Complex Analysis For Practical Engineering

Author : Kozo Sato
Publisher : Springer
Page : 309 pages
File Size : 49,5 Mb
Release : 2015-03-02
Category : Technology & Engineering
ISBN : 9783319130637

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Complex Analysis for Practical Engineering by Kozo Sato Pdf

Maximizing reader insights into the fundamentals of complex analysis, and providing complete instructions on how to construct and use mathematical tools to solve engineering problems in potential theory, this book covers complex analysis in the context of potential flow problems. The basic concepts and methodologies covered are easily extended to other problems of potential theory. Featuring case studies and problems that aid readers understanding of the key topics and of their application to practical engineering problems, this book is suitable as a guide for engineering practitioners. The complex analysis problems discussed in this book will prove useful in solving practical problems in a variety of engineering disciplines, including flow dynamics, electrostatics, heat conduction and gravity fields.

Author : E. B. Saff
Publisher : Unknown
Page : 511 pages
File Size : 47,8 Mb
Release : 2003
Category : Electronic
ISBN : 013017968X

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Fundamentals of Complex Analysis for Mathematics, Science, and Engineering by E. B. Saff Pdf

Author : Theodore V. Hromadka,Chintu Lai
Publisher : Springer Science & Business Media
Page : 397 pages
File Size : 51,6 Mb
Release : 2012-12-06
Category : Medical
ISBN : 9781461246602

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The Complex Variable Boundary Element Method in Engineering Analysis by Theodore V. Hromadka,Chintu Lai Pdf

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.

Author : Dennis G. Zill,Patrick D. Shanahan
Publisher : Jones & Bartlett Publishers
Page : 453 pages
File Size : 45,5 Mb
Release : 2013-09-20
Category : Mathematics
ISBN : 9781449694623

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Complex Analysis by Dennis G. Zill,Patrick D. Shanahan Pdf

Designed for the undergraduate student with a calculus background but no prior experience with complex analysis, this text discusses the theory of the most relevant mathematical topics in a student-friendly manner. With a clear and straightforward writing style, concepts are introduced through numerous examples, illustrations, and applications. Each section of the text contains an extensive exercise set containing a range of computational, conceptual, and geometric problems. In the text and exercises, students are guided and supported through numerous proofs providing them with a higher level of mathematical insight and maturity. Each chapter contains a separate section devoted exclusively to the applications of complex analysis to science and engineering, providing students with the opportunity to develop a practical and clear understanding of complex analysis. The Mathematica syntax from the second edition has been updated to coincide with version 8 of the software. --

Author : Tristan Needham
Publisher : Oxford University Press
Page : 620 pages
File Size : 54,7 Mb
Release : 1997
Category : Mathematics
ISBN : 0198534469

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Visual Complex Analysis by Tristan Needham Pdf

This radical first course on complex analysis brings a beautiful and powerful subject to life by consistently using geometry (not calculation) as the means of explanation. Aimed at undergraduate students in mathematics, physics, and engineering, the book's intuitive explanations, lack of advanced prerequisites, and consciously user-friendly prose style will help students to master the subject more readily than was previously possible. The key to this is the book's use of new geometric arguments in place of the standard calculational ones. These geometric arguments are communicated with the aid of hundreds of diagrams of a standard seldom encountered in mathematical works. A new approach to a classical topic, this work will be of interest to students in mathematics, physics, and engineering, as well as to professionals in these fields.

Author : Saminathan Ponnusamy,Herb Silverman
Publisher : Springer Science & Business Media
Page : 521 pages
File Size : 54,7 Mb
Release : 2007-05-26
Category : Mathematics
ISBN : 9780817645137

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Complex Variables with Applications by Saminathan Ponnusamy,Herb Silverman Pdf

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

Author : Hiroyuki Shima,Tsuneyoshi Nakayama
Publisher : Springer Science & Business Media
Page : 693 pages
File Size : 41,9 Mb
Release : 2010-04-12
Category : Science
ISBN : 9783540878643

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Higher Mathematics for Physics and Engineering by Hiroyuki Shima,Tsuneyoshi Nakayama Pdf

