It takes the average reader 2 hours and 24 minutes to read LMSST: 24 Lectures on Elliptic Curves by J. W. S. Cassels
Assuming a reading speed of 250 words per minute. Learn more
The study of special cases of elliptic curves goes back to Diophantos and Fermat, and today it is still one of the liveliest centers of research in number theory. This book, addressed to beginning graduate students, introduces basic theory from a contemporary viewpoint but with an eye to the historical background. The central portion deals with curves over the rationals: the Mordell-Wei finite basis theorem, points of finite order (Nagell-Lutz), etc. The treatment is structured by the local-global standpoint and culminates in the description of the Tate-Shafarevich group as the obstruction to a Hasse principle. In an introductory section the Hasse principle for conics is discussed. The book closes with sections on the theory over finite fields (the "Riemann hypothesis for function fields") and recently developed uses of elliptic curves for factoring large integers. Prerequisites are kept to a minimum; an acquaintance with the fundamentals of Galois theory is assumed, but no knowledge either of algebraic number theory or algebraic geometry is needed. The p-adic numbers are introduced from scratch. Many examples and exercises are included for the reader, and those new to elliptic curves, whether they are graduate students or specialists from other fields, will find this a valuable introduction.
LMSST: 24 Lectures on Elliptic Curves by J. W. S. Cassels is 143 pages long, and a total of 36,179 words.
This makes it 48% the length of the average book. It also has 44% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 3 hours and 17 minutes to read LMSST: 24 Lectures on Elliptic Curves aloud.
LMSST: 24 Lectures on Elliptic Curves is suitable for students ages 10 and up.
Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.
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