Making up Numbers: A History of Invention in Mathematics

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

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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.

Concrete Abstractions

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Publisher : Max Hailperin
ISBN 13 : 0534952119
Total Pages : 686 pages
Book Rating : 4.5/5 (349 download)

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Book Synopsis Concrete Abstractions by : Max Hailperin

Download or read book Concrete Abstractions written by Max Hailperin and published by Max Hailperin. This book was released on 1999 with total page 686 pages. Available in PDF, EPUB and Kindle. Book excerpt: CONCRETE ABSTRACTIONS offers students a hands-on, abstraction-based experience of thinking like a computer scientist. This text covers the basics of programming and data structures, and gives first-time computer science students the opportunity to not only write programs, but to prove theorems and analyze algorithms as well. Students learn a variety of programming styles, including functional programming, assembly-language programming, and object-oriented programming (OOP). While most of the book uses the Scheme programming language, Java is introduced at the end as a second example of an OOP system and to demonstrate concepts of concurrent programming.

The Contemporary Art Scene in Syria

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Author :
Publisher : Routledge
ISBN 13 : 1000067890
Total Pages : 225 pages
Book Rating : 4.0/5 ( download)

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Book Synopsis The Contemporary Art Scene in Syria by : Charlotte Bank

Download or read book The Contemporary Art Scene in Syria written by Charlotte Bank and published by Routledge. This book was released on 2020-05-31 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on the expanding contemporary art scene in Syria, particularly Damascus, during the first decade of the twenty-first century. The decade was characterized by a high degree of experimentation as young artists began to work with artistic media that were new in Syria, such as video, installation and performance art. They were rethinking the role of artists in society and looking for ways to reach audiences in a more direct manner and address socio-cultural and socio-political issues. The Contemporary Art Scene in Syria will be of interest to scholars of global and Middle Eastern art studies, and also to scholars interested in the recent social and cultural history of Syria and the wider Middle East.

Destination Maths-TB

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Publisher : New Saraswati House India Pvt Ltd
ISBN 13 : 9351996689
Total Pages : pages
Book Rating : 4.3/5 (519 download)

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Book Synopsis Destination Maths-TB by : Kusum Wadhwa, Anju Loomba

Download or read book Destination Maths-TB written by Kusum Wadhwa, Anju Loomba and published by New Saraswati House India Pvt Ltd. This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: A series in Mathematics. The ebook version does not contain CD.

Mathematics and Computation

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Publisher : Princeton University Press
ISBN 13 : 0691189137
Total Pages : 434 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis Mathematics and Computation by : Avi Wigderson

Download or read book Mathematics and Computation written by Avi Wigderson and published by Princeton University Press. This book was released on 2019-10-29 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the winner of the Turing Award and the Abel Prize, an introduction to computational complexity theory, its connections and interactions with mathematics, and its central role in the natural and social sciences, technology, and philosophy Mathematics and Computation provides a broad, conceptual overview of computational complexity theory—the mathematical study of efficient computation. With important practical applications to computer science and industry, computational complexity theory has evolved into a highly interdisciplinary field, with strong links to most mathematical areas and to a growing number of scientific endeavors. Avi Wigderson takes a sweeping survey of complexity theory, emphasizing the field’s insights and challenges. He explains the ideas and motivations leading to key models, notions, and results. In particular, he looks at algorithms and complexity, computations and proofs, randomness and interaction, quantum and arithmetic computation, and cryptography and learning, all as parts of a cohesive whole with numerous cross-influences. Wigderson illustrates the immense breadth of the field, its beauty and richness, and its diverse and growing interactions with other areas of mathematics. He ends with a comprehensive look at the theory of computation, its methodology and aspirations, and the unique and fundamental ways in which it has shaped and will further shape science, technology, and society. For further reading, an extensive bibliography is provided for all topics covered. Mathematics and Computation is useful for undergraduate and graduate students in mathematics, computer science, and related fields, as well as researchers and teachers in these fields. Many parts require little background, and serve as an invitation to newcomers seeking an introduction to the theory of computation. Comprehensive coverage of computational complexity theory, and beyond High-level, intuitive exposition, which brings conceptual clarity to this central and dynamic scientific discipline Historical accounts of the evolution and motivations of central concepts and models A broad view of the theory of computation's influence on science, technology, and society Extensive bibliography

Mathematical Quickies & Trickies

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Author :
Publisher : MathPlus Publishing
ISBN 13 : 9810854129
Total Pages : 208 pages
Book Rating : 4.8/5 (18 download)

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Book Synopsis Mathematical Quickies & Trickies by : Yan Kow Cheong

