New Books in Mathematics Podcast Por Marshall Poe capa

New Books in Mathematics

New Books in Mathematics

De: Marshall Poe
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 Interviews with Mathematicians about their New Books Support our show by becoming a premium member! https://newbooksnetwork.supportingcast.fm/mathematicsNew Books Network Ciências
Episódios
  • David Bressoud, "Calculus Reordered: A History of the Big Ideas" (Princeton UP, 2019)

    David Bressoud, "Calculus Reordered: A History of the Big Ideas" (Princeton UP, 2019)
    Oct 19 2025
    Calculus Reordered: A History of the Big Ideas (Princeton UP, 2019) takes readers on a remarkable journey through hundreds of years to tell the story of how calculus evolved into the subject we know today. David Bressoud explains why calculus is credited to seventeenth-century figures Isaac Newton and Gottfried Leibniz, and how its current structure is based on developments that arose in the nineteenth century. Bressoud argues that a pedagogy informed by the historical development of calculus represents a sounder way for students to learn this fascinating area of mathematics. Delving into calculus’s birth in the Hellenistic Eastern Mediterranean—particularly in Syracuse, Sicily and Alexandria, Egypt—as well as India and the Islamic Middle East, Bressoud considers how calculus developed in response to essential questions emerging from engineering and astronomy. He looks at how Newton and Leibniz built their work on a flurry of activity that occurred throughout Europe, and how Italian philosophers such as Galileo Galilei played a particularly important role. In describing calculus’s evolution, Bressoud reveals problems with the standard ordering of its curriculum: limits, differentiation, integration, and series. He contends that the historical order—integration as accumulation, then differentiation as ratios of change, series as sequences of partial sums, and finally limits as they arise from the algebra of inequalities—makes more sense in the classroom environment. Exploring the motivations behind calculus’s discovery, Calculus Reordered highlights how this essential tool of mathematics came to be. David M. Bressoud is DeWitt Wallace Professor of Mathematics at Macalester College and Director of the Conference Board of the Mathematical Sciences. His many books include Second Year Calculus and A Radical Approach to Lebesgue’s Theory of Integration. He lives in St. Paul, Minnesota. Mark Molloy is the reviews editor at MAKE: A Literary Magazine. Learn more about your ad choices. Visit megaphone.fm/adchoices Support our show by becoming a premium member! https://newbooksnetwork.supportingcast.fm/mathematics
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    1 hora e 27 minutos
  • Chris Dalla Riva, "Uncharted Territory: What Numbers Tell Us about the Biggest Hit Songs and Ourselves" (Bloomsbury, 2025)

    Chris Dalla Riva, "Uncharted Territory: What Numbers Tell Us about the Biggest Hit Songs and Ourselves" (Bloomsbury, 2025)
    Oct 11 2025
    Popular music history collides with data analytics, charts, and numbers in this insightful and surprising look at the greatest hits and musicians, fads, forgotten artists, and much more. Data analyst and musician Chris Dalla Riva reframes everything you thought you knew about music. Did you know that hit songs in the late 1950s were regularly about gruesome death? That a US vice president wrote a number one hit? That while TikTok has spawned countless hits, it's made artists more anonymous than ever before? That pop songs have shaped race relations in the United States? That the key change died around 2003? And that's just the beginning. Coupling hard data with engaging anecdotes, Uncharted Territory: What Numbers Tell Us about the Biggest Hit Songs and Ourselves (Bloomsbury, 2025) is both a takedown and celebration of popular music and provides new ways to think about your favorite songs, genres, and artists from the last 6 decades using unexpected statistics and playful visualizations. This entertaining history is filled with the most popular musicians of all time from The Beatles and The Bee Gees to Michael Jackson, Mariah Carey, and beyond. Whether you danced the twist or the dougie at your senior prom, you're sure to never listen to music again in the same way. Chris Dalla Riva lives at the intersection of music and data. Playing in bands and recording music since his teenage years, Dalla Riva is currently a Senior Product Manager at Audiomack where he focuses on data analytics and personalization. Gregory McNiff is a Managing Director in the New York office of the Blueshirt Group, an IR firm focused on technology. Greg holds an MBA from the University of Chicago Booth School of Business, an M. Litt. in Shakespeare Studies from the University of St. Andrews and a B.A. in Classical Languages from Columbia University. Learn more about your ad choices. Visit megaphone.fm/adchoices Support our show by becoming a premium member! https://newbooksnetwork.supportingcast.fm/mathematics
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    1 hora e 10 minutos
  • Allen B. Downey, "Probably Overthinking It: How to Use Data to Answer Questions, Avoid Statistical Traps, and Make Better Decisions" (U Chicago Press, 2023)

    Allen B. Downey, "Probably Overthinking It: How to Use Data to Answer Questions, Avoid Statistical Traps, and Make Better Decisions" (U Chicago Press, 2023)
    Oct 10 2025
    Statistics are everywhere: in news reports, at the doctor's office, and in every sort of forecast, from the stock market to the weather. Blogger, teacher, and computer scientist Allen B. Downey knows well that people have an innate ability both to understand statistics and to be fooled by them. As he makes clear in this accessible introduction to statistical thinking, the stakes are big. Simple misunderstandings have led to incorrect medical prognoses, underestimated the likelihood of large earthquakes, hindered social justice efforts, and resulted in dubious policy decisions. There are right and wrong ways to look at numbers, and Downey will help you see which are which. Probably Overthinking It: How to Use Data to Answer Questions, Avoid Statistical Traps, and Make Better Decisions (University of Chicago Press, 2023) uses real data to delve into real examples with real consequences, drawing on cases from health campaigns, political movements, chess rankings, and more. He lays out common pitfalls--like the base rate fallacy, length-biased sampling, and Simpson's paradox--and shines a light on what we learn when we interpret data correctly, and what goes wrong when we don't. Using data visualizations instead of equations, he builds understanding from the basics to help you recognize errors, whether in your own thinking or in media reports. Even if you have never studied statistics--or if you have and forgot everything you learned--this book will offer new insight into the methods and measurements that help us understand the world. Allen B. Downey is a curriculum designer at the online learning company Brilliant and professor emeritus of computer science at Olin College. Gregory McNiff is a Managing Director in the New York office of the Blueshirt Group, an IR firm focused on technology. Greg holds an MBA from the University of Chicago Booth School of Business, an M. Litt. in Shakespeare Studies from the University of St. Andrews and a B.A. in Classical Languages from Columbia University. Learn more about your ad choices. Visit megaphone.fm/adchoices Support our show by becoming a premium member! https://newbooksnetwork.supportingcast.fm/mathematics
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    1 hora e 3 minutos
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