Mathematics From The Birth Of Numbers

Author : Jan Gullberg
Publisher : National Geographic Books
Page : 0 pages
File Size : 49,5 Mb
Release : 1997-01-07
Category : Mathematics
ISBN : 9780393040029

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Mathematics From the Birth of Numbers by Jan Gullberg Pdf

A gently guided, profusely illustrated Grand Tour of the world of mathematics. This extraordinary work takes the reader on a long and fascinating journey--from the dual invention of numbers and language, through the major realms of arithmetic, algebra, geometry, trigonometry, and calculus, to the final destination of differential equations, with excursions into mathematical logic, set theory, topology, fractals, probability, and assorted other mathematical byways. The book is unique among popular books on mathematics in combining an engaging, easy-to-read history of the subject with a comprehensive mathematical survey text. Intended, in the author's words, "for the benefit of those who never studied the subject, those who think they have forgotten what they once learned, or those with a sincere desire for more knowledge," it links mathematics to the humanities, linguistics, the natural sciences, and technology. Contains more than 1000 original technical illustrations, a multitude of reproductions from mathematical classics and other relevant works, and a generous sprinkling of humorous asides, ranging from limericks and tall stories to cartoons and decorative drawings.

Author : Ekkehard Kopp
Publisher : Open Book Publishers
Page : 280 pages
File Size : 54,8 Mb
Release : 2020-10-23
Category : Mathematics
ISBN : 9781800640979

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

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.

Author : Jan Gullberg
Publisher : W. W. Norton & Company
Page : 1148 pages
File Size : 55,7 Mb
Release : 1997-01-07
Category : Mathematics
ISBN : 039304002X

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Mathematics From the Birth of Numbers by Jan Gullberg Pdf

An illustrated exploration of mathematics and its history, beginning with a study of numbers and their symbols, and continuing with a broad survey that includes consideration of algebra, geometry, hyperbolic functions, fractals, and many other mathematical functions.

Author : Talithia Williams
Publisher : Quarto Publishing Group USA
Page : 227 pages
File Size : 54,6 Mb
Release : 2018-04-10
Category : Mathematics
ISBN : 9780760360286

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Power in Numbers by Talithia Williams Pdf

From rocket scientists to code breakers, “fascinating stories” of women who overcame obstacles, shattered stereotypes, and pursued their passion for math (Notices of the American Mathematical Society). With more than 200 photos and original interviews with several of the amazing women covered, Power in Numbers: The Rebel Women of Mathematics is a full-color volume that puts a spotlight on the influence of women on the development of mathematics over the last two millennia. Each biography reveals the life of a different female mathematician, from her childhood and early influences to the challenges she faced and the great achievements she made in spite of them. Learn how: After her father terminated her math lessons, Sofia Kovalevskaya snuck algebra books into her bed to read at night Emmy Noether became an invaluable resource to Albert Einstein while she was in the Navy Native American rocket scientist Mary Golda Ross developed designs for fighter jets and missiles in a top-secret unit Katherine Johnson’s life-or-death calculations at NASA meant that astronauts such as Alan Shepard and John Glenn made it home alive Shakuntala Devi multiplied massive numbers in her head so her family could eat at night Pamela Harris proved her school counselors wrong when they told her she would only succeed as a bilinguial secretary Carla Cotwright-Williams began her life in the dangerous streets of South-Central Los Angeles before skyrocketing to a powerful career with the Department of Defense in Washington, DC These women are a diverse group, but their stories have one thing in common: At some point on their journeys, someone believed in them—and made them think the impossible was perhaps not so impossible. “A quick read . . . full of dramatic stories and eye-catching illustrations.” —MAA Reviews “I found myself marveling at the personal anecdotes and quotes throughout the book.” —Notices of the American Mathematical Society

Author : Graham Flegg
Publisher : Courier Corporation
Page : 304 pages
File Size : 47,8 Mb
Release : 2013-05-13
Category : Mathematics
ISBN : 9780486166513

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Numbers by Graham Flegg Pdf

Readable, jargon-free book examines the earliest endeavors to count and record numbers, initial attempts to solve problems by using equations, and origins of infinite cardinal arithmetic. "Surprisingly exciting." — Choice.

Author : Michael J. Bradley
Publisher : Infobase Publishing
Page : 161 pages
File Size : 51,5 Mb
Release : 2006
Category : Mathematicians
ISBN : 9780791097236

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The Birth of Mathematics by Michael J. Bradley Pdf

Author : John H. Conway,Richard Guy
Publisher : Springer Science & Business Media
Page : 313 pages
File Size : 42,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461240723

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The Book of Numbers by John H. Conway,Richard Guy Pdf

"...the great feature of the book is that anyone can read it without excessive head scratching...You'll find plenty here to keep you occupied, amused, and informed. Buy, dip in, wallow." -IAN STEWART, NEW SCIENTIST "...a delightful look at numbers and their roles in everything from language to flowers to the imagination." -SCIENCE NEWS "...a fun and fascinating tour of numerical topics and concepts. It will have readers contemplating ideas they might never have thought were understandable or even possible." -WISCONSIN BOOKWATCH "This popularization of number theory looks like another classic." -LIBRARY JOURNAL

Author : E. T. Bell
Publisher : Courier Corporation
Page : 657 pages
File Size : 53,7 Mb
Release : 2012-09-11
Category : Mathematics
ISBN : 9780486152288

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The Development of Mathematics by E. T. Bell Pdf

Time-honored study by a prominent scholar of mathematics traces decisive epochs from the evolution of mathematical ideas in ancient Egypt and Babylonia to major breakthroughs in the 19th and 20th centuries. 1945 edition.

