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Author : Arthur Latham Baker
Publisher :
ISBN 13 :
Total Pages : 140 pages
Book Rating : 4.F/5 ( download)
Download or read book Elliptic Functions written by Arthur Latham Baker and published by . This book was released on 1890 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Arthur Latham Baker
Publisher :
ISBN 13 : 9781462279258
Total Pages : 126 pages
Book Rating : 4.2/5 (792 download)
Download or read book Elliptic Functions written by Arthur Latham Baker and published by . This book was released on 2012-09-10 with total page 126 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hardcover reprint of the original 1890 edition - beautifully bound in brown cloth covers featuring titles stamped in gold, 8vo - 6x9. No adjustments have been made to the original text, giving readers the full antiquarian experience. For quality purposes, all text and images are printed as black and white. This item is printed on demand. Book Information: Baker, Arthur Latham. Elliptic Functions. An Elementary Text-Book For Students of Mathematics. Indiana: Repressed Publishing LLC, 2012. Original Publishing: Baker, Arthur Latham. Elliptic Functions. An Elementary Text-Book For Students of Mathematics, . New York, J. Wiley & Sons, 1890. Subject: Elliptic Functions
Author : Arthur Cayley
Publisher :
ISBN 13 :
Total Pages : 412 pages
Book Rating : 4.:/5 (334 download)
Download or read book An Elementary Treatise on Elliptic Functions written by Arthur Cayley and published by . This book was released on 1895 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Arthur L. Baker
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (256 download)
Download or read book Elliptic Functions written by Arthur L. Baker and published by . This book was released on 1915 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Arthur L. Baker
Publisher :
ISBN 13 : 9781332770465
Total Pages : 130 pages
Book Rating : 4.7/5 (74 download)
Download or read book Elliptic Functions written by Arthur L. Baker and published by . This book was released on 2016-06-26 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Elliptic Functions: An Elementary Text-Book for Students of Mathematics I have endeavored throughout to use only such methods as are familiar to the ordinary student of Calculus, avoiding those methods of discussion dependent upon the properties of double periodicity, and also those depending upon Functions of Com plex Variables. For the same reason I have not carried the discussion of the 9 and H functions further. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Author : William A. Schwalm
Publisher : Morgan & Claypool Publishers
ISBN 13 : 1681742306
Total Pages : 67 pages
Book Rating : 4.6/5 (817 download)
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.
Author : Richard Bellman
Publisher : Courier Corporation
ISBN 13 : 0486492958
Total Pages : 100 pages
Book Rating : 4.4/5 (864 download)
Download or read book A Brief Introduction to Theta Functions written by Richard Bellman and published by Courier Corporation. This book was released on 2013-01-01 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originally published: New York: Rinehart and Winston, 1961.
Author : Álvaro Lozano-Robledo
Publisher : American Mathematical Soc.
ISBN 13 : 0821852426
Total Pages : 217 pages
Book Rating : 4.8/5 (218 download)
Download or read book Elliptic Curves, Modular Forms, and Their L-functions written by Álvaro Lozano-Robledo and published by American Mathematical Soc.. This book was released on 2011 with total page 217 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many problems in number theory have simple statements, but their solutions require a deep understanding of algebra, algebraic geometry, complex analysis, group representations, or a combination of all four. The original simply stated problem can be obscured in the depth of the theory developed to understand it. This book is an introduction to some of these problems, and an overview of the theories used nowadays to attack them, presented so that the number theory is always at the forefront of the discussion. Lozano-Robledo gives an introductory survey of elliptic curves, modular forms, and $L$-functions. His main goal is to provide the reader with the big picture of the surprising connections among these three families of mathematical objects and their meaning for number theory. As a case in point, Lozano-Robledo explains the modularity theorem and its famous consequence, Fermat's Last Theorem. He also discusses the Birch and Swinnerton-Dyer Conjecture and other modern conjectures. The book begins with some motivating problems and includes numerous concrete examples throughout the text, often involving actual numbers, such as 3, 4, 5, $\frac{3344161}{747348}$, and $\frac{2244035177043369699245575130906674863160948472041} {8912332268928859588025535178967163570016480830}$. The theories of elliptic curves, modular forms, and $L$-functions are too vast to be covered in a single volume, and their proofs are outside the scope of the undergraduate curriculum. However, the primary objects of study, the statements of the main theorems, and their corollaries are within the grasp of advanced undergraduates. This book concentrates on motivating the definitions, explaining the statements of the theorems and conjectures, making connections, and providing lots of examples, rather than dwelling on the hard proofs. The book succeeds if, after reading the text, students feel compelled to study elliptic curves and modular forms in all their glory.
