The Mathematics of Patterns, Symmetries, and Beauties in Nature

The Mathematics of Patterns, Symmetries, and Beauties in Nature PDF Author: Bourama Toni
Publisher: Springer Nature
ISBN: 3030845966
Category : Science
Languages : en
Pages : 150

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Book Description
This unique book gathers various scientific and mathematical approaches to and descriptions of the natural and physical world stemming from a broad range of mathematical areas – from model systems, differential equations, statistics, and probability – all of which scientifically and mathematically reveal the inherent beauty of natural and physical phenomena. Topics include Archimedean and Non-Archimedean approaches to mathematical modeling; thermography model with application to tungiasis inflammation of the skin; modeling of a tick-Killing Robot; various aspects of the mathematics for Covid-19, from simulation of social distancing scenarios to the evolution dynamics of the coronavirus in some given tropical country to the spatiotemporal modeling of the progression of the pandemic. Given its scope and approach, the book will benefit researchers and students of mathematics, the sciences and engineering, and everyone else with an appreciation for the beauty of nature. The outcome is a mathematical enrichment of nature’s beauty in its various manifestations. This volume honors Dr. John Adam, a Professor at Old Dominion University, USA, for his lifetime achievements in the fields of mathematical modeling and applied mathematics. Dr. Adam has published over 110 papers and authored several books.

The Mathematics of Patterns, Symmetries, and Beauties in Nature

The Mathematics of Patterns, Symmetries, and Beauties in Nature PDF Author: Bourama Toni
Publisher: Springer Nature
ISBN: 3030845966
Category : Science
Languages : en
Pages : 150

Get Book Here

Book Description
This unique book gathers various scientific and mathematical approaches to and descriptions of the natural and physical world stemming from a broad range of mathematical areas – from model systems, differential equations, statistics, and probability – all of which scientifically and mathematically reveal the inherent beauty of natural and physical phenomena. Topics include Archimedean and Non-Archimedean approaches to mathematical modeling; thermography model with application to tungiasis inflammation of the skin; modeling of a tick-Killing Robot; various aspects of the mathematics for Covid-19, from simulation of social distancing scenarios to the evolution dynamics of the coronavirus in some given tropical country to the spatiotemporal modeling of the progression of the pandemic. Given its scope and approach, the book will benefit researchers and students of mathematics, the sciences and engineering, and everyone else with an appreciation for the beauty of nature. The outcome is a mathematical enrichment of nature’s beauty in its various manifestations. This volume honors Dr. John Adam, a Professor at Old Dominion University, USA, for his lifetime achievements in the fields of mathematical modeling and applied mathematics. Dr. Adam has published over 110 papers and authored several books.

The Evolution of Research on Teaching Mathematics

The Evolution of Research on Teaching Mathematics PDF Author: Agida Manizade
Publisher: Springer Nature
ISBN: 3031311930
Category : Education
Languages : en
Pages : 380

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Book Description
This open access book investigates current issues related to the evolution of research on teaching mathematics and examines up to thirty years of presage-process-product research (PPPR) in mathematics with respect to conceptualization, instrumentation, and design. The book discusses the theoretical and methodological challenges associated with PPPR, critically reviews current research, and explores the likely direction of further developments to identify future paths for research on high-quality mathematics teaching in the digital era. Subjects that are covered in this work focus on the relationships between 1) student learning outcomes measured upon completion of the mathematics teaching; 2) student learning activities in the classroom; 3) interactive mathematics teacher activities, and best practices in mathematics classrooms conducted in the presence of students; 4) pre-post-active mathematics teacher activities such as planning, assessment, and other teaching-related activities outside of the classroom; 5) mathematics teachers’ competencies, knowledge, and skills; and 6) mathematics teachers’ characteristics, including beliefs, attitudes, and motivation. This book discusses the evolution of such research in mathematics teaching and teacher education in the digital era and is of interest to researchers exploring the field of mathematics teaching and mathematics teacher education as well as educators.