Download or read book Mathematical Quickies & Trickies written by Yan Kow Cheong and published by MathPlus Publishing. This book was released on 2014-10-17 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: Singapore’s bestselling Mathematical Quickies & Trickies, which has sold over 90,000 copies locally, contains more than 300 nonroutine problems to enhance students’ mathematical problem-solving skills. With many creative worked examples and questions, and with cartoons sprinkled throughout the book, Mathematical Quickies & Trickies would appeal primarily to these audiences: * grades 5-7 students and teachers looking for some fertile trick and tricky questions; * mathletes preparing for local and regional contests and competitions; * problem solvers longing to be challenged by questions whose obvious solutions are never the correct ones for what offhand appears to be true is false. With proper insight, you’ll learn how to solve these tricky problems almost instantly, whose solutions are almost never the correct ones. You need no longer be caught off-guard; instead, you’ll learn to solve these questions confidently—how to tame these counter-intuitive questions into routine ones. Contents 1. Mental Computation I 2. Mental Computation 2 3. Number Series 4. A Tricky Way with Fractions 5. Test Your Calculator Proficiency 6. Simplifying a Complex Fraction 7. Recurring Decimals 8. Is Zero an Even or Odd Integer? 9. Casting Out Nines 10. Be a Calculator Expert 11. Division by 9 12. Number Riddles 13. Ten Steps to be Math Smart 14. Shortcuts a la Trachtenberg 15. Geometrical Quickies 1 16. Geometrical Quickies 2 17. Geometrical Quickies 3 18. (Sugar + Coffee) + Milk = Sugar + (Coffee + Milk) 19. Applications of Number Laws 20. Law of One 21. Distributive Law 22. More Applications of Distributive Law 23. The Joy of Guesstimation 24. Are You a Fermi Disciple? 25. Bravo Singapore 26. Lightning Calculators 27. Geometrical Quickies 4 28. Some Calculator Quickies Answers & Solutions Bibliography & References Type of e-book: Nonfiction, problem solving, recreational, Singapore math, trick questions Audiences: Suitable for Grades 4-7 (or Primary 4-7 levels)

Understanding Reading

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Publisher : Routledge
ISBN 13 : 1135619727
Total Pages : 569 pages
Book Rating : 4.1/5 (356 download)

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Book Synopsis Understanding Reading by : Frank Smith

Download or read book Understanding Reading written by Frank Smith and published by Routledge. This book was released on 2004-05-20 with total page 569 pages. Available in PDF, EPUB and Kindle. Book excerpt: Understanding Reading revolutionized reading research and theory when the first edition appeared in 1971 and continues to be a leader in the field. In the sixth edition of this classic text, Smith's purpose remains the same: to shed light on fundamental aspects of the complex human act of reading--linguistic, physiological, psychological, and social--and on what is involved in learning to read. The text critically examines current theories, instructional practices, and controversies, covering a wide range of disciplines but always remaining accessible to students and classroom teachers. Careful attention is given to the ideological clash that continues between whole language and direct instruction and currently permeates every aspect of theory and research into reading and reading instruction. To aid readers in making up their own minds, each chapter concludes with a brief statement of "Issues." Understanding Reading: A Psycholinguistic Analysis of Reading and Learning to Read, Sixth Edition is designed to serve as a handbook for language arts teachers, a college text for basic courses on the psychology of reading, a guide to relevant research on reading, and an introduction to reading as an aspect of thinking and learning. It is matchless in integrating a wide range of topics relative to reading while, at the same time, being highly readable and user-friendly for instructors, students, and practitioners.

A Guide to Starting a Business in Minnesota

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Publisher :
ISBN 13 :
Total Pages : 112 pages
Book Rating : 4.:/5 (891 download)

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Book Synopsis A Guide to Starting a Business in Minnesota by : Charles A. Schaffer

Download or read book A Guide to Starting a Business in Minnesota written by Charles A. Schaffer and published by . This book was released on 1983 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Blindsight

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Publisher : Macmillan
ISBN 13 : 1429955198
Total Pages : 388 pages
Book Rating : 4.4/5 (299 download)

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Book Synopsis Blindsight by : Peter Watts

