New Books In Mathematics

What is mathematical music? In Mathematical Music from Antiquity to AI (Routledge, 2022), musicologist Nikita Braguinski discusses how mathematics has historically been used to make music, how it continues to influence musical composition, and the ways in which it may influence music in the future, including through artificial intelligence (AI). From pre-historic sounds to Gregorian chant to jazz to rock and beyond, from Mozart to M.C. Hammer, from the definition of an interval to time signatures to what gives human music its “soul,” Braguinski, a 2019-2020 Harvard University Music Department fellow, takes us on a fascinating journey. David Hamilton Golland is professor of history and immediate past president of the faculty senate at Governors State University in Chicago's southland. @DHGolland. Learn more about your ad choices. Visit megaphone.fm/adchoices Support our show by becoming a premium member! https://newbooksnetwork.supportingcast.fm/mathematics

Games are an established aide in pre-college mathematics education. Meanwhile, innumerable popular books have investigated the mathematics of games. In a new edited volume for the AMS/MAA Classroom Resource Materials Series, topologist and NSF educational program director Mindy Capaldi and contributors join advanced topics with innovative lesson designs in possibly the first book of game-based mathematics education for college curricula. Teaching Mathematics Through Games (MAA Press, 2020) comprises lesson material for the full breadth of coursework taken by math students involving just as diverse and often surprising a breadth of games. I've become interested in how edited collections come about, especially in mathematics, so i took some time at the start to ask Dr. Capaldi about the conception and production of this project. We then discussed a selection of six of the book's seventeen chapters that offer a sense of its scope and a taste of its value. To touch briefly on some chapters we did not discuss: Chr

Listen to this interview of Dashun Wang, Professor at the Kellogg School of Management and McCormick School of Engineering at Northwestern University, and also with Albert-László Barabási, Robert Gray Dodge Professor of Network Science and Distinguished University Professor at Northeastern University. We talk about their new book The Science of Science" (Cambridge UP, 2021) and science, squared. Albert-László Barabási : "There is, of course, the need that you grow professionally. If you're a mathematician, you need to perfect your math. If you're a physicist, you need to do your physics. If you're a biologist, you need to develop your lab techniques. But no matter the magnitude of any discovery you might make, it's not impactful unless you can actually communicate it. And I think that this is where science lacks significantly. I would even go so far as to say, there is a counter-selection: People who are not necessarily the best communicators tend to prefer science because there's the impression that that is

Listen to this interview of Hilary Glasman-Deal, teacher of STEMM communication at the Centre for Academic English, Imperial College London, and author ofScience Research Writing For Native and Non-Native Speakers of English (World Scientific Publishing Europe, 2020). We talk about researching, reading, and writing. Hilary Glasman-Deal : "One of the things I'm very often saying, particularly with early-career researchers, is this: 'Look, your reading is clearly effective, because you understand your field, okay, and you're an expert in your field. But your writing is operating at a different location from your reading. And what you need to be doing is bringing the two closer together so that they are, in a sense, a mirror image of each other, so that you're using your reading to feed your writing. You're using the reading as a bridge into the writing, rather than assuming that the two can exist in separate orbits.'" Visit the Centre for Academic English here. Watch Daniel edit your science here. Contact Dani

In A New History of Modern Computing (MIT Press, 2021), Thomas Haigh and Paul Ceruzzi trace changes leading to the computer becoming a ubiquitous technology. Over the past fifty years, the computer has been transformed from a hulking scientific super tool and data processing workhorse, remote from the experiences of ordinary people to a diverse family of devices that billions rely on to play games, shop, stream music, and movies, communicate, and count their steps. A comprehensive reimagining of Ceruzzi's A History of Modern Computing, this new volume uses each chapter to recount one such transformation, describing how a particular community of users and producers remade the computer into something new. Haigh and Ceruzzi ground their accounts of these computing revolutions in the longer and deeper history of computing technology. They begin with the story of the 1945 ENIAC computer, which introduced the vocabulary of "programs" and "programming," and proceed through email, pocket calculators, personal compute

