Inventing The Mathematician

Download Inventing The Mathematician full books in PDF, epub, and Kindle. Read online Inventing The Mathematician ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!

Inventing the Mathematician

Author : Sara N. Hottinger
Publisher : State University of New York Press
ISBN 13 : 1438460112
Total Pages : 217 pages
Book Rating : 4.4/5 (384 download)

DOWNLOAD NOW!

Book Synopsis Inventing the Mathematician by : Sara N. Hottinger

Download or read book Inventing the Mathematician written by Sara N. Hottinger and published by State University of New York Press. This book was released on 2016-03-01 with total page 217 pages. Available in PDF, EPUB and Kindle. Book excerpt: Considers how our ideas about mathematics shape our individual and cultural relationship to the field. Where and how do we, as a culture, get our ideas about mathematics and about who can engage with mathematical knowledge? Sara N. Hottinger uses a cultural studies approach to address how our ideas about mathematics shape our individual and cultural relationship to the field. She considers four locations in which representations of mathematics contribute to our cultural understanding of mathematics: mathematics textbooks, the history of mathematics, portraits of mathematicians, and the field of ethnomathematics. Hottinger examines how these discourses shape mathematical subjectivity by limiting the way some groups—including women and people of color—are able to see themselves as practitioners of math. Inventing the Mathematician provides a blueprint for how to engage in a deconstructive project, revealing the limited and problematic nature of the normative construction of mathematical subjectivity. Sara N. Hottinger is Professor of Women’s and Gender Studies at Keene State College.

Imagining the Mathematician

Author : Sara N. Hottinger
Publisher :
ISBN 13 : 9781438460109
Total Pages : 215 pages
Book Rating : 4.4/5 (61 download)

DOWNLOAD NOW!

Book Synopsis Imagining the Mathematician by : Sara N. Hottinger

Download or read book Imagining the Mathematician written by Sara N. Hottinger and published by . This book was released on 2017-01-02 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt: Where and how do we, as a culture, get our ideas about mathematics and about who can engage with mathematical knowledge? Sara N. Hottinger uses a cultural studies approach to address how our ideas about mathematics shape our individual and cultural relationship to the field. She considers four locations in which representations of mathematics contribute to our cultural understanding of mathematics: mathematics textbooks, the history of mathematics, portraits of mathematicians, and the field of ethnomathematics. Hottinger examines how these discourses shape mathematical subjectivity by limiting the way some groups including women and people of color are able to see themselves as practitioners of math. Inventing the Mathematician provides a blueprint for how to engage in a deconstructive project, revealing the limited and problematic nature of the normative construction of mathematical subjectivity."

Inventing the Mathematician

Author : Sara N. Hottinger
Publisher : SUNY Press
ISBN 13 : 1438460090
Total Pages : 217 pages
Book Rating : 4.4/5 (384 download)

DOWNLOAD NOW!

Book Synopsis Inventing the Mathematician by : Sara N. Hottinger

Download or read book Inventing the Mathematician written by Sara N. Hottinger and published by SUNY Press. This book was released on 2016-03-01 with total page 217 pages. Available in PDF, EPUB and Kindle. Book excerpt: Considers how our ideas about mathematics shape our individual and cultural relationship to the field. Where and how do we, as a culture, get our ideas about mathematics and about who can engage with mathematical knowledge? Sara N. Hottinger uses a cultural studies approach to address how our ideas about mathematics shape our individual and cultural relationship to the field. She considers four locations in which representations of mathematics contribute to our cultural understanding of mathematics: mathematics textbooks, the history of mathematics, portraits of mathematicians, and the field of ethnomathematics. Hottinger examines how these discourses shape mathematical subjectivity by limiting the way some groupsincluding women and people of colorare able to see themselves as practitioners of math. Inventing the Mathematician provides a blueprint for how to engage in a deconstructive project, revealing the limited and problematic nature of the normative construction of mathematical subjectivity.

Making up Numbers: A History of Invention in Mathematics

Author : Ekkehard Kopp
Publisher : Open Book Publishers
ISBN 13 : 1800640978
Total Pages : 280 pages
Book Rating : 4.8/5 (6 download)

DOWNLOAD NOW!

