Zetetics and the Art of Mathematical Enquiry

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Author :
Publisher : Cambridge Scholars Publishing
ISBN 13 : 144385722X
Total Pages : 261 pages
Book Rating : 4.4/5 (438 download)

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Book Synopsis Zetetics and the Art of Mathematical Enquiry by : Peter Merrotsy

Download or read book Zetetics and the Art of Mathematical Enquiry written by Peter Merrotsy and published by Cambridge Scholars Publishing. This book was released on 2023-03-28 with total page 261 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics has a rich history from cultures around the world, which can extend and enrich the appreciation and learning of mathematical concepts. This book provides inspiration for mathematics educators by exploring the development of mathematical concepts from historical and cultural perspectives. It will also be of interest to general readers with an interest in mathematics. Each chapter uses original historical material to introduce a mathematical concept that is then explored through new and unusual perspectives. The book presents several new mathematical “discoveries and inventions”, and offers a re-interpretation of traditional approaches to a range of mathematical problems, doing so in a rigorous way. Topics discussed here include numeracy, the abacus, Mesopotamian mathematics, public-key cryptography, Pythagoras’ theorem, the holistic nature of trigonometry, and an introduction to integral calculus, among many others. Throughout is reflected the author’s enthusiastic style of teaching and his entertaining approach to mathematics, serving to highlight active engagement with significant mathematical problems and hands-on modelling to build deep understanding of the concepts.

Discovering Mathematics

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Publisher : Courier Corporation
ISBN 13 : 0486452999
Total Pages : 226 pages
Book Rating : 4.4/5 (864 download)

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Book Synopsis Discovering Mathematics by : A. Gardiner

Download or read book Discovering Mathematics written by A. Gardiner and published by Courier Corporation. This book was released on 2006-01-26 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: The term "mathematics" usually suggests an array of familiar problems with solutions derived from well-known techniques. Discovering Mathematics: The Art of Investigation takes a different approach, exploring how new ideas and chance observations can be pursued, and focusing on how the process invariably leads to interesting questions that would never have otherwise arisen. With puzzles involving coins, postage stamps, and other commonplace items, students are challenged to account for the simple explanations behind perplexing mathematical phenomena. Elementary methods and solutions allow readers to concentrate on the way in which the material is explored, as well as on strategies for answers that aren't immediately obvious. The problems don't require the kind of sophistication that would put them out of reach of ordinary students, but they're sufficiently complex to capture the essential features of mathematical discovery. Complete solutions appear at the end.

Mathematics and Art

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540434221
Total Pages : 364 pages
Book Rating : 4.4/5 (342 download)

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Book Synopsis Mathematics and Art by : Claude Bruter

Download or read book Mathematics and Art written by Claude Bruter and published by Springer Science & Business Media. This book was released on 2002-08-21 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent progress in research, teaching and communication has arisen from the use of new tools in visualization. To be fruitful, visualization needs precision and beauty. This book is a source of mathematical illustrations by mathematicians as well as artists. It offers examples in many basic mathematical fields including polyhedra theory, group theory, solving polynomial equations, dynamical systems and differential topology. For a long time, arts, architecture, music and painting have been the source of new developments in mathematics. And vice versa, artists have often found new techniques, themes and inspiration within mathematics. Here, while mathematicians provide mathematical tools for the analysis of musical creations, the contributions from sculptors emphasize the role of mathematics in their work.

The Art of Mathematics

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Publisher : Springer
ISBN 13 : 1489963391
Total Pages : 312 pages
Book Rating : 4.4/5 (899 download)

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Book Synopsis The Art of Mathematics by : Jerry P. King