Author : Andre Weil
Publisher : Springer Science & Business Media
ISBN 13 : 9783540650362
Total Pages : 112 pages
Book Rating : 4.6/5 (53 download)
Download or read book Elliptic Functions According to Eisenstein and Kronecker written by Andre Weil and published by Springer Science & Business Media. This book was released on 1999 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt: Drawn from the Foreword: (...) On the other hand, since much of the material in this volume seems suitable for inclusion in elementary courses, it may not be superfluous to point out that it is almost entirely self-contained. Even the basic facts about trigonometric functions are treated ab initio in Ch. II, according to Eisenstein's method. It would have been both logical and convenient to treat the gamma -function similarly in Ch. VII; for the sake of brevity, this has not been done, and a knowledge of some elementary properties of T(s) has been assumed. One further prerequisite in Part II is Dirichlet's theorem on Fourier series, together with the method of Poisson summation which is only a special case of that theorem; in the case under consideration (essentially no more than the transformation formula for the theta-function) this presupposes the calculation of some classical integrals. (...) As to the final chapter, it concerns applications to number theory (...).
Author : Arthur Latham 1853-1934 Baker
Publisher :
ISBN 13 : 9781362080848
Total Pages : 138 pages
Book Rating : 4.0/5 (88 download)
Download or read book ELLIPTIC FUNCTIONS AN ELEM TEX written by Arthur Latham 1853-1934 Baker and published by . This book was released on 2016-08-25 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : John William Scott Cassels
Publisher : Cambridge University Press
ISBN 13 : 9780521425308
Total Pages : 148 pages
Book Rating : 4.4/5 (253 download)
Download or read book LMSST: 24 Lectures on Elliptic Curves written by John William Scott Cassels and published by Cambridge University Press. This book was released on 1991-11-21 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: A self-contained introductory text for beginning graduate students that is contemporary in approach without ignoring historical matters.
Author : Arthur Latham Baker
Publisher :
ISBN 13 : 9781294003717
Total Pages : 134 pages
Book Rating : 4.0/5 (37 download)
Download or read book Elliptic Functions written by Arthur Latham Baker and published by . This book was released on 2013-10 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a reproduction of a book published before 1923. This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process. We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide. We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book.
Author : Arthur L. Baker
Publisher : Createspace Independent Publishing Platform
ISBN 13 : 9781519156969
Total Pages : 124 pages
Book Rating : 4.1/5 (569 download)
Download or read book Elliptic Functions written by Arthur L. Baker and published by Createspace Independent Publishing Platform. This book was released on 2015-11-06 with total page 124 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the INTRODUCTORY CHAPTER. The first step taken in the theory of Elliptic Functions was the determination of a relation between the amplitudes of three functions of either order, such that there should exist an algebraic relation between the three functions themselves of which these were the amplitudes. It is one of the most remarkable discoveries which science owes to Euler. In 1761 he gave to the world the complete integration of an equation of two terms, each an elliptic function of the first or second order, not separately integrable. This integration introduced an arbitrary constant in the form of a third function, related to the first two by a given equation between the amplitudes of the three. In 1775 Landen, an English mathematician, published his celebrated theorem showing that any arc of a hyperbola may be measured by two arcs of an ellipse, an important element of the theory of Elliptic Functions, but then an isolated result. The great problem of comparison of Elliptic Functions of different moduli remained unsolved, though Euler, in a measure, exhausted the comparison of functions of the same modulus. It was completed in 1784 by Lagrange, and for the computation of numerical results leaves little to be desired. The value of a function may be determined by it, in terms of increasing or diminishing moduli, until at length it depends upon a function having a modulus of zero, or unity. For all practical purposes this was sufficient. The enormous task of calculating tables was undertaken by Legendre. His labors did not end here, however. There is none of the discoveries of his predecessors which has not received some perfection at his hands; and it was he who first supplied to the whole that connection and arrangement which have made it an independent science. The theory of Elliptic Integrals remained at a standstill from 1786, the year when Legendre took it up, until the year 1827, when the second volume of his Traite des Fonctions Elliptiques appeared. Scarcely so, however, when there appeared the researches of Jacobi, a Professor of Mathematics in Konigsberg, in the 123d number of the Journal of Schumacher, and those of Abel, Professor of Mathematics at Christiania, in the 3d number of Crelle's Journal for 1827. These publications put the theory of Elliptic Functions upon an entirely new basis. The researches of Jacobi have for their principal object the development of that general relation of functions of the first order having different moduli, of which the scales of Legrange and Legendre are particular cases.
