Analytic Functions Integral Transforms Differential Equations PDF Download
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Author | : Filippo Gazzola |
Publisher | : Società Editrice Esculapio |
Total Pages | : 393 |
Release | : 2023-02-09 |
Genre | : Mathematics |
ISBN | : |
Download Analytic Functions Integral Transforms Differential Equations Book in PDF, ePub and Kindle
Differential equations play a relevant role in many disciplines and provide powerful tools for analysis and modeling in applied sciences. The book contains several classical and modern methods for the study of ordinary and partial differential equations. A broad space is reserved to Fourier and Laplace transforms together with their applications to the solution of boundary value and/or initial value problems for differential equations. Basic prerequisites concerning analytic functions of complex variable and Lp spaces are synthetically presented in the first two chapters. Techniques based on integral transforms and Fourier series are presented in specific chapters, first in the easier framework of integrable functions and later in the general framework of distributions. The less elementary distributional context allows to deal also with differential equations with highly irregular data and pulse signals. The theory is introduced concisely, while learning of miscellaneous methods is achieved step-by-step through the proposal of many exercises of increasing difficulty. Additional recap exercises are collected in dedicated sections. Several tables for easy reference of main formulas are available at the end of the book. The presentation is oriented mainly to students of Schools in Engineering, Sciences and Economy. The partition of various topics in several self-contained and independent sections allows an easy splitting in at least two didactic modules: one at undergraduate level, the other at graduate level. This text is the English translation of last edition of the Italian book “Analisi Complessa, Trasformate, Equazioni Differenziali”.
Author | : F. Gazzola |
Publisher | : Società Editrice Esculapio |
Total Pages | : 393 |
Release | : 2020-07-01 |
Genre | : Mathematics |
ISBN | : 8835858321 |
Download Analytic functions Integral transforms Differential Equations Book in PDF, ePub and Kindle
Differential equations play a relevant role in many disciplines and provide powerful tools for analysis and modeling in applied sciences. The book contains several classical and modern methods for the study of ordinary and partial differential equations. A broad space is reserved to Fourier and Laplace transforms together with their applications to the solution of boundary value and/or initial value problems for differential equations. Basic prerequisites concerning analytic functions of complex variable and Lp spaces are synthetically presented in the first two chapters. Techniques based on integral transforms and Fourier series are presented in specific chapters, first in the easier framework of integrable functions and later in the general framework of distributions. The less elementary distributional context allows to deal also with differential equations with highly irregular data and pulse signals. The theory is introduced concisely, while learning of miscellaneous methods is achieved step-by-step through the proposal of many exercises of increasing difficulty. Additional recap exercises are collected in dedicated sections. Several tables for easy reference of main formulas are available at the end of the book. The presentation is oriented mainly to students of Schools in Engineering, Sciences and Economy. The partition of various topics in several self-contained and independent sections allows an easy splitting in at least two didactic modules: one at undergraduate level, the other at graduate level.
Author | : Filippo Gazzola |
Publisher | : |
Total Pages | : 0 |
Release | : 2023 |
Genre | : Mathematics |
ISBN | : 9788893853453 |
Download Analytic Functions Integral Transforms Differential Equations. Theoretical Topics and Solved Exercises Book in PDF, ePub and Kindle
Author | : S. Saitoh |
Publisher | : Springer Science & Business Media |
Total Pages | : 288 |
Release | : 2013-03-09 |
Genre | : Mathematics |
ISBN | : 1475732988 |
Download Analytic Extension Formulas and their Applications Book in PDF, ePub and Kindle
Analytic Extension is a mysteriously beautiful property of analytic functions. With this point of view in mind the related survey papers were gathered from various fields in analysis such as integral transforms, reproducing kernels, operator inequalities, Cauchy transform, partial differential equations, inverse problems, Riemann surfaces, Euler-Maclaurin summation formulas, several complex variables, scattering theory, sampling theory, and analytic number theory, to name a few. Audience: Researchers and graduate students in complex analysis, partial differential equations, analytic number theory, operator theory and inverse problems.
