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Delta Functions
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Download or read book Delta Functions written by R F Hoskins and published by Elsevier. This book was released on 2009-03-31 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Download or read book Quantum Mechanics written by Ajoy Ghatak and published by Springer Science & Business Media. This book was released on 2004-03-31 with total page 936 pages. Available in PDF, EPUB and Kindle. Book excerpt: An understanding of quantum mechanics is vital to all students of physics, chemistry and electrical engineering, but requires a lot of mathematical concepts, the details of which are given with great clarity in this book. Various concepts have been derived from first principles, so it can also be used for self-study. The chapters on the JWKB approximation, time-independent perturbation theory and effects of magnetic field stand out for their clarity and easy-to-understand mathematics. Two complete chapters on the linear harmonic oscillator provide a very detailed discussion of one of the most fundamental problems in quantum mechanics. Operator algebra is used to show the ease with which one can calculate the harmonic oscillator wave functions and study the evolution of the coherent state. Similarly, three chapters on angular momentum give a detailed account of this important problem. Perhaps the most attractive feature of the book is the excellent balance between theory and applications and the large number of applications in such diverse areas as astrophysics, nuclear physics, atomic and molecular spectroscopy, solid-state physics, and quantum well structures.
Book Synopsis Elements of Slow-Neutron Scattering by : J. M. Carpenter
Download or read book Elements of Slow-Neutron Scattering written by J. M. Carpenter and published by Cambridge University Press. This book was released on 2015-09-24 with total page 539 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive and up-to-date introduction to the fundamental theory and applications of slow-neutron scattering.
Book Synopsis Signals and Systems Primer with MATLAB by : Alexander D. Poularikas
Download or read book Signals and Systems Primer with MATLAB written by Alexander D. Poularikas and published by CRC Press. This book was released on 2018-10-03 with total page 690 pages. Available in PDF, EPUB and Kindle. Book excerpt: Signals and Systems Primer with MATLAB® equally emphasizes the fundamentals of both analog and digital signals and systems. To ensure insight into the basic concepts and methods, the text presents a variety of examples that illustrate a wide range of applications, from microelectromechanical to worldwide communication systems. It also provides MATLAB functions and procedures for practice and verification of these concepts. Taking a pedagogical approach, the author builds a solid foundation in signal processing as well as analog and digital systems. The book first introduces orthogonal signals, linear and time-invariant continuous-time systems, discrete-type systems, periodic signals represented by Fourier series, Gibbs's phenomenon, and the sampling theorem. After chapters on various transforms, the book discusses analog filter design, both finite and infinite impulse response digital filters, and the fundamentals of random digital signal processing, including the nonparametric spectral estimation. The final chapter presents different types of filtering and their uses for random digital signal processing, specifically, the use of Wiener filtering and least mean squares filtering. Balancing the study of signals with system modeling and interactions, this text will help readers accurately develop mathematical representations of systems.
Book Synopsis Theories of Generalised Functions by : R F Hoskins
Download or read book Theories of Generalised Functions written by R F Hoskins and published by Elsevier. This book was released on 2005-01-01 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Author :William M. Hartmann Publisher :Springer Science & Business Media ISBN 13 :9781563962837 Total Pages :680 pages Book Rating :4.9/5 (628 download)
Book Synopsis Signals, Sound, and Sensation by : William M. Hartmann
Download or read book Signals, Sound, and Sensation written by William M. Hartmann and published by Springer Science & Business Media. This book was released on 2004-09-14 with total page 680 pages. Available in PDF, EPUB and Kindle. Book excerpt: Designed to follow an introductory text on psychoacoustics, this book takes readers through the mathematics of signal processing from its beginnings in the Fourier transform to advanced topics in modulation, dispersion relations, minimum phase systems, sampled data, and nonlinear distortion. While organised like an introductory engineering text on signals, the examples and exercises come from research on the perception of sound. A unique feature of this book is its consistent application of the Fourier transform, which unifies topics as diverse as cochlear filtering and digital recording. More than 250 exercises are included, many of them devoted to practical research in perception, while others explore surprising auditory illusions generated by special signals. Periodic signals, aperiodic signals, and noise -- along with their linear and nonlinear transformations -- are covered in detail. More advanced mathematical topics are treated in the appendices. A working knowledge of elementary calculus is the only prerequisite. Indispensable for researchers and advanced students in the psychology of auditory perception.