Author : James S Milne
Publisher : World Scientific
ISBN 13 : 9811221855
Total Pages : 319 pages
Book Rating : 4.8/5 (112 download)
Download or read book Elliptic Curves (Second Edition) written by James S Milne and published by World Scientific. This book was released on 2020-08-20 with total page 319 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book uses the beautiful theory of elliptic curves to introduce the reader to some of the deeper aspects of number theory. It assumes only a knowledge of the basic algebra, complex analysis, and topology usually taught in first-year graduate courses.An elliptic curve is a plane curve defined by a cubic polynomial. Although the problem of finding the rational points on an elliptic curve has fascinated mathematicians since ancient times, it was not until 1922 that Mordell proved that the points form a finitely generated group. There is still no proven algorithm for finding the rank of the group, but in one of the earliest important applications of computers to mathematics, Birch and Swinnerton-Dyer discovered a relation between the rank and the numbers of points on the curve computed modulo a prime. Chapter IV of the book proves Mordell's theorem and explains the conjecture of Birch and Swinnerton-Dyer.Every elliptic curve over the rational numbers has an L-series attached to it.Hasse conjectured that this L-series satisfies a functional equation, and in 1955 Taniyama suggested that Hasse's conjecture could be proved by showing that the L-series arises from a modular form. This was shown to be correct by Wiles (and others) in the 1990s, and, as a consequence, one obtains a proof of Fermat's Last Theorem. Chapter V of the book is devoted to explaining this work.The first three chapters develop the basic theory of elliptic curves.For this edition, the text has been completely revised and updated.
Author : Lawrence C. Washington
Publisher : CRC Press
ISBN 13 : 1420071475
Total Pages : 533 pages
Book Rating : 4.4/5 (2 download)
Download or read book Elliptic Curves written by Lawrence C. Washington and published by CRC Press. This book was released on 2008-04-03 with total page 533 pages. Available in PDF, EPUB and Kindle. Book excerpt: Like its bestselling predecessor, Elliptic Curves: Number Theory and Cryptography, Second Edition develops the theory of elliptic curves to provide a basis for both number theoretic and cryptographic applications. With additional exercises, this edition offers more comprehensive coverage of the fundamental theory, techniques, and application
Author : Arthur Latham Baker
Publisher :
ISBN 13 :
Total Pages : 140 pages
Book Rating : 4.A/5 ( download)
Download or read book Elliptic Functions written by Arthur Latham Baker and published by . This book was released on 1890 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Haruzo Hida
Publisher : Cambridge University Press
ISBN 13 : 9780521435697
Total Pages : 404 pages
Book Rating : 4.4/5 (356 download)
Download or read book Elementary Theory of L-functions and Eisenstein Series written by Haruzo Hida and published by Cambridge University Press. This book was released on 1993-02-11 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of p-adic and classic modular forms, and the study of arithmetic and p-adic L-functions has proved to be a fruitful area of mathematics over the last decade. Professor Hida has given courses on these topics in the USA, Japan, and in France, and in this book provides the reader with an elementary but detailed insight into the theory of L-functions. The presentation is self contained and concise, and the subject is approached using only basic tools from complex analysis and cohomology theory. Graduate students wishing to know more about L-functions will find that this book offers a unique introduction to this fascinating branch of mathematics.
