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Author: Dr. T.K.V. Iyengar, Dr. M.V.S.S.N. PRASAD, S. RANGANATHAM & DR. B. KRISHNA GANDHI
Publisher: S. Chand Publishing
ISBN: 9355011776
Category :
Languages : en
Pages : 944
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Book Description
"Complex Variables and Transforms" is written strictly according to the revised syllabus (R20) of 2nd year (First Semester) B. Tech (ECE, EEE and Mechanical) students of Jawaharlal Nehru Technological University, Anantapur. It covers Analytic Functions, Complex Functions, Conformal Mapping, Cauchy-Riemann equations, Fourier Series, and Transform with Previous GATE Questions at the end of every chapter for the benefit of the students.
Author: Dr. T.K.V. Iyengar, Dr. M.V.S.S.N. PRASAD, S. RANGANATHAM & DR. B. KRISHNA GANDHI
Publisher: S. Chand Publishing
ISBN: 9355011776
Category :
Languages : en
Pages : 944
Get Book Here
Book Description
"Complex Variables and Transforms" is written strictly according to the revised syllabus (R20) of 2nd year (First Semester) B. Tech (ECE, EEE and Mechanical) students of Jawaharlal Nehru Technological University, Anantapur. It covers Analytic Functions, Complex Functions, Conformal Mapping, Cauchy-Riemann equations, Fourier Series, and Transform with Previous GATE Questions at the end of every chapter for the benefit of the students.
Author: Matiur Rahman
Publisher: Southhampton, UK : Computational Mechanics Publications
ISBN:
Category : Mathematics
Languages : en
Pages : 352
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Book Description
Based on a series of lectures given by the author this text is designed for undergraduate students with an understanding of vector calculus, solution techniques of ordinary and partial differential equations and elementary knowledge of integral transforms. It will also be an invaluable reference to scientists and engineers who need to know the basic mathematical development of the theory of complex variables in order to solve field problems. The theorems given are well illustrated with examples.
Author: Iyenger T.K.V./ Gandhi, Krishna B./ Ranganatham S. & Prasad M.V.S.S.N.
Publisher: S. Chand Publishing
ISBN: 8121936586
Category : Mathematics
Languages : en
Pages :
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Book Description
Unit I 1. Real And Complex Matrices And Linear System Of Equations 2. Eigen Values And Eigen Vectors 3. Quadratic Forms Unit Ii 4. Solution Of Algebraic And Transcendental Equations 5. Interpolation 6. Curve Fitting Unit Iii 7. Numerical Differentiation And Integration 8. Numerical Solution Of Ordinary Differential Equations Unit Iv 9. Fourier Series 10. Fourier Transforms Unit V 11. Partial Differential Equations
Author: Yue Kuen Kwok
Publisher: Cambridge University Press
ISBN: 9780521004626
Category : Mathematics
Languages : en
Pages : 410
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Book Description
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.
Author: Shahnaz Bathul
Publisher: PHI Learning Pvt. Ltd.
ISBN: 8120351002
Category :
Languages : en
Pages : 586
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Book Description
This thoroughly revised book, now in its third edition, continues to discuss two important topics—special functions and complex variables. Chapters have been rearranged keeping in view the current syllabi of the universities. The book analyzes special functions, Legendre’s equation and function, and Bessel’s function. It explains how to solve Cauchy equations, differential equation with variable coefficients and Frobenius of solving differential equation at a regular singular point. Besides, the text also explains the notions of limit, continuity and differentiability by giving a thorough grounding on analytic functions and their relations with harmonic functions. In addition, the book introduces the exponential function of a complex variable, and with the help of this function, defines trigonometric and hyperbolic functions and explains their properties. While discussing different mathematical concepts, the book discusses a number of theorems such as Cauchy’s integral theorem for the integration of a complex variable, Taylor’s theorem for the analysis of complex power series, the residue theorem for evaluation of residues, the argument principle and Rouche’s theorem for the determination of the number of zeroes of complex polynomials. Finally, the book gives a thorough exposition of conformal mappings and develops the theory of bilinear transformation.
