Mathematical Methods Using Python: Applications in Physics and Engineering
暫譯: 使用 Python 的數學方法：在物理與工程中的應用
Pagonis, Vasilis, Kulp, Christopher Wayne
- 出版商: CRC
- 出版日期: 2026-07-20
- 售價: $2,600
- 貴賓價: 9.5 折 $2,470
- 語言: 英文
- 頁數: 488
- 裝訂: Quality Paper - also called trade paper
- ISBN: 1032278382
- ISBN-13: 9781032278384
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相關分類:
Python、物理學 Physics
尚未上市，無法訂購
相關主題
商品描述
This advanced undergraduate textbook presents a new approach to teaching mathematical methods for scientists and engineers. It provides a practical, pedagogical introduction to utilizing Python in Mathematical and Computational Methods courses. Both analytical and computational examples are integrated from its start. Each chapter concludes with a set of problems designed to help students hone their skills in mathematical techniques, computer programming, and numerical analysis. The book places less emphasis on mathematical proofs, and more emphasis on how to use computers for both symbolic and numerical calculations. It contains 182 extensively documented coding examples, based on topics that students will encounter in their advanced courses in Mechanics, Electronics, Optics, Electromagnetism, Quantum Mechanics etc.
An introductory chapter gives students a crash course in Python programming and the most often used libraries (SymPy, NumPy, SciPy, Matplotlib). This is followed by chapters dedicated to differentiation, integration, vectors and multiple integration techniques. The next group of chapters covers complex numbers, matrices, vector analysis and vector spaces. Extensive chapters cover ordinary and partial differential equations, followed by chapters on nonlinear systems and on the analysis of experimental data using linear and nonlinear regression techniques, Fourier transforms, binomial and Gaussian distributions. The book is accompanied by a dedicated GitHub website, which contains all codes from the book in the form of ready to run Jupyter notebooks. A detailed solutions manual is also available for instructors using the textbook in their courses.
Key Features:
- A unique teaching approach which merges mathematical methods and the Python programming skills which physicists and engineering students need in their courses
- Uses examples and models from physical and engineering systems, to motivate the mathematics being taught
- Students learn to solve scientific problems in three different ways: traditional pen-and-paper methods, using scientific numerical techniques with NumPy and SciPy, and using Symbolic Python (SymPy).
商品描述(中文翻譯)
這本高級本科教科書提出了一種新的教學方法，專為科學家和工程師教授數學方法。它提供了一個實用的教學介紹，幫助學生在數學和計算方法課程中使用 Python。從一開始就整合了分析和計算的範例。每一章結尾都有一組問題，旨在幫助學生磨練他們在數學技術、計算機程式設計和數值分析方面的技能。這本書較少強調數學證明，而是更注重如何使用計算機進行符號和數值計算。書中包含182個詳細記錄的程式碼範例，基於學生在力學、電子學、光學、電磁學、量子力學等高級課程中會遇到的主題。
引言章節為學生提供了 Python 程式設計的速成課程，以及最常用的庫（SymPy、NumPy、SciPy、Matplotlib）。接下來的章節專注於微分、積分、向量和多重積分技術。下一組章節涵蓋複數、矩陣、向量分析和向量空間。廣泛的章節涵蓋常微分方程和偏微分方程，隨後是關於非線性系統的章節，以及使用線性和非線性回歸技術、傅立葉變換、二項分佈和高斯分佈分析實驗數據的章節。這本書還附有一個專門的 GitHub 網站，該網站包含書中所有程式碼，以可直接運行的 Jupyter 筆記本形式提供。還有一份詳細的解答手冊，供使用這本教科書的教師使用。
主要特點：
- 一種獨特的教學方法，將數學方法與物理學和工程學學生在課程中所需的 Python 程式設計技能相結合
- 使用來自物理和工程系統的範例和模型，以激發所教授的數學
- 學生學會以三種不同的方式解決科學問題：傳統的筆紙方法、使用 NumPy 和 SciPy 的科學數值技術，以及使用符號 Python（SymPy）。
作者簡介
Vasilis Pagonis is Professor of Physics Emeritus at McDaniel College, Maryland, USA. His research area is applications of thermally and optically stimulated luminescence. He taught courses in mathematical physics, classical and quantum mechanics, analog and digital electronics and numerous general science courses. Dr. Pagonis' resume lists more than 200 peer-reviewed publications in international journals. He is currently associate editor of the journal Radiation Measurements. He is co-author with Christopher Kulp of the undergraduate textbook "Classical Mechanics: a computational approach, with examples in Python and Mathematica" (CRC Press, 2020). He has also co-authored four graduate level textbooks in the field of luminescence dosimetry, and most recently published the book "Luminescence Signal analysis using Python" (Springer, 2022).
Christopher Kulp is the John P. Graham Teaching Professor of Physics at Lycoming College. He has been teaching undergraduate physics at all levels for 20 years. Dr. Kulp's research focuses on modelling complex systems, time series analysis, and machine learning. He has published 30 peer-reviewed papers in international journals, many of which include student co-authors. He is also co-author of the undergraduate textbook "Classical Mechanics: a computational approach, with examples in Python and Mathematica" (CRC Press, 2020).
作者簡介(中文翻譯)
瓦西里斯·帕戈尼斯是美國馬里蘭州麥克丹尼爾學院的名譽物理學教授。他的研究領域是熱刺激和光刺激發光的應用。他教授過數學物理、經典和量子力學、類比和數位電子學以及多門一般科學課程。帕戈尼斯博士的履歷中列出了200多篇在國際期刊上經過同行評審的出版物。他目前是期刊《輻射測量》的副編輯。他與克里斯多福·庫爾普共同撰寫了本科教科書《經典力學：計算方法，並以Python和Mathematica為例》（CRC Press，2020）。他還共同撰寫了四本關於發光劑量測的研究生教材，最近出版了《使用Python進行發光信號分析》（Springer，2022）。
克里斯多福·庫爾普是萊科明學院的約翰·P·格雷厄姆物理學教學教授。他在本科物理教學方面已有20年的經驗，涵蓋所有級別。庫爾普博士的研究專注於複雜系統建模、時間序列分析和機器學習。他在國際期刊上發表了30篇經過同行評審的論文，其中許多論文都有學生共同作者。他也是本科教科書《經典力學：計算方法，並以Python和Mathematica為例》（CRC Press，2020）的共同作者。
