Why Minus Times Minus Is Plus

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Why Minus Times Minus Is Plus

Author : Nils K. Oeijord
Publisher : iUniverse
ISBN 13 : 145024064X
Total Pages : 134 pages
Book Rating : 4.4/5 (52 download)

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Book Synopsis Why Minus Times Minus Is Plus by : Nils K. Oeijord

Download or read book Why Minus Times Minus Is Plus written by Nils K. Oeijord and published by iUniverse. This book was released on 2010-07-14 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt: MATHEMATICS / ALGEBRA This book is written for a very broad audience. There are no particular prerequisites for reading this book. We hope students of High Schools, Colleges, and Universities, as well as hobby mathematicians, will like and benefit from this book. The book is rigorous and self-contained. All results are proved (or the proofs are optional exercises) and stated as theorems. Important points are covered by examples and optional exercises. Additionally there are also two sections called More optional exercises (with answers). Modern technology uses complex numbers for just about everything. Actually, there is no way one can formulate quantum mechanics without resorting to complex numbers. Leonard Euler (1707-1786) considered it natural to introduce students to complex numbers much earlier than we do today. Even in his elementary algebra textbook he uses complex numbers throughout the book. Nils K. Oeijord is a science writer and a former assistant professor of mathematics at Tromsoe College, Norway. He is the author of The Very Basics of Tensors, and several other books in English and Norwegian. Nils K. Oeijord is the discoverer of the general genetic catastrophe (GGC).

Negative Math

Author : Alberto A. Martínez
Publisher : Princeton University Press
ISBN 13 : 9780691123097
Total Pages : 288 pages
Book Rating : 4.1/5 (23 download)

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Book Synopsis Negative Math by : Alberto A. Martínez

Download or read book Negative Math written by Alberto A. Martínez and published by Princeton University Press. This book was released on 2006 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: Explores controversies in the history of numbers, especially the so-called negative and ''impossible'' numbers. This book uses history, puzzles, and lively debates to demonstrate how it is possible to devise new artificial systems of mathematical rules. It contends that departures from traditional rules can even be the basis for new applications.

Math with Bad Drawings

Author : Ben Orlin
Publisher : Black Dog & Leventhal
ISBN 13 : 0316509027
Total Pages : 556 pages
Book Rating : 4.3/5 (165 download)

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Book Synopsis Math with Bad Drawings by : Ben Orlin

Download or read book Math with Bad Drawings written by Ben Orlin and published by Black Dog & Leventhal. This book was released on 2018-09-18 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt: A hilarious reeducation in mathematics-full of joy, jokes, and stick figures-that sheds light on the countless practical and wonderful ways that math structures and shapes our world. In Math With Bad Drawings, Ben Orlin reveals to us what math actually is; its myriad uses, its strange symbols, and the wild leaps of logic and faith that define the usually impenetrable work of the mathematician. Truth and knowledge come in multiple forms: colorful drawings, encouraging jokes, and the stories and insights of an empathetic teacher who believes that math should belong to everyone. Orlin shows us how to think like a mathematician by teaching us a brand-new game of tic-tac-toe, how to understand an economic crises by rolling a pair of dice, and the mathematical headache that ensues when attempting to build a spherical Death Star. Every discussion in the book is illustrated with Orlin's trademark "bad drawings," which convey his message and insights with perfect pitch and clarity. With 24 chapters covering topics from the electoral college to human genetics to the reasons not to trust statistics, Math with Bad Drawings is a life-changing book for the math-estranged and math-enamored alike.

A Certain World

Author : Wystan Hugh Auden
Publisher :
ISBN 13 : 9780571119400
Total Pages : 452 pages
Book Rating : 4.1/5 (194 download)

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Book Synopsis A Certain World by : Wystan Hugh Auden

Download or read book A Certain World written by Wystan Hugh Auden and published by . This book was released on 1982 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: Poesi og prosa - og meget andet - i udvalg

Diophantus of Alexandria

Author : Thomas L. Heath
Publisher : CUP Archive
ISBN 13 :
Total Pages : 406 pages
Book Rating : 4./5 ( download)

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Book Synopsis Diophantus of Alexandria by : Thomas L. Heath

