Making Up Numbers A History Of Invention In Mathematics
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Making Up Numbers
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Author : Ekkehard Kopp
language : en
Publisher:
Release Date : 2020-10-15
Making Up Numbers written by Ekkehard Kopp and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-10-15 with categories.
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.
Making Up Numbers A History Of Invention In Mathematics
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Author : Ekkehard Kopp
language : en
Publisher: Open Book Publishers
Release Date : 2020-10-23
Making Up Numbers A History Of Invention In Mathematics written by Ekkehard Kopp and has been published by Open Book Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-10-23 with Mathematics categories.
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.
Numbers And The Making Of Us
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Author : Caleb Everett
language : en
Publisher: Harvard University Press
Release Date : 2017-03-13
Numbers And The Making Of Us written by Caleb Everett and has been published by Harvard University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-03-13 with Language Arts & Disciplines categories.
“A fascinating book.” —James Ryerson, New York Times Book Review A Smithsonian Best Science Book of the Year Winner of the PROSE Award for Best Book in Language & Linguistics Carved into our past and woven into our present, numbers shape our perceptions of the world far more than we think. In this sweeping account of how the invention of numbers sparked a revolution in human thought and culture, Caleb Everett draws on new discoveries in psychology, anthropology, and linguistics to reveal the many things made possible by numbers, from the concept of time to writing, agriculture, and commerce. Numbers are a tool, like the wheel, developed and refined over millennia. They allow us to grasp quantities precisely, but recent research confirms that they are not innate—and without numbers, we could not fully grasp quantities greater than three. Everett considers the number systems that have developed in different societies as he shares insights from his fascinating work with indigenous Amazonians. “This is bold, heady stuff... The breadth of research Everett covers is impressive, and allows him to develop a narrative that is both global and compelling... Numbers is eye-opening, even eye-popping.” —New Scientist “A powerful and convincing case for Everett’s main thesis: that numbers are neither natural nor innate to humans.” —Wall Street Journal
Introduction To Systems Biology
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Author : Thomas Sauter
language : en
Publisher: Open Book Publishers
Release Date : 2023-03-09
Introduction To Systems Biology written by Thomas Sauter and has been published by Open Book Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-03-09 with Computers categories.
This book is an introduction to the language of systems biology, which is spoken among many disciplines, from biology to engineering. Authors Thomas Sauter and Marco Albrecht draw on a multidisciplinary background and evidence-based learning to facilitate the understanding of biochemical networks, metabolic modeling and system dynamics. Their pedagogic approach briefly highlights core ideas of concepts in a broader interdisciplinary framework to guide a more effective deep dive thereafter. The learning journey starts with the purity of mathematical concepts, reveals its power to connect biological entities in structure and time, and finally introduces physics concepts to tightly align abstraction with reality. This workbook is all about self-paced learning, supports the flipped-classroom concept, and kick-starts with scientific evidence on studying. Each chapter comes with links to external YouTube videos, learning checklists, and Integrated real-world examples to gain confidence in thinking across scientific perspectives. The result is an integrated approach that opens a line of communication between theory and application, enabling readers to actively learn as they read. This overview of capturing and analyzing the behavior of biological systems will interest adherers of systems biology and network analysis, as well as related fields such as bioinformatics, biology, cybernetics, and data science.
The Story Of Numbers
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Author : Asok Kumar Mallik
language : en
Publisher: #N/A
Release Date : 2017-07-27
The Story Of Numbers written by Asok Kumar Mallik and has been published by #N/A this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-07-27 with Mathematics categories.
'… this could make an ideal end-of-year prize for a high-school student who is fascinated by all aspects of number. The subsections provide ideas and opportunities for mathematical exploration. This book might also be deemed a suitable resource for first-year undergraduates in that, via independent study, it would allow such students to broaden their knowledge of various number-theoretic ideas. I would recommend it for the purposes given above.'The Mathematical GazetteThis book is more than a mathematics textbook. It discusses various kinds of numbers and curious interconnections between them. Without getting into hardcore and difficult mathematical technicalities, the book lucidly introduces all kinds of numbers that mathematicians have created. Interesting anecdotes involving great mathematicians and their marvelous creations are included. The reader will get a glimpse of the thought process behind the invention of new mathematics. Starting from natural numbers, the book discusses integers, real numbers, imaginary and complex numbers and some special numbers like quaternions, dual numbers and p-adic numbers.Real numbers include rational, irrational and transcendental numbers. Iterations on real numbers are shown to throw up some unexpected behavior, which has given rise to the new science of 'Chaos'. Special numbers like e, pi, golden ratio, Euler's constant, Gauss's constant, amongst others, are discussed in great detail.The origin of imaginary numbers and the use of complex numbers constitute the next topic. It is shown why modern mathematics cannot even be imagined without imaginary numbers. Iterations on complex numbers are shown to generate a new mathematical object called 'Fractal', which is ubiquitous in nature. Finally, some very special numbers, not mentioned in the usual textbooks, and their applications, are introduced at an elementary level.The level of mathematics discussed in this book is easily accessible to young adults interested in mathematics, high school students, and adults having some interest in basic mathematics. The book concentrates more on the story than on rigorous mathematics.
Java Application Performance And Memory Management
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Author : Matt Greencroft
language : en
Publisher: Multicode Ltd
Release Date : 2022-02-02
Java Application Performance And Memory Management written by Matt Greencroft and has been published by Multicode Ltd this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-02-02 with Computers categories.
