A Brief History Of Mathematical Thought

Author: Luke Heaton
Editor: Oxford University Press
ISBN: 0190621761
Size: 18,34 MB
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Emblazoned on many advertisements for the wildly popular game of Sudoku are the reassuring words, "no mathematical knowledge required." Anxiety about math plagues many of us, and school memories can still summon intense loathing. In A Brief History of Mathematical Thought, Luke Heaton shows that much of what many think-and fear-about mathematics is misplaced, and to overcome our insecurities we need to understand its history. To help, he offers a lively guide into and through the world of mathematics and mathematicians, one in which patterns and arguments are traced through logic in a language grounded in concrete experience. Heaton reveals how Greek and Roman mathematicians like Pythagoras, Euclid, and Archimedes helped shaped the early logic of mathematics; how the Fibonacci sequence, the rise of algebra, and the invention of calculus are connected; how clocks, coordinates, and logical padlocks work mathematically; and how, in the twentieth century, Alan Turing's revolutionary work on the concept of computation laid the groundwork for the modern world. A Brief History of Mathematical Thought situates mathematics as part of, and essential to, lived experience. Understanding it requires not abstract thought or numbing memorization but an historical imagination and a view to its origins. --

A Concise History Of Mathematics

Author: Dirk Jan Struik
Editor: Courier Corporation
ISBN: 9780486602554
Size: 15,71 MB
Format: PDF, Mobi
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This compact, well-written history covers major mathematical ideas and techniques from the ancient Near East to 20th-century computer theory, surveying the works of Archimedes, Pascal, Gauss, Hilbert, and many others. "The author's ability as a first-class historian as well as an able mathematician has enabled him to produce a work which is unquestionably one of the best." — Nature.

A Brief History Of Numbers

Author: Leo Corry
Editor: OUP Oxford
ISBN: 0191007072
Size: 20,93 MB
Format: PDF, Kindle
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The world around us is saturated with numbers. They are a fundamental pillar of our modern society, and accepted and used with hardly a second thought. But how did this state of affairs come to be? In this book, Leo Corry tells the story behind the idea of number from the early days of the Pythagoreans, up until the turn of the twentieth century. He presents an overview of how numbers were handled and conceived in classical Greek mathematics, in the mathematics of Islam, in European mathematics of the middle ages and the Renaissance, during the scientific revolution, all the way through to the mathematics of the 18th to the early 20th century. Focusing on both foundational debates and practical use numbers, and showing how the story of numbers is intimately linked to that of the idea of equation, this book provides a valuable insight to numbers for undergraduate students, teachers, engineers, professional mathematicians, and anyone with an interest in the history of mathematics.

A Concise History Of Mathematics

Author: Dirk J. Struik
Editor: Courier Corporation
ISBN: 0486138887
Size: 10,91 MB
Format: PDF, ePub
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Compact, well-written survey ranges from the ancient Near East to 20th-century computer theory, covering Archimedes, Pascal, Gauss, Hilbert, and many others. "A work which is unquestionably one of the best." — Nature.

A Brief History Of Psychology

Author: Michael Wertheimer
Editor: Taylor & Francis
ISBN: 113662063X
Size: 15,25 MB
Format: PDF, Kindle
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This brief, inexpensive text offers the utmost in flexibility in teaching the history of psychology. Used as a stand-alone text or with readers, this engaging book is noted for its analysis of the scientific and philosophical emergence of the field. Readers appreciate the book’s balanced coverage of experimental, applied, and clinical psychology, as well as the clear and succinct presentation of the field’s major events and schools of thought. This edition features an expanded pedagogical program with bolded terms, a complete glossary, more illustrations, and web-based instructional materials including Power Points, a test bank, discussion questions, and more. Extensively updated throughout, this edition features: A new final chapter with a current analysis of the state of the field including the growth of specialized organizations that promote the science of psychology and the push to influence policies that address global challenges such as environmental sustainability, intergroup conflict, health disparities, and the population explosion. A discussion of the growth in the number and role of women in psychology and the promotion of diversity initiatives related to ethnicity, gender, age, and sexual orientation. Recent developments in the growth of neuroscience, cognitive science, and the diversification of psychology. Portraits of some major figures in the history of psychology. Recent changes in the practice of psychology including more emphasis on "evidence-based practice," prescription privileges, and the application of psychological principles to industrial and engineering psychology. Recent changes in the APA including new divisions and new elected officials. Used independently or as a supplement with readers, this brief text is intended for undergraduate and graduate courses on the history of psychology. Due to its brevity and engaging style, the book is often used in introductory courses to introduce students to the field. The enormous index and substantial glossary make this volume a useful desk reference for the entire field.