Due to the rapid expansion of the frontiers of physics and engineering, the demand for higher-level mathematics is increasing yearly. This book is designed to provide accessible knowledge of higher-level mathematics demanded in contemporary physics and engineering. Rigorous mathematical structures of important subjects in these fields are fully covered, which will be helpful for readers to become acquainted with certain abstract mathematical concepts. The selected topics are: - Real analysis, Complex analysis, Functional analysis, Lebesgue integration theory, Fourier analysis, Laplace analysis, Wavelet analysis, Differential equations, and Tensor analysis. This book is essentially self-contained, and assumes only standard undergraduate preparation such as elementary calculus and linear algebra. It is thus well suited for graduate students in physics and engineering who are interested in theoretical backgrounds of their own fields. Further, it will also be useful for mathematics students who want to understand how certain abstract concepts in mathematics are applied in a practical situation. The readers will not only acquire basic knowledge toward higher-level mathematics, but also imbibe mathematical skills necessary for contemporary studies of their own fields.

Author : S. K. Sharma
Publisher : New Age International
Page : 182 pages
File Size : 46,7 Mb
Release : 2000
Category : Electronic
ISBN : 8122412408

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Complex Analytic Functions:Theory and Applications by S. K. Sharma Pdf

In A Simple And Interesting Style, This Book Explains The Various Concepts In Complex Analysis And Illustrates Them Through Practical Applications. Starting With A Definition Of The Properties Of A Complex Number, The Book Goes On To Explain Complex Variables And Conformal Mapping. It Then Presents An Exhaustive Description Of Schwarz -Christoffel Transformation Which Is Followed By A Discussion Of Complex Integration And Singularities And Residues.The Book Explains Both Simple And Sophisticated Applications. In The Former Category Are Mechanical Vibrating Systems, Electric Circuits Etc., While In The Latter Category Are Problems In The Theory Of Heat, Fluid Mechanics, Electrostatics, Dam Designs Etc.With Its Rich And Lively Discussion Of An Important Mathematical Method, This Book Would Be Extremely Useful For Both Science And Engineering Students. Researchers And Practising Engineers Would Also Find It A Valuable Reference Source.

Author : John D. Paliouras,Douglas S. Meadows
Publisher : Courier Corporation
Page : 612 pages
File Size : 48,7 Mb
Release : 2014-02-20
Category : Mathematics
ISBN : 9780486493473

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Complex Variables for Scientists and Engineers by John D. Paliouras,Douglas S. Meadows Pdf

Outstanding undergraduate text provides a thorough understanding of fundamentals and creates the basis for higher-level courses. Numerous examples and extensive exercise sections of varying difficulty, plus answers to selected exercises. 1990 edition.

Author : Vemuri Balakotaiah,Ram R. Ratnakar
Publisher : Walter de Gruyter GmbH & Co KG
Page : 541 pages
File Size : 45,9 Mb
Release : 2022-12-31
Category : Technology & Engineering
ISBN : 9783110739787

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Applied Linear Analysis for Chemical Engineers by Vemuri Balakotaiah,Ram R. Ratnakar Pdf

This textbook gives a unified treatment of the solution of various linear equations that arise in science and engineering with examples. It is based on a course taught by the first author for over thirty years. Some unique features include: Use of symbolic software for illustrating and enhancing the impact of physical parameter changes on solutions. Multi-scale analysis of engineering problems with physical interpretation of time and length scales in terms of eigenvalues and eigenvectors/eigenfunctions. Discussion of compartment models for various finite dimensional problems. Evaluation and illustration of functions of matrices (and use of symbolic manipulation) to solve multi-component diffusion-convection-reaction problems. Illustration of the techniques and interpretation of solutions to several classical engineering problems. Emphasis on the connection between discrete (matrix algebra) and continuum. Physical interpretation of adjoint operator and adjoint systems. Use of complex analysis and algebra in the solution of practical engineering problems.

Author : H. S. KASANA
Publisher : PHI Learning Pvt. Ltd.
Page : 510 pages
File Size : 41,8 Mb
Release : 2005-01-01
Category : Mathematics
ISBN : 8120326415

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COMPLEX VARIABLES by H. S. KASANA Pdf

The second edition of this comprehensive and accessible text continues to offer students a challenging and enjoyable study of complex variables that is infused with perfect balanced coverage of mathematical theory and applied topics. The author explains fundamental concepts and techniques with precision and introduces the students to complex variable theory through conceptual develop-ment of analysis that enables them to develop a thorough understanding of the topics discussed. Geometric interpretation of the results, wherever necessary, has been inducted for making the analysis more accessible. The level of the text assumes that the reader is acquainted with elementary real analysis. Beginning with the revision of the algebra of complex variables, the book moves on to deal with analytic functions, elementary functions, complex integration, sequences, series and infinite products, series expansions, singularities and residues. The application-oriented chapters on sums and integrals, conformal mappings, Laplace transform, and some special topics, provide a practical-use perspective. Enriched with many numerical examples and exercises designed to test the student's comprehension of the topics covered, this book is written for a one-semester course in complex variables for students in the science and engineering disciplines.

