Elliptic Curves: Function Theory, Geometry, Arithmetic

Front Cover
Cambridge University Press, Aug 13, 1999 - Mathematics - 280 pages
0 Reviews
The subject of elliptic curves is one of the jewels of nineteenth-century mathematics, whose masters were Abel, Gauss, Jacobi, and Legendre. This book presents an introductory account of the subject in the style of the original discoverers, with references to and comments about more recent and modern developments. It combines three of the fundamental themes of mathematics: complex function theory, geometry, and arithmetic. After an informal preparatory chapter, the book follows a historical path, beginning with the work of Abel and Gauss on elliptic integrals and elliptic functions. This is followed by chapters on theta functions, modular groups and modular functions, the quintic, the imaginary quadratic field, and on elliptic curves. The many exercises with hints scattered throughout the text give the reader a glimpse of further developments. Requiring only a first acquaintance with complex function theory, this book is an ideal introduction to the subject for graduate students and researchers in mathematics and physics.
 

What people are saying - Write a review

We haven't found any reviews in the usual places.

Contents

II
1
III
3
IV
7
V
8
VI
12
VII
14
VIII
16
IX
24
XLII
154
XLIII
159
XLIV
160
XLV
162
XLVI
166
XLVII
167
XLVIII
169
XLIX
172

X
27
XI
29
XII
33
XIII
46
XIV
51
XV
52
XVI
54
XVII
55
XVIII
62
XIX
65
XX
68
XXI
71
XXII
77
XXIII
81
XXIV
84
XXV
87
XXVI
89
XXVII
92
XXVIII
93
XXIX
98
XXX
104
XXXI
109
XXXII
125
XXXIII
127
XXXIV
131
XXXV
133
XXXVI
135
XXXVII
140
XXXVIII
142
XXXIX
143
XL
147
XLI
151
L
176
LI
177
LII
183
LIII
185
LIV
187
LV
189
LVI
192
LVII
198
LVIII
200
LIX
206
LXI
207
LXII
209
LXIII
212
LXIV
214
LXV
215
LXVI
217
LXVII
224
LXVIII
225
LXIX
235
LXX
237
LXXI
239
LXXII
243
LXXIII
248
LXXIV
249
LXXV
250
LXXVI
252
LXXVIII
253
LXXIX
255
LXXX
259
LXXXI
265
LXXXII
278
Copyright

Other editions - View all

Common terms and phrases

References to this book

All Book Search results »

About the author (1999)

Henry McKean is a professor in the Courant Institute of Mathematical Sciences at New York University. He is a fellow of the American Mathematical Society and in 2007 he received the Leroy P. Steele Prize for his life's work.

Bibliographic information