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Download Complex Variables: Introduction and Applications (Cambridge Texts in Applied Mathematics) ePub

by Athanssios S. Fokas,Mark J. Ablowitz

Download Complex Variables: Introduction and Applications (Cambridge Texts in Applied Mathematics) ePub
  • ISBN 0521485231
  • ISBN13 978-0521485234
  • Language English
  • Author Athanssios S. Fokas,Mark J. Ablowitz
  • Publisher Cambridge University Press (February 13, 1997)
  • Pages 664
  • Formats doc docx mobi lit
  • Category Math
  • Subcategory Mathematics
  • Size ePub 1303 kb
  • Size Fb2 1664 kb
  • Rating: 4.7
  • Votes: 362

In addition to being mathematically elegant, complex variables provide a powerful tool for solving problems that are either very difficult or virtually impossible to solve in any other way. Part I of this text provides an introduction to the subject, including analytic functions, integration, series, and residue calculus and also includes transform methods, ODEs in the complex plane, numerical methods and more. Part II contains conformal mappings, asymptotic expansions, and the study of Riemann-Hilbert problems. The authors also provide an extensive array of applications, illustrative examples and homework exercises. This book is ideal for use in introductory undergraduate and graduate level courses in complex variables.

Complex Variables: Introduction and Applications (Cambridge Texts in Applied Mathematics). Mark J. Ablowitz, Athanassios S. Fokas, Скачать (pdf, . 7 Mb).

Complex Variables: Introduction and Applications (Cambridge Texts in Applied Mathematics).

Complex Variables: Introduction and Applications Mark J. Ablowitz and Athanssios S. Fokas. Complex Numbers and Their Properties In this text we use Euler’s notation for the imaginary unit number

Complex Variables: Introduction and Applications Mark J. Complex Variables Introduction and Applications. University of Colorado, Boulder. Athanassios s. University of Cambridge. Cambridge, New York, Melbourne, Madrid, Cape Town, Singapore, São Paulo. Complex Numbers and Their Properties In this text we use Euler’s notation for the imaginary unit number: i 2 −1. (. Fokas, Download (pdf, . 7 Mb) Donate Read. Epub FB2 mobi txt RTF. Converted file can differ from the original. If possible, download the file in its original format.

Items related to Complex Variables: Introduction and Applications Second. ISBN 13: 9780521534291. Part I is an introduction to the subject, including residue calculus and transform methods. Part II advances to conformal mappings, and the study of Riemann-Hilbert problems. An extensive array of examples and exercises are included.

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Complex Variables: Introduction and Applications (Cambridge Texts in Applied Mathematics) is ready for immediate shipment to any location. This is a brand new book at a great price. Author Mark Ablowitz. Publication Year 2003. Publisher Cambridge University Press.

Complex Variables book. Start by marking Complex Variables: Introduction and Applications (Cambridge Texts in Applied Mathematics) as Want to Read: Want to Read savin. ant to Read. Complex variables provide powerful methods for attacking problems.

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Complex variables offer very efficient methods for attacking many difficult problems, and it is the aim of this book . Complex Variables : Introduction and Applications. by Athanssios S. Fokas and Mark J. Ablowitz.

Complex Variables : Introduction and Applications.

Complex Variables : Introduction and Applications (Cambridge Texts . Solitons : An Introduction (Cambridge Texts in Applied Mathematics).

Complex Variables : Introduction and Applications (Cambridge Texts in Applied Mathematics). Ablowitz、Athanassios S. Fokas, Cambridge University Press, 2003-04-28, USD 7. 0. 少于10人评价) Finite Volume Methods for Hyperbolic Problems (Cambridge Texts in Applied Mathematics). S. Johnson, Cambridge University Press, 1989-03-31, USD 5.

Talk about Complex Variables: Introduction and Applications (Cambridge Texts in Applied Mathematics)


Bradeya
A solid book which covers the essential introductory topics in an accessible manner. The problem sets are well designed and provide ample practice. The authors match a good balance of examples and theory with an appropriate amount of English explanation. The typos are not overly intrusive and the authors have a list of known errata which is easily accessible. I would recommend checking out the errata before reading and making the correct notations in your text, some of the mistakes listed have already been fixed in my edition.

