Making Images With Mathematics

Author : Alexei Sourin
Publisher : Unknown
Page : 0 pages
File Size : 47,5 Mb
Release : 2021
Category : Electronic
ISBN : 303069836X

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Making Images with Mathematics by Alexei Sourin Pdf

This textbook teaches readers how to turn geometry into an image on a computer screen. This exciting journey begins in the schools of the ancient Greek philosophers, and describes the major events that changed people's perception of geometry. The readers will learn how to see geometry and colors beyond simple mathematical formulas and how to represent geometric shapes, transformations and motions by digital sampling of various mathematical functions. Special multiplatform visualization software developed by the author will allow readers to explore the exciting world of visual immersive mathematics, and the book software repository will provide a starting point for their own sophisticated visualization applications. Making Images with Mathematics serves as a self-contained text for a one-semester computer graphics and visualization course for computer science and engineering students, as well as a reference manual for researchers and developers.

Author : Alexei Sourin
Publisher : Springer Nature
Page : 248 pages
File Size : 47,5 Mb
Release : 2021-06-01
Category : Computers
ISBN : 9783030698355

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Making Images with Mathematics by Alexei Sourin Pdf

This textbook teaches readers how to turn geometry into an image on a computer screen. This exciting journey begins in the schools of the ancient Greek philosophers, and describes the major events that changed people’s perception of geometry. The readers will learn how to see geometry and colors beyond simple mathematical formulas and how to represent geometric shapes, transformations and motions by digital sampling of various mathematical functions. Special multiplatform visualization software developed by the author will allow readers to explore the exciting world of visual immersive mathematics, and the book software repository will provide a starting point for their own sophisticated visualization applications. Making Images with Mathematics serves as a self-contained text for a one-semester computer graphics and visualization course for computer science and engineering students, as well as a reference manual for researchers and developers.

Author : sarah-marie belcastro,Carolyn Yackel
Publisher : CRC Press
Page : 205 pages
File Size : 52,7 Mb
Release : 2007-12-12
Category : Mathematics
ISBN : 9781439865132

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Making Mathematics with Needlework by sarah-marie belcastro,Carolyn Yackel Pdf

Mathematical craftwork has become extremely popular, and mathematicians and crafters alike are fascinated by the relationship between their crafts. The focus of this book, written for mathematicians, needleworkers, and teachers of mathematics, is on the relationship between mathematics and the fiber arts (including knitting, crocheting, cross-stitch, and quilting). Each chapter starts with an overview of the mathematics and the needlework at a level understandable to both mathematicians and needleworkers, followed by more technical sections discussing the mathematics, how to introduce the mathematics in the classroom through needlework, and how to make the needlework project, including patterns and instructions.

Author : Claudi Alsina,Roger B. Nelsen
Publisher : American Mathematical Soc.
Page : 173 pages
File Size : 55,5 Mb
Release : 2006-12-31
Category : Mathematics
ISBN : 9781614441007

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Math Made Visual by Claudi Alsina,Roger B. Nelsen Pdf

Is it possible to make mathematical drawings that help to understand mathematical ideas, proofs, and arguments? The [Author];s of this book are convinced that the answer is yes and the objective of this book is to show how some visualization techniques may be employed to produce pictures that have both mathematical and pedagogical interest. Mathematical drawings related to proofs have been produced since antiquity in China, Arabia, Greece, and India, but only in the last thirty years has there been a growing interest in so-called ``proofs without words''. Hundreds of these have been published in Mathematics Magazine and The College Mathematics Journal, as well as in other journals, books, and on the internet. Often a person encountering a ``proof without words'' may have the feeling that the pictures involved are the result of a serendipitous discovery or the consequence of an exceptional ingenuity on the part of the picture's creator. In this book, the [Author];s show that behind most of the pictures, ``proving'' mathematical relations are some well-understood methods. As the reader shall see, a given mathematical idea or relation may have many different images that justify it, so that depending on the teaching level or the objectives for producing the pictures, one can choose the best alternative.