Book Synopsis Making up Numbers: A History of Invention in Mathematics by : Ekkehard Kopp

Download or read book Making up Numbers: A History of Invention in Mathematics written by Ekkehard Kopp and published by Open Book Publishers. This book was released on 2020-10-23 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: Making up Numbers: A History of Invention in Mathematics offers a detailed but accessible account of a wide range of mathematical ideas. Starting with elementary concepts, it leads the reader towards aspects of current mathematical research. The book explains how conceptual hurdles in the development of numbers and number systems were overcome in the course of history, from Babylon to Classical Greece, from the Middle Ages to the Renaissance, and so to the nineteenth and twentieth centuries. The narrative moves from the Pythagorean insistence on positive multiples to the gradual acceptance of negative numbers, irrationals and complex numbers as essential tools in quantitative analysis. Within this chronological framework, chapters are organised thematically, covering a variety of topics and contexts: writing and solving equations, geometric construction, coordinates and complex numbers, perceptions of ‘infinity’ and its permissible uses in mathematics, number systems, and evolving views of the role of axioms. Through this approach, the author demonstrates that changes in our understanding of numbers have often relied on the breaking of long-held conventions to make way for new inventions at once providing greater clarity and widening mathematical horizons. Viewed from this historical perspective, mathematical abstraction emerges as neither mysterious nor immutable, but as a contingent, developing human activity. Making up Numbers will be of great interest to undergraduate and A-level students of mathematics, as well as secondary school teachers of the subject. In virtue of its detailed treatment of mathematical ideas, it will be of value to anyone seeking to learn more about the development of the subject.

Is God a Mathematician?

Author : Mario Livio
Publisher : Simon and Schuster
ISBN 13 : 1416594434
Total Pages : 320 pages
Book Rating : 4.4/5 (165 download)

DOWNLOAD NOW!

Book Synopsis Is God a Mathematician? by : Mario Livio

Download or read book Is God a Mathematician? written by Mario Livio and published by Simon and Schuster. This book was released on 2011-02-22 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bestselling author and astrophysicist Mario Livio examines the lives and theories of history’s greatest mathematicians to ask how—if mathematics is an abstract construction of the human mind—it can so perfectly explain the physical world. Nobel Laureate Eugene Wigner once wondered about “the unreasonable effectiveness of mathematics” in the formulation of the laws of nature. Is God a Mathematician? investigates why mathematics is as powerful as it is. From ancient times to the present, scientists and philosophers have marveled at how such a seemingly abstract discipline could so perfectly explain the natural world. More than that—mathematics has often made predictions, for example, about subatomic particles or cosmic phenomena that were unknown at the time, but later were proven to be true. Is mathematics ultimately invented or discovered? If, as Einstein insisted, mathematics is “a product of human thought that is independent of experience,” how can it so accurately describe and even predict the world around us? Physicist and author Mario Livio brilliantly explores mathematical ideas from Pythagoras to the present day as he shows us how intriguing questions and ingenious answers have led to ever deeper insights into our world. This fascinating book will interest anyone curious about the human mind, the scientific world, and the relationship between them.

Activities for Developing Mathematical Thinking

Author : Joseph G. R. Martinez
Publisher : Prentice Hall
ISBN 13 : 9780130987426
Total Pages : 0 pages
Book Rating : 4.9/5 (874 download)

DOWNLOAD NOW!

Book Synopsis Activities for Developing Mathematical Thinking by : Joseph G. R. Martinez

Download or read book Activities for Developing Mathematical Thinking written by Joseph G. R. Martinez and published by Prentice Hall. This book was released on 2007 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Filled with over 100 inquiry-based activities,Activities for Mathematical Thinkingaddresses the changing ways in which students learn and teachers teach mathematics. The emphasis is on hands-on learning and an inductive, rather than deductive, approach to mathematics. Organized in 11 sections, activities range from understanding number systems to developing geometric thinking to exploring part-whole relationships. While diverse in content and complexity, all activities emphasize inquiry and process and include recommended grade levels as well as NCTM process and content standards. Worksheets and handouts are provided in the back of the workbook to help support many of the activities. FEATURES: Explore-Invent-Discover strategies-Structures and guides mathematics investigations. Engaging student questions-Set a context and help focus the inquiry process. Exploration of hands-on methods and manipulatives-Lets students model and visualize mathematical situations and experience them directly. Printable and customizable forms, manipulatives, and worksheetsoutlined in activities are easily accessible on the Activity CD-ROM in the back of every copy of the text. Problem-solving strategies. Each activity includes recommended grade levels and NCTM process and content standards. Descriptions of what teachers and students will do to prompt the learning process-Followed by discussions of approaches students might take toward understanding or solving problems.

The Mathematician's Mind

Author : Jacques Hadamard
Publisher : Princeton University Press
ISBN 13 : 0691212902
Total Pages : 168 pages
Book Rating : 4.6/5 (912 download)

DOWNLOAD NOW!