Download or read book The Art of Mathematics written by Jerry P. King and published by Springer. This book was released on 2013-11-11 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: The beauty of mathematics eludes all but a small, select handful of people. This monumental classic will illuminate the aesthetic delights of mathematics for all to behold. Why should only a tiny aristocracy hold the key to appreciating the elegance of mathematics? Why should intelligent, cultured people, who can easily articulate the brilliance of Shakespeare's imagery, quake at the prospect of deciphering a simple algebraic formula? Jerry King, a mathematics professor and a poet, razes the barriers between a world of two cultures and hands us the tools for appreciating the art and treasures of this elegant discipline. In his fluid, poetic voice, he initiates us into the splendid wonders of the Mathworld. He provides us with an original framework for contemplating mathematics as art. He deepens our ultimate comprehension of art by comparing the beauty of a Rembrandt as well as a Jackson Pollock with the riches to be mined in an elegant proof. Like the great philosophers of the past, Dr. King searches for pure Truth--a quest possible today only in the realm of mathematics. With his infectious enthusiasm, he explains with utmost clarity the intellectually stimulating underpinnings of both pure and applied mathematics. He goes on to decry how our educational system has failed by perfunctorily teaching us mathematics, depriving us of the pillars of beauty upon which mathematics rests. Never before has a book spoken so eloquently to our soul in instilling an appreciation for the grandeur of mathematics. Through Dr. King, the muses of mathematics will no longer sing for others and not for us. The elegant world of mathematics awaits us all to savor.

The Mathematical Experience, Study Edition

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Publisher : Springer Science & Business Media
ISBN 13 : 0817682945
Total Pages : 522 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis The Mathematical Experience, Study Edition by : Philip Davis

Download or read book The Mathematical Experience, Study Edition written by Philip Davis and published by Springer Science & Business Media. This book was released on 2011-10-27 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt: Winner of the 1983 National Book Award! "...a perfectly marvelous book about the Queen of Sciences, from which one will get a real feeling for what mathematicians do and who they are. The exposition is clear and full of wit and humor..." - The New Yorker (1983 National Book Award edition) Mathematics has been a human activity for thousands of years. Yet only a few people from the vast population of users are professional mathematicians, who create, teach, foster, and apply it in a variety of situations. The authors of this book believe that it should be possible for these professional mathematicians to explain to non-professionals what they do, what they say they are doing, and why the world should support them at it. They also believe that mathematics should be taught to non-mathematics majors in such a way as to instill an appreciation of the power and beauty of mathematics. Many people from around the world have told the authors that they have done precisely that with the first edition and they have encouraged publication of this revised edition complete with exercises for helping students to demonstrate their understanding. This edition of the book should find a new generation of general readers and students who would like to know what mathematics is all about. It will prove invaluable as a course text for a general mathematics appreciation course, one in which the student can combine an appreciation for the esthetics with some satisfying and revealing applications. The text is ideal for 1) a GE course for Liberal Arts students 2) a Capstone course for perspective teachers 3) a writing course for mathematics teachers. A wealth of customizable online course materials for the book can be obtained from Elena Anne Marchisotto ([email protected]) upon request.

100 Essential Things You Didn't Know You Didn't Know about Math and the Arts

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Publisher : W. W. Norton & Company
ISBN 13 : 0393246566
Total Pages : 320 pages
Book Rating : 4.3/5 (932 download)

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Book Synopsis 100 Essential Things You Didn't Know You Didn't Know about Math and the Arts by : John D. Barrow

Download or read book 100 Essential Things You Didn't Know You Didn't Know about Math and the Arts written by John D. Barrow and published by W. W. Norton & Company. This book was released on 2015-02-23 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: An entertaining and illuminating collection of 100 surprising connections between math and the arts. At first glance, the worlds of math and the arts might not seem like comfortable neighbors. But as mathematician John D. Barrow points out, they have a strong and natural affinity—after all, math is the study of all patterns, and the world of the arts is rich with pattern. Barrow whisks us through 100 thought-provoking and often whimsical intersections between math and many arts, from the golden ratios of Mondrian’s rectangles and the curious fractal-like nature of Pollock’s drip paintings to ballerinas’ gravity-defying leaps and the next generation of monkeys on typewriters tackling Shakespeare. For those of us with our feet planted more firmly on the ground, Barrow also wields everyday equations to reveal how many guards are needed in an art gallery or where you should stand to look at sculptures. From music and drama to literature and the visual arts, Barrow’s witty and accessible observations are sure to spark the imaginations of math nerds and art aficionados alike.