Not as authoritative as Alfors or Rudin, but certainly more readable. A good stepping stone book leading into those two.
Anyshoun
If there is one book that you have to have on the subject of complex variables, this is it. It gets right into the meat of things and doesn't slack up until the end.
Buridora
A concise reference book.
Def. not a first course textbook.
Cerar
cheap Caltech text books. thanks
Steel balls
Good book on complex variables.
happy light
If you enjoy this stuff you must be a genius our a sadist. They told me once I was a genius, this book made me realize mechanical engineering isn't for the smart kids. Avoid the elective. I got a B and still have nightmares.
Dilkree
A very good text!
The best description of this book is that it provides a comprehensive, classical treatment of the subject with a modern touch and serves ideally the needs of anyone studying Complex Analysis.
Starting from the foundations of defining a complex number, through to applications in the evaluation of integrals, the WKB method, Fourier transforms and Riemann-Hilbert problems, the book covers a lot of ground in an easy to follow style. The chapters are long, but logically broken down into digestible sections and interspersed with well illustrated diagrams, numerous worked examples and exercises. The end of chapter exercises provide further opportunity for reinforcing the methods and there's a useful section at the end giving brief hints and answers to selected problems.
Complex Variable analysis is treated from the definition of an analytic function and its relation to the Cauchy-Riemann equations, and in turn their application to an ideal fluid flow. The ideas of multi-valued functions, complex integration, and Cauchy's theorem are excellently treated, as are the consequences: the generalised Cauchy integral formula, the Max-Mod principle, and Liouiville and Morera's theorems.
The rest of the first part of this book, which is essentially pure mathematics, deals with Laurent series, singularities, analytic continuation, the Mittag-Leffler theorem, the ALL IMPORTANT Cauchy Residue Theorem, dealing with branch points, Rouche's theorem, and their application to Fourier transforms.
The second half starts off with perhaps the best I have seen on Conformal Mappings and their application to physical problems in Fluid Mechanics and Electromagnetism. Asymptotic evaluation of integrals covers methods like Watson's lemma, the method of steepest descent, and the WKB method.
A good combination of pure and applied mathematics, though the book avoids either the rigour of classical works such as Whittaker and Watson or the marvellously visual presentation of Tristan Needham.
Highly recommended!
Whether you are a student, or just in need of a good reference text, Mark J. Ablowitz' and Athanassios Fokas' book belongs in your library. Complex Variables, Introduction and Applications is refreshingly well written. In clear and logical flow, the authors present the subject of complex variables in an easy-to-understand, yet complete format suitable for both students and practicing professionals.
This text offers a broad coverage of the subject, from fundamental properties of complex numbers, analytic functions, and singularities to more advanced topics such as conformal mapping and Riemann-Hilbert problems. Although individuals interested in pure mathematics may find some of the proofs insufficiently rigorous, those using the book as a reference for engineering or scientific problems may find the text too rigid. Overall, however, the authors have done an excellent job balancing the subject matter and successfully achieving their goal of, when necessary, "sacrificing a rigorous axiomatic development with a logical development based upon suitable assumptions."
Although the mathematical development of the text is clear, concise, and easy to follow, many of the applied examples, such as those for uniform flow in section 2.1, would benefit from further physical insight. Individuals already familiar with physics will have no difficulty following many of the examples, and extending them to other situations. Those less grounded in the physical sciences, however, may find the starting equations for some of the examples to be less than intuitive. Though additional explanations would increase the book's already substantial heft, the change would benefit many readers.
It is a joy to read a well-written technical book with almost no typographical or technical errors. Except for minor (and easily recognizable) typographical errors such as that in equation 2.2.12b, the book is nearly flawless. This leaves the student free to concentrate on learning the material unencumbered by worries about the text's accuracy.
The index is nicely composed, complete, and accurate. This makes the book particularly useful as a reference. Typically, the reader will have little trouble using the index to go directly to the pages of most interest and applicability regarding the subject of inquiry. It would be nice to see a more complete bibliography, as well as a summary of common symbols. Especially useful would be a summary of some of the more important equations (such as Green's theorem, Cauchy's theorem, the Fourier transform, the Helmholtz equation, etc.) derived or demonstrated in the book. A list of important equations, particularly, would improve the book's utilization as a desk reference.
For the student, the text presents answers to odd-numbered questions in the back of the book. For the most part, the text presents only the answers, but occasionally the authors provide additional insight into the problem's solution, as in section 5.2. This will be useful for those engaged in independent study.
Overall, this is an excellent text, and one of the most complete and well-written books on complex variables I have seen. I highly recommend it to anyone interested in the subject, and have placed it prominently upon my reference bookshelf.