The Cauchy Method of Residues

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Publisher : Springer Science & Business Media
ISBN 13 : 9401120005
Total Pages : 206 pages
Book Rating : 4.4/5 (11 download)

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Book Synopsis The Cauchy Method of Residues by : Dragoslav S. Mitrinovic

Download or read book The Cauchy Method of Residues written by Dragoslav S. Mitrinovic and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: Volume 1, i. e. the monograph The Cauchy Method of Residues - Theory and Applications published by D. Reidel Publishing Company in 1984 is the only book that covers all known applications of the calculus of residues. They range from the theory of equations, theory of numbers, matrix analysis, evaluation of real definite integrals, summation of finite and infinite series, expansions of functions into infinite series and products, ordinary and partial differential equations, mathematical and theoretical physics, to the calculus of finite differences and difference equations. The appearance of Volume 1 was acknowledged by the mathematical community. Favourable reviews and many private communications encouraged the authors to continue their work, the result being the present book, Volume 2, a sequel to Volume 1. We mention that Volume 1 is a revised, extended and updated translation of the book Cauchyjev raeun ostataka sa primenama published in Serbian by Nau~na knjiga, Belgrade in 1978, whereas the greater part of Volume 2 is based upon the second Serbian edition of the mentioned book from 1991. Chapter 1 is introductory while Chapters 2 - 6 are supplements to the corresponding chapters of Volume 1. They mainly contain results missed during the preparation of Volume 1 and also some new results published after 1982. Besides, certain topics which were only briefly mentioned in Volume 1 are treated here in more detail.

The Cauchy Method of Residues

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Publisher : Springer Science & Business Media
ISBN 13 : 9789027716231
Total Pages : 388 pages
Book Rating : 4.7/5 (162 download)

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Book Synopsis The Cauchy Method of Residues by : Dragoslav S. Mitrinovic

Download or read book The Cauchy Method of Residues written by Dragoslav S. Mitrinovic and published by Springer Science & Business Media. This book was released on 1984-04-30 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not' grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory arid the struc ture of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging subdisciplines as "completely integrable systems", "chaos, synergetics and large-5cale order", which are almost impossible to fit into the existing classification schemes. They draw upon widely different sections of mathematics. This program, Mathematics and Its Applications, is devoted to such (new) interrelations as exampla gratia: - a central concept which plays an important role in several different mathe matical and/or scientific specialized areas; - new applications of the results and ideas from one area of scientific en deavor into another; - influences which the results, problems and concepts of one field of enquiry have and have had on the development of another.

The Cauchy Method of Residues

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Publisher : Springer Science & Business Media
ISBN 13 : 9789027716231
Total Pages : 218 pages
Book Rating : 4.7/5 (162 download)

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Book Synopsis The Cauchy Method of Residues by : Dragoslav S. Mitrinovic

Download or read book The Cauchy Method of Residues written by Dragoslav S. Mitrinovic and published by Springer Science & Business Media. This book was released on 1984-04-30 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not' grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory arid the struc ture of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging subdisciplines as "completely integrable systems", "chaos, synergetics and large-5cale order", which are almost impossible to fit into the existing classification schemes. They draw upon widely different sections of mathematics. This program, Mathematics and Its Applications, is devoted to such (new) interrelations as exampla gratia: - a central concept which plays an important role in several different mathe matical and/or scientific specialized areas; - new applications of the results and ideas from one area of scientific en deavor into another; - influences which the results, problems and concepts of one field of enquiry have and have had on the development of another.

The Cauchy Method of Residues

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Publisher :
ISBN 13 :
Total Pages : 361 pages
Book Rating : 4.:/5 (251 download)

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Book Synopsis The Cauchy Method of Residues by : Dragoslav S. MITRINOVIĆ

Download or read book The Cauchy Method of Residues written by Dragoslav S. MITRINOVIĆ and published by . This book was released on 1984 with total page 361 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Cauchy Method of Residues

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Publisher :
ISBN 13 : 9780792323112
Total Pages : 191 pages
Book Rating : 4.3/5 (231 download)

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Book Synopsis The Cauchy Method of Residues by : Dragoslav S. Mitrinović

