Lectures on the Philosophy of Mathematics
Lectures on the Philosophy of Mathematics

Author: Joel David Hamkins

Publisher: MIT Press

Published: 2021-03-09

Total Pages: 350

ISBN-13: 0262542234

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An introduction to the philosophy of mathematics grounded in mathematics and motivated by mathematical inquiry and practice. In this book, Joel David Hamkins offers an introduction to the philosophy of mathematics that is grounded in mathematics and motivated by mathematical inquiry and practice. He treats philosophical issues as they arise organically in mathematics, discussing such topics as platonism, realism, logicism, structuralism, formalism, infinity, and intuitionism in mathematical contexts. He organizes the book by mathematical themes--numbers, rigor, geometry, proof, computability, incompleteness, and set theory--that give rise again and again to philosophical considerations.

Cell Biology by the Numbers
Cell Biology by the Numbers

Author: Ron Milo

Publisher: Garland Science

Published: 2015-12-07

Total Pages: 400

ISBN-13: 1317230698

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A Top 25 CHOICE 2016 Title, and recipient of the CHOICE Outstanding Academic Title (OAT) Award. How much energy is released in ATP hydrolysis? How many mRNAs are in a cell? How genetically similar are two random people? What is faster, transcription or translation?Cell Biology by the Numbers explores these questions and dozens of others provid

Helping Children Learn Mathematics
Helping Children Learn Mathematics

Author: National Research Council

Publisher: National Academies Press

Published: 2002-07-31

Total Pages: 53

ISBN-13: 0309131987

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Results from national and international assessments indicate that school children in the United States are not learning mathematics well enough. Many students cannot correctly apply computational algorithms to solve problems. Their understanding and use of decimals and fractions are especially weak. Indeed, helping all children succeed in mathematics is an imperative national goal. However, for our youth to succeed, we need to change how we're teaching this discipline. Helping Children Learn Mathematics provides comprehensive and reliable information that will guide efforts to improve school mathematics from pre-kindergarten through eighth grade. The authors explain the five strands of mathematical proficiency and discuss the major changes that need to be made in mathematics instruction, instructional materials, assessments, teacher education, and the broader educational system and answers some of the frequently asked questions when it comes to mathematics instruction. The book concludes by providing recommended actions for parents and caregivers, teachers, administrators, and policy makers, stressing the importance that everyone work together to ensure a mathematically literate society.

The World According to Fannie Davis
The World According to Fannie Davis

Author: Bridgett M. Davis

Publisher: Little, Brown

Published: 2019-01-29

Total Pages: 246

ISBN-13: 0316558710

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As seen on the Today Show: This true story of an unforgettable mother, her devoted daughter, and their life in the Detroit numbers of the 1960s and 1970s highlights "the outstanding humanity of black America" (James McBride). In 1958, the very same year that an unknown songwriter named Berry Gordy borrowed $800 to found Motown Records, a pretty young mother from Nashville, Tennessee, borrowed $100 from her brother to run a numbers racket out of her home. That woman was Fannie Davis, Bridgett M. Davis's mother. Part bookie, part banker, mother, wife, and granddaughter of slaves, Fannie ran her numbers business for thirty-four years, doing what it took to survive in a legitimate business that just happened to be illegal. She created a loving, joyful home, sent her children to the best schools, bought them the best clothes, mothered them to the highest standard, and when the tragedy of urban life struck, soldiered on with her stated belief: "Dying is easy. Living takes guts." A daughter's moving homage to an extraordinary parent, The World According to Fannie Davis is also the suspenseful, unforgettable story about the lengths to which a mother will go to "make a way out of no way" and provide a prosperous life for her family -- and how those sacrifices resonate over time.

What is Mathematics?
What is Mathematics?

Author: Richard Courant

Publisher: Oxford University Press, USA

Published: 1996

Total Pages: 596

ISBN-13: 9780195105193

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The teaching and learning of mathematics has degenerated into the realm of rote memorization, the outcome of which leads to satisfactory formal ability but not real understanding or greater intellectual independence. The new edition of this classic work seeks to address this problem. Its goal is to put the meaning back into mathematics. "Lucid . . . easily understandable".--Albert Einstein. 301 linecuts.

Know Your Chances
Know Your Chances

Author: Steven Woloshin

Publisher: Univ of California Press

Published: 2008-11-30

Total Pages: 154

ISBN-13: 0520252225

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Understanding risk -- Putting risk in perspective -- Risk charts : a way to get perspective -- Judging the benefit of a health intervention -- Not all benefits are equal : understand the outcome -- Consider the downsides -- Do the benefits outweight the downsides? -- Beware of exaggerated importance -- Beware of exaggerated certainty -- Who's behind the numbers?

Head First Algebra
Head First Algebra

Author: Tracey Pilone

Publisher: "O'Reilly Media, Inc."

Published: 2009

Total Pages: 559

ISBN-13: 0596514867

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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.

What Is a Quantum Field Theory?
What Is a Quantum Field Theory?

Author: Michel Talagrand

Publisher: Cambridge University Press

Published: 2022-03-17

Total Pages: 759

ISBN-13: 1316510271

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A lively and erudite introduction for readers with a background in undergraduate mathematics but no previous knowledge of physics.

A Brief History of Numbers
A Brief History of Numbers

Author: Leo Corry

Publisher: OUP Oxford

Published: 2015-08-27

Total Pages: 324

ISBN-13: 0191007072

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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.