Piece-Wise and Max-Type Difference Equations: Periodic and Eventually Periodic Solutions
暫譯: 分段與最大型差分方程：週期解與最終週期解
Radin, Michael A.
- 出版商: CRC
- 出版日期: 2020-09-24
- 售價: $5,500
- 貴賓價: 9.5 折 $5,225
- 語言: 英文
- 頁數: 168
- 裝訂: Hardcover - also called cloth, retail trade, or trade
- ISBN: 1138313505
- ISBN-13: 9781138313507
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相關主題
商品描述
Piece-wise and Max-Type Difference Equations: Periodic and Eventually Periodic Solutions is intended for lower-level undergraduate students studying discrete mathematics.
The book focuses on sequences as recursive relations and then transitions to periodic recursive patterns and eventually periodic recursive patterns. In addition to this, it will also focus on determining the patterns of periodic and eventually periodic solutions inductively. The aim of the author, throughout this book, is to get students to understand the significance of pattern recognition as a mathematical tool.
Key Features
- Can provide possible topics for undergraduate research and for bachelor's thesis
- Provides supplementary practice problems and some open-ended research problems at the end of each chapter
- Focusses on determining the patterns of periodic and eventually periodic solutions inductively
- Enhances students' algebra skills before moving forward to upper level courses
- Familiarize students with the topics before they start undergraduate research by providing applications.
商品描述(中文翻譯)
《分段與最大型差分方程：週期性與最終週期性解》旨在為學習離散數學的低年級本科生提供指導。
本書專注於將序列視為遞迴關係，然後過渡到週期性遞迴模式和最終週期性遞迴模式。此外，還將重點放在以歸納法確定週期性和最終週期性解的模式。作者在整本書中的目標是讓學生理解模式識別作為數學工具的重要性。
**主要特點**
- 可以提供本科研究和學士論文的可能主題
- 在每章結尾提供補充練習題和一些開放式研究問題
- 專注於以歸納法確定週期性和最終週期性解的模式
- 在進入高級課程之前增強學生的代數技能
- 通過提供應用案例，使學生在開始本科研究之前熟悉相關主題。
作者簡介
Michael A. Radin earned his Ph.D. at the University of Rhode Island in 2001 and is currently an associate professor of mathematics at the Rochester Institute of Technology. Michael started his journey analyzing difference equations that portray periodic and eventually periodic solutions as part of his Ph.D. thesis and has several publications on boundedness and periodic nature of solutions of rational difference equations, max-type difference equations and piecewise difference equations. Michael published several papers together with his Master's students and undergraduate students at RIT and has publications with students and colleagues from Riga Technical University and the University of Latvia.
Michael also has publications in applied mathematics and related topics such as Neural Networking, Modelling Extinct Civilizations and Modelling Human Emotions. In addition, Michael organized numerous sessions on difference equations and applications at the annual American Mathematical Society meetings and presents his research at international conferences as the Conference on Mathematical Modelling and Analysis and the Volga Neuroscience Meeting. Recently Michael published four manuscripts on international pedagogy and has been invited as one of the keynote speakers at several international and interdisciplinary conferences such as the International Scientific Conference Society, Integration and Education held annually at the Rezekne Technical Academy in Latvia. Michael taught courses and conducted seminars on these related topics during his spring 2009 sabbatical at the Aegean University in Greece and during his spring 2016 sabbatical at Riga Technical University in Latvia. In addition, Michael taught a new course on "Introduction to Recognition of Patterns and Deciphering of Patterns" at Rezekne Technical Academy in Rezekne, Latvia in May 2019. Michael's aim is to inspire students to learn.
Recently, Michael had the opportunity to implement his hands-on teaching and learning style in the courses that he regularly teaches at RIT and during his spring 2016 sabbatical in Latvia. This method confirmed to work very successfully for him and his students, kept the students stimulated and engaged and improved their course performance ([26], [23]).
During his spare time Michael spends time outdoors and is an avid landscape photographer. In addition, Michael is an active poet and has several published poems about nature in the LeMot Juste. Furthermore, Michael published an article on "Re-Photographing the Baltic Sea Scenery in Liepaja:
Why photograph the same scenery multiple times" in the Journal of Humanities and Arts 2018. Michael also recently published a book on "Poetic Landscape Photography" with JustFiction Edition 2019. Spending time outdoors and active landscape photography widens and expands Michael's understandings of nature's patterns and cadences
作者簡介(中文翻譯)
Michael A. Radin 於2001年在羅德島大學獲得博士學位，目前是羅徹斯特理工學院的數學副教授。Michael 在其博士論文中開始分析描繪週期性及最終週期性解的差分方程，並在有界性和有理差分方程、最大型差分方程及分段差分方程的解的週期性質方面發表了多篇論文。Michael 與他的碩士生和本科生在RIT共同發表了幾篇論文，並與來自里加技術大學和拉脫維亞大學的學生和同事有合作發表。
Michael 也在應用數學及相關主題上發表了論文，例如神經網絡、模擬滅絕文明和模擬人類情感。此外，Michael 在美國數學學會的年會上組織了多場有關差分方程及其應用的會議，並在國際會議上展示他的研究，如數學建模與分析會議及伏爾加神經科學會議。最近，Michael 發表了四篇有關國際教育學的手稿，並受邀成為幾個國際及跨學科會議的主題演講者，例如每年在拉脫維亞的雷澤克內技術學院舉辦的國際科學會議社會、整合與教育。Michael 在2009年春季的希臘愛琴海大學及2016年春季的拉脫維亞里加技術大學的休假期間，教授了與這些相關主題的課程和研討會。此外，Michael 在2019年5月於拉脫維亞雷澤克內技術學院教授了一門名為「模式識別與解碼入門」的新課程。Michael 的目標是激勵學生學習。
最近，Michael 有機會在他定期教授的課程中以及在2016年春季的拉脫維亞休假期間實施他的實踐教學和學習風格。這種方法證明對他和他的學生非常成功，保持了學生的興趣和參與，並改善了他們的課程表現 ([26], [23])。
在空閒時間，Michael 喜歡戶外活動，是一位熱衷的風景攝影師。此外，Michael 也是一位活躍的詩人，並在 LeMot Juste 發表了幾首有關自然的詩。更進一步，Michael 在2018年的人文與藝術期刊上發表了一篇名為「重新攝影利耶帕亞的波羅的海風景：為什麼要多次拍攝相同的風景」的文章。Michael 最近還於2019年出版了一本名為「詩意風景攝影」的書籍，與 JustFiction Edition 合作。戶外活動和積極的風景攝影擴展了 Michael 對自然模式和韻律的理解。