Author : Umberto Bottazini,Amy Dahan Dalmedico
Publisher : Routledge
Page : 305 pages
File Size : 46,5 Mb
Release : 2013-06-17
Category : History
ISBN : 9781134698745

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Changing Images in Mathematics by Umberto Bottazini,Amy Dahan Dalmedico Pdf

This book focuses on some of the major developments in the history of contemporary (19th and 20th century) mathematics as seen in the broader context of the development of science and culture. Avoiding technicalities, it displays the breadth of contrasting images of mathematics favoured by different countries, schools and historical movements, showing how the conception and practice of mathematics changed over time depending on the cultural and national context. Thus it provides an original perspective for embracing the richness and variety inherent in the development of mathematics. Attention is paid to the interaction of mathematics with themes whose proper treatment have been neglected by the traditional historiography of the discipline, such as the relationship between mathematics, statistics and medicine.

Author : Jordan Ellenberg
Publisher : Penguin Press
Page : 480 pages
File Size : 55,5 Mb
Release : 2014-05-29
Category : Mathematics
ISBN : 9781594205224

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How Not to Be Wrong by Jordan Ellenberg Pdf

A brilliant tour of mathematical thought and a guide to becoming a better thinker, How Not to Be Wrong shows that math is not just a long list of rules to be learned and carried out by rote. Math touches everything we do; It's what makes the world make sense. Using the mathematician's methods and hard-won insights-minus the jargon-professor and popular columnist Jordan Ellenberg guides general readers through his ideas with rigor and lively irreverence, infusing everything from election results to baseball to the existence of God and the psychology of slime molds with a heightened sense of clarity and wonder. Armed with the tools of mathematics, we can see the hidden structures beneath the messy and chaotic surface of our daily lives. How Not to Be Wrong shows us how--Publisher's description.

Author : Ann Kajander,Jennifer Holm,Egan J Chernoff
Publisher : Springer
Page : 695 pages
File Size : 50,5 Mb
Release : 2018-10-24
Category : Education
ISBN : 9783319923901

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Teaching and Learning Secondary School Mathematics by Ann Kajander,Jennifer Holm,Egan J Chernoff Pdf

This volume brings together recent research and commentary in secondary school mathematics from a breadth of contemporary Canadian and International researchers and educators. It is both representative of mathematics education generally, as well as unique to the particular geography and culture of Canada. The chapters address topics of broad applicability such as technology in learning mathematics, recent interest in social justice contexts in the learning of mathematics, as well as Indigenous education. The voices of classroom practitioners, the group ultimately responsible for implementing this new vision of mathematics teaching and learning, are not forgotten. Each section includes a chapter written by a classroom teacher, making this volume unique in its approach. We have much to learn from one another, and this volume takes the stance that the development of a united vision, supported by both research and professional dialog, provides the first step.

Author : Jessika Sobanski
Publisher : Learning Express (NY)
Page : 0 pages
File Size : 43,7 Mb
Release : 2002
Category : Mathematics
ISBN : 1576854043

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Visual Math by Jessika Sobanski Pdf

Visual Math has been designed to allow learners to "see" why math makes sense. By combining logical math concepts with pictures, previously unclear images will fade and math will suddenly click for you. Pictures, graphs, and diagrams help you understand math questions in the areas of number concepts and properties, fractions and decimals, ratios and proportions, percents, algebra, geometry, and much more. Designed especially for students who have difficulty with conventional math rules, this book gives you step-by step instructions with pictures to help you solve math problems.

Author : Carolyn Yackel,sarah-marie belcastro
Publisher : American Mathematical Soc.
Page : 232 pages
File Size : 41,6 Mb
Release : 2018-10-31
Category : Fiberwork
ISBN : 9781470429317

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Figuring Fibers by Carolyn Yackel,sarah-marie belcastro Pdf

Pick up this book and dive into one of eight chapters relating mathematics to fiber arts! Amazing exposition transports any interested person on a mathematical exploration that is rigorous enough to capture the hearts of mathematicians. The zenith of creativity is achieved as readers are led to knit, crochet, quilt, or sew a project specifically designed to illuminate the mathematics through its physical realization. The beautiful finished pieces provide a visual understanding of the mathematics that can be shared with those who view them. If you love mathematics or fiber arts, this book is for you!

