Introduction To Applications Of Modular Forms Av Zafer Selcuk Aygin

<P>This book introduces the theory of modular forms, from which all rational elliptic curves arise, with an eye toward the Modularity Theorem. Discussion covers elliptic curves as complex tori and as algebraic curves; modular curves as Riemann surfaces...

A graduate-level text introducing the use of exterior differential forms as a powerful tool in the analysis of a variety of mathematical problems in the physical and engineering sciences. Directed primarily to graduate-level engineers and physical scientists,...

This book provides a comprehensive account of the key theory on which the Taylor-Wiles proof of Fermat's last theorem is based, presenting an overview of the theory of automorphic forms on linear algebraic groups. The book will appeal to graduate...

<P><EM>An Introduction to Poetic Forms</EM> offers specimen discussions of poems through the lens of form. While each of its chapters does provide a standard definition of the form in question in its opening paragraphs, their main objective...