Geo-Topology

Geo-Topology PDF Author: Fivos Papadimitrou
Publisher: Springer Nature
ISBN: 3031481852
Category : Social Science
Languages : en
Pages : 192

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Book Description
Geo-Topology is an exploration of the depth and breadth of the relationships between Geography and Topology, with applications ranging from Landscape Geography to Social Geography and from Spatial Analysis to Geospatial Technologies. It shows how topics of geographical research (landscapes, borders, spatial social relationships etc) can be examined by using mathematical concepts and methods of Topology, exposing the realm of geo-topological modelling and visualization through Point-Set Topology, Knot Theory, Reeb graphs, Topological Surfaces (i.e. Möbius bands and Klein bottles), Differential Topology, Network Analysis, Combinatorial Topology, Braid Theory and Ultrametric Topology. Besides geographers, this book is a trove of new ideas for landscape ecologists, mathematicians, data scientists, sociologists, psychologists, anthropologists and educators. Geo-Topology is a systematic introduction to topological thinking in Geography, also by highlighting the significance of Topology for Geographical Education, as well as for the Philosophy and Epistemology of Geography.

Omics Approaches and Technologies in COVID-19

Omics Approaches and Technologies in COVID-19 PDF Author: Debmalya Barh
Publisher: Academic Press
ISBN: 0323986218
Category : Medical
Languages : en
Pages : 464

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Book Description
The COVID-19 pandemic has affected the entire world in an unprecedented way since 2019. However, novel and innovative applications of various omics, computational, and smart technologies have helped manage the pandemic of the 21st century in a very effective manner. Omics approaches and technologies in COVID-19 presents up-to-date knowledge on omics, genetic engineering, mathematical and computational approaches, and advanced technologies in the diagnosis, prevention, monitoring, and management of COVID-19. This book contains 26 chapters written by academic and industry experts from more than 15 countries. Split into three sections (Omics; Artificial Intelligence and Bioinformatics; and Smart and Emerging Technologies), it brings an overview of novel technologies under omics such as, genomic, metagenomic, pangenomic, metabolomics and proteomics in COVID-19. In addition, it discusses hostpathogen interactions and interactomics, management options, application of genetic engineering, mathematical modeling andsimulations, systems biology, and bioinformatics approaches in COVID-19 drug discovery and vaccine development. This is a valuable resource for students, biotechnologists, bioinformaticians, virologists, clinicians, and pharmaceutical, biomedical, and healthcare industry people who want to understand the promising omics and other technologies used in combating COVID-19 from various aspects. - Provides novel technologies for rapid diagnostics, drug discovery, vaccine development, monitoring, prediction of future waves, etc. - Describes various omics applications including genomics, metagenomics, epigenomics, nutrigenomics, transcriptomics,miRNAomics, proteomics, metabolomics, phenomics, multiomics, etc., in COVID-19 - Presents applications of genetic engineering, CRISPR, artificial intelligence, mathematical and in silico modeling, systems biology,and other computational approaches in COVID-19 - Discusses emerging, digital, and smart technologies for the monitoring and management of COVID-19

The Mathematics of Patterns, Symmetries, and Beauties in Nature

The Mathematics of Patterns, Symmetries, and Beauties in Nature PDF Author: Bourama Toni
Publisher: Springer
ISBN: 9783030922948
Category : Science
Languages : en
Pages : 0

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Book Description
This unique book gathers various scientific and mathematical approaches to and descriptions of the natural and physical world stemming from a broad range of mathematical areas – from model systems, differential equations, statistics, and probability – all of which scientifically and mathematically reveal the inherent beauty of natural and physical phenomena. Topics include Archimedean and Non-Archimedean approaches to mathematical modeling; thermography model with application to tungiasis inflammation of the skin; modeling of a tick-Killing Robot; various aspects of the mathematics for Covid-19, from simulation of social distancing scenarios to the evolution dynamics of the coronavirus in some given tropical country to the spatiotemporal modeling of the progression of the pandemic. Given its scope and approach, the book will benefit researchers and students of mathematics, the sciences and engineering, and everyone else with an appreciation for the beauty of nature. The outcome is a mathematical enrichment of nature’s beauty in its various manifestations. This volume honors Dr. John Adam, a Professor at Old Dominion University, USA, for his lifetime achievements in the fields of mathematical modeling and applied mathematics. Dr. Adam has published over 110 papers and authored several books.

