Lectures on Symplectic Geometry

· Springer
電子書
220
頁數

關於這本電子書

The goal of these notes is to provide a fast introduction to symplectic geometry for graduate students with some knowledge of differential geometry, de Rham theory and classical Lie groups.

This text addresses symplectomorphisms, local forms, contact manifolds, compatible almost complex structures, Kaehler manifolds, hamiltonian mechanics, moment maps, symplectic reduction and symplectic toric manifolds. It contains guided problems, called homework, designed to complement the exposition or extend the reader's understanding.

There are by now excellent references on symplectic geometry, a subset of which is in the bibliography of this book. However, the most efficient introduction to a subject is often a short elementary treatment, and these notes attempt to serve that purpose. This text provides a taste of areas of current research and will prepare the reader to explore recent papers and extensive books on symplectic geometry where the pace is much faster.

For this reprint numerous corrections and clarifications have been made, and the layout has been improved.

為這本電子書評分

請分享你的寶貴意見。

閱讀資訊

智能手機和平板電腦
請安裝 Android 版iPad/iPhone 版「Google Play 圖書」應用程式。這個應用程式會自動與你的帳戶保持同步,讓你隨時隨地上網或離線閱讀。
手提電腦和電腦
你可以使用電腦的網絡瀏覽器聆聽在 Google Play 上購買的有聲書。
電子書閱讀器及其他裝置
如要在 Kobo 等電子墨水裝置上閱覽書籍,你需要下載檔案並傳輸到你的裝置。請按照說明中心的詳細指示,將檔案傳輸到支援的電子書閱讀器。