Download or read book Diophantus of Alexandria written by Thomas L. Heath and published by CUP Archive. This book was released on 1910 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Agile Retrospectives

Author : Esther Derby
Publisher : Pragmatic Bookshelf
ISBN 13 : 1680503103
Total Pages : 216 pages
Book Rating : 4.6/5 (85 download)

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Book Synopsis Agile Retrospectives by : Esther Derby

Download or read book Agile Retrospectives written by Esther Derby and published by Pragmatic Bookshelf. This book was released on 2006-07-26 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: Project retrospectives help teams examine what went right and what went wrong on a project. But traditionally, retrospectives (also known as “post-mortems”) are only held at the end of the project—too late to help. You need agile retrospectives that are iterative and incremental. You need to accurately find and fix problems to help the team today. Now Esther and Diana show you the tools, tricks and tips you need to fix the problems you face on a software development project on an on-going basis. You’ll see how to architect retrospectives in general, how to design them specifically for your team and organization, how to run them effectively, how to make the needed changes and how to scale these techniques up. You’ll learn how to deal with problems, and implement solutions effectively throughout the project—not just at the end. This book will help you: Design and run effective retrospectives Learn how to find and fix problems Find and reinforce team strengths Address people issues as well as technological Use tools and recipes proven in the real world With regular tune-ups, your team will hum like a precise, world-class orchestra.

Mathematics for Elementary Teachers

Author : Albert B. Bennett
Publisher : McGraw-Hill Science, Engineering & Mathematics
ISBN 13 : 9780073053707
Total Pages : 0 pages
Book Rating : 4.0/5 (537 download)

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Book Synopsis Mathematics for Elementary Teachers by : Albert B. Bennett

Download or read book Mathematics for Elementary Teachers written by Albert B. Bennett and published by McGraw-Hill Science, Engineering & Mathematics. This book was released on 2007 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is designed for a mathematics for elementary school teachers course where instructors choose to focus on and/or take an activities approach to learning. It provides inductive activities for prospective elementary school teachers and incorporates the use of physical models, manipulatives, and visual images to develop concepts and encourage higher-level thinking. This text contains an activity set that corresponds to each section of the companion text, Mathematics for Elementary Teachers: A Conceptual Approach which is also by Bennett/Nelson. The Activities Approach text can be used independently or along with its companion volume. The authors are pleased to welcome Laurie Burton, PhD, Western Oregon University to this edition of Mathematics for Elementary Teachers: An Activity Approach.

The Emergence of Number

Author : John N. Crossley
Publisher : World Scientific
ISBN 13 : 9789971504144
Total Pages : 240 pages
Book Rating : 4.5/5 (41 download)

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Book Synopsis The Emergence of Number by : John N. Crossley

Download or read book The Emergence of Number written by John N. Crossley and published by World Scientific. This book was released on 1987 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents detailed studies of the development of three kinds of number. In the first part the development of the natural numbers from Stone-Age times right up to the present day is examined not only from the point of view of pure history but also taking into account archaeological, anthropological and linguistic evidence. The dramatic change caused by the introduction of logical theories of number in the 19th century is also treated and this part ends with a non-technical account of the very latest developments in the area of Gdel's theorem. The second part is concerned with the development of complex numbers and tries to answer the question as to why complex numbers were not introduced before the 16th century and then, by looking at the original materials, shows how they were introduced as a pragmatic device which was only subsequently shown to be theoretically justifiable. The third part concerns the real numbers and examines the distinction that the Greeks made between number and magnitude. It then traces the gradual development of a theory of real numbers up to the precise formulations in the nineteeth century. The importance of the Greek distinction between the number line and the geometric line is brought into sharp focus.This is an new edition of the book which first appeared privately published in 1980 and is now out of print. Substantial revisions have been made throughout the text, incorporating new material which has recently come to light and correcting a few relatively minor errors. The third part on real numbers has been very extensively revised and indeed the last chapter has been almost completely rewritten. Many revisions are the results of comments from earlier readers of the book.