Greek Mathematical Thought and the Origin of Algebra

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Publisher : Courier Corporation
ISBN 13 : 0486319814
Total Pages : 246 pages
Book Rating : 4.4/5 (863 download)

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Book Synopsis Greek Mathematical Thought and the Origin of Algebra by : Jacob Klein

Download or read book Greek Mathematical Thought and the Origin of Algebra written by Jacob Klein and published by Courier Corporation. This book was released on 2013-04-22 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: Important study focuses on the revival and assimilation of ancient Greek mathematics in the 13th-16th centuries, via Arabic science, and the 16th-century development of symbolic algebra. 1968 edition. Bibliography.

Mathematicians on Creativity

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Publisher : Mathematical Association of America
ISBN 13 : 9780883855744
Total Pages : 0 pages
Book Rating : 4.8/5 (557 download)

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Book Synopsis Mathematicians on Creativity by : Peter Borwein

Download or read book Mathematicians on Creativity written by Peter Borwein and published by Mathematical Association of America. This book was released on 2015-10-01 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: In their own words, many of the world's foremost mathematicians discuss the art and practice of their work in this book, which shines a light on some of the issues of mathematical creativity. It is neither a philosophical treatise nor the presentation of experimental results, but a compilation of reflections from top-calibre working mathematicians. This approach highlights the creative aspects of the field, illustrates the dramatic variation by individual, and hopes to express the vibrancy of creative minds at work. Organised alphabetically, this book is meant for a general audience and is best read by browsing. It can be used as a supplementary text in mathematics history and mathematics education courses.

Mathematics in Twentieth-Century Literature and Art

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Publisher : JHU Press
ISBN 13 : 1421413795
Total Pages : 181 pages
Book Rating : 4.4/5 (214 download)

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Book Synopsis Mathematics in Twentieth-Century Literature and Art by : Robert Tubbs

Download or read book Mathematics in Twentieth-Century Literature and Art written by Robert Tubbs and published by JHU Press. This book was released on 2014-07-15 with total page 181 pages. Available in PDF, EPUB and Kindle. Book excerpt: Chips away at the notion of an accidental relationship between math and art and literature. During the twentieth century, many artists and writers turned to abstract mathematical ideas to help them realize their aesthetic ambitions. Man Ray, Marcel Duchamp, and, perhaps most famously, Piet Mondrian used principles of mathematics in their work. Was it mere coincidence, or were these artists simply following their instincts, which in turn were ruled by mathematical underpinnings, such as optimal solutions for filling a space? If math exists within visual art, can it be found within literary pursuits? In short, just what is the relationship between mathematics and the creative arts? In this provocative, original exploration of mathematical ideas in art and literature, Robert Tubbs argues that the links are much stronger than previously imagined and exceed both coincidence and commonality of purpose. Not only does he argue that mathematical ideas guided the aesthetic visions of many twentieth-century artists and writers, Tubbs further asserts that artists and writers used math in their creative processes even though they seemed to have no affinity for mathematical thinking. In the end, Tubbs makes the case that art can be better appreciated when the math that inspired it is better understood. An insightful tour of the great masters of the last century and an argument that challenges long-held paradigms, Mathematics in Twentieth-Century Literature and Art will appeal to mathematicians, humanists, and artists, as well as instructors teaching the connections among math, literature, and art.

