with particular emphasis on problems in electromagnetism, Green's functions for Poisson's equation, the wave equation and the diffusion equation, and the solution of integral equations by iteration, eigenfunction expansion and the Fredholm series. Finally, Part II explores complex variable techniques, including evalution of itegrals, dispersion relations, special functions in the complex plane, one-sided Fourier transforms, and Laplace transforms.

Essentials of Mathematical Methods in Science and Engineering
Essentials of Mathematical Methods in Science and Engineering

Author: Selcuk S. Bayin

Publisher: John Wiley & Sons

Published: 2019-12-04

Total Pages: 1038

ISBN-13: 1119580285

DOWNLOAD EBOOK

A comprehensive introduction to the multidisciplinary applications of mathematical methods, revised and updated The second edition of Essentials of Mathematical Methods in Science and Engineering offers an introduction to the key mathematical concepts of advanced calculus, differential equations, complex analysis, and introductory mathematical physics for students in engineering and physics research. The book’s approachable style is designed in a modular format with each chapter covering a subject thoroughly and thus can be read independently. This updated second edition includes two new and extensive chapters that cover practical linear algebra and applications of linear algebra as well as a computer file that includes Matlab codes. To enhance understanding of the material presented, the text contains a collection of exercises at the end of each chapter. The author offers a coherent treatment of the topics with a style that makes the essential mathematical skills easily accessible to a multidisciplinary audience. This important text: • Includes derivations with sufficient detail so that the reader can follow them without searching for results in other parts of the book • Puts the emphasis on the analytic techniques • Contains two new chapters that explore linear algebra and its applications • Includes Matlab codes that the readers can use to practice with the methods introduced in the book Written for students in science and engineering, this new edition of Essentials of Mathematical Methods in Science and Engineering maintains all the successful features of the first edition and includes new information.

Introduction to High Energy Physics
Introduction to High Energy Physics

Author: Donald H. Perkins

Publisher: Cambridge University Press

Published: 2000-04-13

Total Pages: 454

ISBN-13: 1139643371

DOWNLOAD EBOOK

This highly-regarded text provides a comprehensive introduction to modern particle physics. Extensively rewritten and updated, this 4th edition includes developments in elementary particle physics, as well as its connections with cosmology and astrophysics. As in previous editions, the balance between experiment and theory is continually emphasised. The stress is on the phenomenological approach and basic theoretical concepts rather than rigorous mathematical detail. Short descriptions are given of some of the key experiments in the field, and how they have influenced our thinking. Although most of the material is presented in the context of the Standard Model of quarks and leptons, the shortcomings of this model and new physics beyond its compass (such as supersymmetry, neutrino mass and oscillations, GUTs and superstrings) are also discussed. The text includes many problems and a detailed and annotated further reading list.

Symmetry and the Standard Model
Symmetry and the Standard Model

Author: Matthew Robinson

Publisher: Springer Science & Business Media

Published: 2011-08-17

Total Pages: 343

ISBN-13: 1441982671

DOWNLOAD EBOOK

While theoretical particle physics is an extraordinarily fascinating field, the incredibly fast pace at which it moves along, combined with the huge amount of background information necessary to perform cutting edge research, poses a formidable challenge for graduate students. This book represents the first in a series designed to assist students in the process of transitioning from coursework to research in particle physics. Rather than reading literally dozens of physics and mathematics texts, trying to assimilate the countless ideas, translate notations and perspectives, and see how it all fits together to get a holistic understanding, this series provides a detailed overview of the major mathematical and physical ideas in theoretical particle physics. Ultimately the ideas will be presented in a unified, consistent, holistic picture, where each topic is built firmly on what has come before, and all topics are related in a clear and intuitive way. This introductory text on quantum field theory and particle physics provides both a self-contained and complete introduction to not only the necessary physical ideas, but also a complete introduction to the necessary mathematical tools. Assuming minimal knowledge of undergraduate physics and mathematics, this book lays both the mathematical and physical groundwork with clear, intuitive explanations and plenty of examples. The book then continues with an exposition of the Standard Model of Particle Physics, the theory that currently seems to explain the universe apart from gravity. Furthermore, this book was written as a primer for the more advanced mathematical and physical ideas to come later in this series.