The Minus Times Collected

Author : Hunter Kennedy
Publisher : Featherproof Books
ISBN 13 : 9780983186328
Total Pages : 0 pages
Book Rating : 4.1/5 (863 download)

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Book Synopsis The Minus Times Collected by : Hunter Kennedy

Download or read book The Minus Times Collected written by Hunter Kennedy and published by Featherproof Books. This book was released on 2012 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The alternate universe that Hunter Kennedy has built around The Minus Times stands apart and stands the test of time. The Minus Times Collected features all 30 nearly-impossible-to-find issues over the past 20 years, with work from authors like Dan Clowes, David Berman, Sam Lipsyte and Patrick deWitt, as well as an interview with a then-unknown Stephen Colbert. The Minus Times has earned a fervent following for its lack of literary pretension. Now, finally, every issue of this improvised literary almanac can be bought together, typos and all.

Let's Play Math

Author : Denise Gaskins
Publisher : Tabletop Academy Press
ISBN 13 : 1892083248
Total Pages : 288 pages
Book Rating : 4.8/5 (92 download)

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Book Synopsis Let's Play Math by : Denise Gaskins

Download or read book Let's Play Math written by Denise Gaskins and published by Tabletop Academy Press. This book was released on 2012-09-04 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Social Science Data Analysis

Author : Florian G. Hartmann
Publisher : Springer Nature
ISBN 13 : 3658412305
Total Pages : 194 pages
Book Rating : 4.6/5 (584 download)

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Book Synopsis Social Science Data Analysis by : Florian G. Hartmann

Download or read book Social Science Data Analysis written by Florian G. Hartmann and published by Springer Nature. This book was released on 2023-05-05 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, basic statistical knowledge is conveyed in an understandable and application-oriented manner. The readers should be enabled to carry out their own empirical evaluations and to understand or critically reflect on existing analyses. The third edition is extended by a detailed chapter on the logic of significance tests. A replication syntax for the statistical program Stata is provided online as supplementary material.

Twenty Years Before the Blackboard

Author : Michael Stueben
Publisher : Cambridge University Press
ISBN 13 : 9780883855256
Total Pages : 172 pages
Book Rating : 4.8/5 (552 download)

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Book Synopsis Twenty Years Before the Blackboard by : Michael Stueben

Download or read book Twenty Years Before the Blackboard written by Michael Stueben and published by Cambridge University Press. This book was released on 1998-09-17 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the legacy of twenty years of mathematics teaching: part philosophy, part humour, and completely fascinating.

Calculus For Dummies

Author : Mark Ryan
Publisher : John Wiley & Sons
ISBN 13 : 1119297435
Total Pages : 446 pages
Book Rating : 4.1/5 (192 download)

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Book Synopsis Calculus For Dummies by : Mark Ryan

Download or read book Calculus For Dummies written by Mark Ryan and published by John Wiley & Sons. This book was released on 2016-05-18 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: Slay the calculus monster with this user-friendly guide Calculus For Dummies, 2nd Edition makes calculus manageable—even if you're one of the many students who sweat at the thought of it. By breaking down differentiation and integration into digestible concepts, this guide helps you build a stronger foundation with a solid understanding of the big ideas at work. This user-friendly math book leads you step-by-step through each concept, operation, and solution, explaining the "how" and "why" in plain English instead of math-speak. Through relevant instruction and practical examples, you'll soon learn that real-life calculus isn't nearly the monster it's made out to be. Calculus is a required course for many college majors, and for students without a strong math foundation, it can be a real barrier to graduation. Breaking that barrier down means recognizing calculus for what it is—simply a tool for studying the ways in which variables interact. It's the logical extension of the algebra, geometry, and trigonometry you've already taken, and Calculus For Dummies, 2nd Edition proves that if you can master those classes, you can tackle calculus and win. Includes foundations in algebra, trigonometry, and pre-calculus concepts Explores sequences, series, and graphing common functions Instructs you how to approximate area with integration Features things to remember, things to forget, and things you can't get away with Stop fearing calculus, and learn to embrace the challenge. With this comprehensive study guide, you'll gain the skills and confidence that make all the difference. Calculus For Dummies, 2nd Edition provides a roadmap for success, and the backup you need to get there.

