A Mathematical Picture Book
暫譯: 數學圖畫書

Glaeser, Georg, Polthier, Konrad, Kramer, David P.

A Mathematical Picture Book
  • 出版商: Springer
  • 出版日期: 2026-10-26
  • 售價: $2,880
  • 貴賓價: 9.5 折 $2,736
  • 語言: 英文
  • 頁數: 339
  • 裝訂: Hardcover - also called cloth, retail trade, or trade
  • ISBN: 3642146473
  • ISBN-13: 9783642146473

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商品描述

How can one visualize a curve that fills the entire plane or all of space? Can a polyhedron be smoothly turned inside out? What is the projective plane? What does four-dimensional space look like? Can soap bubbles exist that are not spherical? How can one better understand the structure of vortices and currents? In this book you will experience mathematics from the visual point of view, discovering fascinating and never previously published images that offer illustrative examples to the above questions. Every picture is accompanied by a brief explanatory text, references to further reading, and a number of web links where you can obtain further information. This book is intended for all friends of mathematics--students, teachers, amateurs, and professionals--who want to see something beyond dry text and endless formulas. It will provide inspiration for pursuing further one or another topic that may previously have seemed inaccessible. You will get to know mathematics from a totally new and colorful viewpoint.

商品描述(中文翻譯)

如何可視化一條填滿整個平面或所有空間的曲線？多面體能否平滑地翻轉內外？什麼是射影平面？四維空間看起來是什麼樣子？是否存在非球形的肥皂泡？如何更好地理解漩渦和電流的結構？在這本書中，您將從視覺的角度體驗數學，發現迷人且從未發表過的圖像，這些圖像提供了上述問題的說明性範例。每幅圖片都附有簡短的解釋文本、進一步閱讀的參考資料，以及一些網頁鏈接，您可以在那裡獲取更多信息。本書旨在為所有數學愛好者——學生、教師、業餘愛好者和專業人士——提供一個超越枯燥文本和無盡公式的視野。它將激發您進一步探索某些之前可能看似無法接觸的主題。您將從全新且多彩的視角認識數學。

作者簡介

Georg Glaeser is professor of mathematics and geometry at the University of Applied Art in Vienna and the author of numerous books on computational geometry. Konrad Polthier is professor of mathematics at the Free University of Berlin and the DFG Research Center Matheon. Springer has published a number of his books on mathematical visualization as well as entertaining videos on mathematics, including the prizewinning MESH and the collection of films from the MathFilm Festival 2008.

作者簡介(中文翻譯)

喬治·格萊瑟（Georg Glaeser）是維也納應用藝術大學的數學與幾何學教授，也是計算幾何方面的多本書籍的作者。康拉德·波爾提爾（Konrad Polthier）是柏林自由大學的數學教授及DFG研究中心Matheon的成員。施普林格（Springer）出版了他多本關於數學可視化的書籍，以及一些有趣的數學影片，包括獲獎的《MESH》和2008年數學電影節的影片集。

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