Algebra in Context

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Publisher : JHU Press
ISBN 13 : 1421417294
Total Pages : 553 pages
Book Rating : 4.4/5 (214 download)

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Book Synopsis Algebra in Context by : Amy Shell-Gellasch

Download or read book Algebra in Context written by Amy Shell-Gellasch and published by JHU Press. This book was released on 2015-10-15 with total page 553 pages. Available in PDF, EPUB and Kindle. Book excerpt: An engaging new approach to teaching algebra that takes students on a historical journey from its roots to modern times. This book’s unique approach to the teaching of mathematics lies in its use of history to provide a framework for understanding algebra and related fields. With Algebra in Context, students will soon discover why mathematics is such a crucial part not only of civilization but also of everyday life. Even those who have avoided mathematics for years will find the historical stories both inviting and gripping. The book’s lessons begin with the creation and spread of number systems, from the mathematical development of early civilizations in Babylonia, Greece, China, Rome, Egypt, and Central America to the advancement of mathematics over time and the roles of famous figures such as Descartes and Leonardo of Pisa (Fibonacci). Before long, it becomes clear that the simple origins of algebra evolved into modern problem solving. Along the way, the language of mathematics becomes familiar, and students are gradually introduced to more challenging problems. Paced perfectly, Amy Shell-Gellasch and J. B. Thoo’s chapters ease students from topic to topic until they reach the twenty-first century. By the end of Algebra in Context, students using this textbook will be comfortable with most algebra concepts, including • Different number bases • Algebraic notation • Methods of arithmetic calculation • Real numbers • Complex numbers • Divisors • Prime factorization • Variation • Factoring • Solving linear equations • False position • Solving quadratic equations • Solving cubic equations • nth roots • Set theory • One-to-one correspondence • Infinite sets • Figurate numbers • Logarithms • Exponential growth • Interest calculations

Reckonings

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Author :
Publisher : MIT Press
ISBN 13 : 026236087X
Total Pages : 265 pages
Book Rating : 4.2/5 (623 download)

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Book Synopsis Reckonings by : Stephen Chrisomalis

Download or read book Reckonings written by Stephen Chrisomalis and published by MIT Press. This book was released on 2020-12-15 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: Insights from the history of numerical notation suggest that how humans write numbers is an active choice involving cognitive and social factors. Over the past 5,000 years, more than 100 methods of numerical notation--distinct ways of writing numbers--have been developed and used by specific communities. Most of these are barely known today; where they are known, they are often derided as cognitively cumbersome and outdated. In Reckonings, Stephen Chrisomalis considers how humans past and present use numerals, reinterpreting historical and archaeological representations of numerical notation and exploring the implications of why we write numbers with figures rather than words.

A Tour of the Calculus

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Publisher : Vintage
ISBN 13 : 030778973X
Total Pages : 353 pages
Book Rating : 4.3/5 (77 download)

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Book Synopsis A Tour of the Calculus by : David Berlinski

Download or read book A Tour of the Calculus written by David Berlinski and published by Vintage. This book was released on 2011-04-27 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: Were it not for the calculus, mathematicians would have no way to describe the acceleration of a motorcycle or the effect of gravity on thrown balls and distant planets, or to prove that a man could cross a room and eventually touch the opposite wall. Just how calculus makes these things possible and in doing so finds a correspondence between real numbers and the real world is the subject of this dazzling book by a writer of extraordinary clarity and stylistic brio. Even as he initiates us into the mysteries of real numbers, functions, and limits, Berlinski explores the furthest implications of his subject, revealing how the calculus reconciles the precision of numbers with the fluidity of the changing universe. "An odd and tantalizing book by a writer who takes immense pleasure in this great mathematical tool, and tries to create it in others."--New York Times Book Review

Humanistic Mathematics Network Journal

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Publisher :
ISBN 13 :
Total Pages : 442 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Humanistic Mathematics Network Journal by :

Download or read book Humanistic Mathematics Network Journal written by and published by . This book was released on 1997 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt:

What is a Mathematical Concept?

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Publisher : Cambridge University Press
ISBN 13 : 1107134633
Total Pages : 301 pages
Book Rating : 4.1/5 (71 download)

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Book Synopsis What is a Mathematical Concept? by : Elizabeth de Freitas

Download or read book What is a Mathematical Concept? written by Elizabeth de Freitas and published by Cambridge University Press. This book was released on 2017-06-22 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: Leading thinkers in mathematics, philosophy and education offer new insights into the fundamental question: what is a mathematical concept?

The Seduction of Curves

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Publisher : Princeton University Press
ISBN 13 : 0691175330
Total Pages : 168 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis The Seduction of Curves by : Allan McRobie

Download or read book The Seduction of Curves written by Allan McRobie and published by Princeton University Press. This book was released on 2017-09-19 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this large-format book, lavishly illustrated in color throughout, Allan McRobie takes the reader on an alluring exploration of the beautiful curves that shape our world--from our bodies to Salvador Dalí's paintings and the space-time fabric of the universe itself. The book focuses on seven curves--the fold, cusp, swallowtail, and butterfly, plus the hyperbolic, elliptical, and parabolic "umbilics"--and describes the surprising origins of their taxonomy in the catastrophe theory of mathematician René Thom.