Author : Philip E. B. Jourdain
Publisher : Courier Corporation
Page : 82 pages
File Size : 43,5 Mb
Release : 2013-01-09
Category : Mathematics
ISBN : 9780486154961

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The Nature of Mathematics by Philip E. B. Jourdain Pdf

Anyone interested in mathematics will appreciate this survey, which explores the distinction between the body of knowledge known as mathematics and the methods used in its discovery. 1913 edition.

Author : Michal Krizek,Florian Luca,Lawrence Somer
Publisher : Springer Science & Business Media
Page : 280 pages
File Size : 51,6 Mb
Release : 2013-03-14
Category : Mathematics
ISBN : 9780387218502

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17 Lectures on Fermat Numbers by Michal Krizek,Florian Luca,Lawrence Somer Pdf

The pioneering work of Pierre de Fermat has attracted the attention of mathematicians for over 350 years. This book provides an overview of the many properties of Fermat numbers and demonstrates their applications in areas such as number theory, probability theory, geometry, and signal processing. It is an ideal introduction to the basic mathematical ideas and algebraic methods connected with the Fermat numbers.

Author : E. H. Sondheimer,Alan Rogerson
Publisher : Courier Corporation
Page : 194 pages
File Size : 55,9 Mb
Release : 2006-01-01
Category : Mathematics
ISBN : 9780486452982

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Numbers and Infinity by E. H. Sondheimer,Alan Rogerson Pdf

This fresh overview of numbers and infinity avoids tedium and controversy while maintaining historical accuracy and modern relevance. Perfect for undergraduate mathematics or science history courses. 1981 edition.

Author : Heinz-Dieter Ebbinghaus
Publisher : Springer Science & Business Media
Page : 424 pages
File Size : 47,5 Mb
Release : 1991
Category : Mathematics
ISBN : 0387974970

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Numbers by Heinz-Dieter Ebbinghaus Pdf

This book is about all kinds of numbers, from rationals to octonians, reals to infinitesimals. It is a story about a major thread of mathematics over thousands of years, and it answers everything from why Hamilton was obsessed with quaternions to what the prospect was for quaternionic analysis in the 19th century. It glimpses the mystery surrounding imaginary numbers in the 17th century and views some major developments of the 20th century.

Author : David Nirenberg,Ricardo L. Nirenberg
Publisher : University of Chicago Press
Page : 429 pages
File Size : 46,7 Mb
Release : 2024-05-09
Category : History
ISBN : 9780226828367

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Uncountable by David Nirenberg,Ricardo L. Nirenberg Pdf

Ranging from math to literature to philosophy, Uncountable explains how numbers triumphed as the basis of knowledge—and compromise our sense of humanity. Our knowledge of mathematics has structured much of what we think we know about ourselves as individuals and communities, shaping our psychologies, sociologies, and economies. In pursuit of a more predictable and more controllable cosmos, we have extended mathematical insights and methods to more and more aspects of the world. Today those powers are greater than ever, as computation is applied to virtually every aspect of human activity. Yet, in the process, are we losing sight of the human? When we apply mathematics so broadly, what do we gain and what do we lose, and at what risk to humanity? These are the questions that David and Ricardo L. Nirenberg ask in Uncountable, a provocative account of how numerical relations became the cornerstone of human claims to knowledge, truth, and certainty. There is a limit to these number-based claims, they argue, which they set out to explore. The Nirenbergs, father and son, bring together their backgrounds in math, history, literature, religion, and philosophy, interweaving scientific experiments with readings of poems, setting crises in mathematics alongside world wars, and putting medieval Muslim and Buddhist philosophers in conversation with Einstein, Schrödinger, and other giants of modern physics. The result is a powerful lesson in what counts as knowledge and its deepest implications for how we live our lives.

Author : Clifford A. Pickover
Publisher : Oxford University Press
Page : 420 pages
File Size : 50,6 Mb
Release : 2003-01-16
Category : Mathematics
ISBN : 0195348001

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Wonders of Numbers by Clifford A. Pickover Pdf

Who were the five strangest mathematicians in history? What are the ten most interesting numbers? Jam-packed with thought-provoking mathematical mysteries, puzzles, and games, Wonders of Numbers will enchant even the most left-brained of readers. Hosted by the quirky Dr. Googol--who resides on a remote island and occasionally collaborates with Clifford Pickover--Wonders of Numbers focuses on creativity and the delight of discovery. Here is a potpourri of common and unusual number theory problems of varying difficulty--each presented in brief chapters that convey to readers the essence of the problem rather than its extraneous history. Peppered throughout with illustrations that clarify the problems, Wonders of Numbers also includes fascinating "math gossip." How would we use numbers to communicate with aliens? Check out Chapter 30. Did you know that there is a Numerical Obsessive-Compulsive Disorder? You'll find it in Chapter 45. From the beautiful formula of India's most famous mathematician to the Leviathan number so big it makes a trillion look small, Dr. Googol's witty and straightforward approach to numbers will entice students, educators, and scientists alike to pick up a pencil and work a problem.

Author : Jordan Ellenberg
Publisher : Penguin Press
Page : 480 pages
File Size : 41,9 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.