Lectures on the Philosophy of Mathematics

Lectures on the Philosophy of Mathematics
Author: Joel David Hamkins
Publisher: MIT Press
Total Pages: 350
Release: 2021-03-09
Genre: Mathematics
ISBN: 0262542234

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.

Helping Children Learn Mathematics

Helping Children Learn Mathematics
Author: National Research Council
Publisher: National Academies Press
Total Pages: 53
Release: 2002-07-31
Genre: Education
ISBN: 0309131987

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.

Cell Biology by the Numbers

Cell Biology by the Numbers
Author: Ron Milo
Publisher: Garland Science
Total Pages: 399
Release: 2015-12-07
Genre: Science
ISBN: 1317230698

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

Know Your Chances

Know Your Chances
Author: Steven Woloshin
Publisher: Univ of California Press
Total Pages: 154
Release: 2008-11-30
Genre: Family & Relationships
ISBN: 0520252225

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?

What Is a Quantum Field Theory?

What Is a Quantum Field Theory?
Author: Michel Talagrand
Publisher: Cambridge University Press
Total Pages: 759
Release: 2022-03-17
Genre: Science
ISBN: 1316510271

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

What is Mathematics?

What is Mathematics?
Author: Richard Courant
Publisher:
Total Pages: 596
Release: 1996
Genre: Juvenile Nonfiction
ISBN: 9780195105193

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.

What is in a Name?

What is in a Name?
Author: Farhang Zabeeh
Publisher: Springer
Total Pages: 84
Release: 2012-12-06
Genre: Computers
ISBN: 9401510946

Immigration Matters

Immigration Matters
Author: Ruth Milkman
Publisher: The New Press
Total Pages: 322
Release: 2021-04-27
Genre: Political Science
ISBN: 1620976587

A provocative, strategic plan for a humane immigration system from the nation’s leading immigration scholars and activists During the past decade, right-wing nativists have stoked popular hostility to the nation’s foreign-born population, forcing the immigrant rights movement into a defensive posture. In the Trump years, preoccupied with crisis upon crisis, advocates had few opportunities to consider questions of long-term policy or future strategy. Now is the time for a reset. Immigration Matters offers a new, actionable vision for immigration policy. It brings together key movement leaders and academics to share cutting-edge approaches to the urgent issues facing the immigrant community, along with fresh solutions to vexing questions of so-called “future flows” that have bedeviled policy makers for decades. The book also explores the contributions of immigrants to the nation’s identity, its economy, and progressive movements for social change. Immigration Matters delves into a variety of topics including new ways to frame immigration issues, fresh thinking on key aspects of policy, challenges of integration, workers’ rights, family reunification, legalization, paths to citizenship, and humane enforcement. The perfect handbook for immigration activists, scholars, policy makers, and anyone who cares about one of the most contentious issues of our age, Immigration Matters makes accessible an immigration policy that both remediates the harm done to immigrant workers and communities under Trump and advances a bold new vision for the future.

Head First Algebra

Head First Algebra
Author: Tracey Pilone
Publisher: "O'Reilly Media, Inc."
Total Pages: 559
Release: 2009
Genre: Computers
ISBN: 0596514867

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.

A Brief History of Numbers

A Brief History of Numbers
Author: Leo Corry
Publisher: OUP Oxford
Total Pages: 324
Release: 2015-08-27
Genre: Mathematics
ISBN: 0191007072

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.