Math Made Visual
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Math Made Visual
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Author : Claudi Alsina
language : en
Publisher: MAA
Release Date : 2006-07-06
Math Made Visual written by Claudi Alsina and has been published by MAA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-07-06 with Education categories.
The object of this book is to show how visualization techniques may be employed to produce pictures that have interest for the creation, communication and teaching of mathematics. 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.' In this book the authors show that behind most of the pictures 'proving' mathematical relations are some well-understood methods. The first part of the book consists of twenty short chapters, each one describing a method to visualize some mathematical idea (a proof, a concept, an operation,...) and several applications to concrete cases. Following this the book examines general pedagogical considerations concerning the development of visual thinking, practical approaches for making visualizations in the classroom and a discussion of the role that hands-on material plays in this process.
Kidspiration In The Classroom
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Author : Meg Courtnage
language : en
Publisher:
Release Date : 2008
Kidspiration In The Classroom written by Meg Courtnage and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Reading categories.
Proofs Without Words Iii
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Author : Roger B. Nelsen
language : en
Publisher: American Mathematical Soc.
Release Date : 2015-12-31
Proofs Without Words Iii written by Roger B. Nelsen and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-12-31 with Mathematics categories.
Proofs without words (PWWs) are figures or diagrams that help the reader see why a particular mathematical statement is true, and how one might begin to formally prove it true. PWWs are not new, many date back to classical Greece, ancient China, and medieval Europe and the Middle East. PWWs have been regular features of the MAA journals Mathematics Magazine and The College Mathematics Journal for many years, and the MAA published the collections of PWWs Proofs Without Words: Exercises in Visual Thinking in 1993 and Proofs Without Words II: More Exercises in Visual Thinking in 2000. This book is the third such collection of PWWs.
Mathematics Made Visual
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Author : Donald Lee Bruyr
language : en
Publisher:
Release Date : 1957
Mathematics Made Visual written by Donald Lee Bruyr and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1957 with Geometry categories.
Cameos For Calculus
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Author : Roger B. Nelsen
language : en
Publisher: American Mathematical Soc.
Release Date : 2015-12-31
Cameos For Calculus written by Roger B. Nelsen and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-12-31 with Mathematics categories.
A thespian or cinematographer might define a cameo as a brief appearance of a known figure, while a gemologist or lapidary might define it as a precious or semiprecious stone. This book presents fifty short enhancements or supplements (the cameos) for the first-year calculus course in which a geometric figure briefly appears. Some of the cameos illustrate mainstream topics such as the derivative, combinatorial formulas used to compute Riemann sums, or the geometry behind many geometric series. Other cameos present topics accessible to students at the calculus level but not usually encountered in the course, such as the Cauchy-Schwarz inequality, the arithmetic mean-geometric mean inequality, and the Euler-Mascheroni constant. There are fifty cameos in the book, grouped into five sections: Part I. Limits and Differentiation, Part II. Integration, Part III. Infinite Series, Part IV. Additional Topics, and Part V. Appendix: Some Precalculus Topics. Many of the cameos include exercises, so Solutions to all the Exercises follows Part V. The book concludes with references and an index. Many of the cameos are adapted from articles published in journals of the MAA, such as The American Mathematical Monthly, Mathematics Magazine, and The College Mathematics Journal. Some come from other mathematical journals, and some were created for this book. By gathering the cameos into a book the [Author]; hopes that they will be more accessible to teachers of calculus, both for use in the classroom and as supplementary explorations for students.
Icons Of Mathematics An Exploration Of Twenty Key Images
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Author : Claudi Alsina
language : en
Publisher: American Mathematical Soc.
Release Date : 2020-06-01
Icons Of Mathematics An Exploration Of Twenty Key Images written by Claudi Alsina and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-06-01 with Education categories.