As the US contends with issues of populism and de-democratization, this timely study considers the impacts of digital technologies on the country’s politics and society. In Algorithms and the End of Politics: How Technology Shapes 21st-Century American Life (Bristol University Press, 2021), Dr. Scott Timcke provides a Marxist analysis of the rise of digital media, social networks and technology giants like Amazon, Apple, Facebook and Microsoft. He looks at the impact of these new platforms and technologies on their users who have made them among the most valuable firms in the world. Offering bold new thinking across data politics and digital and economic sociology, this is a powerful demonstration of how algorithms have come to shape everyday life and political legitimacy in the US and beyond. Michael O. Johnston, Ph.D. is an Assistant Professor of Sociology at William Penn University. His most recent research, “The Queen and Her Royal Court: A Content Analysis of Doing Gender at a Tulip Queen Pageant,” was p

Nick Enfield’s book, Language vs. Reality: Why Language is Good for Lawyers and Bad for Scientists (MIT Press, 2022), argues that language is primarily for social coordination, not precisely transferring thoughts from one person to another. Drawing on empirical research, Enfield shows that human lexicons the world over are far more coarse-grained than our perceptual faculties. Yet, at the same time, languages vary in the structure and sophistication of their representations. This means that, for instance, how different languages carve up the world influences not only how their speakers talk about the world, but also how they think about it. The book explores a range of linguistic phenomena, from lexical diversity to linguistic framing to the effects of narrative. As a result of understanding how language shapes our understanding of reality, Enfield argues that we can make more informed—and more ethical—decisions about our own language use, as individuals and communities. Malcolm Keating is Assistant Professo

Listen to this interview of Stephen Heard, Professor of Biology at the University of New Brunswick. We talk about his book The Scientist’s Guide to Writing: How to Write More Easily and Effectively Throughout Your Scientific Career, 2nd ed. (Princeton UP, 2022), we talk about writing when it's a verb, we talk about writing when it's a choice, and we talk about writing when it's the science. Stephen Heard : "Especially for early-career scientists there's a risk of their writing entering into a positive feedback loop with the writing as it is in the literature. And really, we do this to them, we professors and instructors. We say, 'Next week, you're going to hand in a lab report. Write out this experiment you did,' and we say, quote, 'and write like the scientific literature,' unquote. Well, that's a horrible thing to tell anyone to do, because unfortunately, much of our literature isn't particularly well written. We love our acronyms, we love really long noun phrases, we love the passive voice, and so on. And

What happens when artificial intelligence saturates political life and depletes the planet? How is AI shaping our understanding of ourselves and our societies? In The Atlas of AI: Power, Politics, and the Planetary Costs of Artificial Intelligence (Yale University Press, 2021), Kate Crawford reveals how this planetary network is fuelling a shift toward undemocratic governance and increased racial, gender, and economic inequality. Drawing on more than a decade of research, award‑winning science, and technology, Crawford reveals how AI is a technology of extraction: from the energy and minerals needed to build and sustain its infrastructure, to the exploited workers behind “automated” services, to the data AI collects from us. Rather than taking a narrow focus on code and algorithms, Crawford offers us a political and a material perspective on what it takes to make artificial intelligence and where it goes wrong. While technical systems present a veneer of objectivity, they are always systems of power. This is

The Constitution of Algorithms: Ground-Truthing, Programming, Formulating (MIT Press, 2021) is a laboratory study that investigates how algorithms come into existence. Algorithms--often associated with the terms big data, machine learning, or artificial intelligence--underlie the technologies we use every day, and disputes over the consequences, actual or potential, of new algorithms arise regularly. In this book, Florian Jaton offers a new way to study computerized methods, providing an account of where algorithms come from and how they are constituted, investigating the practical activities by which algorithms are progressively assembled rather than what they may suggest or require once they are assembled. Florian Jaton is a Postdoctoral Researcher at the STS Lab, a research unit of the Institute of Social Sciences of the University of Lausanne, Switzerland. Florian studied Philosophy, Mathematics, Literature, and Political Sciences before receiving his PhD in Social Sciences at the University of Lausanne.