The Mathematical Basis of the Arts

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Publisher :
ISBN 13 :
Total Pages : 696 pages
Book Rating : 4.:/5 (233 download)

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Book Synopsis The Mathematical Basis of the Arts by : Joseph Schillinger

Download or read book The Mathematical Basis of the Arts written by Joseph Schillinger and published by . This book was released on 1966 with total page 696 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Bolts from the Blue

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Publisher :
ISBN 13 : 9780983051770
Total Pages : 0 pages
Book Rating : 4.0/5 (517 download)

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Book Synopsis Bolts from the Blue by : Ralph Herman Abraham

Download or read book Bolts from the Blue written by Ralph Herman Abraham and published by . This book was released on 2011 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: We have discovered a pattern for cultural bifurcations involving artists making significant contributions to the history of mathematics.How much of this material would you recognize as mathematics on the basis of your school education? How much appears on standard tests? And what kind of training best supports the development of your natural mathematical skills? How is the integration of mathematics and culture faring today? The six stories of this book-in addition to being examples of cultural ecologies, mathematical mentalities, and bolts from the blue-exhibit the integration of math and cultural history, the basis of a new way of teaching math in school.

A New English Dictionary on Historical Principles

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Publisher :
ISBN 13 :
Total Pages : 1210 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis A New English Dictionary on Historical Principles by : James Augustus Henry Murray

Download or read book A New English Dictionary on Historical Principles written by James Augustus Henry Murray and published by . This book was released on 1928 with total page 1210 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Art and Mathematics

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (596 download)

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Book Synopsis Art and Mathematics by :

Download or read book Art and Mathematics written by and published by . This book was released on 1996 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Analytic Art

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Publisher : Courier Dover Publications
ISBN 13 :
Total Pages : 468 pages
Book Rating : 4.X/5 (3 download)

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Book Synopsis The Analytic Art by : François Viète

Download or read book The Analytic Art written by François Viète and published by Courier Dover Publications. This book was released on 2006 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: This historic work consists of several treatises that developed the first consistent, coherent, and systematic conception of algebraic equations. Originally published in 1591, it pioneered the notion of using symbols of one kind (vowels) for unknowns and of another kind (consonants) for known quantities, thus streamlining the solution of equations. Francois Viète (1540-1603), a lawyer at the court of King Henry II in Tours and Paris, wrote several treatises that are known collectively as The Analytic Art. His novel approach to the study of algebra developed the earliest articulated theory of equations, allowing not only flexibility and generality in solving linear and quadratic equations, but also something completely new—a clear analysis of the relationship between the forms of the solutions and the values of the coefficients of the original equation. Viète regarded his contribution as developing a "systematic way of thinking" leading to general solutions, rather than just a "bag of tricks" to solve specific problems. These essays demonstrate his method of applying his own ideas to existing usage in ways that led to clear formulation and solution of equations.

A new dictionary of the French and English languages compiled from the dictionaries of the French Academy, Bescherelle, Littré, Beaujean, Bourguignon, etc., etc., and from the most recent works on arts and sciences

Download A new dictionary of the French and English languages compiled from the dictionaries of the French Academy, Bescherelle, Littré, Beaujean, Bourguignon, etc., etc., and from the most recent works on arts and sciences PDF Online Free

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Publisher :
ISBN 13 :
Total Pages : 1126 pages
Book Rating : 4.A/5 ( download)

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Book Synopsis A new dictionary of the French and English languages compiled from the dictionaries of the French Academy, Bescherelle, Littré, Beaujean, Bourguignon, etc., etc., and from the most recent works on arts and sciences by : Ebenezer Clifton

Download or read book A new dictionary of the French and English languages compiled from the dictionaries of the French Academy, Bescherelle, Littré, Beaujean, Bourguignon, etc., etc., and from the most recent works on arts and sciences written by Ebenezer Clifton and published by . This book was released on 1889 with total page 1126 pages. Available in PDF, EPUB and Kindle. Book excerpt:

English Mechanic and Mirror of Science and Art

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Publisher :
ISBN 13 :
Total Pages : 1290 pages
Book Rating : 4.:/5 (2 download)

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Book Synopsis English Mechanic and Mirror of Science and Art by :

Download or read book English Mechanic and Mirror of Science and Art written by and published by . This book was released on 1904 with total page 1290 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Illinois Technograph

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Publisher :
ISBN 13 :
Total Pages : 330 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis Illinois Technograph by :

Download or read book Illinois Technograph written by and published by . This book was released on 1964 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: