A Concise Introduction to Classical Mechanics
暫譯: 經典力學簡明導論
Putkaradze, Vakhtang
- 出版商: Springer
- 出版日期: 2025-04-29
- 售價: $2,150
- 貴賓價: 9.5 折 $2,043
- 語言: 英文
- 頁數: 208
- 裝訂: Quality Paper - also called trade paper
- ISBN: 3031849760
- ISBN-13: 9783031849763
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相關主題
商品描述
Mechanics is one of the oldest and most foundational subjects in undergraduate curricula for mathematicians, physicists, and engineers. Traditionally taught through a classical, or "analytical," approach, modern advancements have introduced a "geometric" perspective that has found applications in diverse fields such as machine learning, climate research, satellite navigation, and more.
This book bridges the gap between classical mechanics and its modern, geometric counterpart. Designed for students and educators, it presents the essential topics typically required in mechanics courses while integrating a geometric approach to deepen understanding.
Key features include:
*Clear explanations of core concepts, including Lagrangian mechanics, variational methods, canonical transformations, and systems with constraints.
*Numerous solved problems and real-world examples to solidify understanding.
*Sample midterms and final exams to help students prepare for coursework and assessments.
*Every chapter includes a 'looking forward' section outlining modern applications of the material.
The book minimizes mathematical abstraction, introducing only the necessary concepts to make the material accessible and practical. Whether you're a student looking to master the essentials or an instructor seeking a fresh perspective, this book provides a comprehensive, approachable, and modern exploration of mechanics.
商品描述(中文翻譯)
力學是數學家、物理學家和工程師本科課程中最古老且最基礎的科目之一。傳統上，力學是通過經典的或稱為「分析」的方法來教授，但現代的進展引入了一種「幾何」的視角，並在機器學習、氣候研究、衛星導航等多個領域找到了應用。
本書彌合了經典力學與其現代幾何對應物之間的差距。該書專為學生和教育工作者設計，呈現了力學課程中通常需要的基本主題，同時整合了幾何方法以加深理解。
主要特點包括：
* 對核心概念的清晰解釋，包括拉格朗日力學、變分方法、正則變換和帶約束的系統。
* 許多已解決的問題和現實世界的例子，以鞏固理解。
* 樣本期中考和期末考，以幫助學生為課程和評估做準備。
* 每章都包括一個「展望」部分，概述該材料的現代應用。
本書最小化數學抽象，只引入必要的概念，使材料易於理解和實用。無論您是希望掌握基本知識的學生，還是尋求新視角的講師，本書都提供了一個全面、易於接近且現代的力學探索。
作者簡介
Prof Vakhtang Putkaradze received his PhD from the University of Copenhagen, Denmark, and held faculty positions in New Mexico, Colorado State University, and, most recently, at the University of Alberta, where he was a Centennial Professor between 2012-2019. From 2019 to 2022, he led the science and tech part of the Transformation Team at ATCO Ltd, first as a Senior Director and then Vice-President. After returning back to the University of Alberta, he is studying applications of geometric mechanics to neural networks, in particular, efficient computations of Hamiltonian systems using data-based techniques. His overall main topic of interest is using geometric methods in mechanics and various applications. He has received numerous prizes and awards for research and teaching, including Humboldt Fellowship, Senior JSPS fellowship, CAIMS-Fields industrial math prize and G. I. Zaslavsky prize.
作者簡介(中文翻譯)
Vakhtang Putkaradze 教授於丹麥哥本哈根大學獲得博士學位，曾在新墨西哥州、科羅拉多州立大學及最近的阿爾伯塔大學擔任教職，並於2012年至2019年間擔任百年教授。從2019年到2022年，他在 ATCO Ltd 的轉型團隊中負責科學和技術部分，最初擔任高級總監，後來升任副總裁。回到阿爾伯塔大學後，他專注於幾何力學在神經網絡中的應用，特別是使用基於數據的技術高效計算哈密頓系統。他的主要研究興趣是將幾何方法應用於力學及其各種應用。他因研究和教學獲得了多項獎項，包括洪堡獎學金、高級 JSPS 獎學金、CAIMS-Fields 工業數學獎和 G. I. Zaslavsky 獎。
