Introduction to Recognition and Deciphering of Patterns

 
 
CRC Press
  • 1. Auflage
  • |
  • erscheint ca. am 10. August 2020
 
  • Buch
  • |
  • Softcover
  • |
  • 144 Seiten
978-0-367-50860-9 (ISBN)
 
Introduction to Recognition and Deciphering of Patterns aims to get STEM and non-STEM students acquainted with different patterns, as well as where and when specific patterns arise. In addition, the book seeks to get students to learn how to recognize patterns and distinguish the similarities and differences between them.
Patterns emerge on an every-day basis, such as weather patterns, traffic patterns, behavioural patterns, geometric patterns, linguistic patterns, structural patterns, digital patterns, etc. Recognizing patterns and studying their unique traits is essential for the development and enhancement of our intuitive skills, and in strengthening our analytical skills. Mathematicians often apply patterns to get acquainted with new concepts, but this is a technique that can be applied across many disciplines.
Throughout this book we will encounter assorted patterns that emerge from various geometrical configurations of squares, circles, right triangles and equilateral triangles that either repeat at the same scale or at different scales. The book will also focus on describing linear patterns, geometric patterns, alternating patterns, piece-wise patterns, summation-type patterns and factorial-type patterns analytically. Deciphering the details of these distinct patterns will lead to the proof by induction method. Furthermore, the book will render properties of the Pascal's Triangle and provide supplemental practice in deciphering specific patterns and verifying them.
The book will adjourn with first order recursive relations: describing sequences as recursive relations, obtaining the general solution by solving an initial value problem and determining the periodic traits.
FEATURES

Accessible to a broad audience with limited mathematical background

Especially useful for students in non-STEM disciplines; psychology, sociology, economics & business, liberal arts disciplines, and art students
  • Englisch
  • London
  • |
  • Großbritannien
Taylor & Francis Ltd
  • Für höhere Schule und Studium
  • 115
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  • 115 farbige Abbildungen
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  • 115 color images
  • Höhe: 235 mm
  • |
  • Breite: 156 mm
978-0-367-50860-9 (9780367508609)
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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.
1. Introduction. 2. Patterns of Geometrical Systems.3. Sequences and Summations. 4.Pascal's Triangle Identities. 5. First Order Recursive Relations. 6.Periodic Traits

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