Lectures on Twisted Rabinowitz-Floer Homology
暫譯: 扭曲拉賓諾維茨-弗洛爾同調的講座

Bähni, Yannis

  • 出版商: Birkhauser Boston
  • 出版日期: 2026-01-30
  • 售價: $2,890
  • 貴賓價: 9.5$2,745
  • 語言: 英文
  • 頁數: 313
  • 裝訂: Hardcover - also called cloth, retail trade, or trade
  • ISBN: 3032106729
  • ISBN-13: 9783032106728
  • 相關分類: 物理學 Physics
  • 無法訂購

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商品描述

This book provides a concise and effective introduction to twisted Rabinowitz-Floer homology, a generalization of Rabinowitz-Floer homology. The theory can be used for finding periodic orbits in Hamiltonian systems: applications include results in celestial mechanics and space mission design.

Written in a style that encourages active reflection and trains problem-solving abilities, the book offers a pathway for aspiring researchers from classical mechanics formulated in the language of symplectic geometry to current research in Rabinowitz-Floer homology and neighboring areas. The book features plenty of examples and exercises, including solutions to most of them, as well as open questions and further directions for research.

商品描述(中文翻譯)

本書提供了一個簡明而有效的扭曲 Rabinowitz-Floer 同調的介紹,這是 Rabinowitz-Floer 同調的一種推廣。該理論可用於尋找哈密頓系統中的週期軌道,其應用包括天體力學和太空任務設計的結果。

本書以鼓勵積極反思和培養解決問題能力的風格撰寫,為有志於研究的讀者提供了一條從以辛幾何語言表述的經典力學到當前 Rabinowitz-Floer 同調及其相關領域的研究之路。書中包含大量範例和習題,包括大多數習題的解答,以及未解問題和進一步研究的方向。

作者簡介

Yannis Bähni works in the field of mathematics didactics at ETH Zürich. He holds a PhD in mathematics from the University of Augsburg, Germany.

作者簡介(中文翻譯)

Yannis Bähni 在蘇黎世聯邦理工學院(ETH Zürich)從事數學教學法的研究。他擁有德國奧格斯堡大學的數學博士學位。