Applied Complex Variables (Dover Books on Mathematics) by John W. Dettman | (PDF) Free Download

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Analytic function theory is a traditional subject going back to Cauchy and Riemann in the 19th century. Once the exclusive province of advanced mathematics students, its applications have proven vital to today’s physicists and engineers. In this highly regarded work, Professor John W. Dettman offers a clear, well-organized overview of the subject and various applications — making the often-perplexing study of analytic functions of complex variables more accessible to a wider audience.The first half of Applied Complex Variables, designed for sequential study, is a step-by-step treatment of fundamentals, presenting superior coverage of concepts of complex analysis, including the complex number plane; functions and limits; the Cauchy-Riemann conditions for differentiability; Riemann surfaces; the definite integral; power series; meromorphic functions; and much more. The second half provides lucid exposition of five important applications of analytic function theory, each approachable independently of the others: potential theory; ordinary differential equations; Fourier transforms; Laplace transforms; and asymptotic expansions. Helpful exercises are included at the end of each topic in every chapter. The two-part structure of Applied Complex Variables affords the college instructor maximum classroom flexibility. Once fundamentals are mastered, applications can be studied in any sequence desired. Depending on how many are selected for study, Professor Dettman’s impressive text is ideal for either a one- or two-semester course. And, of course, the ambitious student possessing a knowledge of basic calculus will find its straightforward approach rewarding to his independent study efforts.Applied Complex Variables is a cogent, well-written introduction to an important and exciting branch of advanced mathematics — serving both the theoretical needs of the mathematics specialist and the applied math needs of the physicist and engineer. Students and teachers alike will welcome this timely, moderately priced reissue of a widely respected work.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐They added in some cardboard to keep the book from being damaged during shipping(small detail most other vendors completely look over). Besides the fact they sold me a great book at a great price.The book is neatly divided into two halves. The first half presents the mathematical theory of complex variables (complex numbers, function of complex variables, integration and differentiation of complex functions, infinite series and residue theory). The second half of the book provides common applications of complex variables (potential theory, differential equations, Fourier transforms, Laplace transforms and asymptotic expansions).This Dover reprint is an economical release of a fine text on complex variables. The prose is clean and efficient. The mathematical proofs are accessible. A fine addition to your home library for basic complex variable theory.great bookThis text was required for my Complex Variables course and no one in the class thought it was very helpful. The author is very abstract about concepts, gives no solutions to answers, and doesnt do that great of a job at explaining his points. This isnt even a real textbook! The only positive about this book is it is the cheapest book I have ever bought for college….It was exactly what I expected. The book although used was in very good conditionThis is the kind of book I’ve looked for as an undergraduate while taking my complex variables course. This book covers the fundamentals of complex analysis – analytic functions, integration, differentiation, infinite series and products, and residue calculus – using the oh-so-familiar but oh-so-very-effective method of theorem-proof-examples with short discussions inbetween. Since this text is so well organized this alone makes it a valuable asset. But this only comprises half of the book – the other half introduces uses of complex variables, including fourier series and transforms, asymptotic expansions, ordinary differential equations, Green’s functions in potential theory and many other things – a real goldmine of information, for a very low price, too! Granted, you won’t find graduate-level discussions here, but this isn’t what this book is meant for – undergraduates. This isn’t to say this book isn’t rigorous – terms such as “normal convergence” and “compact set” do occur in the book. All-in-all, this has everything you’ll need unless you intend to pursue higher-level courses in complex variables.* PhysicalIt’s a 481-page black and white book covering degree and Masters level in Complex mathematics. The book is split into two parts to reflect this division in tutoring. This book has been suggested to support an Open University course of the same name.* PrerequisitesIn my humble opinion, you need the following background or equivalent course experiences to make the best of this book. The first of the next two books have a few chapters on topics covering complex mathematics. And these show you how to apply the knowledge of complex functions. The latter book shows you more why these happen and explains this to you.Engineering Mathematics Paperback – 22 Mar 2013 by K.A. Stroud (Author), Dexter J. Booth (Author)Paperback: 1184 pagesPublisher: Palgrave Macmillan; 7th edition (22 Mar. 2013) Language: English ISBN-10: 1137031204 ISBN-13: 978-1137031204, Advanced Engineering Mathematics Paperback – 17 May 2011 by K.A. Stroud (Author), Dexter J. Booth (Author), Paperback: 1136 pagesPublisher: Palgrave Macmillan; 5th edition (17 May 2011) Language: English ISBN-10: 0230275486 ISBN-13: 978-0230275485Complex Analysis: Stewart/Tall Paperback – 12 Jan 2008 by Stewart/Tall (Author)Publisher: Cambridge University Press (12 Jan. 2008)Language: English ISBN-10: 0521287634 ISBN-13: 978-0521287630* What’s it like to read?Its part of this book it requires a lot of ability to comprehend Greek lettering and an understanding of mathematical operations they represent.A lot of functions are used over and over again to pursue the examinations of these topics. In the second part a lovely coverage of topics including going beyond Euclidean geometry, going into analytic theory covering, Laplace, Fourier series and analysis, conformal mapping, Bessel functions, how multiple functions of many components converge and diverge which is sublime. Some of this later topics have stuff completely new to me and this means more work to break it down so these two strouds wouldn’t cover this area or help.A lot of people have said this book has a scattergun approach on this topic when compared to the list of books above. Its background knowledge and not focused on the solution of a problem. You need to assimilate all this before solving problems and learning this way.* SummaryI have been reading this for several weeks and its been fun and getting down to this means going over and over these points to develop an understanding. I am coming to the end of the book but its definitely worth the effort and time involved reading this book.Similar to other reviewers I brought this book as it is the main textbook for the OU’s postgraduate Complex Analysis module.First the not so great. As others have mentioned Dettman’s approach to the subject can be a little abstract at times. The first part (undergraduate) does not suffer from this and I found it to be quite straight forward (although I was already familiar with most of it). The second part (post-graduate/advanced undergraduate) can be quite hard going in places; I recommend other books and resources over this for a good understanding of these concepts.Now on to why I like this book. It really made me think about the subject, as well as how to construct proofs in general. If you stick with it it is a great way to broaden your Mathematical thinking; although perhaps not cutting edge in the subjects it covers, it does cover the basics quite well.So perhaps take parts of it with a pinch of salt, and definitely read around on each chapter to get a greater understanding.The book is in two halves, the first covering an undergraduate semester and the second a masters semester. It is thorough and pitched at the right level for those who need to master the basics and then move on to more advanced applications of the theory, but does not really make an effort to aid the reader’s understanding by giving reasons for following developmental paths, or by providing any intuitive rationales that would have helped to see the machinery as it works rather just how it is put together.Does exactly what it says on the tinAwesome book

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