Download or read book Blindsight written by Peter Watts and published by Macmillan. This book was released on 2006-10-03 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hugo and Shirley Jackson award-winning Peter Watts stands on the cutting edge of hard SF with his acclaimed novel, Blindsight Two months since the stars fell... Two months of silence, while a world held its breath. Now some half-derelict space probe, sparking fitfully past Neptune's orbit, hears a whisper from the edge of the solar system: a faint signal sweeping the cosmos like a lighthouse beam. Whatever's out there isn't talking to us. It's talking to some distant star, perhaps. Or perhaps to something closer, something en route. So who do you send to force introductions with unknown and unknowable alien intellect that doesn't wish to be met? You send a linguist with multiple personalities, her brain surgically partitioned into separate, sentient processing cores. You send a biologist so radically interfaced with machinery that he sees x-rays and tastes ultrasound. You send a pacifist warrior in the faint hope she won't be needed. You send a monster to command them all, an extinct hominid predator once called vampire, recalled from the grave with the voodoo of recombinant genetics and the blood of sociopaths. And you send a synthesist—an informational topologist with half his mind gone—as an interface between here and there. Pray they can be trusted with the fate of a world. They may be more alien than the thing they've been sent to find. At the Publisher's request, this title is being sold without Digital Rights Management Software (DRM) applied.

The History of Mathematics

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Publisher : WCB/McGraw-Hill
ISBN 13 : 9780697068552
Total Pages : 544 pages
Book Rating : 4.0/5 (685 download)

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Book Synopsis The History of Mathematics by : David M. Burton

Download or read book The History of Mathematics written by David M. Burton and published by WCB/McGraw-Hill. This book was released on 1985 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The History of Mathematics: An Introduction," Sixth Edition, is written for the one- or two-semester math history course taken by juniors or seniors, and covers the history behind the topics typically covered in an undergraduate math curriculum or in elementary schools or high schools. Elegantly written in David Burton's imitable prose, this classic text provides rich historical context to the mathematics that undergrad math and math education majors encounter every day. Burton illuminates the people, stories, and social context behind mathematics'greatest historical advances while maintaining appropriate focus on the mathematical concepts themselves. Its wealth of information, mathematical and historical accuracy, and renowned presentation make The History of Mathematics: An Introduction, Sixth Edition a valuable resource that teachers and students will want as part of a permanent library.

How I Became a Quant

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Publisher : John Wiley & Sons
ISBN 13 : 1118044754
Total Pages : 406 pages
Book Rating : 4.1/5 (18 download)

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Book Synopsis How I Became a Quant by : Richard R. Lindsey

Download or read book How I Became a Quant written by Richard R. Lindsey and published by John Wiley & Sons. This book was released on 2011-01-11 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: Praise for How I Became a Quant "Led by two top-notch quants, Richard R. Lindsey and Barry Schachter, How I Became a Quant details the quirky world of quantitative analysis through stories told by some of today's most successful quants. For anyone who might have thought otherwise, there are engaging personalities behind all that number crunching!" --Ira Kawaller, Kawaller & Co. and the Kawaller Fund "A fun and fascinating read. This book tells the story of how academics, physicists, mathematicians, and other scientists became professional investors managing billions." --David A. Krell, President and CEO, International Securities Exchange "How I Became a Quant should be must reading for all students with a quantitative aptitude. It provides fascinating examples of the dynamic career opportunities potentially open to anyone with the skills and passion for quantitative analysis." --Roy D. Henriksson, Chief Investment Officer, Advanced Portfolio Management "Quants"--those who design and implement mathematical models for the pricing of derivatives, assessment of risk, or prediction of market movements--are the backbone of today's investment industry. As the greater volatility of current financial markets has driven investors to seek shelter from increasing uncertainty, the quant revolution has given people the opportunity to avoid unwanted financial risk by literally trading it away, or more specifically, paying someone else to take on the unwanted risk. How I Became a Quant reveals the faces behind the quant revolution, offering you?the?chance to learn firsthand what it's like to be a?quant today. In this fascinating collection of Wall Street war stories, more than two dozen quants detail their roots, roles, and contributions, explaining what they do and how they do it, as well as outlining the sometimes unexpected paths they have followed from the halls of academia to the front lines of an investment revolution.

A Complete Guide to Programming in C++

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Publisher : Jones & Bartlett Learning
ISBN 13 : 9780763718176
Total Pages : 852 pages
Book Rating : 4.7/5 (181 download)

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Book Synopsis A Complete Guide to Programming in C++ by : Ulla Kirch-Prinz

Download or read book A Complete Guide to Programming in C++ written by Ulla Kirch-Prinz and published by Jones & Bartlett Learning. This book was released on 2002 with total page 852 pages. Available in PDF, EPUB and Kindle. Book excerpt: This guide was written for readers interested in learning the C++ programming language from scratch, and for both novice and advanced C++ programmers wishing to enhance their knowledge of C++. The text is organized to guide the reader from elementary language concepts to professional software development, with in depth coverage of all the C++ language elements en route.

