Elliptic Curves

Discover the intriguing world of number theory with Elliptic Curves by J. S. Milne, published in 2020. This comprehensive 320-page book delves into the beautiful theory of elliptic curves, providing readers with a deeper understanding of this fascinating subject. Designed for those with a foundational knowledge of algebra, complex analysis, and topology—typically covered in first-year graduate courses—this book serves as an accessible introduction to advanced mathematical concepts.

Elliptic curves, defined by cubic polynomials, have captivated mathematicians for centuries, particularly in the quest to find rational points on these curves. Milne's work not only explores the historical significance of these problems but also guides readers through the intricate relationships and applications within number theory. Whether you're a student or a seasoned mathematician, Elliptic Curves is an essential addition to your library, bridging the gap between basic principles and advanced mathematical theories.