The Multifaceted Skyrmion
The Multifaceted Skyrmion

Author: Mannque Rho

Publisher: World Scientific

Published: 2016-09-29

Total Pages: 748

ISBN-13: 9814704423

DOWNLOAD EBOOK

' This book presents, in the form of reviews by world''s leading physicists in wide-ranging fields in theoretical physics, the influence and prescience of Skyrme''s daring idea of 1960, originally conceived for nuclear physics, that fermions can arise from bosons via topological solitons, pervasively playing a powerful role in wide-ranging areas of physics, from nuclear/astrophysics, to particle physics, to string theory and to condensed matter physics. The skyrmion description, both from gauge theory and from gauge/gravity duality, offers solutions to some long-standing and extremely difficult problems at high baryonic density, inaccessible by QCD proper. It also offers explanations and makes startling predictions for fascinating new phenomena in condensed matter systems. In both cases, what is at the core is the topology although the phenomena are drastically different, even involving different spacetime dimensions. This second edition has been expanded with addition of new reviews and extensively updated to take into account the latest developments in the field. Contents:Hadrons and Nuclear Matter:Skyrmions and Nuclei (R A Battye, N S Manton and P M Sutcliffe)States of Carbon-12 in the Skyrme Model (P H C Lau and N S Manton)Electromagnetic Form Factors of the Nucleon in Chiral Soliton Models (G Holzwarth)Exotic Baryon Resonances in the Skyrme Model (D Diakonov and V Petrov)Heavy-Quark Skyrmions (N N Scoccola)Pentaquark Candidates P+c(4380) and P+c(4450) within the Soliton Picture of Baryons (N N Scoccola, D O Riska and M Rho)Skyrmion Approach to Finite Density and Temperature (B-Y Park and V Vento)Fractionized Skyrmions in Dense Compact-Star Matter (M Harada, Y-L Ma, H K Lee and M Rho)The Skyrme Model in the BPS Limit (C Adam, C Naya, J Sánchez-Guillén, R Vazquez and A Wereszczyński)Superqualitons: Baryons in Dense QCD (D K Hong)Condensed Matter:Rotational Symmetry Breaking in Baby Skyrme Models (M Karliner and I Hen)Emergent Gauge Fields and Their Nonperturbative Effects in Correlated Electrons (K-S Kim and A Tanaka)Spin and Isospin: Exotic Order in Quantum Hall Ferromanets (S M Girvin)Noncommutative Skyrmions in Quantum Hall Systems (Z F Ezawa and G Tsitsishvili)Meron-Pair Excitations in Bilayer Quantum Hall System (K Moon)Spin and Pseudospin Textures in Quantum Hall Systems (H A Fertig and L Brey)Half-Skyrmion Theory for High-Temperature Superconductivity (T Morinari)Deconfined Quantum Critical Points (T Senthil, A Vishwanath, L Balents, S Sachdev and M P A Fisher)Skyrmions in a Density-Wave State: A Mechanism for Chiral Superconductivity (S Chakravarty and C-H Hsu)String Theory:Skyrmion and String Theory (S Sugimoto)Holographic Baryons (P Yi)The Cheshire Cat Principle from Holography (H B Nielsen and I Zahed)Baryon Physics in a Five-Dimensional Model of Hadrons (A Pomarol and A Wulzer)Holographic Skyrmions (P M Sutcliffe)Holographic Baryons and Instanton Crystal (V Kaplunovsky, D Melnikov and J Sonnenschein) Readership: Research scientists in the fields of condensed matter physics, nuclear and particle physics, and string theory. '