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 . 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.

This book presents 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 such diverse subjects as the theory of quadratic forms, the proof of Fermat's last theorem and the approximation of pi. It provides a balanced overview of both the theoretical and computational sides of the subject, allowing a variety of courses to be taught from it.

The eye-popping, gob-smacking, rib-tickling phenomenon that is QI serves up a brand new selection of 1,423 facts to bowl you over.

Iceland imports ice cubes

A group of ladybirds is called a loveliness

It is illegal in Saudi Arabia to name a child Sandi

Eight billion particles of fog can fit into a teaspoon

People who read books live longer than people who don't

Prince Philip was born on a kitchen table in Corfu

No human beings have ever had sex in space

Netflix's biggest competitor is sleep

Mice sigh up to 40 times an hour

Inspiring and eccentric English teacher John Keating (Robin Williams) provokes an outbreak of creativity and idealism amongst the stuffy Welton Academy class of 1959. However, both repressed parents and more conformist staff members protest in favour of educating the pupils in a more traditional manner, with tragic results.

Joint Liturgical Studies offers a valuable contribution to the study of liturgy. Each issue considers a particular aspect of liturgical development, such as the origins of the Roman rite, Anglican Orders, welcoming the Baptised, and Anglican Missals. It is aimed at all with an academic interest in worship. It is published twice a year in partnership with the Alcuin Club, which promotes the study of Christian liturgy, and the Group for Renewal of Worship (GROW).

"They are England s most eligible bachelors, with the most scandalous reputations. But for the right woman, even an unrepentant rogue may mend his ways "

Lady Grace Mabry s ample inheritance has made it impossible for her to tell whether a suitor is in love with her or enamored of her riches. Who better to distinguish beau from blackguard than her notorious childhood friend, the Duke of Lovingdon?

With no interest in marriage, Lovingdon has long lived only for pleasure. He sees little harm in helping Grace find a proper match. He simply has to teach the lovely innocent all the ploys a scoundrel uses to gain a woman s favor by demonstrating his wicked ways. But as lessons lead to torrid passion and Grace becomes ensnared in another man s marriage plot, Lovingdon must wage a desperate gamble: open his heart fully or risk losing the woman he adores.