Book Synopsis The Mathematician's Mind by : Jacques Hadamard

Download or read book The Mathematician's Mind written by Jacques Hadamard and published by Princeton University Press. This book was released on 2020-05-05 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fifty years ago when Jacques Hadamard set out to explore how mathematicians invent new ideas, he considered the creative experiences of some of the greatest thinkers of his generation, such as George Polya, Claude Lévi-Strauss, and Albert Einstein. It appeared that inspiration could strike anytime, particularly after an individual had worked hard on a problem for days and then turned attention to another activity. In exploring this phenomenon, Hadamard produced one of the most famous and cogent cases for the existence of unconscious mental processes in mathematical invention and other forms of creativity. Written before the explosion of research in computers and cognitive science, his book, originally titled The Psychology of Invention in the Mathematical Field, remains an important tool for exploring the increasingly complex problem of mental life. The roots of creativity for Hadamard lie not in consciousness, but in the long unconscious work of incubation, and in the unconscious aesthetic selection of ideas that thereby pass into consciousness. His discussion of this process comprises a wide range of topics, including the use of mental images or symbols, visualized or auditory words, "meaningless" words, logic, and intuition. Among the important documents collected is a letter from Albert Einstein analyzing his own mechanism of thought.

The Life and Works of John Napier

Author : Brian Rice
Publisher : Springer
ISBN 13 : 3319532820
Total Pages : 994 pages
Book Rating : 4.3/5 (195 download)

DOWNLOAD NOW!

Book Synopsis The Life and Works of John Napier by : Brian Rice

Download or read book The Life and Works of John Napier written by Brian Rice and published by Springer. This book was released on 2017-03-09 with total page 994 pages. Available in PDF, EPUB and Kindle. Book excerpt: For the first time, all five of John Napier’s works have been brought together in English in a single volume, making them more accessible than ever before. His four mathematical works were originally published in Latin: two in his lifetime (1550–1617), one shortly after he died, and one over 200 years later. The authors have prepared three introductory chapters, one covering Napier himself, one his mathematical works, and one his religious work. The former has been prepared by one of Napier’s descendants and contains many new findings about Napier’s life to provide the most complete biography of this enigmatic character, whose reputation has previously been overshadowed by rumour and speculation. The latter has been written by an academic who was awarded a PhD for his thesis on Napier at the University of Edinburgh, and it provides the most lucid and coherent coverage available of this abstruse and little understood work. The chapter on Napier’s mathematical texts has been authored by an experienced and respected academic, whose recent works have specialised in the history of mathematics and whose Journey through Mathematics was selected in March of 2012 as an Outstanding Title in Mathematics by Choice magazine, a publication of the American Library Association. All three authors have revisited the primary sources extensively and deliver new insights about Napier and his works, whilst revising the many myths and assumptions that surround his life and character.

Maryam's Magic: The Story of Mathematician Maryam Mirzakhani

Author : Megan Reid
Publisher : HarperCollins
ISBN 13 : 0063089513
Total Pages : 41 pages
Book Rating : 4.0/5 (63 download)

DOWNLOAD NOW!

Book Synopsis Maryam's Magic: The Story of Mathematician Maryam Mirzakhani by : Megan Reid

Download or read book Maryam's Magic: The Story of Mathematician Maryam Mirzakhani written by Megan Reid and published by HarperCollins. This book was released on 2021-01-19 with total page 41 pages. Available in PDF, EPUB and Kindle. Book excerpt: From Althea Gibson author Megan Reid and rising star artist Aaliya Jaleel, illustrator of Under My Hijab, comes the first picture book about trailblazing mathematician Maryam Mirzakhani, the first woman to win the world’s most prestigious honor in mathematics. Perfect for fans of Hidden Figures and Mae Among the Stars. As a little girl, Maryam Mirzakhani was spellbound by stories. She loved reading in Tehran’s crowded bookstores, and at home she'd spend hours crafting her own tales on giant rolls of paper. Maryam loved school, especially her classes in reading and writing. But she did not like math. Numbers were nowhere near as interesting as the bold, adventurous characters she found in books. Until Maryam unexpectedly discovered a new genre of storytelling: In geometry, numbers became shapes, each with its own fascinating personality—making every equation a brilliant story waiting to be told. As an adult, Maryam became a professor, inventing new formulas to solve some of math's most complicated puzzles. And she made history by becoming the first woman—and the first Iranian—to win the Fields Medal, mathematics’ highest award. Maryam's Magic is the true story of a girl whose creativity and love of stories helped her—and the world—to see math in a new and inspiring way.

