[PDF] Integration With Complex Numbers - eBooks Review

Integration With Complex Numbers


Integration With Complex Numbers
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Integration With Complex Numbers


Integration With Complex Numbers
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Author : Aisling McCluskey
language : en
Publisher: Oxford University Press
Release Date : 2022

Integration With Complex Numbers written by Aisling McCluskey and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022 with Functions of complex variables categories.


Complex analysis, more than almost any other undergraduate topic in mathematics, runs the full pure/applied gamut from the most subtle, difficult, and ingenious proofs to the most direct, hands-on, engineering-based applications. This creates challenges for the instructor as much as for the very wide range of students whose various programmes require a secure grasp of complex analysis. Its techniques are indispensable to many, but skill in the use of a mathematical tool is hazardous and fallible without a sound understanding of why and when that tool is the right one to pick up. This kind of understanding develops only by combining careful exploration of ideas, analysis of proofs, and practice across a range of exercises. Integration with Complex Numbers: A Primer on Complex Analysis offers a reader-friendly contemporary balance between idea, proof, and practice, informed by several decades of classroom experience and a seasoned understanding of the backgrounds, motivation, and competing time pressures of today's student cohorts. To achieve its aim of supporting and sustaining such cohorts through those aspects of complex analysis that they encounter in first and second-year study, it also balances competing needs to be self-contained, comprehensive, accessible, and engaging - all in sufficient but not in excessive measures. In particular, it begins where most students are likely to be, and invests the time and effort that are required in order to deliver accessibility and introductory gradualness.



Calculus With Complex Numbers


Calculus With Complex Numbers
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Author : John B. Reade
language : en
Publisher: CRC Press
Release Date : 2003-03-13

Calculus With Complex Numbers written by John B. Reade and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-03-13 with Mathematics categories.


This practical treatment explains the applications complex calculus without requiring the rigor of a real analysis background. The author explores algebraic and geometric aspects of complex numbers, differentiation, contour integration, finite and infinite real integrals, summation of series, and the fundamental theorem of algebra. The Residue Theorem for evaluating complex integrals is presented in a straightforward way, laying the groundwork for further study. A working knowledge of real calculus and familiarity with complex numbers is assumed. This book is useful for graduate students in calculus and undergraduate students of applied mathematics, physical science, and engineering.



Lectures On Complex Integration


Lectures On Complex Integration
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Author : A. O. Gogolin
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-10-22

Lectures On Complex Integration written by A. O. Gogolin 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 2013-10-22 with Science categories.


The theory of complex functions is a strikingly beautiful and powerful area of mathematics. Some particularly fascinating examples are seemingly complicated integrals which are effortlessly computed after reshaping them into integrals along contours, as well as apparently difficult differential and integral equations, which can be elegantly solved using similar methods. To use them is sometimes routine but in many cases it borders on an art. The goal of the book is to introduce the reader to this beautiful area of mathematics and to teach him or her how to use these methods to solve a variety of problems ranging from computation of integrals to solving difficult integral equations. This is done with a help of numerous examples and problems with detailed solutions.



Fundamentals And Applications Of Complex Analysis


Fundamentals And Applications Of Complex Analysis
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Author : Harold Cohen
language : en
Publisher: Springer Science & Business Media
Release Date : 2003-07-31

Fundamentals And Applications Of Complex Analysis written by Harold Cohen 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 2003-07-31 with Mathematics categories.


This book is intended to serve as a text for first and second year courses in single variable complex analysis. The material that is appropriate for more advanced study is developed from elementary material. The concepts are illustrated with large numbers of examples, many of which involve problems students encounter in other courses. For example, students who have taken an introductory physics course will have encountered analysis of simple AC circuits. This text revisits such analysis using complex numbers. Cauchy's residue theorem is used to evaluate many types of definite integrals that students are introduced to in the beginning calculus sequence. Methods of conformal mapping are used to solve problems in electrostatics. The book contains material that is not considered in other popular complex analysis texts.



Integration With Complex Numbers


Integration With Complex Numbers
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Author : Brian McMaster
language : en
Publisher: Oxford University Press
Release Date : 2022-05-02

Integration With Complex Numbers written by Brian McMaster and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-05-02 with Mathematics categories.