The Beauty of Numbers in Nature

The Beauty of Numbers in Nature PDF Author: Ian Stewart
Publisher:
ISBN: 9781782404712
Category :
Languages : en
Pages : 224

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Book Description
Think of a zebra's stripes, the complexities of a spider's web, the uniformity of desert dunes, or the spirals in a sunflower head ... think of a snowflake. The Beauty of Numbers in Nature shows how life on Earth forms the principles of mathematics. Starting with the simplest patterns, each chapter looks at a different kind of patterning system and the mathematics that underlies it. In doing so the book also uncovers some universal patterns, both in nature and man-made, from the basic geometry of ancient Greece to the visually startling fractals that we are familiar with today. Elegantly illustrated, The Beauty of Numbers in Nature is an illuminating and engaging vision of how the apparently cold laws of mathematics find expression in the beauty of nature.

Nature's Numbers

Nature's Numbers PDF Author: Ian Stewart
Publisher: Basic Books
ISBN: 0786723920
Category : Science
Languages : en
Pages : 179

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Book Description
"It appears to us that the universe is structured in a deeply mathematical way. Falling bodies fall with predictable accelerations. Eclipses can be accurately forecast centuries in advance. Nuclear power plants generate electricity according to well-known formulas. But those examples are the tip of the iceberg. In Nature's Numbers, Ian Stewart presents many more, each charming in its own way.. Stewart admirably captures compelling and accessible mathematical ideas along with the pleasure of thinking of them. He writes with clarity and precision. Those who enjoy this sort of thing will love this book."—Los Angeles Times

Symmetry

Symmetry PDF Author: Marcus Du Sautoy
Publisher: Harper Collins
ISBN: 0061863351
Category : Mathematics
Languages : en
Pages : 2

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Book Description
A mathematician takes us on “a pilgrimage through the uncanny world of symmetry [in] a dramatically presented and polished treasure of theories” (Kirkus Reviews). Symmetry is all around us. Of fundamental significance to the way we interpret the world, this unique, pervasive phenomenon indicates a dynamic relationship between objects. Combining a rich historical narrative with his own personal journey as a mathematician, Marcus du Sautoy—a writer “able to engage general readers in the cerebral dramas of pure mathematics” (Booklist)—takes a unique look into the mathematical mind as he explores deep conjectures about symmetry and brings us face-to-face with the oddball mathematicians, both past and present, who have battled to understand symmetry’s elusive qualities. “The author takes readers gently by the hand and leads them elegantly through some steep and rocky terrain as he explains the various kinds of symmetry and the objects they swirl around. Du Sautoy explains how this twirling world of geometric figures has strange but marvelous connections to number theory, and how the ultimate symmetrical object, nicknamed the Monster, is related to string theory. This book is also a memoir in which du Sautoy describes a mathematician’s life and how one makes a discovery in these strange lands. He also blends in minibiographies of famous figures like Galois, who played significant roles in this field.” —Publishers Weekly “Fascinating and absorbing.” —The Economist “Impressively, he conveys the thrill of grasping the mathematics that lurk in the tile work of the Alhambra, or in palindromes, or in French mathematician Évariste Galois’s discovery of the interactions between the symmetries in a group.” —Kirkus Reviews

Beauty in Mathematics: Symmetry and Fractality

Beauty in Mathematics: Symmetry and Fractality PDF Author: Vladimir A. Testov
Publisher: Infinite Study
ISBN:
Category : Juvenile Nonfiction
Languages : en
Pages : 13

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Book Description
The most important concepts underlying beauty are the concepts of symmetry and fractality, but the relationship of these concepts has not yet remained clear. For centuries, beauty was understood only as a stable order and symmetry. Synergetic worldview allows us to give a new assessment: beauty can be seen as an attractor, the result of self-organization of nature, or the flight of human thought. On the one hand, fractality can be considered one of the manifestations of symmetry in an expansive sense.

Mathematics in Nature

Mathematics in Nature PDF Author: John Adam
Publisher: Princeton University Press
ISBN: 1400841011
Category : Mathematics
Languages : en
Pages : 408

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Book Description
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.