Read Books Online and Download eBooks, EPub, PDF, Mobi, Kindle, Text Full Free.
Elliptic Functions For Complex Arguments
Download Elliptic Functions For Complex Arguments full books in PDF, epub, and Kindle. Read online Elliptic Functions For Complex Arguments ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
Book Synopsis Elliptic Functions for Complex Arguments by : Henry E. Fettis
Download or read book Elliptic Functions for Complex Arguments written by Henry E. Fettis and published by . This book was released on 1967 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Jacobian elliptic functions sn(w) cn(w) dn(w) are tabulated to five decimals in the complex w = u + iv plane as functions of the nome q = .005(.005).4 for u/K = 0(.1)1. and v/K' = 0(.1)1. where q = e to the minus (pi K'/K) power and K and K' are complete elliptic integrals with moduli k and k' = square root of (l-sq. k), respectively.
Book Synopsis Elliptic Functions for Complex Arguments by : Henry E. Fettis
Download or read book Elliptic Functions for Complex Arguments written by Henry E. Fettis and published by . This book was released on 1967 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Jacobian elliptic functions sn(w) cn(w) dn(w) are tabulated to five decimals in the complex w = u + iv plane as functions of the nome q = .005(.005).4 for u/K = 0(.1)1. and v/K' = 0(.1)1. where q = e to the minus (pi K'/K) power and K and K' are complete elliptic integrals with moduli k and k' = square root of (l-sq. k), respectively.
Book Synopsis Elliptic Functions with Complex Arguments by : Francis Martin Henderson
Download or read book Elliptic Functions with Complex Arguments written by Francis Martin Henderson and published by . This book was released on 1960 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Elliptic Functions with Complex Arguments by :
Download or read book Elliptic Functions with Complex Arguments written by and published by . This book was released on 1960 with total page 38 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Elliptic Functions and Applications by : Derek F. Lawden
Download or read book Elliptic Functions and Applications written by Derek F. Lawden and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt: The subject matter of this book formed the substance of a mathematical se am which was worked by many of the great mathematicians of the last century. The mining metaphor is here very appropriate, for the analytical tools perfected by Cauchy permitted the mathematical argument to penetra te to unprecedented depths over a restricted region of its domain and enabled mathematicians like Abel, Jacobi, and Weierstrass to uncover a treasurehouse of results whose variety, aesthetic appeal, and capacity for arousing our astonishment have not since been equaled by research in any other area. But the circumstance that this theory can be applied to solve problems arising in many departments of science and engineering graces the topic with an additional aura and provides a powerful argument for including it in university courses for students who are expected to use mathematics as a tool for technological investigations in later life. Unfortunately, since the status of university staff is almost wholly determined by their effectiveness as research workers rather than as teachers, the content of undergraduate courses tends to reflect those academic research topics which are currently popular and bears little relationship to the future needs of students who are themselves not destined to become university teachers. Thus, having been comprehensively explored in the last century and being undoubtedly difficult .
Book Synopsis Elliptic Functions by : Eric Harold Neville
Download or read book Elliptic Functions written by Eric Harold Neville and published by Elsevier. This book was released on 2014-05-23 with total page 213 pages. Available in PDF, EPUB and Kindle. Book excerpt: Elliptic Functions: A Primer defines and describes what is an elliptic function, attempts to have a more elementary approach to them, and drastically reduce the complications of its classic formulae; from which the book proceeds to a more detailed study of the subject while being reasonably complete in itself. The book squarely faces the situation and acknowledges the history of the subject through the use of twelve allied functions instead of the three Jacobian functions and includes its applications for double periodicity, lattices, multiples and sub-multiple periods, as well as many others in trigonometry. Aimed especially towards but not limited to young mathematicians and undergraduates alike, the text intends to have its readers acquainted on elliptic functions, pass on to a study in Jacobian elliptic functions, and bring a theory of the complex plane back to popularity.
Author :Komaravolu Chandrasekharan Publisher :Springer Science & Business Media ISBN 13 :3642522440 Total Pages :199 pages Book Rating :4.6/5 (425 download)
Book Synopsis Elliptic Functions by : Komaravolu Chandrasekharan
Download or read book Elliptic Functions written by Komaravolu Chandrasekharan and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 199 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book has grown out of a course of lectures on elliptic functions, given in German, at the Swiss Federal Institute of Technology, Zurich, during the summer semester of 1982. Its aim is to give some idea of the theory of elliptic functions, and of its close connexion with theta-functions and modular functions, and to show how it provides an analytic approach to the solution of some classical problems in the theory of numbers. It comprises eleven chapters. The first seven are function-theoretic, and the next four concern arithmetical applications. There are Notes at the end of every chapter, which contain references to the literature, comments on the text, and on the ramifications, old and new, of the problems dealt with, some of them extending into cognate fields. The treatment is self-contained, and makes no special demand on the reader's knowledge beyond the elements of complex analysis in one variable, and of group theory.
Book Synopsis Elliptical Functions with Complex Arguments by : Francis Martin Henderson
Download or read book Elliptical Functions with Complex Arguments written by Francis Martin Henderson and published by . This book was released on 1960 with total page 48 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Elliptic Functions by : Peter L. Walker
Download or read book Elliptic Functions written by Peter L. Walker and published by . This book was released on 1996-11-07 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of elliptic functions represents a high point of classical analysis. Interest in the use of these mathematical tools was recently heightened by John Wile's partial proof of Fermat's Last Theorem. Now this comprehensive guide bridges the gap between elementary texts and the very high level specialist research monographs by demonstrating how the principal results can be derived using relatively modest analytical machinery. In addition to their intrinsic elegance and range, from Circular Functions to Gamma and Related, Basic Elliptic, Theta, Jacobian, Elliptic Integrals, and Modular Functions, they find uses in fields as diverse as number theory and fluid mechanics.