Book Synopsis A Guided Tour of Mathematical Methods for the Physical Sciences by : Roel Snieder
Download or read book A Guided Tour of Mathematical Methods for the Physical Sciences written by Roel Snieder and published by Cambridge University Press. This book was released on 2015-03-05 with total page 583 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical methods are essential tools for all physical scientists. This book provides a comprehensive tour of the mathematical knowledge and techniques that are needed by students across the physical sciences. In contrast to more traditional textbooks, all the material is presented in the form of exercises. Within these exercises, basic mathematical theory and its applications in the physical sciences are well integrated. In this way, the mathematical insights that readers acquire are driven by their physical-science insight. This third edition has been completely revised: new material has been added to most chapters, and two completely new chapters on probability and statistics and on inverse problems have been added. This guided tour of mathematical techniques is instructive, applied, and fun. This book is targeted for all students of the physical sciences. It can serve as a stand-alone text, or as a source of exercises and examples to complement other textbooks.
Download or read book Modern Optics written by B. D. Guenther and published by Oxford University Press. This book was released on 2018 with total page 737 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modern Optics is a fundamental study of the principles of optics using a rigorous physical approach based on Maxwell's Equations. The treatment provides the mathematical foundations needed to understand a number of applications such as laser optics, fiber optics and medical imaging covered inan engineering curriculum as well as the traditional topics covered in a physics based course in optics. In addition to treating the fundamentals in optical science, the student is given an exposure to actual optics engineering problems such as paraxial matrix optics, aberrations with experimentalexamples, Fourier transform optics (Fresnel-Kirchhoff formulation), Gaussian waves, thin films, photonic crystals, surface plasmons, and fiber optics. Through its many pictures, figures, and diagrams, the text provides a good physical insight into the topics covered. The course content can bemodified to reflect the interests of the instructor as well as the student, through the selection of optional material provided in appendixes.
Book Synopsis Integratal Equation & Boundary Value Problem by : M.D.Raisinghania
Download or read book Integratal Equation & Boundary Value Problem written by M.D.Raisinghania and published by S. Chand Publishing. This book was released on 2007 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Strictly according to the latest syllabus of U.G.C.for Degree level students and for various engineering and professional examinations such as GATE, C.S.I.R NET/JRFand SLET etc. For M.A./M.Sc (Mathematics) also.
Book Synopsis An Introduction to Statistical Mechanics and Thermodynamics by : Robert H. Swendsen
Download or read book An Introduction to Statistical Mechanics and Thermodynamics written by Robert H. Swendsen and published by Oxford University Press. This book was released on 2012-03 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Mastering Quantum Mechanics by : Barton Zwiebach
Download or read book Mastering Quantum Mechanics written by Barton Zwiebach and published by MIT Press. This book was released on 2022-04-12 with total page 1105 pages. Available in PDF, EPUB and Kindle. Book excerpt: A complete overview of quantum mechanics, covering essential concepts and results, theoretical foundations, and applications. This undergraduate textbook offers a comprehensive overview of quantum mechanics, beginning with essential concepts and results, proceeding through the theoretical foundations that provide the field’s conceptual framework, and concluding with the tools and applications students will need for advanced studies and for research. Drawn from lectures created for MIT undergraduates and for the popular MITx online course, “Mastering Quantum Mechanics,” the text presents the material in a modern and approachable manner while still including the traditional topics necessary for a well-rounded understanding of the subject. As the book progresses, the treatment gradually increases in difficulty, matching students’ increasingly sophisticated understanding of the material. • Part 1 covers states and probability amplitudes, the Schrödinger equation, energy eigenstates of particles in potentials, the hydrogen atom, and spin one-half particles • Part 2 covers mathematical tools, the pictures of quantum mechanics and the axioms of quantum mechanics, entanglement and tensor products, angular momentum, and identical particles. • Part 3 introduces tools and techniques that help students master the theoretical concepts with a focus on approximation methods. • 236 exercises and 286 end-of-chapter problems • 248 figures
Book Synopsis Spectral Analysis and Filter Theory in Applied Geophysics by : Burkhard Buttkus
Download or read book Spectral Analysis and Filter Theory in Applied Geophysics written by Burkhard Buttkus and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 665 pages. Available in PDF, EPUB and Kindle. Book excerpt: This state-of-the-art survey serves as a complete overview of the subject. Besides the principles and theoretical foundations, emphasis is laid on practical applicability -- describing not only classical methods, but also modern developments and their applications. Students, researchers and practitioners, especially in the fields of data registration, treatment and evaluation, will find this a wealth of information.