Negative Math

Author : Alberto A. Martínez
Publisher : Princeton University Press
ISBN 13 : 0691187827
Total Pages : 280 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis Negative Math by : Alberto A. Martínez

Download or read book Negative Math written by Alberto A. Martínez and published by Princeton University Press. This book was released on 2018-06-05 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: A student in class asks the math teacher: "Shouldn't minus times minus make minus?" Teachers soon convince most students that it does not. Yet the innocent question brings with it a germ of mathematical creativity. What happens if we encourage that thought, odd and ungrounded though it may seem? Few books in the field of mathematics encourage such creative thinking. Fewer still are engagingly written and fun to read. This book succeeds on both counts. Alberto Martinez shows us how many of the mathematical concepts that we take for granted were once considered contrived, imaginary, absurd, or just plain wrong. Even today, he writes, not all parts of math correspond to things, relations, or operations that we can actually observe or carry out in everyday life. Negative Math ponders such issues by exploring controversies in the history of numbers, especially the so-called negative and "impossible" numbers. It uses history, puzzles, and lively debates to demonstrate how it is still possible to devise new artificial systems of mathematical rules. In fact, the book contends, departures from traditional rules can even be the basis for new applications. For example, by using an algebra in which minus times minus makes minus, mathematicians can describe curves or trajectories that are not represented by traditional coordinate geometry. Clear and accessible, Negative Math expects from its readers only a passing acquaintance with basic high school algebra. It will prove pleasurable reading not only for those who enjoy popular math, but also for historians, philosophers, and educators. Key Features? Uses history, puzzles, and lively debates to devise new mathematical systems Shows how departures from rules can underlie new practical applications Clear and accessible Requires a background only in basic high school algebra

Hearings, Reports and Prints of the Senate Committee on Labor and Public Welfare

Author : United States. Congress. Senate. Committee on Labor and Public Welfare
Publisher :
ISBN 13 :
Total Pages : 1528 pages
Book Rating : 4.:/5 (36 download)

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Book Synopsis Hearings, Reports and Prints of the Senate Committee on Labor and Public Welfare by : United States. Congress. Senate. Committee on Labor and Public Welfare

Download or read book Hearings, Reports and Prints of the Senate Committee on Labor and Public Welfare written by United States. Congress. Senate. Committee on Labor and Public Welfare and published by . This book was released on with total page 1528 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Philosophy of Mathematics Education Today

Author : Paul Ernest
Publisher : Springer
ISBN 13 : 3319777602
Total Pages : 375 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis The Philosophy of Mathematics Education Today by : Paul Ernest

Download or read book The Philosophy of Mathematics Education Today written by Paul Ernest and published by Springer. This book was released on 2018-06-09 with total page 375 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers an up-to-date overview of the research on philosophy of mathematics education, one of the most important and relevant areas of theory. The contributions analyse, question, challenge, and critique the claims of mathematics education practice, policy, theory and research, offering ways forward for new and better solutions. The book poses basic questions, including: What are our aims of teaching and learning mathematics? What is mathematics anyway? How is mathematics related to society in the 21st century? How do students learn mathematics? What have we learnt about mathematics teaching? Applied philosophy can help to answer these and other fundamental questions, and only through an in-depth analysis can the practice of the teaching and learning of mathematics be improved. The book addresses important themes, such as critical mathematics education, the traditional role of mathematics in schools during the current unprecedented political, social, and environmental crises, and the way in which the teaching and learning of mathematics can better serve social justice and make the world a better place for the future.

Head First Algebra

Author : Tracey Pilone
Publisher : "O'Reilly Media, Inc."
ISBN 13 : 0596514867
Total Pages : 559 pages
Book Rating : 4.5/5 (965 download)

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Book Synopsis Head First Algebra by : Tracey Pilone

Download or read book Head First Algebra written by Tracey Pilone and published by "O'Reilly Media, Inc.". This book was released on 2009 with total page 559 pages. Available in PDF, EPUB and Kindle. Book excerpt: Using the latest research in cognitive science and learning theory to craft a multi-sensory learning experience, the book uses a visually rich format designed for the way your brain works, not a text-heavy approach that puts you to sleep.--Publisher's note.