Delta Functions
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Delta Functions
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Author : R F Hoskins
language : en
Publisher: Elsevier
Release Date : 2009-03-31
Delta Functions written by R F Hoskins and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-03-31 with Mathematics categories.
Delta Functions has now been updated, restructured and modernised into a second edition, to answer specific difficulties typically found by students encountering delta functions for the first time. In particular, the treatment of the Laplace transform has been revised with this in mind. The chapter on Schwartz distributions has been considerably extended and the book is supplemented by a fuller review of Nonstandard Analysis and a survey of alternative infinitesimal treatments of generalised functions. Dealing with a difficult subject in a simple and straightforward way, the text is readily accessible to a broad audience of scientists, mathematicians and engineers. It can be used as a working manual in its own right, and serves as a preparation for the study of more advanced treatises. Little more than a standard background in calculus is assumed, and attention is focused on techniques, with a liberal selection of worked examples and exercises. - Second edition has been updated, restructured and modernised to answer specific difficulties typically found by students encountering delta functions for the first time - Attention is focused on techniques, with a liberal selection of worked examples and exercises - Readily accessible to a broad audience of scientists, mathematicians and engineers and can be used as a working manual in its own right
Generalized Functions Operator Theory And Dynamical Systems
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Author : Ioannis Antoniou
language : en
Publisher: CRC Press
Release Date : 2021-02-25
Generalized Functions Operator Theory And Dynamical Systems written by Ioannis Antoniou and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-02-25 with Mathematics categories.
Nobel prize winner Ilya Prigogine writes in his preface: "Irreversibility is a challenge to mathematics...[which] leads to generalized functions and to an extension of spectral analysis beyond the conventional Hilbert space theory." Meeting this challenge required new mathematical formulations-obstacles met and largely overcome thanks primarily to the contributors to this volume." This compilation of works grew out of material presented at the "Hyperfunctions, Operator Theory and Dynamical Systems" symposium at the International Solvay Institutes for Physics and Chemistry in 1997. The result is a coherently organized collective work that moves from general, widely applicable mathematical methods to ever more specialized physical applications. Presented in two sections, part one describes Generalized Functions and Operator Theory, part two addresses Operator Theory and Dynamical Systems. The interplay between mathematics and physics is now more necessary than ever-and more difficult than ever, given the increasing complexity of theories and methods.
Advanced Mathematical Methods In Science And Engineering
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Author : S.I. Hayek
language : en
Publisher: CRC Press
Release Date : 2000-10-13
Advanced Mathematical Methods In Science And Engineering written by S.I. Hayek and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-10-13 with Technology & Engineering categories.
Gathering an extensive range of mathematical topics into a plenary reference/text for solving science and engineering problems, Advanced Mathematical Models in Science and Engineering elucidates integral methods, field equation derivations, and operations applicable to modern science systems. Applying academic skills to practical problems in science and engineering, the author reviews basic methods of integration and series solutions for ordinary differential equations; introduces derivations and solution methods for linear boundary value problems in one dimension, covering eigenfunctions and eigenfunction expansions, orthogonality, and adjoint and self-adjoint systems; discusses complex variables, calculus, and integrals as well as application of residues and the integration of multivalued functions; considers linear partial differential equations in classical physics and engineering with derivations for the topics of wave equations, heat flow, vibration, and strength of materials; clarifies the calculus for integral transforms; explains Green's functions for ordinary and partial differential equations for unbounded and bounded media; examines asymptotic methods; presents methods for asymptotic solutions of ordinary differential equations; and more.
Theories Of Generalised Functions
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Author : R F Hoskins
language : en
Publisher: Elsevier
Release Date : 2005-01-01
Theories Of Generalised Functions written by R F Hoskins and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-01-01 with Mathematics categories.
Explaining and comparing the various standard types of generalised functions which have been developed during the 20th Century, this text also contains accounts of recent non-standard theories of distributions, ultradistributions and Stato-hyperfunctions. The book could readily be used as a main text on generalised functions for mathematical undergraduates in final year analysis courses, as it presupposes little more than a general mathematical background. It also makes a valuable reference text for non-specific applied mathematics students, such as physicists or electrical engineers, needing to gain expertise in the application of generalised functions to physical problems, without any prior acquaintance of the specialised subject matter. An ideal companion book to Delta Functions, also by Professor Hoskins. - Explains and compares the various standard types of generalised functions that have been developed during the 20th Century - Contains accounts of recent non-standard theories of distributions, ultradistributions and Stato-hyperfunctions
A Guided Tour Of Mathematical Methods
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Author : Roel Snieder
language : en
Publisher: Cambridge University Press
Release Date : 2004-09-23
A Guided Tour Of Mathematical Methods written by Roel Snieder 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 2004-09-23 with Mathematics categories.
