![Applied and Computational Complex Analysis; Power Series; Integration; Conformal Mapping; Location of Zeroes; [Vol. 1]. PDF](https://books.google.com/books/content/images/frontcover/_SfJtAEACAAJ?fife=w150-h200)
Author: Henrici P.Publisher:
ISBN:
Category :
Languages : en
Pages :
Book Description
Applied and Computational Complex Analysis; Power Series; Integration; Conformal Mapping; Location of Zeroes; [Vol. 1].
![Applied and Computational Complex Analysis; Power Series; Integration; Conformal Mapping; Location of Zeroes; [Vol. 1]. PDF](https://books.google.com/books/content/images/frontcover/_SfJtAEACAAJ?fife=w80-h100)
Author: Henrici P.Applied and Computational Complex Analysis, Volume 1
Author: Peter HenriciPublisher: John Wiley & Sons
ISBN: 9780471608417
Category : Mathematics
Languages : en
Pages : 704
Book Description
Presents applications as well as the basic theory of analytic functions of one or several complex variables. The first volume discusses applications and basic theory of conformal mapping and the solution of algebraic and transcendental equations. Volume Two covers topics broadly connected with ordinary differental equations: special functions, integral transforms, asymptotics and continued fractions. Volume Three details discrete fourier analysis, cauchy integrals, construction of conformal maps, univalent functions, potential theory in the plane and polynomial expansions.
Power Series, Integration, Conformal Mapping, Location of Zeros
Author: Analytic Theory of Continued Fractions
Author: W. B. JonesPublisher: Springer
ISBN: 3540392769
Category : Mathematics
Languages : en
Pages : 250
Book Description
Applied Mechanics Reviews
Author: The SIAM 100-Digit Challenge
Author: Folkmar BornemannPublisher: SIAM
ISBN: 089871561X
Category : Mathematics
Languages : en
Pages : 310
Book Description
Gives concrete examples of how to justify the validity of every single digit of a numerical answer.
Asymptotics of Elliptic and Parabolic PDEs
Author: David HolcmanPublisher: Springer
ISBN: 3319768956
Category : Mathematics
Languages : en
Pages : 456
Book Description
This is a monograph on the emerging branch of mathematical biophysics combining asymptotic analysis with numerical and stochastic methods to analyze partial differential equations arising in biological and physical sciences. In more detail, the book presents the analytic methods and tools for approximating solutions of mixed boundary value problems, with particular emphasis on the narrow escape problem. Informed throughout by real-world applications, the book includes topics such as the Fokker-Planck equation, boundary layer analysis, WKB approximation, applications of spectral theory, as well as recent results in narrow escape theory. Numerical and stochastic aspects, including mean first passage time and extreme statistics, are discussed in detail and relevant applications are presented in parallel with the theory. Including background on the classical asymptotic theory of differential equations, this book is written for scientists of various backgrounds interested in deriving solutions to real-world problems from first principles.
Computer Algebra in Scientific Computing
Author: François BoulierPublisher: Springer Nature
ISBN: 3030600262
Category : Computers
Languages : en
Pages : 644
Book Description
This book constitutes the refereed proceedings of the 22nd International Workshop on Computer Algebra in Scientific Computing, CASC 2020, held in Linz, Austria, in September 2020. The conference was held virtually due to the COVID-19 pandemic. The 34 full papers presented together with 2 invited talks were carefully reviewed and selected from 41 submissions. They deal with cutting-edge research in all major disciplines of computer algebra. The papers cover topics such as polynomial algebra, symbolic and symbolic-numerical computation, applications of symbolic computation for investigating and solving ordinary differential equations, applications of CAS in the investigation and solution of celestial mechanics problems, and in mechanics, physics, and robotics.
Basic Complex Analysis
Author: Barry SimonPublisher: American Mathematical Soc.
ISBN: 1470411008
Category : Mathematics
Languages : en
Pages : 661
Book Description
A Comprehensive Course in Analysis by Poincaré Prize winner Barry Simon is a five-volume set that can serve as a graduate-level analysis textbook with a lot of additional bonus information, including hundreds of problems and numerous notes that extend the text and provide important historical background. Depth and breadth of exposition make this set a valuable reference source for almost all areas of classical analysis. Part 2A is devoted to basic complex analysis. It interweaves three analytic threads associated with Cauchy, Riemann, and Weierstrass, respectively. Cauchy's view focuses on the differential and integral calculus of functions of a complex variable, with the key topics being the Cauchy integral formula and contour integration. For Riemann, the geometry of the complex plane is central, with key topics being fractional linear transformations and conformal mapping. For Weierstrass, the power series is king, with key topics being spaces of analytic functions, the product formulas of Weierstrass and Hadamard, and the Weierstrass theory of elliptic functions. Subjects in this volume that are often missing in other texts include the Cauchy integral theorem when the contour is the boundary of a Jordan region, continued fractions, two proofs of the big Picard theorem, the uniformization theorem, Ahlfors's function, the sheaf of analytic germs, and Jacobi, as well as Weierstrass, elliptic functions.
Dynamical, Spectral, and Arithmetic Zeta Functions
Author: Michel Laurent LapidusPublisher: American Mathematical Soc.
ISBN: 0821820796
Category : Mathematics
Languages : en
Pages : 210
Book Description
The original zeta function was studied by Riemann as part of his investigation of the distribution of prime numbers. Other sorts of zeta functions were defined for number-theoretic purposes, such as the study of primes in arithmetic progressions. This led to the development of $L$-functions, which now have several guises. It eventually became clear that the basic construction used for number-theoretic zeta functions can also be used in other settings, such as dynamics, geometry, and spectral theory, with remarkable results. This volume grew out of the special session on dynamical, spectral, and arithmetic zeta functions held at the annual meeting of the American Mathematical Society in San Antonio, but also includes four articles that were invited to be part of the collection. The purpose of the meeting was to bring together leading researchers, to find links and analogies between their fields, and to explore new methods. The papers discuss dynamical systems, spectral geometry on hyperbolic manifolds, trace formulas in geometry and in arithmetic, as well as computational work on the Riemann zeta function. Each article employs techniques of zeta functions. The book unifies the application of these techniques in spectral geometry, fractal geometry, and number theory. It is a comprehensive volume, offering up-to-date research. It should be useful to both graduate students and confirmed researchers.