Book Synopsis Quantum Mechanics I by : David DeBruyne
Download or read book Quantum Mechanics I written by David DeBruyne and published by Larry Sorensen. This book was released on 2018-11-05 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Diffractive Optics by : Donald C. O'Shea
Download or read book Diffractive Optics written by Donald C. O'Shea and published by SPIE Press. This book was released on 2004 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides the reader with the broad range of materials that were discussed in a series of short courses presented at Georgia Tech on the design, fabrication, and testing of diffractive optical elements (DOEs). Although there are not long derivations or detailed methods for specific engineering calculations, the reader should be familiar and comfortable with basic computational techniques. This text is not a 'cookbook' for producing DOEs, but it should provide readers with sufficient information to assess whether this technology would benefit their work, and to understand the requirements for using the concepts and techniques presented by the authors.
Book Synopsis Cavity Quantum Electrodynamics by : Sergio M. Dutra
Download or read book Cavity Quantum Electrodynamics written by Sergio M. Dutra and published by John Wiley & Sons. This book was released on 2005-05-27 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: What happens to light when it is trapped in a box? Cavity Quantum Electrodynamics addresses a fascinating question inphysics: what happens to light, and in particular to itsinteraction with matter, when it is trapped inside a box? With theaid of a model-building approach, readers discover the answer tothis question and come to appreciate its important applications incomputing, cryptography, quantum teleportation, andopto-electronics. Instead of taking a traditional approach thatrequires readers to first master a series of seemingly unconnectedmathematical techniques, this book engages the readers' interestand imagination by going straight to the point, introducing themathematics along the way as needed. Appendices are provided forthe additional mathematical theory. Researchers, scientists, and students of modern physics can referto Cavity Quantum Electrodynamics and examine the field thoroughly.Several key topics covered that readers cannot find in any otherquantum optics book include: * Introduction to the problem of the "vacuum catastrophe" and thecosmological constant * Detailed up-to-date account of cavity QED lasers andthresholdless lasing * Examination of cavities with movable walls * First-principles discussion about cavity QED in opencavities * Pedagogical account of microscopic quantization indielectrics Complementing the coverage of the most advanced theory andtechniques, the author provides context by discussing thehistorical evolution of the field and its discoveries. In thatspirit, "recommended reading," provided in each chapter, leadsreaders to both contemporary literature as well as key historicalpapers. Despite being one of many specialties within physics, cavityquantum electrodynamics serves as a window to many of thefundamental issues of physics. Cavity Quantum Electrodynamics willserve as an excellent resource for advanced undergraduate quantummechanics courses as well as for graduate students, researchers,and scientists who need a comprehensive introduction to the field.
Book Synopsis Introduction to Radar Target Recognition by : P. Tait
Download or read book Introduction to Radar Target Recognition written by P. Tait and published by IET. This book was released on 2005 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book text provides an overview of the radar target recognition process and covers the key techniques being developed for operational systems. It is based on the fundamental scientific principles of high resolution radar, and explains how the underlying techniques can be used in real systems, taking into account the characteristics of practical radar system designs and component limitations. It also addresses operational aspects, such as how high resolution modes would fit in with other functions such as detection and tracking.
Book Synopsis Fourier Analysis and Imaging by : Ronald Bracewell
Download or read book Fourier Analysis and Imaging written by Ronald Bracewell and published by Springer Science & Business Media. This book was released on 2004-01-31 with total page 712 pages. Available in PDF, EPUB and Kindle. Book excerpt: As Lord Kelvin said, "Fourier's theorem is not only one of the most beautiful results of modern analysis, but it may be said to furnish an indispensable instrument in the treatment of nearly every recondite question in modern physics." This has remained durable knowledge for a century, and has extended its applicability to topics as diverse as medical imaging (CT scanning), the presentation of images on screens and their digital transmission, remote sensing, geophysical exploration, and many branches of engineering. Fourier Analysis and Imaging is based on years of teaching a course on the Fourier Transform at the senior or early graduate level, as well as on Prof. Bracewell's 1995 text Two-Dimensional Imaging. It is an excellent textbook and will also be a welcome addition to the reference library of those many professionals whose daily activities involve Fourier analysis in its many guises.
