Delta Functions

Delta Functions
Author: R F Hoskins
Publsiher: Elsevier
Total Pages: 280
Release: 2009-03-31
ISBN 10: 0857099353
ISBN 13: 9780857099358
Language: EN, FR, DE, ES & NL

Delta Functions Book Review:

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

Signals and Systems Primer with MATLAB

Signals and Systems Primer with MATLAB
Author: Alexander D. Poularikas
Publsiher: CRC Press
Total Pages: 680
Release: 2006-12-21
ISBN 10: 9780849372674
ISBN 13: 0849372674
Language: EN, FR, DE, ES & NL

Signals and Systems Primer with MATLAB Book Review:

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.

The Delta Function

The Delta Function
Author: Rosa Montero
Publsiher: U of Nebraska Press
Total Pages: 266
Release: 1991-01-01
ISBN 10: 9780803281837
ISBN 13: 0803281838
Language: EN, FR, DE, ES & NL

The Delta Function Book Review:

In La función delta (1981), the second novel of the best-selling Spanish author Rosa Montero, the real world is as unmapped and treacherous as ever for her countrywomen, but more universal concerns impinge. Translated into English by Kari Easton and Yolanda Molina Gavilán, The Delta Function explores a woman's fears of being abandoned, of being alone, and of dying. A unique double narrative structure throws into relief time's effect on her self-identity, sexuality, and relations with others. Readers will be inspired to confront and rethink their own version of the world around them.

Diffractive Optics

Diffractive Optics
Author: Donald C. O'Shea,Thomas J. Suleski,Alan D. Kathman,Dennis W. Prather
Publsiher: SPIE Press
Total Pages: 241
Release: 2004
ISBN 10: 9780819451712
ISBN 13: 0819451711
Language: EN, FR, DE, ES & NL

Diffractive Optics Book Review:

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.

Mathematical Methods

Mathematical Methods
Author: Sadri Hassani
Publsiher: Springer Science & Business Media
Total Pages: 832
Release: 2008-10-27
ISBN 10: 0387095039
ISBN 13: 9780387095035
Language: EN, FR, DE, ES & NL

Mathematical Methods Book Review:

Intended to follow the usual introductory physics courses, this book has the unique feature of addressing the mathematical needs of sophomores and juniors in physics, engineering and other related fields. Many original, lucid, and relevant examples from the physical sciences, problems at the ends of chapters, and boxes to emphasize important concepts help guide the student through the material. Beginning with reviews of vector algebra and differential and integral calculus, the book continues with infinite series, vector analysis, complex algebra and analysis, ordinary and partial differential equations. Discussions of numerical analysis, nonlinear dynamics and chaos, and the Dirac delta function provide an introduction to modern topics in mathematical physics. This new edition has been made more user-friendly through organization into convenient, shorter chapters. Also, it includes an entirely new section on Probability and plenty of new material on tensors and integral transforms.

Generalized Functions Operator Theory and Dynamical Systems

Generalized Functions  Operator Theory  and Dynamical Systems
Author: I Antoniou,G Lumer
Publsiher: CRC Press
Total Pages: 392
Release: 1998-12-23
ISBN 10: 9780849306198
ISBN 13: 0849306191
Language: EN, FR, DE, ES & NL

Generalized Functions Operator Theory and Dynamical Systems Book Review:

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. Here the topics include:

An Introduction to Fourier Analysis and Generalised Functions

An Introduction to Fourier Analysis and Generalised Functions
Author: M. J. Lighthill,Lighting Research Center,Lighthill M. J.
Publsiher: Cambridge University Press
Total Pages: 79
Release: 1958
ISBN 10: 9780521091282
ISBN 13: 0521091284
Language: EN, FR, DE, ES & NL

An Introduction to Fourier Analysis and Generalised Functions Book Review:

"Clearly and attractively written, but without any deviation from rigorous standards of mathematical proof...." Science Progress

Theories of Generalised Functions

Theories of Generalised Functions
Author: R F Hoskins,J S Pinto
Publsiher: Elsevier
Total Pages: 306
Release: 2005-01-01
ISBN 10: 0857099485
ISBN 13: 9780857099488
Language: EN, FR, DE, ES & NL

Theories of Generalised Functions Book Review:

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

Geometrical Methods of Mathematical Physics

Geometrical Methods of Mathematical Physics
Author: Bernard F. Schutz,Director Bernard F Schutz
Publsiher: Cambridge University Press
Total Pages: 250
Release: 1980-01-28
ISBN 10: 9780521298872
ISBN 13: 0521298873
Language: EN, FR, DE, ES & NL

Geometrical Methods of Mathematical Physics Book Review:

For physicists and applied mathematicians working in the fields of relativity and cosmology, high-energy physics and field theory, thermodynamics, fluid dynamics and mechanics. This book provides an introduction to the concepts and techniques of modern differential theory, particularly Lie groups, Lie forms and differential forms.