Download or read book The Cauchy Method of Residues written by Dragoslav S. Mitrinović and published by . This book was released on 1993 with total page 191 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Cauchy Method of Residues

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Author :
Publisher : Springer
ISBN 13 : 9789401568722
Total Pages : 0 pages
Book Rating : 4.5/5 (687 download)

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Book Synopsis The Cauchy Method of Residues by : Dragoslav S. Mitrinovic

Download or read book The Cauchy Method of Residues written by Dragoslav S. Mitrinovic and published by Springer. This book was released on 2001-12-14 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not' grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory arid the struc ture of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging subdisciplines as "completely integrable systems", "chaos, synergetics and large-5cale order", which are almost impossible to fit into the existing classification schemes. They draw upon widely different sections of mathematics. This program, Mathematics and Its Applications, is devoted to such (new) interrelations as exampla gratia: - a central concept which plays an important role in several different mathe matical and/or scientific specialized areas; - new applications of the results and ideas from one area of scientific en deavor into another; - influences which the results, problems and concepts of one field of enquiry have and have had on the development of another.

Complex Integration and Cauchy's Theorem

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Publisher :
ISBN 13 :
Total Pages : 100 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Complex Integration and Cauchy's Theorem by : G. N. Watson

Download or read book Complex Integration and Cauchy's Theorem written by G. N. Watson and published by . This book was released on 1914 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originally published in 1914, this book provides a concise proof of Cauchy's Theorem, with applications of the theorem to the evaluation of definite integrals.

Analysis and Simulation of Chaotic Systems

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Publisher : Springer Science & Business Media
ISBN 13 : 0387989439
Total Pages : 331 pages
Book Rating : 4.3/5 (879 download)

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Book Synopsis Analysis and Simulation of Chaotic Systems by : Frank C. Hoppensteadt

Download or read book Analysis and Simulation of Chaotic Systems written by Frank C. Hoppensteadt and published by Springer Science & Business Media. This book was released on 2000-01-21 with total page 331 pages. Available in PDF, EPUB and Kindle. Book excerpt: Beginning with realistic mathematical or verbal models of physical or biological phenomena, the author derives tractable models for further mathematical analysis or computer simulations. For the most part, derivations are based on perturbation methods, and the majority of the text is devoted to careful derivations of implicit function theorems, the method of averaging, and quasi-static state approximation methods. The duality between stability and perturbation is developed and used, relying heavily on the concept of stability under persistent disturbances. Relevant topics about linear systems, nonlinear oscillations, and stability methods for difference, differential-delay, integro-differential and ordinary and partial differential equations are developed throughout the book. For the second edition, the author has restructured the chapters, placing special emphasis on introductory materials in Chapters 1 and 2 as distinct from presentation materials in Chapters 3 through 8. In addition, more material on bifurcations from the point of view of canonical models, sections on randomly perturbed systems, and several new computer simulations have been added.

Illustrated Encyclopedia of Applied and Engineering Physics, Three-Volume Set

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Publisher : CRC Press
ISBN 13 : 1351625632
Total Pages : 2045 pages
Book Rating : 4.3/5 (516 download)

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Book Synopsis Illustrated Encyclopedia of Applied and Engineering Physics, Three-Volume Set by : Robert Splinter

Download or read book Illustrated Encyclopedia of Applied and Engineering Physics, Three-Volume Set written by Robert Splinter and published by CRC Press. This book was released on 2017-04-07 with total page 2045 pages. Available in PDF, EPUB and Kindle. Book excerpt: This resource provides a single, concise reference containing terms and expressions used in the study, practice, and application of physical sciences. The reader will be able to identify quickly critical information about professional jargon, important people, and events. The encyclopedia gives self-contained definitions with essentials regarding the meaning of technical terms and their usage, as well as about important people within various fields of physics and engineering, with highlights of technical and practical aspects related to cross-functional integration. It will be indispensable for anyone working on applications in biomedicine, materials science, chemical engineering, electrical engineering, mechanical engineering, geology, astronomy, and energy. It also includes handy tables and chronological timelines organized by subject area and giving an overview on the historical development of ideas and discovery.