Author: Steven G. Krantz
Publisher: CRC Press
ISBN: 1584885807
Category : Mathematics
Languages : en
Pages : 443
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Book Description
From the algebraic properties of a complete number field, to the analytic properties imposed by the Cauchy integral formula, to the geometric qualities originating from conformality, Complex Variables: A Physical Approach with Applications and MATLAB explores all facets of this subject, with particular emphasis on using theory in practice. The first five chapters encompass the core material of the book. These chapters cover fundamental concepts, holomorphic and harmonic functions, Cauchy theory and its applications, and isolated singularities. Subsequent chapters discuss the argument principle, geometric theory, and conformal mapping, followed by a more advanced discussion of harmonic functions. The author also presents a detailed glimpse of how complex variables are used in the real world, with chapters on Fourier and Laplace transforms as well as partial differential equations and boundary value problems. The final chapter explores computer tools, including Mathematica®, MapleTM, and MATLAB®, that can be employed to study complex variables. Each chapter contains physical applications drawing from the areas of physics and engineering. Offering new directions for further learning, this text provides modern students with a powerful toolkit for future work in the mathematical sciences.
Author: T. K. V. Iyengar, B. Krishna Gandhi, S. Ranganatham & M.V.S.S.N. Prasad
Publisher: S. Chand Publishing
ISBN: 9352838211
Category : Science
Languages : en
Pages :
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Book Description
Laplace Transforms, Numerical Methods & Complex Variables
Author: Anthony D. Osborne
Publisher: Addison Wesley
ISBN:
Category : Mathematics
Languages : en
Pages : 472
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Book Description
An understanding of functions of a complex variable, together with the importance of their applications, form an essential part of the study of mathematics. Complex Variables and their Applications assumes as little background knowledge of the reader as is practically possible, a sound knowledge of calculus and basic real analysis being the only essential pre-requisites. With an emphasis on clear and careful explanation, the book covers all the essential topics covered in a first course on Complex Variables, such as differentiation, integration and applications, Laurent series, residue theory and applications, and elementary conformal mappings. The reader is also introduced to the Schwarz-Christoffel transformation, Dirchlet problems, harmonic functions, analytic continuation, infinite products, asymptotic series and elliptic functions. Applications of complex variable theory to linear ordinary differential equations and integral transforms are also included. Complex Variables and their Applications is an ideal textbook and resource for second and final year students of mathematics, engineering and physics.
Author: Mark J. Ablowitz
Publisher: Cambridge University Press
ISBN: 110896334X
Category : Mathematics
Languages : en
Pages : 422
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Book Description
The study of complex variables is beautiful from a purely mathematical point of view, and very useful for solving a wide array of problems arising in applications. This introduction to complex variables, suitable as a text for a one-semester course, has been written for undergraduate students in applied mathematics, science, and engineering. Based on the authors' extensive teaching experience, it covers topics of keen interest to these students, including ordinary differential equations, as well as Fourier and Laplace transform methods for solving partial differential equations arising in physical applications. Many worked examples, applications, and exercises are included. With this foundation, students can progress beyond the standard course and explore a range of additional topics, including generalized Cauchy theorem, Painlevé equations, computational methods, and conformal mapping with circular arcs. Advanced topics are labeled with an asterisk and can be included in the syllabus or form the basis for challenging student projects.
Author: A. K. Kapoor
Publisher: World Scientific
ISBN: 9814313521
Category : Mathematics
Languages : en
Pages : 522
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Book Description
This textbook introduces the theory of complex variables at undergraduate level. A good collection of problems is provided in the second part of the book. The book is written in a user-friendly style that presents important fundamentals a beginner needs to master the technical details of the subject. Similarly, teachers can also adopt the text for a course on complex variables and for mining problems. The organization of problems into focused sets is an important feature of the book.