The Number Sense

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Publisher : OUP USA
ISBN 13 : 0199753873
Total Pages : 339 pages
Book Rating : 4.1/5 (997 download)

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Book Synopsis The Number Sense by : Stanislas Dehaene

Download or read book The Number Sense written by Stanislas Dehaene and published by OUP USA. This book was released on 2011-04-29 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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.

5000 Years of Geometry

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Publisher : Birkhäuser
ISBN 13 : 3034808984
Total Pages : 638 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis 5000 Years of Geometry by : Christoph J. Scriba

Download or read book 5000 Years of Geometry written by Christoph J. Scriba and published by Birkhäuser. This book was released on 2015-04-22 with total page 638 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present volume provides a fascinating overview of geometrical ideas and perceptions from the earliest cultures to the mathematical and artistic concepts of the 20th century. It is the English translation of the 3rd edition of the well-received German book “5000 Jahre Geometrie,” in which geometry is presented as a chain of developments in cultural history and their interaction with architecture, the visual arts, philosophy, science and engineering. Geometry originated in the ancient cultures along the Indus and Nile Rivers and in Mesopotamia, experiencing its first “Golden Age” in Ancient Greece. Inspired by the Greek mathematics, a new germ of geometry blossomed in the Islamic civilizations. Through the Oriental influence on Spain, this knowledge later spread to Western Europe. Here, as part of the medieval Quadrivium, the understanding of geometry was deepened, leading to a revival during the Renaissance. Together with parallel achievements in India, China, Japan and the ancient American cultures, the European approaches formed the ideas and branches of geometry we know in the modern age: coordinate methods, analytical geometry, descriptive and projective geometry in the 17th an 18th centuries, axiom systems, geometry as a theory with multiple structures and geometry in computer sciences in the 19th and 20th centuries. Each chapter of the book starts with a table of key historical and cultural dates and ends with a summary of essential contents of geometr y in the respective era. Compelling examples invite the reader to further explore the problems of geometry in ancient and modern times. The book will appeal to mathematicians interested in Geometry and to all readers with an interest in cultural history. From letters to the authors for the German language edition I hope it gets a translation, as there is no comparable work. Prof. J. Grattan-Guinness (Middlesex University London) "Five Thousand Years of Geometry" - I think it is the most handsome book I have ever seen from Springer and the inclusion of so many color plates really improves its appearance dramatically! Prof. J.W. Dauben (City University of New York) An excellent book in every respect. The authors have successfully combined the history of geometry with the general development of culture and history. ... The graphic design is also excellent. Prof. Z. Nádenik (Czech Technical University in Prague)

Mathematics for Computer Science

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Publisher :
ISBN 13 : 9789888407064
Total Pages : 988 pages
Book Rating : 4.4/5 (7 download)

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Book Synopsis Mathematics for Computer Science by : Eric Lehman

Download or read book Mathematics for Computer Science written by Eric Lehman and published by . This book was released on 2017-03-08 with total page 988 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers elementary discrete mathematics for computer science and engineering. It emphasizes mathematical definitions and proofs as well as applicable methods. Topics include formal logic notation, proof methods; induction, well-ordering; sets, relations; elementary graph theory; integer congruences; asymptotic notation and growth of functions; permutations and combinations, counting principles; discrete probability. Further selected topics may also be covered, such as recursive definition and structural induction; state machines and invariants; recurrences; generating functions.

Black Identities

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Publisher : Harvard University Press
ISBN 13 : 9780674044944
Total Pages : 431 pages
Book Rating : 4.0/5 (449 download)

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Book Synopsis Black Identities by : Mary C. WATERS

Download or read book Black Identities written by Mary C. WATERS and published by Harvard University Press. This book was released on 2009-06-30 with total page 431 pages. Available in PDF, EPUB and Kindle. Book excerpt: The story of West Indian immigrants to the United States is generally considered to be a great success. Mary Waters, however, tells a very different story. She finds that the values that gain first-generation immigrants initial success--a willingness to work hard, a lack of attention to racism, a desire for education, an incentive to save--are undermined by the realities of life and race relations in the United States. Contrary to long-held beliefs, Waters finds, those who resist Americanization are most likely to succeed economically, especially in the second generation.

STRUCTURED COMPUTER ORGANIZATION

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Author :
Publisher :
ISBN 13 :
Total Pages : 573 pages
Book Rating : 4.:/5 (476 download)

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Book Synopsis STRUCTURED COMPUTER ORGANIZATION by :

Download or read book STRUCTURED COMPUTER ORGANIZATION written by and published by . This book was released on 1996 with total page 573 pages. Available in PDF, EPUB and Kindle. Book excerpt: