Download or read book Vorlesungen ber Die Theorie Der Elliptischen Functionen written by Karl Theodor Wilhelm Weierstrass and published by Wentworth Press. This book was released on 2018-07-25 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Download or read book Vorlesungen ber die Theorie der Elliptischen Functionen written by Leo Koenigsberger and published by . This book was released on 1874 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Course of Modern Analysis written by E. T. Whittaker and published by Cambridge University Press. This book was released on 2021-08-26 with total page 722 pages. Available in PDF, EPUB and Kindle. Book excerpt: This classic work has been a unique resource for thousands of mathematicians, scientists and engineers since its first appearance in 1902. Never out of print, its continuing value lies in its thorough and exhaustive treatment of special functions of mathematical physics and the analysis of differential equations from which they emerge. The book also is of historical value as it was the first book in English to introduce the then modern methods of complex analysis. This fifth edition preserves the style and content of the original, but it has been supplemented with more recent results and references where appropriate. All the formulas have been checked and many corrections made. A complete bibliographical search has been conducted to present the references in modern form for ease of use. A new foreword by Professor S.J. Patterson sketches the circumstances of the book's genesis and explains the reasons for its longevity. A welcome addition to any mathematician's bookshelf, this will allow a whole new generation to experience the beauty contained in this text.
Download or read book Vorlesungen ber die hypergeometrische Funktion written by Felix Klein and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bei der Herausgabe der KLEINschen Vorlesung über die hyper geometrische Funktion erschienen nur zwei Wege gangbar: Entweder eine durchgreifende Umarbeitung, auch im großen, oder eine möglichst weitgehende Erhaltung der ursprünglichen Form. Vor allem auch aus historischen Gründen wurde der letztere Weg beschritten. Daher ist die Anordnung des Stoffes erhalten geblieben; e, s ist nur, von kleinen Änderungen abgesehen, ein Exkurs über homogene Schreibweise aus der KLEINschen Vorlesung über lineare Differentialgleichungen ein gefügt, ferner sind die Schlußbemerkungen zur geometrischen Theorie im Falle komplexer Exponenten als durch die Arbeiten von F. SCHILLING überholt, weggelassen. Aus dem obengenannten Grunde sind beispiels weise auch Entwicklungen beibehalten worden, die heute schon dem Anfänger geläufig sind (etwa die Ausführungen über stereographische Projektion). In Rücksicht auf möglichste Erhaltung der KLEINschen Darstellung sind ferner Hinweise des Herausgebers auf inzwischen ge machte Fortschritte der Wissenschaft vom Texte getrennt als Anmerkun gen am Schluß zusammengestellt. Diese Hinweise erheben aber in keiner Weise den Anspruch auf Vollständigkeit. Bei der nicht zu um gehenden Revision des Textes im einzelnen ist, dem oben angegebenen Gesichtspunkt entsprechend, möglichste Wahrung des persönlichen KLEINschen Stils angestrebt. übrigens habe ich darauf Bedacht genommen, auch dem A nlänger die Lektüre durch Anmerkungen und durch Nachweise der KLEINschen Zitate zu erleichtern. Denn zweifellos bieten gerade diese Vorlesungen eine treffliche Ergänzung und Weiterführung dessen, was der Studierende mittleren Semesters an Geometrie und Funktionentheorie kennen gelernt hat.
Download or read book Vorlesungen ber die Theorie der Elliptischen Functionen Classic Reprint written by Karl Weierstrass and published by Forgotten Books. This book was released on 2017-04-23 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Vorlesungen ber die Theorie der Elliptischen Functionen Das brige ist nach meiner Nachschrift einer von Weierstrass im Winter Semester 1874 - 75 gehaltenen Vorlesung ausgearbeitet werden, in wenigen Einzelheiten unter Heranziehung einer Ausarbeitung von Georg Hettner. N ach dem Gesammtplan von Weierstrass' Mathematischen Werken giebt die vor liegende Darstellung nicht Alles wieder, was in dieser Vorlesung und in dem erstgenannten Manuscript enthalten war. Dagegen kommt der Beweis fr die Nichtexistenz von mehr als zwei Perioden in der Weierstrassschen Vorlesung ber elliptische Functionen nicht vor. 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.