The process to transition from being a new Java developer to a confident and competent coder is a difficult one. In this book, author and long-time Java trainer Matt Greencroft guides you through some of the topics that will help you make significant steps along this journey. It is packed with important topics that experienced programmers should know and understand, together with practical advice on how to tune your applications and the JVM to get the best possible performance. Rather than containing a theoretical, highly detailed understanding of the internals of the Java Virtual Machine, this book takes a practical approach. You’ll learn enough to get a good understanding of how the JVM works and how memory is managed in Java, how to make great coding choices, how to configure the JVM, and how to evaluate and benchmark different options to assess their performance metrics in a robust and manageable way. Whether you have an existing application with performance issues to address, have taken one of Matt’s courses and are selecting this book as supporting material, or are simply wanting to advance your career by becoming a better programmer, this book will give you lots of stills and practical experience.
A History Of Mathematics
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Author : Luke Hodgkin
language : en
Publisher: OUP Oxford
Release Date : 2013-02-21
A History Of Mathematics written by Luke Hodgkin and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-02-21 with Mathematics categories.
A History of Mathematics: From Mesopotamia to Modernity covers the evolution of mathematics through time and across the major Eastern and Western civilizations. It begins in Babylon, then describes the trials and tribulations of the Greek mathematicians. The important, and often neglected, influence of both Chinese and Islamic mathematics is covered in detail, placing the description of early Western mathematics in a global context. The book concludes with modern mathematics, covering recent developments such as the advent of the computer, chaos theory, topology, mathematical physics, and the solution of Fermat's Last Theorem. Containing more than 100 illustrations and figures, this text, aimed at advanced undergraduates and postgraduates, addresses the methods and challenges associated with studying the history of mathematics. The reader is introduced to the leading figures in the history of mathematics (including Archimedes, Ptolemy, Qin Jiushao, al-Kashi, al-Khwarizmi, Galileo, Newton, Leibniz, Helmholtz, Hilbert, Alan Turing, and Andrew Wiles) and their fields. An extensive bibliography with cross-references to key texts will provide invaluable resource to students and exercises (with solutions) will stretch the more advanced reader.
Making Numbers Count
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Author : Chip Heath
language : en
Publisher: Random House
Release Date : 2022-01-13
Making Numbers Count written by Chip Heath and has been published by Random House this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-01-13 with Mathematics categories.
A lively, practical, first-of-its-kind guide to understanding cold, clinical data and harnessing it to tell a persuasive story. __________ How many hours' worth of songs are on your Spotify Wrapped this year? How much is your commute time really worth? How do you work out how likely you are to get Covid based on the official statistics? How do your viewing hours track against the most popular shows on Netflix? Whether you're interested in global problems like climate change, running a business, or just grasping how few people have washed their hands between visiting the bathroom and touching you, this book will help math-lovers and math-haters alike translate the numbers that illuminate our world. Until very recently, most languages had no words for numbers greater than five - anything from six to infinity was known as 'lots'. While the numbers in our world have become increasingly complex, our brains are stuck in the past. Yet the ability to communicate and understand numbers has never mattered more. How can we more effectively translate numbers and stats - so fundamental to the next big idea - to make data come to life? Drawing on years of research into making ideas stick, Chip Heath and Karla Starr outline six critical principles that will give anyone the tools to communicate numbers with more transparency and meaning. Using concepts such as simplicity, concreteness and familiarity, they show us how to transform hard numbers into their most engaging form, allowing us to bring more data, more naturally, into decisions in our schools, our workplaces and our society.
The Math Gene
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Author : Keith Devlin
language : en
Publisher: Basic Books
Release Date : 2001-05-17
The Math Gene written by Keith Devlin and has been published by Basic Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-05-17 with Science categories.
If people are endowed with a "number instinct" similar to the "language instinct" -- as recent research suggests -- then why can't everyone do math? In The Math Gene, mathematician and popular writer Keith Devlin attacks both sides of this question. Devlin offers a breathtakingly new theory of language development that describes how language evolved in two stages and how its main purpose was not communication. Devlin goes on to show that the ability to think mathematically arose out of the same symbol-manipulating ability that was so crucial to the very first emergence of true language. Why, then, can't we do math as well as we speak? The answer, says Devlin, is that we can and do -- we just don't recognize when we're using mathematical reasoning.
The Number Sense
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Author : Stanislas Dehaene
language : en
Publisher: OUP USA
Release Date : 2011-04-29
The Number Sense written by Stanislas Dehaene and has been published by OUP USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-04-29 with Mathematics categories.
"Our understanding of how the human brain performs mathematical calculations is far from complete. In The Number Sense, Stanislas Dehaene offers readers an enlightening exploration of the mathematical mind. Using research showing that human infants have a rudimentary number sense, Dehaene suggests that this sense is as basic as our perception of color, and that it is wired into the brain. But how then did we leap from this basic number ability to trigonometry, calculus, and beyond? Dehaene shows that it was the invention of symbolic systems of numerals that started us on the climb to higher mathematics. Tracing the history of numbers, we learn that in early times, people indicated numbers by pointing to part of their bodies, and how Roman numerals were replaced by modern numbers. On the way, we also discover many fascinating facts: for example, because Chinese names for numbers are short, Chinese people can remember up to nine or ten digits at a time, while English-speaking people can only remember seven. A fascinating look at the crossroads where numbers and neurons intersect, The Number Sense offers an intriguing tour of how the structure of the brain shapes our mathematical abilities, and how math can open up a window on the human mind"-- Provided by publisher.