Transform Methods for Solving Partial Differential Equations

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Publisher : CRC Press
ISBN 13 : 1420035142
Total Pages : 727 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Transform Methods for Solving Partial Differential Equations by : Dean G. Duffy

Download or read book Transform Methods for Solving Partial Differential Equations written by Dean G. Duffy and published by CRC Press. This book was released on 2004-07-15 with total page 727 pages. Available in PDF, EPUB and Kindle. Book excerpt: Transform methods provide a bridge between the commonly used method of separation of variables and numerical techniques for solving linear partial differential equations. While in some ways similar to separation of variables, transform methods can be effective for a wider class of problems. Even when the inverse of the transform cannot be found ana

Cauchy and the Creation of Complex Function Theory

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Publisher : Cambridge University Press
ISBN 13 : 9780521592789
Total Pages : 242 pages
Book Rating : 4.5/5 (927 download)

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Book Synopsis Cauchy and the Creation of Complex Function Theory by : Frank Smithies

Download or read book Cauchy and the Creation of Complex Function Theory written by Frank Smithies and published by Cambridge University Press. This book was released on 1997-11-20 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dr Smithies' analysis of the process whereby Cauchy created the basic structure of complex analysis, begins by describing the 18th century background. He then proceeds to examine the stages of Cauchy's own work, culminating in the proof of the residue theorem. Controversies associated with the the birth of the subject are also considered in detail. Throughout, new light is thrown on Cauchy's thinking during this watershed period. This authoritative book is the first to make use of the whole spectrum of available original sources.

Advanced Engineering Mathematics with MATLAB, Third Edition

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Publisher : CRC Press
ISBN 13 : 1439816247
Total Pages : 1107 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Advanced Engineering Mathematics with MATLAB, Third Edition by : Dean G. Duffy

Download or read book Advanced Engineering Mathematics with MATLAB, Third Edition written by Dean G. Duffy and published by CRC Press. This book was released on 2010-10-26 with total page 1107 pages. Available in PDF, EPUB and Kindle. Book excerpt: Taking a practical approach to the subject, Advanced Engineering Mathematics with MATLAB®, Third Edition continues to integrate technology into the conventional topics of engineering mathematics. The author employs MATLAB to reinforce concepts and solve problems that require heavy computation. MATLAB scripts are available for download at www.crcpress.com Along with new examples, problems, and projects, this updated and expanded edition incorporates several significant improvements. New to the Third Edition New chapter on Green’s functions New section that uses the matrix exponential to solve systems of differential equations More numerical methods for solving differential equations, including Adams–Bashforth and finite element methods New chapter on probability that presents basic concepts, such as mean, variance, and probability density functions New chapter on random processes that focuses on noise and other random fluctuations Suitable for a differential equations course or a variety of engineering mathematics courses, the text covers fundamental techniques and concepts as well as Laplace transforms, separation of variable solutions to partial differential equations, the z-transform, the Hilbert transform, vector calculus, and linear algebra. It also highlights many modern applications in engineering to show how these topics are used in practice. A solutions manual is available for qualifying instructors.

Signals and Systems

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Publisher : PHI Learning Pvt. Ltd.
ISBN 13 : 8120334221
Total Pages : 636 pages
Book Rating : 4.1/5 (23 download)

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Book Synopsis Signals and Systems by : G. B. GURUNG

Download or read book Signals and Systems written by G. B. GURUNG and published by PHI Learning Pvt. Ltd.. This book was released on 2009-01-30 with total page 636 pages. Available in PDF, EPUB and Kindle. Book excerpt: A valuable introduction to Signals and Systems, this textbook has been developed by the author from his experience of teaching this particular subject to undergraduate students. It is suitable for B.E./B.Tech students in such disciplines as Electrical Engineering, Electronics and Communication Engineering, Computer Science and Engineering, Information Technology, and Biomedical Engineering. The book provides a clear understanding of the issues that students face in assimilating this highly mathematical subject. It is a comprehensive analytical treatment of signals and systems with a strong emphasis on solving problems. Each topic is supported by sufficient numbers of solved examples. Besides, a variety of tricky objective type questions have been included at the end of every chapter. Emphasizing systems approach, the book offers a unified treatment of both continuous-time and discrete-time signals and systems. The analysis tools such as Fourier transform, Laplace transform, sampling theorem and Z-transform are presented elaborately. Conceptual understanding is reinforced through plenty of worked examples. The book concludes with a chapter focused on realization of Finite Impulse Response (FIR) and Infinite Impulse Response (IIR) filters. Several appendices provide the requisite background mathematical material for ease of reference by the students