What's Luck Got to Do with It?

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Publisher : Princeton University Press
ISBN 13 : 0691138907
Total Pages : 296 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis What's Luck Got to Do with It? by : Joseph Mazur

Download or read book What's Luck Got to Do with It? written by Joseph Mazur and published by Princeton University Press. This book was released on 2010-06-06 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematician Mazur traces the history of gambling from the earliest known archaeological evidence of dice-playing among Neolithic peoples to the first systematic mathematical games of change during the Renaissance, and explains the mathematics behind gambling--including the laws of probability, statistics, and betting against expectations. Photos.

Emblems of the Mind

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Publisher : Harper Perennial
ISBN 13 : 9780380727476
Total Pages : 263 pages
Book Rating : 4.7/5 (274 download)

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Book Synopsis Emblems of the Mind by : Edward Rothstein

Download or read book Emblems of the Mind written by Edward Rothstein and published by Harper Perennial. This book was released on 1996-08-01 with total page 263 pages. Available in PDF, EPUB and Kindle. Book excerpt: Unravels the mystery of the relationship between music and mathematics, discussing their differences and their surprising similarities--including their origins and historical links

Prime Suspects

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Publisher : Princeton University Press
ISBN 13 : 0691188734
Total Pages : 233 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis Prime Suspects by : Andrew Granville

Download or read book Prime Suspects written by Andrew Granville and published by Princeton University Press. This book was released on 2019-08-06 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: An outrageous graphic novel that investigates key concepts in mathematics Integers and permutations—two of the most basic mathematical objects—are born of different fields and analyzed with separate techniques. Yet when the Mathematical Sciences Investigation team of crack forensic mathematicians, led by Professor Gauss, begins its autopsies of the victims of two seemingly unrelated homicides, Arnie Integer and Daisy Permutation, they discover the most extraordinary similarities between the structures of each body. Prime Suspects is a graphic novel that takes you on a voyage of forensic discovery, exploring some of the most fundamental ideas in mathematics. Travel with Detective von Neumann as he leaves no clue unturned, from shepherds’ huts in the Pyrenees to secret societies in the cafés of Paris, from the hidden codes in the music of the stones to the grisly discoveries in Finite Fields. Tremble at the ferocity of the believers in deep and rigid abstraction. Feel the frustration—and the excitement—of our young heroine, Emmy Germain, as she blazes a trail for women in mathematical research and learns from Professor Gauss, the greatest forensic detective of them all. Beautifully drawn and exquisitely detailed, Prime Suspects is unique, astonishing, and witty—a once-in-a-lifetime opportunity to experience mathematics like never before.

Realizing Reason

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Publisher : Oxford University Press
ISBN 13 : 0198704755
Total Pages : 507 pages
Book Rating : 4.1/5 (987 download)

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Book Synopsis Realizing Reason by : Danielle Macbeth

Download or read book Realizing Reason written by Danielle Macbeth and published by Oxford University Press. This book was released on 2014-03 with total page 507 pages. Available in PDF, EPUB and Kindle. Book excerpt: Danielle Macbeth offers a new account of mathematical practice as a mode of inquiry into objective truth, and argues that understanding the nature of mathematical practice provides us with the resources to develop a radically new conception of ourselves and our capacity for knowledge of objective truth.

Love and Math

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Publisher : Basic Books
ISBN 13 : 0465069959
Total Pages : 314 pages
Book Rating : 4.4/5 (65 download)

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Book Synopsis Love and Math by : Edward Frenkel

Download or read book Love and Math written by Edward Frenkel and published by Basic Books. This book was released on 2013-10-01 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: An awesome, globe-spanning, and New York Times bestselling journey through the beauty and power of mathematics What if you had to take an art class in which you were only taught how to paint a fence? What if you were never shown the paintings of van Gogh and Picasso, weren't even told they existed? Alas, this is how math is taught, and so for most of us it becomes the intellectual equivalent of watching paint dry. In Love and Math, renowned mathematician Edward Frenkel reveals a side of math we've never seen, suffused with all the beauty and elegance of a work of art. In this heartfelt and passionate book, Frenkel shows that mathematics, far from occupying a specialist niche, goes to the heart of all matter, uniting us across cultures, time, and space. Love and Math tells two intertwined stories: of the wonders of mathematics and of one young man's journey learning and living it. Having braved a discriminatory educational system to become one of the twenty-first century's leading mathematicians, Frenkel now works on one of the biggest ideas to come out of math in the last 50 years: the Langlands Program. Considered by many to be a Grand Unified Theory of mathematics, the Langlands Program enables researchers to translate findings from one field to another so that they can solve problems, such as Fermat's last theorem, that had seemed intractable before. At its core, Love and Math is a story about accessing a new way of thinking, which can enrich our lives and empower us to better understand the world and our place in it. It is an invitation to discover the magic hidden universe of mathematics.

