Numerical Methods For Complex Variables

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Engineering Mathematics Volume Ii Numerical Methods And Complex Variables For 1st Year 1st Semester Of Jntu Kakinada

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Author : Iyenger T.K.V./ Gandhi, Krishna B./ Ranganatham S. & Prasad M.V.S.S.N.
language : en
Publisher: S. Chand Publishing
Release Date :

Engineering Mathematics Volume Ii Numerical Methods And Complex Variables For 1st Year 1st Semester Of Jntu Kakinada written by Iyenger T.K.V./ Gandhi, Krishna B./ Ranganatham S. & Prasad M.V.S.S.N. and has been published by S. Chand Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.

Engineering Mathematic

Numerical Methods And Complex Variables

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Author : Dr. Anjani Kumar Shukla
language : en
Publisher: QUILL TECH PUBLICATIONS
Release Date : 2025-06-05

Numerical Methods And Complex Variables written by Dr. Anjani Kumar Shukla and has been published by QUILL TECH PUBLICATIONS this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-06-05 with categories.

Numerical Methods and Complex Variables is a comprehensive textbook that offers a unified exploration of two fundamental areas of applied mathematics—numerical methods and complex analysis. Designed for students, educators, and professionals in mathematics, engineering, and the physical sciences, this book presents both theoretical foundations and practical applications with clarity and precision. The numerical methods section covers essential topics such as root-finding techniques, interpolation, numerical integration, solutions to differential equations, and matrix computations, with a strong focus on algorithm development and computational implementation using tools like MATLAB and Python. The complex variables section introduces readers to the elegant world of complex functions, analytic properties, conformal mappings, complex integration, power series, and residue calculus, supported by visual illustrations and engineering-oriented examples. Each chapter is structured to build conceptual understanding through detailed explanations, real-world problems, and step-by-step solutions. This book is ideal as a primary text for undergraduate and postgraduate courses or as a practical reference for researchers and professionals seeking to apply numerical and analytical techniques in scientific computing, signal processing, fluid dynamics, and other engineering domains.

Laplace Transforms Numerical Methods Complex Variables

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Author : T. K. V. Iyengar, B. Krishna Gandhi, S. Ranganatham & M.V.S.S.N. Prasad
language : en
Publisher: S. Chand Publishing
Release Date :

Laplace Transforms Numerical Methods Complex Variables written by T. K. V. Iyengar, B. Krishna Gandhi, S. Ranganatham & M.V.S.S.N. Prasad and has been published by S. Chand Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on with Science categories.

Laplace Transforms, Numerical Methods & Complex Variables

Numerical Methods For Complex Variables

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Author : Barbara Fader
language : en
Publisher:
Release Date : 1967

Numerical Methods For Complex Variables written by Barbara Fader and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1967 with Functions of complex variables categories.

Numerical Methods And Complex Variables

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Author : Mr. Rohit Manglik
language : en
Publisher: EduGorilla Publication
Release Date : 2024-07-28

Numerical Methods And Complex Variables written by Mr. Rohit Manglik and has been published by EduGorilla Publication this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-07-28 with Mathematics categories.

EduGorilla Publication is a trusted name in the education sector, committed to empowering learners with high-quality study materials and resources. Specializing in competitive exams and academic support, EduGorilla provides comprehensive and well-structured content tailored to meet the needs of students across various streams and levels.

Complex Variable Function Solutions In The Mechanical Analysis Of Tunnels

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Author : Aizhong Lu
language : en
Publisher: Springer Nature
Release Date : 2025-03-03

Complex Variable Function Solutions In The Mechanical Analysis Of Tunnels written by Aizhong Lu and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-03-03 with Science categories.

This book covers the mechanical problems of tunnels in traffic, hydraulic and mining engineering. By extending the complex variable method in mechanical analysis, it proposes accurate analytical solutions for tunnels. The solutions are further applied to the back analysis of tunnels, hole shape optimization, support design and estimation of tunnel stability. The considered rock characteristics involve elasticity, elastoplasticity, viscoelasticity and anisotropy, and various geometric conditions are included, such as circular/noncircular single/multiple tunnels with/without support at deep/shallow depths. Some original achievements are provided, including new mapping functions for complex regions, precise determination of the noncircular plastic zone around single/twin tunnels and related elastoplastic solutions and quantitative analysis of the interaction between rock and the support, which are new developments of theory and method in rock mechanics. The proposed analyticalsolutions are reliable tools to initially estimate the design parameters and achieve optimal design, providing guidance in the conceptual stage of the design process. They can clearly reveal the influences of parameters in functional form and provide a benchmark against which the overall correctness of numerical analyses can be assessed. This book summarizes the author's research achievements over more than 20 years. It is a valuable reference for professionals working in geotechnical engineering.

