Teaching and Research in Mathematics: A Guide with Applications to Industry
暫譯: 數學教學與研究：應用於產業的指南

Fatheddin, Parisa

Teaching and Research in Mathematics: A Guide with Applications to Industry
  • 出版商: CRC
  • 出版日期: 2022-08-26
  • 售價: $1,770
  • 貴賓價: 9.5 折 $1,682
  • 語言: 英文
  • 頁數: 208
  • 裝訂: Quality Paper - also called trade paper
  • ISBN: 1032289112
  • ISBN-13: 9781032289113

    • 海外代購書籍(需單獨結帳)

相關主題

商品描述

This insightful Guide is meant to serve any and all interested in pursuing a career in mathematics education and research. The author's goal and the book's theme is to help students and others make a smooth transition to teachers and researchers of mathematics.

Part I presents helpful techniques on teaching and conducting research. This innovative book also offers strategies on how to observe from and develop research methods, carry out research, and begin writing research papers. It includes an introduction to LaTeX, the most widely used mathematics typesetting and rendering computer program.

Part II introduces some modern research in mathematics in various industries. The aim in is to expose the reader to modern applications and help him/her become acquainted with research papers and how to read and understand them.

Authored by a young teacher and researcher, also beginning her career, this book is written by and for young mathematicians. Most graduate students as she experienced, are not given a proper transitory introduction to research and are not taught the how in teaching, attending conferences and collaborating. The book is based on the author's own observations and on techniques she has found effective.

Mathematics graduate students and those in related fields will find assistance to help them reflect on and advance their career pursuits. Advisors and mentors might also find useful suggestions here.

Table of Contents

Part I: Teaching and Conducting Research

Teaching

Research and the Publication Process

Conferences and Collaborations

Transition to Reading and Writing Research Papers

Preparing Documents in Latex

Part II: Modern Applications in Industry

PageRank in GoogleSpectrum of the Google Matrix

Schrödinger Equation in Laser Technology

Stochastic Navier-Stokes Equation in Fluids

Biography

Parisa Fatheddin holds a Ph.D from University of Tennessee, Knoxville. She is currently a Senior Lecturer of Mathematics at Ohio State University, Marion. Her primary research area is in Stochastic Partial Differential Equations, in which she has contributed results published in Stochastic Analysis and Applications, Stochastic Processes and Applications, Journal of Applied Probability and Journal of Stochastic Analysis. She has completed Postdoctoral Fellowships at Air Force Institute of Technology and University of Pittsburgh.

商品描述(中文翻譯)

這本具啟發性的指南旨在服務所有有興趣追求數學教育和研究職業的人。作者的目標和本書的主題是幫助學生及其他人順利過渡成為數學的教師和研究者。

第一部分提供了有關教學和進行研究的有用技術。這本創新的書籍還提供了如何觀察和發展研究方法、進行研究以及開始撰寫研究論文的策略。它還包括對LaTeX的介紹，這是最廣泛使用的數學排版和渲染計算機程序。

第二部分介紹了各行各業中一些現代數學研究。其目的是讓讀者接觸現代應用，並幫助他/她熟悉研究論文以及如何閱讀和理解它們。

這本書由一位年輕的教師和研究者撰寫，她也在開始她的職業生涯。這本書是由年輕的數學家為年輕的數學家所寫。大多數研究生，如她所經歷的，並未獲得適當的過渡性研究介紹，也未學會如何進行教學、參加會議和合作。這本書基於作者自己的觀察和她發現有效的技術。

數學研究生及相關領域的人將會找到幫助他們反思和推進職業追求的資源。顧問和導師也可能在此找到有用的建議。

目錄

第一部分：教學和進行研究

教學

研究與出版過程

會議與合作

過渡到閱讀和撰寫研究論文

在LaTeX中準備文件

第二部分：行業中的現代應用

Google中的PageRank

Google矩陣的頻譜

激光技術中的薛丁格方程

流體中的隨機Navier-Stokes方程

傳記

Parisa Fatheddin擁有田納西大學（University of Tennessee, Knoxville）的博士學位。她目前是俄亥俄州立大學（Ohio State University, Marion）的數學高級講師。她的主要研究領域是隨機偏微分方程，並在隨機分析與應用（Stochastic Analysis and Applications）、隨機過程與應用（Stochastic Processes and Applications）、應用概率期刊（Journal of Applied Probability）和隨機分析期刊（Journal of Stochastic Analysis）上發表了研究成果。她曾在空軍技術學院（Air Force Institute of Technology）和匹茲堡大學（University of Pittsburgh）完成博士後研究。

作者簡介

Parisa Fatheddin is a senior lecturer at the Ohio State University, Marion, where she teaches various courses and conducts research in Mathematics. Her main area of research is stochastic partial differential equations, in which she has contributed to the literature by publishing results on stochastic Navier-Stokes and Schrodinger equations in well-established journals in stochastic Analysis. Dr. Fatheddin is also active in research in applied fields such as in optics and cyber security. As a visiting assistant professor at the Air Force Institute of Technology, she became involved in an optics laboratory and made a publication on her research results in the journal of Optics Communications. She also held a visiting position at the University of Pittsburgh, where she collaborated with well-known mathematicians in fluid dynamics and taught many courses. In the field of cyber security, Dr. Fatheddin has contributed a chapter to the textbook, Mathematics in Cyber Research, explaining modern research that use differential equations to model the spread of computer virus. Dr. Fatheddin has taught for ten years and continues to help undergraduate and graduate students find their purpose in studying Mathematics.

作者簡介(中文翻譯)

Parisa Fatheddin 是俄亥俄州立大學馬里昂分校的高級講師，教授各種數學課程並進行研究。她的主要研究領域是隨機偏微分方程，並在隨機分析的知名期刊上發表了有關隨機 Navier-Stokes 方程和薛丁格方程的研究成果。Fatheddin 博士在應用領域如光學和網路安全方面也積極從事研究。作為空軍技術學院的訪問助理教授，她參與了一個光學實驗室，並在《Optics Communications》期刊上發表了她的研究成果。她還曾在匹茲堡大學擔任訪問職位，與流體力學領域的知名數學家合作並教授多門課程。在網路安全領域，Fatheddin 博士為教科書《Mathematics in Cyber Research》撰寫了一章，解釋了使用微分方程來模擬電腦病毒擴散的現代研究。Fatheddin 博士已教授十年，並持續幫助本科生和研究生找到學習數學的目的。

類似商品