World Of Patterns
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The World of Patterns
Collection of tiling patterns contains over 4,000 images combining art and mathematics.
Patterns of World History
Author: Peter Von Sivers
language: en
Publisher: Oxford University Press, USA
Release Date: 2012
Patterns of World History offers a distinct framework for understanding the global past through the study of origins, interactions, and adaptations. Authors Peter von Sivers, Charles A. Desnoyers, and George Stow--each specialists in their respective fields--examine the full range of human ingenuity over time and space in a comprehensive, even-handed, and critical fashion. The book helps students to see and understand patterns through: ORIGINS - INTERACTIONS - ADAPTATIONS These key features show the O-I-A framework in action: * Seeing Patterns, a list of key questions at the beginning of each chapter, focuses students on the 3-5 over-arching patterns, which are revisited, considered, and synthesized at the end of the chapter in Thinking Through Patterns. * Each chapter includes a Patterns Up Close case study that brings into sharp relief the O-I-A pattern using a specific idea or thing that has developed in human history (and helped, in turn, develop human history), like the innovation of the Chinese writing system or religious syncretism in India. Each case study clearly shows how an innovation originated either in one geographical center or independently in several different centers. It demonstrates how, as people in the centers interacted with their neighbors, the neighbors adapted to--and in many cases were transformed by--the idea, object, or event. Adaptations include the entire spectrum of human responses, ranging from outright rejection to creative borrowing and, at times, forced acceptance. * Concept Maps at the end of each chapter use compelling graphical representations of ideas and information to help students remember and relate the big patterns of the chapter.
Mathematics in Nature
Author: John Adam
language: en
Publisher: Princeton University Press
Release Date: 2011-10-02
From rainbows, river meanders, and shadows to spider webs, honeycombs, and the markings on animal coats, the visible world is full of patterns that can be described mathematically. Examining such readily observable phenomena, this book introduces readers to the beauty of nature as revealed by mathematics and the beauty of mathematics as revealed in nature. Generously illustrated, written in an informal style, and replete with examples from everyday life, Mathematics in Nature is an excellent and undaunting introduction to the ideas and methods of mathematical modeling. It illustrates how mathematics can be used to formulate and solve puzzles observed in nature and to interpret the solutions. In the process, it teaches such topics as the art of estimation and the effects of scale, particularly what happens as things get bigger. Readers will develop an understanding of the symbiosis that exists between basic scientific principles and their mathematical expressions as well as a deeper appreciation for such natural phenomena as cloud formations, halos and glories, tree heights and leaf patterns, butterfly and moth wings, and even puddles and mud cracks. Developed out of a university course, this book makes an ideal supplemental text for courses in applied mathematics and mathematical modeling. It will also appeal to mathematics educators and enthusiasts at all levels, and is designed so that it can be dipped into at leisure.