Some Modern Mathematics For Physicists And Other Outsiders
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Some Modern Mathematics For Physicists And Other Outsiders
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Author : Paul Roman
language : en
Publisher: Elsevier
Release Date : 2014-05-09
Some Modern Mathematics For Physicists And Other Outsiders written by Paul Roman and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-09 with Mathematics categories.
Some Modern Mathematics for Physicists and Other Outsiders: An Introduction to Algebra, Topology, and Functional Analysis, Volume 1 focuses on the operations, principles, methodologies, and approaches employed in algebra, topology, and functional analysis. The publication first offers information on sets, maps, and algebraic composition laws and systems. Discussions focus on morphisms of algebraic systems, sequences and families, cardinal numbers, ordered sets and maps, equivalence relations and maps, composite functions and inverses, operations with sets, and relations in sets. The text then ponders on special algebraic systems, topological spaces, and topological spaces with special properties. Topics include complete metric spaces, compact spaces, separable and connected spaces, homeomorphism and isometry, convergence, continuity, general structure of topological spaces, rings and fields, linear spaces, linear algebras, and nonassociative algebras. The book elaborates on the theory of integration and measure spaces, including measurable spaces, general properties of the integral, and measureable functions. The publication is a valuable reference for theoretical physicists, research engineers, and scientists who are concerned with structural problems.
Some Modern Mathematics For Physicists And Other Outsiders
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Author : Paul Roman
language : en
Publisher:
Release Date : 1975
Some Modern Mathematics For Physicists And Other Outsiders written by Paul Roman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975 with Mathematics categories.
Algebra Topology And Measure Theory
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Author :
language : en
Publisher:
Release Date : 1975
Algebra Topology And Measure Theory written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975 with categories.
Some Modern Mathemathics For Physicists And Other Outsiders
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Author : Paul Roman
language : en
Publisher:
Release Date : 1975
Some Modern Mathemathics For Physicists And Other Outsiders written by Paul Roman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975 with categories.
Some Modern Mathematics For Physicisits And Other Outsiders Vol 1
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Author : Paul Roman
language : en
Publisher:
Release Date : 1975
Some Modern Mathematics For Physicisits And Other Outsiders Vol 1 written by Paul Roman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975 with categories.
Functional Analysis With Applications
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Author :
language : en
Publisher:
Release Date : 1975
Functional Analysis With Applications written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975 with categories.
From Micro To Macro Quantum Systems
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Author : K. Kong Wan
language : en
Publisher: World Scientific
Release Date : 2006
From Micro To Macro Quantum Systems written by K. Kong Wan and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Science categories.
Traditional quantum theory has a very rigid structure, making it difficult to accommodate new properties emerging from novel systems. This book presents a flexible and unified theory for physical systems, from micro and macro quantum to classical. This is achieved by incorporating superselection rules and maximal symmetric operators into the theory. The resulting theory is applicable to classical, microscopic quantum and non-orthodox mixed quantum systems of which macroscopic quantum systems are examples. A unified formalism also greatly facilitates the discussion of interactions between these systems. A scheme of quantization by parts is introduced, based on the mathematics of selfadjoint and maximal symmetric extensions of symmetric operators, to describe point interactions. The results are applied to treat superconducting quantum circuits in various configurations.This book also discusses various topics of interest such as the asymptotic treatment of quantum state preparation and quantum measurement, local observables and local values, Schrdinger's cat states in superconducting systems, and a path space formulation of quantum mechanics.This self-contained book is complete with a review of relevant geometric and operator theories, for example, vector fields and operators, symmetric operators and their maximal symmetric extensions, direct integrals of Hilbert spaces and operators.
Mathematics For Physicists
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Author : Brian R. Martin
language : en
Publisher: John Wiley & Sons
Release Date : 2015-06-15
Mathematics For Physicists written by Brian R. Martin and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-06-15 with Science categories.
Mathematics for Physicists is a relatively short volume covering all the essential mathematics needed for a typical first degree in physics, from a starting point that is compatible with modern school mathematics syllabuses. Early chapters deliberately overlap with senior school mathematics, to a degree that will depend on the background of the individual reader, who may quickly skip over those topics with which he or she is already familiar. The rest of the book covers the mathematics that is usually compulsory for all students in their first two years of a typical university physics degree, plus a little more. There are worked examples throughout the text, and chapter-end problem sets. Mathematics for Physicists features: Interfaces with modern school mathematics syllabuses All topics usually taught in the first two years of a physics degree Worked examples throughout Problems in every chapter, with answers to selected questions at the end of the book and full solutions on a website This text will be an excellent resource for undergraduate students in physics and a quick reference guide for more advanced students, as well as being appropriate for students in other physical sciences, such as astronomy, chemistry and earth sciences.
The Structures Of Mathematical Physics
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Author : Steven P. Starkovich
language : en
Publisher: Springer Nature
Release Date : 2021
The Structures Of Mathematical Physics written by Steven P. Starkovich 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 with Electronic books categories.
This textbook serves as an introduction to groups, rings, fields, vector and tensor spaces, algebras, topological spaces, differentiable manifolds and Lie groups --- mathematical structures which are foundational to modern theoretical physics. It is aimed primarily at undergraduate students in physics and mathematics with no previous background in these topics. Applications to physics --- such as the metric tensor of special relativity, the symplectic structures associated with Hamilton's equations and the Generalized Stokes's Theorem --- appear at appropriate places in the text. Worked examples, end-of-chapter problems (many with hints and some with answers) and guides to further reading make this an excellent book for self-study. Upon completing this book the reader will be well prepared to delve more deeply into advanced texts and specialized monographs in theoretical physics or mathematics.
Quantum Mechanics
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Author : K. Kong Wan
language : en
Publisher: CRC Press
Release Date : 2019-07-09
Quantum Mechanics written by K. Kong Wan and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-07-09 with Science categories.
The mathematical formalism of quantum theory in terms of vectors and operators in infinite-dimensional complex vector spaces is very abstract. The definitions of many mathematical quantities used do not seem to have an intuitive meaning, which makes it difficult to appreciate the mathematical formalism and understand quantum mechanics. This book provides intuition and motivation to the mathematics of quantum theory, introducing the mathematics in its simplest and familiar form, for instance, with three-dimensional vectors and operators, which can be readily understood. Feeling confident about and comfortable with the mathematics used helps readers appreciate and understand the concepts and formalism of quantum mechanics. This book is divided into four parts. Part I is a brief review of the general properties of classical and quantum systems. A general discussion of probability theory is also included which aims to help in understanding the probability theories relevant to quantum mechanics. Part II is a detailed study of the mathematics for quantum mechanics. Part III presents quantum mechanics in a series of postulates. Six groups of postulates are presented to describe orthodox quantum systems. Each statement of a postulate is supplemented with a detailed discussion. To make them easier to understand, the postulates for discrete observables are presented before those for continuous observables. Part IV presents several illustrative applications, which include harmonic and isotropic oscillators, charged particle in external magnetic fields and the Aharonov–Bohm effect. For easy reference, definitions, theorems, examples, comments, properties and results are labelled with section numbers. Various symbols and notations are adopted to distinguish different quantities explicitly and to avoid misrepresentation. Self-contained both mathematically and physically, the book is accessible to a wide readership, including astrophysicists, mathematicians and philosophers of science who are interested in the foundations of quantum mechanics.