Fourier Analysis and Imaging

Fourier Analysis and Imaging
Author: Ronald Bracewell
Publsiher: Springer Science & Business Media
Total Pages: 689
Release: 2004-01-31
ISBN 10: 9780306481871
ISBN 13: 0306481871
Language: EN, FR, DE, ES & NL

Fourier Analysis and Imaging Book Review:

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.

Fourier Methods in Imaging

Fourier Methods in Imaging
Author: Roger L. Easton Jr.
Publsiher: John Wiley & Sons
Total Pages: 954
Release: 2010-11-18
ISBN 10: 9781119991861
ISBN 13: 1119991862
Language: EN, FR, DE, ES & NL

Fourier Methods in Imaging Book Review:

Fourier Methods in Imaging introduces the mathematical tools for modeling linear imaging systems to predict the action of the system or for solving for the input. The chapters are grouped into five sections, the first introduces the imaging “tasks” (direct, inverse, and system analysis), the basic concepts of linear algebra for vectors and functions, including complex-valued vectors, and inner products of vectors and functions. The second section defines "special" functions, mathematical operations, and transformations that are useful for describing imaging systems. Among these are the Fourier transforms of 1-D and 2-D function, and the Hankel and Radon transforms. This section also considers approximations of the Fourier transform. The third and fourth sections examine the discrete Fourier transform and the description of imaging systems as linear "filters", including the inverse, matched, Wiener and Wiener-Helstrom filters. The final section examines applications of linear system models to optical imaging systems, including holography. Provides a unified mathematical description of imaging systems. Develops a consistent mathematical formalism for characterizing imaging systems. Helps the reader develop an intuitive grasp of the most common mathematical methods, useful for describing the action of general linear systems on signals of one or more spatial dimensions. Offers parallel descriptions of continuous and discrete cases. Includes many graphical and pictorial examples to illustrate the concepts. This book helps students develop an understanding of mathematical tools for describing general one- and two-dimensional linear imaging systems, and will also serve as a reference for engineers and scientists

Signals and Systems with MATLAB Applications

Signals and Systems with MATLAB Applications
Author: Steven T. Karris
Publsiher: Orchard Publications
Total Pages: 598
Release: 2003
ISBN 10: 9780970951168
ISBN 13: 0970951167
Language: EN, FR, DE, ES & NL

Signals and Systems with MATLAB Applications Book Review:

This text contains a comprehensive discussion of continuous and discrete time signals and systems with many examples from MATLAB--software used to write efficient, compact programs to solve electrical and computer engineering problems of varying complexity. Intended for junior- and senior-level electrical engineering students and for self-study by working professionals, it discusses Laplace transformation and circuit analysis, impulse response, Fourier series, Z transform, and the Discrete Fourier transform and FFT. Solutions to all exercises are included in this revised edition.

An Introduction to Quantum Theory

An Introduction to Quantum Theory
Author: F. S. Levin
Publsiher: Cambridge University Press
Total Pages: 793
Release: 2002
ISBN 10: 9780521598415
ISBN 13: 0521598419
Language: EN, FR, DE, ES & NL

An Introduction to Quantum Theory Book Review:

An undergraduate introductory quantum mechanics textbook with a large number of figures and exercises.

Stationary Stochastic Processes for Scientists and Engineers

Stationary Stochastic Processes for Scientists and Engineers
Author: Georg Lindgren,Holger Rootzen,Maria Sandsten
Publsiher: CRC Press
Total Pages: 330
Release: 2013-10-11
ISBN 10: 1466586192
ISBN 13: 9781466586192
Language: EN, FR, DE, ES & NL

Stationary Stochastic Processes for Scientists and Engineers Book Review:

Stochastic processes are indispensable tools for development and research in signal and image processing, automatic control, oceanography, structural reliability, environmetrics, climatology, econometrics, and many other areas of science and engineering. Suitable for a one-semester course, Stationary Stochastic Processes for Scientists and Engineers teaches students how to use these processes efficiently. Carefully balancing mathematical rigor and ease of exposition, the book provides students with a sufficient understanding of the theory and a practical appreciation of how it is used in real-life situations. Special emphasis is on the interpretation of various statistical models and concepts as well as the types of questions statistical analysis can answer. The text first introduces numerous examples from signal processing, economics, and general natural sciences and technology. It then covers the estimation of mean value and covariance functions, properties of stationary Poisson processes, Fourier analysis of the covariance function (spectral analysis), and the Gaussian distribution. The book also focuses on input-output relations in linear filters, describes discrete-time auto-regressive and moving average processes, and explains how to solve linear stochastic differential equations. It concludes with frequency analysis and estimation of spectral densities. With a focus on model building and interpreting the statistical concepts, this classroom-tested book conveys a broad understanding of the mechanisms that generate stationary stochastic processes. By combining theory and applications, the text gives students a well-rounded introduction to these processes. To enable hands-on practice, MATLAB® code is available online.