Author : Vemuri Balakotaiah,Ram R. Ratnakar
Publisher : Walter de Gruyter GmbH & Co KG
Page : 784 pages
File Size : 40,6 Mb
Release : 2022-12-31
Category : Technology & Engineering
ISBN : 9783110739701

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Applied Linear Analysis for Chemical Engineers by Vemuri Balakotaiah,Ram R. Ratnakar Pdf

The book details mathematical techniques for chemical and other engineers. Many practical examples encountered by chemical (and other) engineers, modern approach involving multiple length and time scales, use of symbolic software (such as Mathematica) and combination of analytical methods with graphics are included. It may be used by graduate chemical (and other) engineering students as well as industrial practitioners and possibly specialists.

Author : Zhiping Shi,Yong Guan,Ximeng Li
Publisher : Springer Nature
Page : 172 pages
File Size : 51,9 Mb
Release : 2020-08-10
Category : Mathematics
ISBN : 9789811572616

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Formalization of Complex Analysis and Matrix Theory by Zhiping Shi,Yong Guan,Ximeng Li Pdf

This book discusses the formalization of mathematical theories centering on complex analysis and matrix theory, covering topics such as algebraic systems, complex numbers, gauge integration, the Fourier transformation and its discrete counterpart, matrices and their transformation, inner product spaces, and function matrices. The formalization is performed using the interactive theorem prover HOL4, chiefly developed at the University of Cambridge. Many of the developments presented are now integral parts of the library of this prover. As mathematical developments continue to gain in complexity, sometimes demanding proofs of enormous sizes, formalization has proven to be invaluable in terms of obtaining real confidence in their correctness. This book provides a basis for the computer-aided verification of engineering systems constructed using the principles of complex analysis and matrix theory, as well as building blocks for the formalization of more involved mathematical theories.

Author : Richard A. Silverman
Publisher : Courier Corporation
Page : 402 pages
File Size : 52,7 Mb
Release : 1984-05-01
Category : Mathematics
ISBN : 9780486646862

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Introductory Complex Analysis by Richard A. Silverman Pdf

A shorter version of A. I. Markushevich's masterly three-volume Theory of Functions of a Complex Variable, this edition is appropriate for advanced undergraduate and graduate courses in complex analysis. Numerous worked-out examples and more than 300 problems, some with hints and answers, make it suitable for independent study. 1967 edition.

Author : Qiuliang Wang
Publisher : John Wiley & Sons
Page : 484 pages
File Size : 52,6 Mb
Release : 2013-04-02
Category : Science
ISBN : 9781118398173

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Practical Design of Magnetostatic Structure Using Numerical Simulation by Qiuliang Wang Pdf

Magnets are widely used in industry, medical, scientific instruments, and electrical equipment. They are the basic tools for scientific research and electromagnetic devices. Numerical methods for the magnetic field analysis combined with mathematical optimization from practical applications of the magnets have been widely studied in recent years. It is necessary for professional researchers, engineers, and students to study these numerical methods for the complex magnet structure design instead of using traditional "trial-and-error" methods. Those working in this field will find this book useful as a reference to help reduce costs and obtain good magnetic field quality. Presents a clear introduction to magnet technology, followed by basic theories, numerical analysis, and practical applications Emphasizes the latest developments in magnet design, including MRI systems Provides comprehensive numerical techniques that provide solutions to practical problems Introduces the latest computation techniques for optimizing and characterizing the magnetostatic structure design Well organized and adaptable by researchers, engineers, lecturers, and students Appendix available on the Wiley Companion Website As a comprehensive treatment of the topic, Practical Design of Magnetostatic Structure Using Numerical Simulation is ideal for researchers in the field of magnets and their applications, materials scientists, structural engineers, and graduate students in electrical engineering. The book will also better equip mechanical engineers and aerospace engineers.