Book Synopsis Lectures on Selected Topics in Mathematical Physics by : William A. Schwalm
Download or read book Lectures on Selected Topics in Mathematical Physics written by William A. Schwalm and published by Morgan & Claypool Publishers. This book was released on 2015-12-31 with total page 67 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a basic introduction to certain aspects of elliptic functions and elliptic integrals. Primarily, the elliptic functions stand out as closed solutions to a class of physical and geometrical problems giving rise to nonlinear differential equations. While these nonlinear equations may not be the types of greatest interest currently, the fact that they are solvable exactly in terms of functions about which much is known makes up for this. The elliptic functions of Jacobi, or equivalently the Weierstrass elliptic functions, inhabit the literature on current problems in condensed matter and statistical physics, on solitons and conformal representations, and all sorts of famous problems in classical mechanics. The lectures on elliptic functions have evolved as part of the first semester of a course on theoretical and mathematical methods given to first and second year graduate students in physics and chemistry at the University of North Dakota. They are for graduate students or for researchers who want an elementary introduction to the subject that nevertheless leaves them with enough of the details to address real problems. The style is supposed to be informal. The intention is to introduce the subject as a moderate extension of ordinary trigonometry in which the reference circle is replaced by an ellipse. This entre depends upon fewer tools and has seemed less intimidating that other typical introductions to the subject that depend on some knowledge of complex variables. The first three lectures assume only calculus, including the chain rule and elementary knowledge of differential equations. In the later lectures, the complex analytic properties are introduced naturally so that a more complete study becomes possible.
Book Synopsis Elliptic Functions and Transcendence by : D.W. Masser
Download or read book Elliptic Functions and Transcendence written by D.W. Masser and published by Springer. This book was released on 2006-11-15 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Elliptic Functions and Elliptic Integrals by : Viktor Prasolov
Download or read book Elliptic Functions and Elliptic Integrals written by Viktor Prasolov and published by American Mathematical Society. This book was released on 1997-09-16 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to the geometry and arithmetic of elliptic curves and to elliptic functions with applications to algebra and number theory. It includes modern interpretations of some famous classical algebraic theorems such as Abel's theorem on the lemniscate and Hermite's solution of the fifth degree equation by means of theta functions. Suitable as a text, the book is self-contained and assumes as prerequisites only the standard one-year courses of algebra and analysis.
Book Synopsis Explorations in Complex Functions by : Richard Beals
Download or read book Explorations in Complex Functions written by Richard Beals and published by Springer Nature. This book was released on 2020-10-19 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook explores a selection of topics in complex analysis. From core material in the mainstream of complex analysis itself, to tools that are widely used in other areas of mathematics, this versatile compilation offers a selection of many different paths. Readers interested in complex analysis will appreciate the unique combination of topics and connections collected in this book. Beginning with a review of the main tools of complex analysis, harmonic analysis, and functional analysis, the authors go on to present multiple different, self-contained avenues to proceed. Chapters on linear fractional transformations, harmonic functions, and elliptic functions offer pathways to hyperbolic geometry, automorphic functions, and an intuitive introduction to the Schwarzian derivative. The gamma, beta, and zeta functions lead into L-functions, while a chapter on entire functions opens pathways to the Riemann hypothesis and Nevanlinna theory. Cauchy transforms give rise to Hilbert and Fourier transforms, with an emphasis on the connection to complex analysis. Valuable additional topics include Riemann surfaces, steepest descent, tauberian theorems, and the Wiener–Hopf method. Showcasing an array of accessible excursions, Explorations in Complex Functions is an ideal companion for graduate students and researchers in analysis and number theory. Instructors will appreciate the many options for constructing a second course in complex analysis that builds on a first course prerequisite; exercises complement the results throughout.
Book Synopsis Lectures on the Theory of Elliptic Functions by : Harris Hancock
Download or read book Lectures on the Theory of Elliptic Functions written by Harris Hancock and published by . This book was released on 1910 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Elliptic Functions written by Serge Lang and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 319 pages. Available in PDF, EPUB and Kindle. Book excerpt: Elliptic functions parametrize elliptic curves, and the intermingling of the analytic and algebraic-arithmetic theory has been at the center of mathematics since the early part of the nineteenth century. The book is divided into four parts. In the first, Lang presents the general analytic theory starting from scratch. Most of this can be read by a student with a basic knowledge of complex analysis. The next part treats complex multiplication, including a discussion of Deuring's theory of l-adic and p-adic representations, and elliptic curves with singular invariants. Part three covers curves with non-integral invariants, and applies the Tate parametrization to give Serre's results on division points. The last part covers theta functions and the Kronecker Limit Formula. Also included is an appendix by Tate on algebraic formulas in arbitrary charactistic.
Download or read book Elliptic Curves written by Henry McKean and published by Cambridge University Press. This book was released on 1999-08-13 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introductory 1997 account in the style of the original discoverers, treating the fundamental themes even-handedly.
Book Synopsis Jacobian Elliptic Functions by : Eric Harold Neville
Download or read book Jacobian Elliptic Functions written by Eric Harold Neville and published by . This book was released on 1951 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt:
