Modular Forms
Lloyd Kilford
Modular Forms
Lloyd Kilford
- Wydawnictwo: World Scientific Publishing Co Ltd
- Rok wydania: 2015
- ISBN: 9781783265459
- Ilość stron: 250
- Oprawa: Twarda
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Opis: Modular Forms - Lloyd Kilford
Modular Forms is a graduate student-level introduction to the classical theory of modular forms and computations involving modular forms, including modular functions and the theory of Hecke operators. It also includes applications of modular forms to various subjects, such as the theory of quadratic forms, the proof of Fermat's Last Theorem and the approximation of pi. The text gives a balanced overview of both the theoretical and computational sides of its subject, allowing a variety of courses to be taught from it.This second edition has been revised and updated. New material on the future of modular forms as well as a chapter about longer-form projects for students has also been added.Historical Overview; Introduction to Modular Forms; Results on Finite-Dimensionality; The Arithmetic of Modular Forms; Applications of Modular Forms; Modular Forms in Characteristic p; Computing with Modular Forms; The Future of Modular Forms; Appendices on MAGMA Code for Classical Modular Forms; SAGE Code for Classical Modular Forms, Hints and Answers to the Exercises;
Szczegóły: Modular Forms - Lloyd Kilford
Tytuł: Modular Forms
Autor: Lloyd Kilford
Wydawnictwo: World Scientific Publishing Co Ltd
ISBN: 9781783265459
Rok wydania: 2015
Ilość stron: 250
Oprawa: Twarda
Waga: 0.5 kg