Download or read book Elliptic Functions written by J. V. Armitage and published by Cambridge University Press. This book was released on 2006-09-28 with total page 9 pages. Available in PDF, EPUB and Kindle. Book excerpt: In its first six chapters this 2006 text seeks to present the basic ideas and properties of the Jacobi elliptic functions as an historical essay, an attempt to answer the fascinating question: 'what would the treatment of elliptic functions have been like if Abel had developed the ideas, rather than Jacobi?' Accordingly, it is based on the idea of inverting integrals which arise in the theory of differential equations and, in particular, the differential equation that describes the motion of a simple pendulum. The later chapters present a more conventional approach to the Weierstrass functions and to elliptic integrals, and then the reader is introduced to the richly varied applications of the elliptic and related functions. Applications spanning arithmetic (solution of the general quintic, the functional equation of the Riemann zeta function), dynamics (orbits, Euler's equations, Green's functions), and also probability and statistics, are discussed.
Download or read book Vorlesungen ber Die Theorie Der Elliptischen Functionen Nerst Einer Einleitung in Die Allgemeine Functionenlehre written by Leo Koenigsberger and published by Wentworth Press. This book was released on 2018-07-30 with total page 664 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Download or read book Mathematical Seminary written by Princeton University. Library and published by . This book was released on 1915 with total page 124 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Vorlesungen ber die Theorie der elliptischen Functionen written by Karl Weierstrass and published by . This book was released on 1915 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Vorlesungen ber die Theorie der elliptischen Functionen written by Leo Koenigsberger and published by . This book was released on 1874 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Vorlesungen ber die Theorie der elliptischen Functionen written by Koenigsberger and published by . This book was released on 1874 with total page 676 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Catalogue of the Library of the T ky Teikoku Daigaku written by Tōkyō Teikoku Daigaku. Toshokan and published by . This book was released on 1896 with total page 656 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Vorlesungen ber Zahlen und Funktionenlehre written by Alfred Pringsheim and published by . This book was released on 1925 with total page 652 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Elliptic Modular Functions written by B. Schoeneberg and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a fully detailed introduction to the theory of modular functions of a single variable. I hope that it will fill gaps which in view ofthe lively development ofthis theory have often been an obstacle to the students' progress. The study of the book requires an elementary knowledge of algebra, number theory and topology and a deeper knowledge of the theory of functions. An extensive discussion of the modular group SL(2, Z) is followed by the introduction to the theory of automorphic functions and auto morphic forms of integral dimensions belonging to SL(2,Z). The theory is developed first via the Riemann mapping theorem and then again with the help of Eisenstein series. An investigation of the subgroups of SL(2, Z) and the introduction of automorphic functions and forms belonging to these groups folIows. Special attention is given to the subgroups of finite index in SL (2, Z) and, among these, to the so-called congruence groups. The decisive role in this setting is assumed by the Riemann-Roch theorem. Since its proof may be found in the literature, only the pertinent basic concepts are outlined. For the extension of the theory, special fields of modular functions in particular the transformation fields of order n-are studied. Eisen stein series of higher level are introduced which, in case of the dimension - 2, allow the construction of integrals of the 3 rd kind. The properties of these integrals are discussed at length.
Download or read book Vorlesungen ber die Theorie der elliptischen Modulfunctionen Bd Grundlegung der Theorie written by Felix Klein and published by . This book was released on 1890 with total page 796 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book VORLESUNGEN BER DIE THEORIE DER ELLIPTISCHEN FUNCTIONEN NEBST EINER EINLEITUNG IN DIE ALLGEMEINE FUNCTIONENLEHRE TH I II written by L. Koenigsberger and published by . This book was released on 1874 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Real Elliptic Curves written by N.L. Alling and published by Elsevier. This book was released on 2011-08-18 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: Real Elliptic Curves
