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Physical Problems Solved By The Phase Integral Method


Physical Problems Solved By The Phase Integral Method
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Physical Problems Solved By The Phase Integral Method


Physical Problems Solved By The Phase Integral Method
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Author : Nanny Fröman
language : en
Publisher: Cambridge University Press
Release Date : 2002-06-13

Physical Problems Solved By The Phase Integral Method written by Nanny Fröman and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-06-13 with Science categories.


This book provides a thorough introduction to one of the most efficient approximation methods for the analysis and solution of problems in theoretical physics and applied mathematics. It is written with practical needs in mind and contains a discussion of 50 problems with solutions, of varying degrees of difficulty. The problems are taken from quantum mechanics, but the method has important applications in any field of science involving second order ordinary differential equations. The power of the asymptotic solution of second order differential equations is demonstrated, and in each case the authors clearly indicate which concepts and results of the general theory are needed to solve a particular problem. This book will be ideal as a manual for users of the phase-integral method, as well as a valuable reference text for experienced research workers and graduate students.



An Introduction To Phase Integral Methods


An Introduction To Phase Integral Methods
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Author : John Heading
language : en
Publisher: Courier Corporation
Release Date : 2013-06-03

An Introduction To Phase Integral Methods written by John Heading and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-03 with Mathematics categories.


Introductory treatment steers a course between simplistic and rigorous approaches to provide a concise overview for advanced undergraduates and graduate students. Topics include Stokes phenomenon, one and two transition points, applications. 1962 edition.



Algorithmic Combinatorics Enumerative Combinatorics Special Functions And Computer Algebra


Algorithmic Combinatorics Enumerative Combinatorics Special Functions And Computer Algebra
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Author : Veronika Pillwein
language : en
Publisher: Springer Nature
Release Date : 2020-09-28

Algorithmic Combinatorics Enumerative Combinatorics Special Functions And Computer Algebra written by Veronika Pillwein and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-09-28 with Computers categories.


The book is centered around the research areas of combinatorics, special functions, and computer algebra. What these research fields share is that many of their outstanding results do not only have applications in Mathematics, but also other disciplines, such as computer science, physics, chemistry, etc. A particular charm of these areas is how they interact and influence one another. For instance, combinatorial or special functions' techniques have motivated the development of new symbolic algorithms. In particular, first proofs of challenging problems in combinatorics and special functions were derived by making essential use of computer algebra. This book addresses these interdisciplinary aspects. Algorithmic aspects are emphasized and the corresponding software packages for concrete problem solving are introduced. Readers will range from graduate students, researchers to practitioners who are interested in solving concrete problems within mathematics and other research disciplines.



Theory Of Toroidally Confined Plasmas The Fourth Edition


Theory Of Toroidally Confined Plasmas The Fourth Edition
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Author : Roscoe B White
language : en
Publisher: World Scientific
Release Date : 2025-02-20

Theory Of Toroidally Confined Plasmas The Fourth Edition written by Roscoe B White and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-02-20 with Science categories.


This updated edition delves into the intricate challenges of high-energy confinement in tokamaks and stellarators, exploring phenomena like mode avalanches, chirping, and particle resonances. Building on foundational principles, the book examines unexpected insights into magnetic and orbit helicity, particularly for fusion-produced alpha particles. Addressing the urgent need for CO2-free energy, it also highlights advancements in reactor design and the technical hurdles still facing commercially viable fusion power. Aimed at both students and researchers, this volume offers deep scientific insights, supported by contributions from leading global experts in the field.



Quantum Dynamics With Trajectories


Quantum Dynamics With Trajectories
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Author : Robert E. Wyatt
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-05-28

Quantum Dynamics With Trajectories written by Robert E. Wyatt and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-05-28 with Mathematics categories.


This is a rapidly developing field to which the author is a leading contributor New methods in quantum dynamics and computational techniques, with applications to interesting physical problems, are brought together in this book Useful to both students and researchers



Numerical Methods For Scientists And Engineers


Numerical Methods For Scientists And Engineers
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Author : H.M. Antia
language : en
Publisher: Springer Science & Business Media
Release Date : 2002-05-01

Numerical Methods For Scientists And Engineers written by H.M. Antia and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-05-01 with Mathematics categories.


This book presents an exhaustive and in-depth exposition of the various numerical methods used in scientific and engineering computations. It emphasises the practical aspects of numerical computation and discusses various techniques in sufficient detail to enable their implementation in solving a wide range of problems.



Advances In Atomic And Molecular Physics


Advances In Atomic And Molecular Physics
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Author :
language : en
Publisher: Academic Press
Release Date : 1977-01-13

Advances In Atomic And Molecular Physics written by and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977-01-13 with Science categories.


Advances in Atomic and Molecular Physics



Processes In Geomedia Volume Iv


Processes In Geomedia Volume Iv
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Author : Tatiana Chaplina
language : en
Publisher: Springer Nature
Release Date : 2021-11-15

Processes In Geomedia Volume Iv written by Tatiana Chaplina and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-11-15 with Science categories.


This book corresponds to the fourth volume of the series focused on Processes in GeoMedia and their research on the dynamic of natural systems - geosphere, hydrosphere, atmosphere, and their interactions-, the human contribution to naturally occurring processes are among the most urgent and essential scientific problems. The widespread introduction of computer technology has allowed calculating complex phenomena, previously unavailable for analysis. The creation and improvement of a new generation of geophysical instruments, remote observing systems based on the ship, aircraft, and satellite allow obtaining a large amount of data to reflect the broad picture of the processes objectively. The articles included in this book also reflect a critical position in laboratory modeling of research in geo-environments and testing.



Nonlinear Phenomena Research Perspectives


Nonlinear Phenomena Research Perspectives
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Author : Charles W. Wang
language : en
Publisher: Nova Publishers
Release Date : 2007

Nonlinear Phenomena Research Perspectives written by Charles W. Wang and has been published by Nova Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Mathematics categories.


Non-linear, or chaotic behaviour in real world systems has been reported in electronic circuits and communications systems, chemical reactions, biological behaviour. Applications include solitons, integrable systems, cellular automata, pattern formation, qualitative structure and bifurcation theory, onset of chaos and turbulence, analytic dynamics, and transport phenomena. This book presents important new research in this dynamic field.



Advanced Complex Analysis


Advanced Complex Analysis
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Author : Barry Simon
language : en
Publisher: American Mathematical Soc.
Release Date : 2015-11-02

Advanced Complex Analysis written by Barry Simon and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-11-02 with Mathematics categories.


A Comprehensive Course in Analysis by Poincaré Prize winner Barry Simon is a five-volume set that can serve as a graduate-level analysis textbook with a lot of additional bonus information, including hundreds of problems and numerous notes that extend the text and provide important historical background. Depth and breadth of exposition make this set a valuable reference source for almost all areas of classical analysis. Part 2B provides a comprehensive look at a number of subjects of complex analysis not included in Part 2A. Presented in this volume are the theory of conformal metrics (including the Poincaré metric, the Ahlfors-Robinson proof of Picard's theorem, and Bell's proof of the Painlevé smoothness theorem), topics in analytic number theory (including Jacobi's two- and four-square theorems, the Dirichlet prime progression theorem, the prime number theorem, and the Hardy-Littlewood asymptotics for the number of partitions), the theory of Fuschian differential equations, asymptotic methods (including Euler's method, stationary phase, the saddle-point method, and the WKB method), univalent functions (including an introduction to SLE), and Nevanlinna theory. The chapters on Fuschian differential equations and on asymptotic methods can be viewed as a minicourse on the theory of special functions.