Complex analysis, more than almost any other undergraduate topic in mathematics, runs the full pure/applied gamut from the most subtle, difficult, and ingenious proofs to the most direct, hands-on, engineering-based applications. This creates challenges for the instructor as much as for the very wide range of students whose various programmes require a secure grasp of complex analysis. Its techniques are indispensable to many, but skill in the use of a mathematical tool is hazardous and fallible without a sound understanding of why and when that tool is the right one to pick up. This kind of understanding develops only by combining careful exploration of ideas, analysis of proofs, and practice across a range of exercises. Integration with Complex Numbers: A Primer on Complex Analysis offers a reader-friendly contemporary balance between idea, proof, and practice, informed by several decades of classroom experience and a seasoned understanding of the backgrounds, motivation, and competing time pressures of today's student cohorts. To achieve its aim of supporting and sustaining such cohorts through those aspects of complex analysis that they encounter in first and second-year study, it also balances competing needs to be self-contained, comprehensive, accessible, and engaging - all in sufficient but not in excessive measures. In particular, it begins where most students are likely to be, and invests the time and effort that are required in order to deliver accessibility and introductory gradualness.



Lectures On Complex Integration


Lectures On Complex Integration
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Author : Alexander O. Gogolin
language : en
Publisher:
Release Date : 2013-11-30

Lectures On Complex Integration written by Alexander O. Gogolin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-30 with categories.




Complex Analysis For Mathematics And Engineering


Complex Analysis For Mathematics And Engineering
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Author : John H. Mathews
language : en
Publisher: Jones & Bartlett Learning
Release Date : 2001

Complex Analysis For Mathematics And Engineering written by John H. Mathews and has been published by Jones & Bartlett Learning this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Computers categories.


Complex Analysis for Mathematics and Engineering strikes a balance between the pure and applied aspects of complex analysis, and presents concepts using a clear writing style. Believing that mathemati



Fundamentals Of Complex Analysis


Fundamentals Of Complex Analysis
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Author : K. K. Dube
language : en
Publisher: I. K. International Pvt Ltd
Release Date : 2013-12-30

Fundamentals Of Complex Analysis written by K. K. Dube and has been published by I. K. International Pvt Ltd this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-30 with Calculus categories.


The book divided in ten chapters deals with: " Algebra of complex numbers and its various geometrical properties, properties of polar form of complex numbers and regions in the complex plane. " Limit, continuity, differentiability. " Different kinds of complex valued functions. " Different types of transformations. " Conformal mappings of different functions. " Properties of bilinear and special bilinear transformation. " Line integrals, their properties and different theorems. " Sequences and series, Power series, Zero s of functions, residues and residue theorem, meromorphic functions, different kinds of singularities. " Evaluation of real integrals. " Analytic continuation, construction of harmonic functions, infinite product, their properties and Gamma function. " Schwarz-Christoffel transformations, mapping by multi valued functions, entire functions. " Jenson s theorem and Poisson-Jenson theorem. The book is designed as a textbook for UG and PG students of science as well as engineering



Applied Complex Variables For Scientists And Engineers


Applied Complex Variables For Scientists And Engineers
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Author : Yue Kuen Kwok
language : en
Publisher: Cambridge University Press
Release Date : 2002-02-07

Applied Complex Variables For Scientists And Engineers written by Yue Kuen Kwok and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-02-07 with Mathematics categories.


This is an introduction to complex variable methods for scientists and engineers. It begins by carefully defining complex numbers and analytic functions, and proceeds to give accounts of complex integration, Taylor series, singularities, residues and mappings. Both algebraic and geometric tools are employed to provide the greatest understanding, with many diagrams illustrating the concepts introduced. The emphasis is laid on understanding the use of methods, rather than on rigorous proofs. One feature that will appeal to scientists is the high proportion of the book devoted to applications of the material to physical problems. These include detailed treatments of potential theory, hydrodynamics, electrostatics, gravitation and the uses of the Laplace transform for partial differential equations. The text contains some 300 stimulating exercises of high quality, with solutions given to many of them. It will be highly suitable for students wishing to learn the elements of complex analysis in an applied context.



Complex Analysis


Complex Analysis
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Author : Duraipandian P. & Pachaiyappa Kayalal
language : en
Publisher: S. Chand Publishing
Release Date : 2014

Complex Analysis written by Duraipandian P. & Pachaiyappa Kayalal 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 2014 with Mathematics categories.


Complex Number System 1–7 2. Complex Plane 8–26 3. Sets Of Complex Points 27–32 4. Analytic Functions 33–60 5. Sequences And Series 61–70 6. Power Series And Elementary Functions 71–101 7. Elementary And Conformal Mappings 102–137 8. Complex Integration 138–188 9. Taylor’S And Laurent’S Series 189–233 10. Residues 234–278 11. Meromorphic Functions 279–288