A Brief History Of Infinity

Author: Paolo Zellini
Editor: Penguin Global
ISBN: 9780141007625
Size: 15,58 MB
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In A Brief History of Infinity, the infinite in all its forms - viewed from the perspective of mathematicians, philosophers, and theologians - is explored, as Zellini strives to explain this fundamental principle. What is the difference between trueand false infinity? How might we explain away the puzzle of Zeno's paradox? And how is the concept of infinity helping us as we wrestle with the fundamental uncertainties of the quantum world? Paolo Zellini shows that the concept of the infinite is a multifaceted one, and eloquently demonstrates the manner in which humanity has attempted to comprehend that concept for millenia.

A Brief History Of Infinity

Author: Brian Clegg
Editor: Hachette UK
ISBN: 1472107640
Size: 15,33 MB
Format: PDF, Mobi
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'Space is big. Really big. You just won't believe how vastly, hugely, mind-bogglingly big it is. I mean, you may think it's a long way down the street to the chemist, but that's just peanuts to space.' Douglas Adams, Hitch-hiker's Guide to the Galaxy We human beings have trouble with infinity - yet infinity is a surprisingly human subject. Philosophers and mathematicians have gone mad contemplating its nature and complexity - yet it is a concept routinely used by schoolchildren. Exploring the infinite is a journey into paradox. Here is a quantity that turns arithmetic on its head, making it feasible that 1 = 0. Here is a concept that enables us to cram as many extra guests as we like into an already full hotel. Most bizarrely of all, it is quite easy to show that there must be something bigger than infinity - when it surely should be the biggest thing that could possibly be. Brian Clegg takes us on a fascinating tour of that borderland between the extremely large and the ultimate that takes us from Archimedes, counting the grains of sand that would fill the universe, to the latest theories on the physical reality of the infinite. Full of unexpected delights, whether St Augustine contemplating the nature of creation, Newton and Leibniz battling over ownership of calculus, or Cantor struggling to publicise his vision of the transfinite, infinity's fascination is in the way it brings together the everyday and the extraordinary, prosaic daily life and the esoteric. Whether your interest in infinity is mathematical, philosophical, spiritual or just plain curious, this accessible book offers a stimulating and entertaining read.

God Created The Integers

Author: Stephen Hawking
Editor: Hachette UK
ISBN: 0762432721
Size: 19,81 MB
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Bestselling author and physicist Stephen Hawking explores the "masterpieces" of mathematics, 25 landmarks spanning 2,500 years and representing the work of 15 mathematicians, including Augustin Cauchy, Bernard Riemann, and Alan Turing. This extensive anthology allows readers to peer into the mind of genius by providing them with excerpts from the original mathematical proofs and results. It also helps them understand the progression of mathematical thought, and the very foundations of our present-day technologies. Each chapter begins with a biography of the featured mathematician, clearly explaining the significance of the result, followed by the full proof of the work, reproduced from the original publication.

Enlightening Symbols

Author: Joseph Mazur
Editor: Princeton University Press
ISBN: 1400850118
Size: 18,46 MB
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While all of us regularly use basic math symbols such as those for plus, minus, and equals, few of us know that many of these symbols weren't available before the sixteenth century. What did mathematicians rely on for their work before then? And how did mathematical notations evolve into what we know today? In Enlightening Symbols, popular math writer Joseph Mazur explains the fascinating history behind the development of our mathematical notation system. He shows how symbols were used initially, how one symbol replaced another over time, and how written math was conveyed before and after symbols became widely adopted. Traversing mathematical history and the foundations of numerals in different cultures, Mazur looks at how historians have disagreed over the origins of the numerical system for the past two centuries. He follows the transfigurations of algebra from a rhetorical style to a symbolic one, demonstrating that most algebra before the sixteenth century was written in prose or in verse employing the written names of numerals. Mazur also investigates the subconscious and psychological effects that mathematical symbols have had on mathematical thought, moods, meaning, communication, and comprehension. He considers how these symbols influence us (through similarity, association, identity, resemblance, and repeated imagery), how they lead to new ideas by subconscious associations, how they make connections between experience and the unknown, and how they contribute to the communication of basic mathematics. From words to abbreviations to symbols, this book shows how math evolved to the familiar forms we use today.

A Bridge To Advanced Mathematics

Author: Dennis Sentilles
Editor: Courier Corporation
ISBN: 0486277585
Size: 13,73 MB
Format: PDF, Docs
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This helpful "bridge" book offers students the foundations they need to understand advanced mathematics. The two-part treatment provides basic tools and covers sets, relations, functions, mathematical proofs and reasoning, more. 1975 edition.