The Complex Variable Boundary Element Method In Engineering Analysis

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Author : Theodore V. Hromadka
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

The Complex Variable Boundary Element Method In Engineering Analysis written by Theodore V. Hromadka 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 2012-12-06 with Medical categories.

The Complex Variable Boundary Element Method (CVBEM) has emerged as a new and effective modeling method in the field of computational mechanics and hydraulics. The CVBEM is a generalization of the Cauchy integral formula into a boundary integral equation method. The model ing approach by boundary integration, the use of complex variables for two-dimensional potential problems, and the adaptability to now-popular microcomputers are among the factors that make this technique easy to learn, simple to operate, practical for modeling, and efficient in simulating various physical processes. Many of the CVBEM concepts and notions may be derived from the Analytic Function Method (AFM) presented in van der Veer (1978). The AFM served as the starting point for the generalization of the CVBEM theory which was developed during the first author's research engagement (1979 through 1981) at the University of California, Irvine. The growth and expansion of the CVBEM were subsequently nurtured at the U. S. Geological Survey, where keen interest and much activity in numerical modeling and computational mechanics-and-hydraulics are prevalent. Inclusion of the CVBEM research program in Survey's computational-hydraulics projects, brings the modeling researcher more uniform aspects of numerical mathematics in engineering and scientific problems, not to mention its (CVBEM) practicality and usefulness in the hydrologic investigations. This book is intended to introduce the CVBEM to engineers and scientists with its basic theory, underlying mathematics, computer algorithm, error analysis schemes, model adjustment procedures, and application examples.

Advances In The Complex Variable Boundary Element Method

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Author : Theodore V. Hromadka
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14

Advances In The Complex Variable Boundary Element Method written by Theodore V. Hromadka 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 2013-03-14 with Technology & Engineering categories.

Since its inception by Hromadka and Guymon in 1983, the Complex Variable Boundary Element Method or CVBEM has been the subject of several theoretical adventures as well as numerous exciting applications. The CVBEM is a numerical application of the Cauchy Integral theorem (well-known to students of complex variables) to two-dimensional potential problems involving the Laplace or Poisson equations. Because the numerical application is analytic, the approximation exactly solves the Laplace equation. This attribute of the CVBEM is a distinct advantage over other numerical techniques that develop only an inexact approximation of the Laplace equation. In this book, several of the advances in CVBEM technology, that have evolved since 1983, are assembled according to primary topics including theoretical developments, applications, and CVBEM modeling error analysis. The book is self-contained on a chapter basis so that the reader can go to the chapter of interest rather than necessarily reading the entire prior material. Most of the applications presented in this book are based on the computer programs listed in the prior CVBEM book published by Springer-Verlag (Hromadka and Lai, 1987) and so are not republished here.

Handbook Of Complex Analysis

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Author : Reiner Kuhnau
language : en
Publisher: Elsevier
Release Date : 2004-12-09

Handbook Of Complex Analysis written by Reiner Kuhnau and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-12-09 with Mathematics categories.

Geometric Function Theory is that part of Complex Analysis which covers the theory of conformal and quasiconformal mappings. Beginning with the classical Riemann mapping theorem, there is a lot of existence theorems for canonical conformal mappings. On the other side there is an extensive theory of qualitative properties of conformal and quasiconformal mappings, concerning mainly a prior estimates, so called distortion theorems (including the Bieberbach conjecture with the proof of the Branges). Here a starting point was the classical Scharz lemma, and then Koebe's distortion theorem. There are several connections to mathematical physics, because of the relations to potential theory (in the plane). The Handbook of Geometric Function Theory contains also an article about constructive methods and further a Bibliography including applications eg: to electroxtatic problems, heat conduction, potential flows (in the plane). · A collection of independent survey articles in the field of GeometricFunction Theory · Existence theorems and qualitative properties of conformal and quasiconformal mappings · A bibliography, including many hints to applications in electrostatics, heat conduction, potential flows (in the plane).

Applications Of Complex Variables

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Author : Foluso Ladeinde
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2024-05-06

Applications Of Complex Variables written by Foluso Ladeinde and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-05-06 with Mathematics categories.

The subject of applied complex variables is so fundamental that most of the other topics in advanced engineering mathematics (AEM) depend on it. The present book contains complete coverage of the subject, summarizing the more elementary aspects that you find in most AEM textbooks and delving into the more specialized topics that are less commonplace. The book represents a one-stop reference for complex variables in engineering analysis. The applications of conformal mapping in this book are significantly more extensive than in other AEM textbooks. The treatments of complex integral transforms enable a much larger class of functions that can be transformed, resulting in an expanded use of complex-transform techniques in engineering analysis. The inclusion of the asymptotics of complex integrals enables the analysis of models with irregular singular points. The book, which has more than 300 illustrations, is generous with realistic example problems.