Author | : H. M. Srivastava |
Publisher | : MDPI |
Total Pages | : 510 |
Release | : 2019-11-20 |
Genre | : Technology & Engineering |
ISBN | : 303921618X |
Download Integral Transforms and Operational Calculus Book in PDF, ePub and Kindle
Researches and investigations involving the theory and applications of integral transforms and operational calculus are remarkably wide-spread in many diverse areas of the mathematical, physical, chemical, engineering and statistical sciences. This Special Issue contains a total of 36 carefully-selected and peer-reviewed articles which are authored by established researchers from many countries. Included in this Special Issue are review, expository and original research articles dealing with the recent advances on the topics of integral transforms and operational calculus as well as their multidisciplinary applications
Author | : G. Evans |
Publisher | : Springer Science & Business Media |
Total Pages | : 308 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1447103793 |
Download Analytic Methods for Partial Differential Equations Book in PDF, ePub and Kindle
This is the practical introduction to the analytical approach taken in Volume 2. Based upon courses in partial differential equations over the last two decades, the text covers the classic canonical equations, with the method of separation of variables introduced at an early stage. The characteristic method for first order equations acts as an introduction to the classification of second order quasi-linear problems by characteristics. Attention then moves to different co-ordinate systems, primarily those with cylindrical or spherical symmetry. Hence a discussion of special functions arises quite naturally, and in each case the major properties are derived. The next section deals with the use of integral transforms and extensive methods for inverting them, and concludes with links to the use of Fourier series.
Author | : William R. Derrick |
Publisher | : Academic Press |
Total Pages | : 233 |
Release | : 2014-05-10 |
Genre | : Mathematics |
ISBN | : 1483260488 |
Download Introductory Complex and Analysis Applications Book in PDF, ePub and Kindle
Introductory Complex and Analysis Applications provides an introduction to the functions of a complex variable, emphasizing applications. This book covers a variety of topics, including integral transforms, asymptotic expansions, harmonic functions, Fourier transformation, and infinite series. Organized into eight chapters, this book begins with an overview of the theory of functions of a complex variable. This text then examines the properties of analytical functions, which are all consequences of the differentiability of the function. Other chapters consider the converse of Taylor's Theorem, namely that convergent power series are analytical functions in their domain of convergence. This book discusses as well the Residue Theorem, which is of fundamental significance in complex analysis and is the core concept in the development of the techniques. The final chapter deals with the method of steepest descent, which is useful in determining the asymptotic behavior of integral representations of analytic functions. This book is a valuable resource for undergraduate students in engineering and mathematics.
Author | : Urs Graf |
Publisher | : Springer Science & Business Media |
Total Pages | : 422 |
Release | : 2010-03-12 |
Genre | : Mathematics |
ISBN | : 3034604076 |
Download Introduction to Hyperfunctions and Their Integral Transforms Book in PDF, ePub and Kindle
This textbook presents an introduction to the subject of generalized functions and their integral transforms by an approach based on the theory of functions of one complex variable. It includes many concrete examples.
Author | : Heinrich Begehr |
Publisher | : Springer Science & Business Media |
Total Pages | : 367 |
Release | : 2013-12-01 |
Genre | : Mathematics |
ISBN | : 1461332761 |
Download Partial Differential and Integral Equations Book in PDF, ePub and Kindle
This volume of the Proceedings of the congress ISAAC '97 collects the con tributions of the four sections 1. Function theoretic and functional analytic methods for pde, 2. Applications of function theory of several complex variables to pde, 3. Integral equations and boundary value problems, 4. Partial differential equations. Most but not all of the authors have participated in the congress. Unfortunately some from Eastern Europe and Asia have not managed to come because of lack of financial support. Nevertheless their manuscripts of the proposed talks are included in this volume. The majority of the papers deal with complex methods. Among them boundary value problems in particular the Riemann-Hilbert, the Riemann (Hilbert) and related problems are treated. Boundary behaviour of vector-valued functions are studied too. The Riemann-Hilbert problem is solved for elliptic complex equations, for mixed complex equations, and for several complex variables. It is considered in a general topological setting for mappings into q;n and related to Toeplitz operators. Convolution operators are investigated for nilpotent Lie groups leading to some consequences for the null space of the tangential Cauchy Riemann operator. Some boundary value problems for overdetermined systems in balls of q;n are solved explicitly. A survey is given for the Gauss-Manin connection associated with deformations of curve singularities. Several papers deal with generalizations of analytic functions with various applications to mathematical physics. Singular integrals in quaternionic anal ysis are studied which are applied to the time-harmonic Maxwell equations.
Author | : O.P. Misra |
Publisher | : Elsevier |
Total Pages | : 347 |
Release | : 1986-01-01 |
Genre | : Mathematics |
ISBN | : 0080872301 |
Download Transform Analysis of Generalized Functions Book in PDF, ePub and Kindle
Transform Analysis of Generalized Functions concentrates on finite parts of integrals, generalized functions and distributions. It gives a unified treatment of the distributional setting with transform analysis, i.e. Fourier, Laplace, Stieltjes, Mellin, Hankel and Bessel Series. Included are accounts of applications of the theory of integral transforms in a distributional setting to the solution of problems arising in mathematical physics. Information on distributional solutions of differential, partial differential equations and integral equations is conveniently collected here. The volume will serve as introductory and reference material for those interested in analysis, applications, physics and engineering.