An Essay on the Psychology of Invention in the Mathematical Field

Author : Jacques Hadamard
Publisher : Read Books Ltd
ISBN 13 : 1447493273
Total Pages : 164 pages
Book Rating : 4.4/5 (474 download)

DOWNLOAD NOW!

Book Synopsis An Essay on the Psychology of Invention in the Mathematical Field by : Jacques Hadamard

Download or read book An Essay on the Psychology of Invention in the Mathematical Field written by Jacques Hadamard and published by Read Books Ltd. This book was released on 2013-04-16 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many of the earliest books, particularly those dating back to the 1900s and before, are now extremely scarce and increasingly expensive. We are republishing these classic works in affordable, high quality, modern editions, using the original text and artwork.

Mathematicians in Love

Author : Rudy Rucker
Publisher : Macmillan
ISBN 13 : 1466804866
Total Pages : 372 pages
Book Rating : 4.4/5 (668 download)

DOWNLOAD NOW!

Book Synopsis Mathematicians in Love by : Rudy Rucker

Download or read book Mathematicians in Love written by Rudy Rucker and published by Macmillan. This book was released on 2008-07-08 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: A riveting new science fiction novel from the writer who twice won the Philip K. Dick Award for best SF novel.Bela and Paul, two wild young mathematicians, are friends and roommates, and in love with the same woman, who happens to be Alma, Bela's girlfriend. They fight it out by changing reality using cutting edge math, to change who gets the girl. The contemporary world they live in is not quite this one, but much like Berkeley, California, and the two graduate students are trying to finish their degrees and get jobs. It doesn't help that their unpredictable advisor Roland is a mad mathematical genius who has figured out a way to predict isolated and specific bits of the future that can cause a lot of trouble. . .and he's starting to see monsters in mirrors. Bela and Paul start to mess around with reality, and when that happens, all heaven and hell break loose. Those monsters of Roland's were really there, but who are they? This novel is a romantic comedy with a whole corkscrew of SF twists. At the publisher's request, this title is being sold without Digital Rights Management software (DRM) applied.

Beyond Banneker

Author : Erica N. Walker
Publisher : State University of New York Press
ISBN 13 : 1438452179
Total Pages : 187 pages
Book Rating : 4.4/5 (384 download)

DOWNLOAD NOW!

Book Synopsis Beyond Banneker by : Erica N. Walker

Download or read book Beyond Banneker written by Erica N. Walker and published by State University of New York Press. This book was released on 2014-05-09 with total page 187 pages. Available in PDF, EPUB and Kindle. Book excerpt: An in-depth look at the lives, experiences, and professional careers of Black mathematicians in the United States. Erica N. Walker presents a compelling story of Black mathematical excellence in the United States. Much of the research and discussion about Blacks and mathematics focuses on underachievement; by documenting in detail the experiences of Black mathematicians, this book broadens significantly the knowledge base about mathematically successful African Americans. Beyond Banneker demonstrates how mathematics success is fostered among Blacks by mathematicians, mathematics educators, teachers, parents, and others, a story that has been largely overlooked by the profession and research community. Based on archival research and in-depth interviews with thirty mathematicians, this important and timely book vividly captures important narratives about mathematics teaching and learning in multiple contexts, as well as the unique historical and contemporary settings related to race, opportunity, and excellence that Black mathematicians experience. Walker draws upon these narratives to suggest ways to capitalize on the power and potential of underserved communities to respond to the national imperative for developing math success for new generations of young people. Erica N. Walker is Associate Professor of Mathematics Education at Teachers College, Columbia University. She is the author of Building Mathematics Learning Communities: Improving Outcomes in Urban High Schools.

The Invention of Numbers

Author : Peter Bentley
Publisher : Weidenfeld & Nicolson
ISBN 13 : 9781844039111
Total Pages : 272 pages
Book Rating : 4.0/5 (391 download)

DOWNLOAD NOW!

Book Synopsis The Invention of Numbers by : Peter Bentley

Download or read book The Invention of Numbers written by Peter Bentley and published by Weidenfeld & Nicolson. This book was released on 2016-08-11 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numbers are at the heart of the existence of the universe and everything in it, and yet a lot of us have little understanding of their creation, let alone their part in philosophy, art, music, physics, literature, religion and computing. Dr Bentley's fascinating history of the origins of numbers will unlock the secrets of these things that we take for granted and shows how numbers seem to take on human characteristiscs - as they can be perfect or irrational, amicable or prime, real or imaginary. From zero to infinity, learn about the way numbers have shaped our world, discover amazing facts and enjoy the pure beauty of mathematical logic.

What Is Mathematics, Really?