Modern Mathematics for the Engineer Second Series

Modern Mathematics for the Engineer  Second Series
Author: Edwin F. Beckenbach
Publsiher: Courier Corporation
Total Pages: 480
Release: 2013-07-24
ISBN 10: 0486316122
ISBN 13: 9780486316123
Language: EN, FR, DE, ES & NL

Modern Mathematics for the Engineer Second Series Book Review:

The second in this two-volume series also contains original papers commissioned from prominent 20th-century mathematicians. A three-part treatment covers mathematical methods, statistical and scheduling studies, and physical phenomena. 1961 edition.

Classical Electromagnetism in a Nutshell

Classical Electromagnetism in a Nutshell
Author: Anupam Garg
Publsiher: Princeton University Press
Total Pages: 712
Release: 2012-04-08
ISBN 10: 1400842751
ISBN 13: 9781400842759
Language: EN, FR, DE, ES & NL

Classical Electromagnetism in a Nutshell Book Review:

This graduate-level physics textbook provides a comprehensive treatment of the basic principles and phenomena of classical electromagnetism. While many electromagnetism texts use the subject to teach mathematical methods of physics, here the emphasis is on the physical ideas themselves. Anupam Garg distinguishes between electromagnetism in vacuum and that in material media, stressing that the core physical questions are different for each. In vacuum, the focus is on the fundamental content of electromagnetic laws, symmetries, conservation laws, and the implications for phenomena such as radiation and light. In material media, the focus is on understanding the response of the media to imposed fields, the attendant constitutive relations, and the phenomena encountered in different types of media such as dielectrics, ferromagnets, and conductors. The text includes applications to many topical subjects, such as magnetic levitation, plasmas, laser beams, and synchrotrons. Classical Electromagnetism in a Nutshell is ideal for a yearlong graduate course and features more than 300 problems, with solutions to many of the advanced ones. Key formulas are given in both SI and Gaussian units; the book includes a discussion of how to convert between them, making it accessible to adherents of both systems. Offers a complete treatment of classical electromagnetism Emphasizes physical ideas Separates the treatment of electromagnetism in vacuum and material media Presents key formulas in both SI and Gaussian units Covers applications to other areas of physics Includes more than 300 problems

Mathematical Physics

Mathematical Physics
Author: Sadri Hassani
Publsiher: Springer Science & Business Media
Total Pages: 1026
Release: 2002-02-08
ISBN 10: 9780387985794
ISBN 13: 0387985794
Language: EN, FR, DE, ES & NL

Mathematical Physics Book Review:

For physics students interested in the mathematics they use, and for math students interested in seeing how some of the ideas of their discipline find realization in an applied setting. The presentation strikes a balance between formalism and application, between abstract and concrete. The interconnections among the various topics are clarified both by the use of vector spaces as a central unifying theme, recurring throughout the book, and by putting ideas into their historical context. Enough of the essential formalism is included to make the presentation self-contained.

Probability Theory

Probability Theory
Author: E. T. Jaynes
Publsiher: Cambridge University Press
Total Pages: 329
Release: 2003-04-10
ISBN 10: 1139435167
ISBN 13: 9781139435161
Language: EN, FR, DE, ES & NL

Probability Theory Book Review:

The standard rules of probability can be interpreted as uniquely valid principles in logic. In this book, E. T. Jaynes dispels the imaginary distinction between 'probability theory' and 'statistical inference', leaving a logical unity and simplicity, which provides greater technical power and flexibility in applications. This book goes beyond the conventional mathematics of probability theory, viewing the subject in a wider context. New results are discussed, along with applications of probability theory to a wide variety of problems in physics, mathematics, economics, chemistry and biology. It contains many exercises and problems, and is suitable for use as a textbook on graduate level courses involving data analysis. The material is aimed at readers who are already familiar with applied mathematics at an advanced undergraduate level or higher. The book will be of interest to scientists working in any area where inference from incomplete information is necessary.

Generalized Functions Theory and Technique

Generalized Functions  Theory and Technique
Author: Kanwal
Publsiher: Academic Press
Total Pages: 427
Release: 1983-12-01
ISBN 10: 0080956769
ISBN 13: 9780080956763
Language: EN, FR, DE, ES & NL

Generalized Functions Theory and Technique Book Review:

Generalized Functions: Theory and Technique

Mathematical Methods for Engineers and Scientists 2

Mathematical Methods for Engineers and Scientists 2
Author: Kwong-Tin Tang
Publsiher: Springer Science & Business Media
Total Pages: 339
Release: 2006-12-13
ISBN 10: 3540302700
ISBN 13: 9783540302704
Language: EN, FR, DE, ES & NL

Mathematical Methods for Engineers and Scientists 2 Book Review:

Pedagogical insights gained through 30 years of teaching applied mathematics led the author to write this set of student-oriented books. Topics such as complex analysis, matrix theory, vector and tensor analysis, Fourier analysis, integral transforms, ordinary and partial differential equations are presented in a discursive style that is readable and easy to follow. Numerous clearly stated, completely worked out examples together with carefully selected problem sets with answers are used to enhance students' understanding and manipulative skill. The goal is to help students feel comfortable and confident in using advanced mathematical tools in junior, senior, and beginning graduate courses.