Lectures on the Philosophy of Mathematics

Lectures on the Philosophy of Mathematics PDF Author: Joel David Hamkins
Publisher: MIT Press
ISBN: 0262542234
Category : Mathematics
Languages : en
Pages : 350

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Book Description
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.

Lectures on the Philosophy of Mathematics

Lectures on the Philosophy of Mathematics PDF Author: Joel David Hamkins
Publisher: MIT Press
ISBN: 0262542234
Category : Mathematics
Languages : en
Pages : 350

Get Book Here

Book Description
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 PDF Author: Ron Milo
Publisher: Garland Science
ISBN: 1317230698
Category : Science
Languages : en
Pages : 400

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Book Description
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 PDF Author: National Research Council
Publisher: National Academies Press
ISBN: 0309131987
Category : Education
Languages : en
Pages : 53

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Book Description
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.

Know Your Chances

Know Your Chances PDF Author: Steven Woloshin
Publisher: Univ of California Press
ISBN: 0520252225
Category : Family & Relationships
Languages : en
Pages : 154

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Book Description
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?

Number Talks

Number Talks PDF Author: Sherry Parrish
Publisher: Math Solutions
ISBN: 1935099116
Category : Education
Languages : en
Pages : 434

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Book Description
"A multimedia professional learning resource"--Cover.

The World According to Fannie Davis

The World According to Fannie Davis PDF Author: Bridgett M. Davis
Publisher: Little, Brown
ISBN: 0316558710
Category : Biography & Autobiography
Languages : en
Pages : 246

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Book Description
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? PDF Author: Richard Courant
Publisher: Oxford University Press, USA
ISBN: 9780195105193
Category : Juvenile Nonfiction
Languages : en
Pages : 596

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Book Description
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.

A First Course in Real Analysis

A First Course in Real Analysis PDF Author: M.H. Protter
Publisher: Springer Science & Business Media
ISBN: 1461599903
Category : Mathematics
Languages : en
Pages : 520

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Book Description
The first course in analysis which follows elementary calculus is a critical one for students who are seriously interested in mathematics. Traditional advanced calculus was precisely what its name indicates-a course with topics in calculus emphasizing problem solving rather than theory. As a result students were often given a misleading impression of what mathematics is all about; on the other hand the current approach, with its emphasis on theory, gives the student insight in the fundamentals of analysis. In A First Course in Real Analysis we present a theoretical basis of analysis which is suitable for students who have just completed a course in elementary calculus. Since the sixteen chapters contain more than enough analysis for a one year course, the instructor teaching a one or two quarter or a one semester junior level course should easily find those topics which he or she thinks students should have. The first Chapter, on the real number system, serves two purposes. Because most students entering this course have had no experience in devising proofs of theorems, it provides an opportunity to develop facility in theorem proving. Although the elementary processes of numbers are familiar to most students, greater understanding of these processes is acquired by those who work the problems in Chapter 1. As a second purpose, we provide, for those instructors who wish to give a comprehen sive course in analysis, a fairly complete treatment of the real number system including a section on mathematical induction.

A Brief History of Numbers

A Brief History of Numbers PDF Author: Leo Corry
Publisher: OUP Oxford
ISBN: 0191007072
Category : Mathematics
Languages : en
Pages : 324

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Book Description
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.

Head First Algebra

Head First Algebra PDF Author: Tracey Pilone
Publisher: "O'Reilly Media, Inc."
ISBN: 0596514867
Category : Computers
Languages : en
Pages : 559

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Book Description
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.