Abel's theorem and the allied theory: Including the theory of the theta functions

Author(s) H. F. Baker

Cornell Hist. Math Monographs, none: 684pp. (1897). DOI: 10.3792/chmm/1428686976

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Cornell University Library Historical Math Monographs

684 pp.

Rights: There are no known copyright restrictions in the United States on the use of this text. More information on rights issues associated with public domain texts can be found at http://cdl.library.cornell.edu/guidelines.html.

Published: 1897

First available in Project Euclid: 10 April 2015

Digital Object Identifier: 10.3792/chmm/1428686976

ISBN: 1429700335

Keywords: Functions, Abelian , Functions, Theta

Cornell University Library Historical Math Monographs

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Miscellaneous front pages

H. F. Baker

Cornell University Library Historical Math Monographs, - (1897). Open Access

Preface

H. F. Baker

Cornell University Library Historical Math Monographs, v-vii (1897). https://doi.org/10.3792/chmm/1605554659 Open Access

Contents

H. F. Baker

Cornell University Library Historical Math Monographs, ix-xix (1897). Open Access

Addenda: Corrigenda

H. F. Baker

Cornell University Library Historical Math Monographs, xx-xx (1897). https://doi.org/10.3792/chmm/1428686979 Open Access

Chapter I: The subject of investigation

H. F. Baker

Cornell University Library Historical Math Monographs, 1-13 (1897). https://doi.org/10.3792/chmm/1428686980 Open Access

Chapter II: The fundamental functions on a Riemann surface

H. F. Baker

Cornell University Library Historical Math Monographs, 14-26 (1897). https://doi.org/10.3792/chmm/1428686981 Open Access

Chapter III: The infinities of rational functions

H. F. Baker

Cornell University Library Historical Math Monographs, 27-46 (1897). https://doi.org/10.3792/chmm/1428686982 Open Access

Chapter IV: Specification of a general form of Riemann's integrals

H. F. Baker

Cornell University Library Historical Math Monographs, 47-79 (1897). https://doi.org/10.3792/chmm/1428686983 Open Access

Chapter V: Certain forms of the fundamental equation of the Riemann surface

H. F. Baker

Cornell University Library Historical Math Monographs, 80-112 (1897). https://doi.org/10.3792/chmm/1428686984 Open Access

Chapter VI: Geometrical investigations

H. F. Baker

Cornell University Library Historical Math Monographs, 113-167 (1897). https://doi.org/10.3792/chmm/1428686985 Open Access

Chapter VII: Coordination of simple elements. Transcendental uniform functions

H. F. Baker

Cornell University Library Historical Math Monographs, 168-206 (1897). https://doi.org/10.3792/chmm/1428686986 Open Access

Chapter VIII: Abel's theorem. Abel's differential equations

H. F. Baker

Cornell University Library Historical Math Monographs, 207-234 (1897). https://doi.org/10.3792/chmm/1428686987 Open Access

Chapter IX: Jacobi's inversion problem

H. F. Baker

Cornell University Library Historical Math Monographs, 235-245 (1897). https://doi.org/10.3792/chmm/1428686988 Open Access

Chapter X: Riemann's theta functions. General theory

H. F. Baker

Cornell University Library Historical Math Monographs, 246-295 (1897). https://doi.org/10.3792/chmm/1428686989 Open Access

Chapter XI: The hyperelliptic case of Riemann's theta functions

H. F. Baker

Cornell University Library Historical Math Monographs, 296-342 (1897). https://doi.org/10.3792/chmm/1428686990 Open Access

Chapter XII: A particular form of fundamental surface

H. F. Baker

Cornell University Library Historical Math Monographs, 343-373 (1897). https://doi.org/10.3792/chmm/1428686991 Open Access

Chapter XIII: Radical functions

H. F. Baker

Cornell University Library Historical Math Monographs, 374-392 (1897). https://doi.org/10.3792/chmm/1428686992 Open Access

Chapter XIV: Factorial functions

H. F. Baker

Cornell University Library Historical Math Monographs, 393-442 (1897). https://doi.org/10.3792/chmm/1428686993 Open Access

Chapter XV: Relations connecting products of theta functions—introductory

H. F. Baker

Cornell University Library Historical Math Monographs, 443-470 (1897). https://doi.org/10.3792/chmm/1428686994 Open Access

Chapter XVI: A direct method of obtaining the equations connecting theta products

H. F. Baker

Cornell University Library Historical Math Monographs, 471-485 (1897). https://doi.org/10.3792/chmm/1428686995 Open Access

Chapter XVII: Theta relations associated with certain groups of characteristics

H. F. Baker

Cornell University Library Historical Math Monographs, 486-527 (1897). https://doi.org/10.3792/chmm/1428686996 Open Access

Chapter XVIII: Transformation of periods, especially linear transformation

H. F. Baker

Cornell University Library Historical Math Monographs, 528-570 (1897). https://doi.org/10.3792/chmm/1428686997 Open Access

Chapter XIX: On systems of periods and on general jacobian functions

H. F. Baker

Cornell University Library Historical Math Monographs, 571-598 (1897). https://doi.org/10.3792/chmm/1428686998 Open Access

Chapter XX: Transformation of theta functions

H. F. Baker

Cornell University Library Historical Math Monographs, 599-628 (1897). https://doi.org/10.3792/chmm/1428686999 Open Access

Chapter XXI: Complex multiplication of theta functions. Correspondence of points on a Riemann surface

H. F. Baker

Cornell University Library Historical Math Monographs, 629-656 (1897). https://doi.org/10.3792/chmm/1428687000 Open Access

Chapter XXII: Degenerate Abelian integrals

H. F. Baker

Cornell University Library Historical Math Monographs, 657-663 (1897). https://doi.org/10.3792/chmm/1428687001 Open Access

Appendix I: On algebraic curves in space

H. F. Baker

Cornell University Library Historical Math Monographs, 664-665 (1897). https://doi.org/10.3792/chmm/1428687002 Open Access

Appendix II: On matrices

H. F. Baker

Cornell University Library Historical Math Monographs, 666-676 (1897). https://doi.org/10.3792/chmm/1428687003 Open Access

Index of authors quoted

H. F. Baker

Cornell University Library Historical Math Monographs, 677-678 (1897). https://doi.org/10.3792/chmm/1428687004 Open Access

Table of some functional symbols

H. F. Baker

Cornell University Library Historical Math Monographs, 679-679 (1897). https://doi.org/10.3792/chmm/1428687005 Open Access

Subject index

H. F. Baker

Cornell University Library Historical Math Monographs, 680-684 (1897). https://doi.org/10.3792/chmm/1428687006 Open Access

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