The authors present twenty icons of mathematics, that is, geometrical shapes such as the right triangle, the Venn diagram, and the yang and yin symbol and explore mathematical results associated with them. As with their previous books (Charming Proofs, When Less is More, Math Made Visual) proofs are visual whenever possible. The results require no more than high-school mathematics to appreciate and many of them will be new even to experienced readers. Besides theorems and proofs, the book contains many illustrations and it gives connections of the icons to the world outside of mathematics. There are also problems at the end of each chapter, with solutions provided in an appendix. The book could be used by students in courses in problem solving, mathematical reasoning, or mathematics for the liberal arts. It could also be read with pleasure by professional mathematicians, as it was by the members of the Dolciani editorial board, who unanimously recommend its publication.
Mathematics Made Easy For Children With Visual Impairment
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Author : Nihon Zaidan
language : en
Publisher:
Release Date : 2005
Mathematics Made Easy For Children With Visual Impairment written by Nihon Zaidan and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Blind children categories.
Charming Proofs
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Author : Claudi Alsina
language : en
Publisher: American Mathematical Soc.
Release Date : 2010-12-31
Charming Proofs written by Claudi Alsina and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-12-31 with Mathematics categories.
Theorems and their proofs lie at the heart of mathematics. In speaking of the purely aesthetic qualities of theorems and proofs, G. H. Hardy wrote that in beautiful proofs 'there is a very high degree of unexpectedness, combined with inevitability and economy.' Charming Proofs present a collection of remarkable proofs in elementary mathematics that are exceptionally elegant, full of ingenuity, and succinct. By means of a surprising argument or a powerful visual representation, the proofs in this collection will invite readers to enjoy the beauty of mathematics, to share their discoveries with others, and to become involved in the process of creating new proofs. Charming Proofs is organized as follows. Following a short introduction about proofs and the process of creating proofs, the authors present, in twelve chapters, a wide and varied selection of proofs they consider charming. Topics include the integers, selected real numbers, points in the plane, triangles, squares and other polygons, curves, inequalities, plane tilings, origami, colorful proofs, threedimensional geometry, etc. At the end of each chapter are some challenges that will draw the reader into the process of creating charming proofs. There are over 130 such challenges. Charming Proofs concludes with solutions to all of the challenges, references, and a complete index. As in the authors' previous books with the MAA (Math Made Visual and When Less Is More), secondary school, college, and university teachers may wish to use some of the charming proofs in their classrooms to introduce their students to mathematical elegance. Some may wish to use the book as a supplement in an introductory course on proofs, mathematical reasoning, or problem solving.
Amazing Visual Math
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Author : DK
language : en
Publisher: National Geographic Books
Release Date : 2014-06-16
Amazing Visual Math written by DK and has been published by National Geographic Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-06-16 with Juvenile Nonfiction categories.
Covering the essential math concepts learned in the first years of school, Amazing Visual Math brings a whole new dimension to learning. Amazing Visual Math is an interactive hands-on experience that makes math fun. Key curriculum subjects including shapes, patterns, telling time, lines of symmetry, addition, subtraction, measurement and more are explained through over 50 interactive elements throughout the book including pop-ups, flaps, and pull the tab elements, making an otherwise tedious subject entertaining. Ideal for developing manual dexterity skills and sharpening visual learning skills, Amazing Visual Math is a hands-on experience kids won't want to put down. Supports the Common Core State Standards.
Beautiful Geometry
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Author : Eli Maor
language : en
Publisher: Princeton University Press
Release Date : 2017-04-11
Beautiful Geometry written by Eli Maor and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-04-11 with Art categories.
An exquisite visual celebration of the 2,500-year history of geometry If you've ever thought that mathematics and art don't mix, this stunning visual history of geometry will change your mind. As much a work of art as a book about mathematics, Beautiful Geometry presents more than sixty exquisite color plates illustrating a wide range of geometric patterns and theorems, accompanied by brief accounts of the fascinating history and people behind each. With artwork by Swiss artist Eugen Jost and text by math historian Eli Maor, this unique celebration of geometry covers numerous subjects, from straightedge-and-compass constructions to intriguing configurations involving infinity. The result is a delightful and informative illustrated tour through the 2,500-year-old history of one of the most important branches of mathematics.