Looking for a complex analysis dover? Have a look at this 2019 guide!
Shopping for the best complex analysis dover is about as tricky as finding your soulmate. You not only think about quality, price but also need to find where to buy complex analysis dover. Don’t worry any more! We spend many hours to review and compare complex analysis dover to make the short list for you. Let’s check which product is suitable with you.
Shopping for the best complex analysis dover is about as tricky as finding your soulmate. You not only think about quality, price but also need to find where to buy complex analysis dover. Don’t worry any more! We spend many hours to review and compare complex analysis dover to make the short list for you. Let’s check which product is suitable with you.
Best complex analysis dover
1. Introductory Complex Analysis (Dover Books on Mathematics)
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Introductory Complex AnalysisDescription
Introductory Complex Analysis is a scaled-down version of A. I. Markushevich's masterly three-volume "Theory of Functions of a Complex Variable." Dr. Richard Silverman, the editor and translator of the original, has prepared this shorter version expressly to meet the needs of a one-year graduate or undergraduate course in complex analysis. In his selection and adaptation of the more elementary topics from the original larger work, he was guided by a brief course prepared by Markushevich himself.
The book begins with fundamentals, with a definition of complex numbers, their geometric representation, their algebra, powers and roots of complex numbers, set theory as applied to complex analysis, and complex functions and sequences. The notions of proper and improper complex numbers and of infinity are fully and clearly explained, as is stereographic projection. Individual chapters then cover limits and continuity, differentiation of analytic functions, polynomials and rational functions, Mobius transformations with their circle-preserving property, exponentials and logarithms, complex integrals and the Cauchy theorem , complex series and uniform convergence, power series, Laurent series and singular points, the residue theorem and its implications, harmonic functions (a subject too often slighted in first courses in complex analysis), partial fraction expansions, conformal mapping, and analytic continuation.
Elementary functions are given a more detailed treatment than is usual for a book at this level. Also, there is an extended discussion of the Schwarz-Christolfel transformation, which is particularly important for applications.
There is a great abundance of worked-out examples, and over three hundred problems (some with hints and answers), making this an excellent textbook for classroom use as well as for independent study. A noteworthy feature is the fact that the parentage of this volume makes it possible for the student to pursue various advanced topics in more detail in the three-volume original, without the problem of having to adjust to a new terminology and notation .
In this way, IntroductoryComplex Analysis serves as an introduction not only to the whole field of complex analysis, but also to the magnum opus of an important contemporary Russian mathematician.
2. Complex Variables (Dover Books on Mathematics)
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Complex Variables Harmonic and Analytic FunctionsDescription
Those familiar with mathematics texts will note the fine illustrations throughout and large number of problems offered at the chapter ends. An answer section is provided. Students weary of plodding mathematical prose will find Professor Flanigan's style as refreshing and stimulating as his approach.
3. Complex Analysis with Applications (Dover Books on Mathematics)
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Dover PublicationsDescription
Contents include: Complex Numbers; Some Special Mapping; Limits in the Complex Plane; Multiple-Valued Functions' Complex Functions; Taylor Series; Differentiation in the Complex Plane; Laurent Series; Integration in the Complex Plane; Applications of Residues; Complex Series; Mapping of Polygonal Domains; Power Series; and Some Physical Applications.
Abundant exercise material and examples, as well as section-by-section comments at the end of each chapter make this book especially valuable to students and anyone encountering complex analysis for the first time.
4. A Collection of Problems on Complex Analysis (Dover Books on Mathematics)
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Used Book in Good ConditionDescription
The first four chapters involve complex numbers and functions of a complex variable; conformal mappings connected with elementary functions; supplementary geometrical questions and generalized analytic functions; and integrals and power series.
Chapters V through VIII cover the Launrent series, singularities of single-valued functions, and integral functions; various series of functions, parametric integrals, and infinite products; residues and their applications; integrals of the Cauchy type; and integral functions of Poisson and Schwarz.
The final three chapters discuss analytic continuation, singularities of many-valued character, and Riemann Surfaces; conformal mappings; and applications to mechanic and physics. Answers and solutions are grouped at the end of the text.
5. Functional Analysis (Dover Books on Mathematics)
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6. Elementary Theory of Analytic Functions of One or Several Complex Variables (Dover Books on Mathematics)
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7. Complex Analysis (Undergraduate Texts in Mathematics)
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Used Book in Good ConditionDescription
An introduction to complex analysis for students with some knowledge of complex numbers from high school. It contains sixteen chapters, the first eleven of which are aimed at an upper division undergraduate audience. The remaining five chapters are designed to complete the coverage of all background necessary for passing PhD qualifying exams in complex analysis. Topics studied include Julia sets and the Mandelbrot set, Dirichlet series and the prime number theorem, and the uniformization theorem for Riemann surfaces, with emphasis placed on the three geometries: spherical, euclidean, and hyperbolic. Throughout, exercises range from the very simple to the challenging. The book is based on lectures given by the author at several universities, including UCLA, Brown University, La Plata, Buenos Aires, and the Universidad Autonomo de Valencia, Spain.8. Introductory Real Analysis (Dover Books on Mathematics)
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The first four chapters present basic concepts and introductory principles in set theory, metric spaces, topological spaces, and linear spaces. The next two chapters consider linear functionals and linear operators, with detailed discussions of continuous linear functionals, the conjugate space, the weak topology and weak convergence, generalized functions, basic concepts of linear operators, inverse and adjoint operators, and completely continuous operators. The final four chapters cover measure, integration, differentiation, and more on integration. Special attention is here given to the Lebesque integral, Fubini's theorem, and the Stieltjes integral. Each individual section there are 37 in all is equipped with a problem set, making a total of some 350 problems, all carefully selected and matched.
With these problems and the clear exposition, this book is useful for self-study or for the classroom it is basic one-year course in real analysis. Dr. Silverman is a former member of the Institute of Mathematical Sciences of New York University and the Lincoln Library of M.I.T. Along with his translation, he has revised the text with numerous pedagogical and mathematical improvements and restyled the language so that it is even more readable.