Mathematical methods are essential tools for all physical scientists. This second edition provides a comprehensive tour of the mathematical knowledge and techniques that are needed by students in this area. In contrast to more traditional textbooks, all the material is presented in the form of problems. Within these problems the basic mathematical theory and its physical applications are well integrated. The mathematical insights that the student acquires are therefore driven by their physical insight. Topics that are covered include vector calculus, linear algebra, Fourier analysis, scale analysis, complex integration, Green's functions, normal modes, tensor calculus and perturbation theory. The second edition contains new chapters on dimensional analysis, variational calculus, and the asymptotic evaluation of integrals. This book can be used by undergraduates and lower-level graduate students in the physical sciences. It can serve as a stand-alone text, or as a source of problems and examples to complement other textbooks.
Introduction To The Senses
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Author : Terry R. J. Bossomaier
language : en
Publisher: Cambridge University Press
Release Date : 2012-06-14
Introduction To The Senses written by Terry R. J. Bossomaier 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 2012-06-14 with Science categories.
An understanding of the senses - vision, hearing, touch, chemical and other non-human senses - is important not only for many fields of biology but also in applied areas such as human-computer interaction, robotics and computer games. Using information theory as a unifying framework, this is a wide-ranging survey of sensory systems, covering all known senses. The book draws on three unifying principles to examine senses: the Nyquist sampling theorem, Shannon's information theory, and the creation of different streams of information to subserve different tasks. This framework is used to discuss the fascinating role of sensory adaptation in the context of environment and lifestyle. Providing a fundamental grounding in sensory perception, the book then demonstrates how this knowledge can be applied to the design of human-computer interfaces and virtual environments. It is an ideal resource for both graduate and undergraduate students of biology, engineering (robotics) and computer science.
Essential Mathematical Methods For Physicists Ise
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Author : Hans J. Weber
language : en
Publisher: Academic Press
Release Date : 2004
Essential Mathematical Methods For Physicists Ise written by Hans J. Weber and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Mathematics categories.
This new adaptation of Arfken and Weber's best-selling Mathematical Methods for Physicists, fifth edition, is the most modern collection of mathematical principles for solving physics problems.
Geometric Theory Of Generalized Functions With Applications To General Relativity
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Author : Michael Grosser
language : en
Publisher: Springer Science & Business Media
Release Date : 2001-11-30
Geometric Theory Of Generalized Functions With Applications To General Relativity written by Michael Grosser 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 2001-11-30 with Mathematics categories.
This work provides the first comprehensive introduction to the nonlinear theory of generalized functions (in the sense of Colombeau's construction) on differentiable manifolds. Particular emphasis is laid on a diffeomorphism invariant geometric approach to embedding the space of Schwartz distributions into algebras of generalized functions. The foundations of a `nonlinear distributional geometry' are developed, supplying a solid base for an increasing number of applications of algebras of generalized functions to questions of a primarily geometric mature, in particular in mathematical physics. Applications of the resulting theory to symmetry group analysis of differential equations and the theory of general relativity are presented in separate chapters. These features distinguish the present volume from earlier introductory texts and monographs on the subject. Audience: The book will be of interest to graduate students as well as to researchers in functional analysis, partial differential equations, differential geometry, and mathematical physics.
Quantum Mechanics I
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Author : David DeBruyne
language : en
Publisher: Larry Sorensen
Release Date : 2018-11-05
Quantum Mechanics I written by David DeBruyne and has been published by Larry Sorensen this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-05 with Science categories.
The very best book about how to do quantum mechanics explained in simple English. Ideal for self study or for understanding your professor and his traditional textbook.
An Introduction To Statistical Mechanics And Thermodynamics
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Author : Robert H. Swendsen
language : en
Publisher: Oxford University Press
Release Date : 2012-03
An Introduction To Statistical Mechanics And Thermodynamics written by Robert H. Swendsen and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-03 with Mathematics categories.
This text presents statistical mechanics and thermodynamics as a theoretically integrated field of study. It stresses deep coverage of fundamentals, providing a natural foundation for advanced topics. The large problem sets (with solutions for teachers) include many computational problems to advance student understanding.