Books
Silverman has written two graduate texts on elliptic curves, The Arithmetic of Elliptic Curves (1986) and Advanced Topics in the Arithmetic of Elliptic Curves (1994). For these two books he received a Steele Prize for Mathematical Exposition from the American Mathematical Society, which cited them by saying that “Silverman's volumes have become standard references on one of the most exciting areas of algebraic geometry and number theory.” Silverman has also written three undergraduate texts: Rational Points on Elliptic Curves (1992, co-authored with John Tate), A Friendly Introduction to Number Theory (3rd ed. 2005), and An Introduction to Mathematical Cryptography (2008, co-authored with Jeffrey Hoffstein and Jill Pipher). Additional graduate-level texts authored by Silverman are Diophantine Geometry: An Introduction (2000, co-authored with Marc Hindry) and The Arithmetic of Dynamical Systems (2007).
Read more about this topic: Joseph H. Silverman
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“Critics generally come to be critics not by reason of their fitness for this, but of their unfitness for anything else. Books should be tried by a judge and jury as though they were a crime, and counsel should be heard on both sides.”
—Samuel Butler (1835–1902)
“The trouble with most problem-solving books for parents is that they start with the idea that the child has a problem. Then they try to tell us how to fix the child, or else, after blaming the parent, they suggest how we can fix ourselves.”
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“Old books that have ceased to be of service should no more be abandoned than should old friends who have ceased to give pleasure.”
—Peregrine, Sir Worsthorne (b. 1923)