Author : Reuben Hersh
Publisher : Oxford University Press
ISBN 13 : 0198027362
Total Pages : 368 pages
Book Rating : 4.1/5 (98 download)

DOWNLOAD NOW!

Book Synopsis What Is Mathematics, Really? by : Reuben Hersh

Download or read book What Is Mathematics, Really? written by Reuben Hersh and published by Oxford University Press. This book was released on 1997-08-21 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: Most philosophers of mathematics treat it as isolated, timeless, ahistorical, inhuman. Reuben Hersh argues the contrary, that mathematics must be understood as a human activity, a social phenomenon, part of human culture, historically evolved, and intelligible only in a social context. Hersh pulls the screen back to reveal mathematics as seen by professionals, debunking many mathematical myths, and demonstrating how the "humanist" idea of the nature of mathematics more closely resembles how mathematicians actually work. At the heart of his book is a fascinating historical account of the mainstream of philosophy--ranging from Pythagoras, Descartes, and Spinoza, to Bertrand Russell, David Hilbert, and Rudolph Carnap--followed by the mavericks who saw mathematics as a human artifact, including Aristotle, Locke, Hume, Mill, and Lakatos. What is Mathematics, Really? reflects an insider's view of mathematical life, and will be hotly debated by anyone with an interest in mathematics or the philosophy of science.

Burn Math Class

Author : Jason Wilkes
Publisher : Basic Books
ISBN 13 : 0465073816
Total Pages : 400 pages
Book Rating : 4.4/5 (65 download)

DOWNLOAD NOW!

Book Synopsis Burn Math Class by : Jason Wilkes

Download or read book Burn Math Class written by Jason Wilkes and published by Basic Books. This book was released on 2016-03-22 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: A manifesto for a mathematical revolution Forget everything you've been taught about math. In Burn Math Class, Jason Wilkes takes the traditional approach to how we learn math -- with its unwelcoming textbooks, unexplained rules, and authoritarian assertions-and sets it on fire. Focusing on how mathematics is created rather than on mathematical facts, Wilkes teaches the subject in a way that requires no memorization and no prior knowledge beyond addition and multiplication. From these simple foundations, Burn Math Class shows how mathematics can be (re)invented from scratch without preexisting textbooks and courses. We can discover math on our own through experimentation and failure, without appealing to any outside authority. When math is created free from arcane notations and pretentious jargon that hide the simplicity of mathematical concepts, it can be understood organically -- and it becomes fun! Following this unconventional approach, Burn Math Class leads the reader from the basics of elementary arithmetic to various "advanced" topics, such as time-dilation in special relativity, Taylor series, and calculus in infinite-dimensional spaces. Along the way, Wilkes argues that orthodox mathematics education has been teaching the subject backward: calculus belongs before many of its so-called prerequisites, and those prerequisites cannot be fully understood without calculus. Like the smartest, craziest teacher you've ever had, Wilkes guides you on an adventure in mathematical creation that will radically change the way you think about math. Revealing the beauty and simplicity of this timeless subject, Burn Math Class turns everything that seems difficult about mathematics upside down and sideways until you understand just how easy math can be.

Inventing Intelligence

Author : Paul Michael Privateer
Publisher : John Wiley & Sons
ISBN 13 : 1405152303
Total Pages : 280 pages
Book Rating : 4.4/5 (51 download)

DOWNLOAD NOW!

Book Synopsis Inventing Intelligence by : Paul Michael Privateer

Download or read book Inventing Intelligence written by Paul Michael Privateer and published by John Wiley & Sons. This book was released on 2008-04-15 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: What is intelligence? What makes humans homo sapiens - the intelligent species? Inventing Intelligence is a bold deconstruction of the history of intelligence, bringing a cultural studies approach to this fascinating subject for the first time.

Euler

Author : William Dunham
Publisher : American Mathematical Society
ISBN 13 : 147046618X
Total Pages : 185 pages
Book Rating : 4.4/5 (74 download)

DOWNLOAD NOW!

Book Synopsis Euler by : William Dunham

Download or read book Euler written by William Dunham and published by American Mathematical Society. This book was released on 2022-01-13 with total page 185 pages. Available in PDF, EPUB and Kindle. Book excerpt: Leonhard Euler was one of the most prolific mathematicians that have ever lived. This book examines the huge scope of mathematical areas explored and developed by Euler, which includes number theory, combinatorics, geometry, complex variables and many more. The information known to Euler over 300 years ago is discussed, and many of his advances are reconstructed. Readers will be left in no doubt about the brilliance and pervasive influence of Euler's work.