Nexus

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Publisher : Edizioni Dell'erba
ISBN 13 :
Total Pages : 216 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Nexus by : Kim Williams

Download or read book Nexus written by Kim Williams and published by Edizioni Dell'erba. This book was released on 1996 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Interdisciplinary Perspectives on Math Cognition

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Publisher : Springer Nature
ISBN 13 : 3030225372
Total Pages : 344 pages
Book Rating : 4.0/5 (32 download)

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Book Synopsis Interdisciplinary Perspectives on Math Cognition by : Marcel Danesi

Download or read book Interdisciplinary Perspectives on Math Cognition written by Marcel Danesi and published by Springer Nature. This book was released on 2019-09-14 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an anthology of contemporary studies from various disciplinary perspectives written by some of the world's most renowned experts in each of the areas of mathematics, neuroscience, psychology, linguistics, semiotics, education, and more. Its purpose is not to add merely to the accumulation of studies, but to show that math cognition is best approached from various disciplinary angles, with the goal of broadening the general understanding of mathematical cognition through the different theoretical threads that can be woven into an overall understanding. This volume will be of interest to mathematicians, cognitive scientists, educators of mathematics, philosophers of mathematics, semioticians, psychologists, linguists, anthropologists, and all other kinds of scholars who are interested in the nature, origin, and development of mathematical cognition.

Six Septembers: Mathematics for the Humanist

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Author :
Publisher : Lulu.com
ISBN 13 : 1609621115
Total Pages : 432 pages
Book Rating : 4.6/5 (96 download)

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Book Synopsis Six Septembers: Mathematics for the Humanist by : Patrick Juola

Download or read book Six Septembers: Mathematics for the Humanist written by Patrick Juola and published by Lulu.com. This book was released on 2017 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: Scholars of all stripes are turning their attention to materials that represent enormous opportunities for the future of humanistic inquiry. The purpose of this book is to impart the concepts that underlie the mathematics they are likely to encounter and to unfold the notation in a way that removes that particular barrier completely. This book is a primer for developing the skills to enable humanist scholars to address complicated technical material with confidence. This book, to put it plainly, is concerned with the things that the author of a technical article knows, but isn't saying. Like any field, mathematics operates under a regime of shared assumptions, and it is our purpose to elucidate some of those assumptions for the newcomer. The individual subjects we tackle are (in order): logic and proof, discrete mathematics, abstract algebra, probability and statistics, calculus, and differential equations.

Mathematics Education and Philosophy

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Publisher : Taylor & Francis
ISBN 13 : 1135716269
Total Pages : 274 pages
Book Rating : 4.1/5 (357 download)

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Book Synopsis Mathematics Education and Philosophy by : Paul Ernest

Download or read book Mathematics Education and Philosophy written by Paul Ernest and published by Taylor & Francis. This book was released on 2003-09-02 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: Currently there is a great deal of interest in philosophical issues in the teaching and learning of both mathematics and science education. In this book Ernest has collected together papers from the foremost researchers and practitioners in the philosophy of mathematics education and related areas, together with a selection of papers from the International Congress of Mathematics Education held in Quebec in 1992. Throughout, the outstanding feature of the collection is its multidisciplinary approach to the field of study. This book is the second in Paul Ernest's "Studies in Mathematics Education" series.

Amazing Tales from the Magic Wood and Famous Problems of Mathematics

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Publisher :
ISBN 13 : 9781784556037
Total Pages : 115 pages
Book Rating : 4.5/5 (56 download)

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Book Synopsis Amazing Tales from the Magic Wood and Famous Problems of Mathematics by : Alla Shmukler

Download or read book Amazing Tales from the Magic Wood and Famous Problems of Mathematics written by Alla Shmukler and published by . This book was released on 2016-09-30 with total page 115 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors of the book, leaning on their long and rich experience inteaching mathematics at various levels, are now presenting it withinand alongside a lovely fantastic environment. The first part of thebook, written in a fantasy style, may serve an interesting and joyfulreading for children since age 10. The second part, dealing with a realhistory of mathematics, in a popular presentation, may attract readersof any age interested in this area. The most promising readers - theyoungsters - can explore both parts profitably for their cultural andintellectual development. In addition to its obvious educational value,the book has, although less explicit, but no less importantpsychological advantage: it may help to get rid of negative feelingrelative mathematics to those who have it. The book is worth to beplaced on a shelf in every library, personal and public, and not tostand there motionlessly.

The Best Writing on Mathematics 2019

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Publisher : Princeton University Press
ISBN 13 : 0691198357
Total Pages : 288 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis The Best Writing on Mathematics 2019 by : Mircea Pitici

Download or read book The Best Writing on Mathematics 2019 written by Mircea Pitici and published by Princeton University Press. This book was released on 2019-11-05 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: An anthology of the year's finest writing on mathematics from around the world, featuring promising new voices as well as some of the foremost names in mathematics.