Advanced Engineering Mathematics

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Publisher : CRC Press
ISBN 13 : 1000551253
Total Pages : 466 pages
Book Rating : 4.0/5 (5 download)

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Book Synopsis Advanced Engineering Mathematics by : Dean G. Duffy

Download or read book Advanced Engineering Mathematics written by Dean G. Duffy and published by CRC Press. This book was released on 2022-03-23 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: Through four previous editions of Advanced Engineering Mathematics with MATLAB, the author presented a wide variety of topics needed by today's engineers. The fifth edition of that book, available now, has been broken into two parts: topics currently needed in mathematics courses and a new stand-alone volume presenting topics not often included in these courses and consequently unknown to engineering students and many professionals. The overall structure of this new book consists of two parts: transform methods and random processes. Built upon a foundation of applied complex variables, the first part covers advanced transform methods, as well as z-transforms and Hilbert transforms--transforms of particular interest to systems, communication, and electrical engineers. This portion concludes with Green's function, a powerful method of analyzing systems. The second portion presents random processes--processes that more accurately model physical and biological engineering. Of particular interest is the inclusion of stochastic calculus. The author continues to offer a wealth of examples and applications from the scientific and engineering literature, a highlight of his previous books. As before, theory is presented first, then examples, and then drill problems. Answers are given in the back of the book. This book is all about the future: The purpose of this book is not only to educate the present generation of engineers but also the next. "The main strength is the text is written from an engineering perspective. The majority of my students are engineers. The physical examples are related to problems of interest to the engineering students." --Lea Jenkins, Clemson University

Complex Interval Arithmetic and Its Applications

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Publisher : John Wiley & Sons
ISBN 13 : 9783527401345
Total Pages : 296 pages
Book Rating : 4.4/5 (13 download)

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Book Synopsis Complex Interval Arithmetic and Its Applications by : Miodrag Petković

Download or read book Complex Interval Arithmetic and Its Applications written by Miodrag Petković and published by John Wiley & Sons. This book was released on 1998 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to present formulas and methods developed using complex interval arithmetic. While most of numerical methods described in the literature deal with real intervals and real vectors, there is no systematic study of methods in complex interval arithmetic. The book fills this gap. Several main subjects are considered: outer estimates for the range of complex functions, especially complex centered forms, the best approximations of elementary complex functions by disks, iterative methods for the inclusion by polynomial zeros including their implementation on parallel computers, the analysis of numerical stability of iterative methods by using complex interval arithmetic and numerical computation of curvilinear integrals with error bounds. Mainly new methods are presented developed over the last years, including a lot of very recent results by the authors some of which have not been published before.

Functions of a Complex Variable

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Publisher : Courier Dover Publications
ISBN 13 : 0486841944
Total Pages : 163 pages
Book Rating : 4.4/5 (868 download)

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Book Synopsis Functions of a Complex Variable by : E.G. Phillips

Download or read book Functions of a Complex Variable written by E.G. Phillips and published by Courier Dover Publications. This book was released on 2020-04-15 with total page 163 pages. Available in PDF, EPUB and Kindle. Book excerpt: This concise text on the functions of a complex variable provides the basics on a number of important topics, including conformal representation, complex integral calculus, and calculus of residues. 1957 edition.

Complex Variables with Applications

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Publisher : Springer Science & Business Media
ISBN 13 : 0817645136
Total Pages : 521 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Complex Variables with Applications by : Saminathan Ponnusamy

Download or read book Complex Variables with Applications written by Saminathan Ponnusamy and published by Springer Science & Business Media. This book was released on 2007-05-26 with total page 521 pages. Available in PDF, EPUB and Kindle. Book excerpt: Explores the interrelations between real and complex numbers by adopting both generalization and specialization methods to move between them, while simultaneously examining their analytic and geometric characteristics Engaging exposition with discussions, remarks, questions, and exercises to motivate understanding and critical thinking skills Encludes numerous examples and applications relevant to science and engineering students