Author : Palle Jorgensen,Myung-sin Song
Publisher : World Scientific
Page : 270 pages
File Size : 48,9 Mb
Release : 2023-05-30
Category : Mathematics
ISBN : 9789811269011

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Mathematics Of Multilevel Systems: Data, Scaling, Images, Signals, And Fractals by Palle Jorgensen,Myung-sin Song Pdf

This book presents the mathematics of wavelet theory and its applications in a broader sense, comprising entropy encoding, lifting scheme, matrix factorization, and fractals. It also encompasses image compression examples using wavelet transform and includes the principal component analysis which is a hot topic on data dimension reduction in machine learning.Readers will find equal coverage on the following three themes:The book entails a varied choice of diverse interdisciplinary themes. While the topics can be found in various parts of the pure and applied literature, this book fulfills the need for an accessible presentation which cuts across the fields.As the target audience is wide-ranging, a detailed and systematic discussion of issues involving infinite dimensions and Hilbert space is presented in later chapters on wavelets, transform theory and, entropy encoding and probability. For the problems addressed there, the case of infinite dimension will be more natural, and well-motivated.

Author : Gail E. FitzSimons
Publisher : Springer Science & Business Media
Page : 280 pages
File Size : 54,9 Mb
Release : 2005-12-15
Category : Education
ISBN : 9780306476839

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What Counts as Mathematics? by Gail E. FitzSimons Pdf

This book presents an institutional study located at the intersection mathematics education and vocational education. Using the concept of technology as a unifying theme, it presents a critique of neoliberalist policies and their impact upon curriculum, teachers' work, and the apparent de-institutionalization of vocational education - with particular reference to mathematics education and the consequences for adult students as (potential) workers and citizens.

Author : Ray Appel
Publisher : Unknown
Page : 0 pages
File Size : 54,6 Mb
Release : 2016
Category : Electronic
ISBN : OCLC:1012172162

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Math Makes Sense 7 by Ray Appel Pdf

Author : Marcel Danesi
Publisher : Springer Nature
Page : 1392 pages
File Size : 44,6 Mb
Release : 2022-10-31
Category : Mathematics
ISBN : 9783031039454

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Handbook of Cognitive Mathematics by Marcel Danesi Pdf

Cognitive mathematics provides insights into how mathematics works inside the brain and how it is interconnected with other faculties through so-called blending and other associative processes. This handbook is the first large collection of various aspects of cognitive mathematics to be amassed into a single title, covering decades of connection between mathematics and other figurative processes as they manifest themselves in language, art, and even algorithms. It will be of use to anyone working in math cognition and education, with each section of the handbook edited by an international leader in that field.

Author : John Mason,Sue Johnston-Wilder
Publisher : Psychology Press
Page : 360 pages
File Size : 51,9 Mb
Release : 2004
Category : Education
ISBN : 0415326974

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Fundamental Constructs in Mathematics Education by John Mason,Sue Johnston-Wilder Pdf

This book brings together a collection of classic tasks, extracts and texts that have been quoted repeatedly in mathematics education literature.

Author : Paul Cobb
Publisher : Springer Science & Business Media
Page : 204 pages
File Size : 48,5 Mb
Release : 2013-03-09
Category : Education
ISBN : 9789401720571

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Learning Mathematics by Paul Cobb Pdf

This volume emphasizes students' inferred mathematical experiences as the starting point in the theory-building process. The book addresses conceptual constructions, including multiplicative notions, fractions, algebra, and the fundamental theorem of calculus, and theoretical constructs such as the crucial role of language and symbols, and the importance of dynamic imagery.