Police use of advanced data collection and analysis technologies—or, "big data policing"—continues to receive both positive and negative attention through media, activism, and politics. While some high-profile cases illustrate its potential to hasten investigations or even solve previously unsolved crimes, and others showcase risks to individual liberties and vulnerable communities, we know surprisingly little about how and why police departments actually adopt and deploy these tools. Sarah Brayne's new book, Predict and Surveil: Data, Discretion, and the Future of Policing (Oxford UP, 2021) provides the first in-depth study of these questions. Dr. Brayne recorded observations and interviews over a 5-year period of ethnographic fieldwork and follow-up with the LAPD. In the book, she examines the roles of extra- and intra-departmental factors in the uptake of big data tools, their relationship to the practice and culture of policing, and the impacts and reactions they've precipitated among captains, sworn offi

For fans of computers and comedy alike, an accessible and entertaining look into how we can use artificial intelligence to make smart machines funny. Most robots and smart devices are not known for their joke-telling abilities. And yet, as computer scientist Tony Veale explains in Your Wit Is My Command (MIT Press, 2021), machines are not inherently unfunny; they are just programmed that way. By examining the mechanisms of humor and jokes—how jokes actually works—Veale shows that computers can be built with a sense of humor, capable not only of producing a joke but also of appreciating one. Along the way, he explores the humor-generating capacities of fictional robots ranging from B-9 in Lost in Space to TARS in Interstellar, maps out possible scenarios for developing witty robots, and investigates such aspects of humor as puns, sarcasm, and offensiveness. In order for robots to be funny, Veale explains, we need to analyze humor computationally. Using artificial intelligence (AI), Veale shows that joke gener

There is a logical flaw in the statistical methods used across experimental science. This fault is not a minor academic quibble: it underlies a reproducibility crisis now threatening entire disciplines. In an increasingly statistics-reliant society, this same deeply rooted error shapes decisions in medicine, law, and public policy with profound consequences. The foundation of the problem is a misunderstanding of probability and its role in making inferences from observations. Aubrey Clayton traces the history of how statistics went astray, beginning with the groundbreaking work of the seventeenth-century mathematician Jacob Bernoulli and winding through gambling, astronomy, and genetics. Clayton recounts the feuds among rival schools of statistics, exploring the surprisingly human problems that gave rise to the discipline and the all-too-human shortcomings that derailed it. He highlights how influential nineteenth- and twentieth-century figures developed a statistical methodology they claimed was purely objec

Students' success in mathematics at community colleges has been the subject of thorough quantitative research, which has reported poor overall results and described a range of explanations for them. Even as policies, course formats, and the composition of the student population have changed, success rates have remained dishearteningly low. The challenges confronted by community college students in developmental and higher-level math classes are historical, financial, social, and personal. Brian Cafarella's new book, which examines these challenges through the perspectives of the students themselves, is a welcome contribution to the topic. Breaking Barriers: Student Success in Community College Mathematics (CRC Press, 2021) is a qualitative study of the barriers faced, and the paths blazed through them, by more than 20 community college students who required developmental math at the starts of their programs and successfully completed college-level courses. From his interviews and exchanges with these students

Today I talked to Helga Nowotny about her new book In AI We Trust: Power, Illusion and Control of Predictive Algorithms (Polity, 2021). One of the most persistent concerns about the future is whether it will be dominated by the predictive algorithms of AI - and, if so, what this will mean for our behaviour, for our institutions and for what it means to be human. AI changes our experience of time and the future and challenges our identities, yet we are blinded by its efficiency and fail to understand how it affects us. At the heart of our trust in AI lies a paradox: we leverage AI to increase our control over the future and uncertainty, while at the same time the performativity of AI, the power it has to make us act in the ways it predicts, reduces our agency over the future. This happens when we forget that that we humans have created the digital technologies to which we attribute agency. These developments also challenge the narrative of progress, which played such a central role in modernity and is based on

A true understanding of the pervasive role of software in the world demands an awareness of the volume and variety of real-world software failures and their consequences. No more thorough survey of these events may be available than Thomas Huckle and Tobias Neckel's Bits and Bugs: A Scientific and Historical Review of Software Failures in Computational Science (SIAM, 2019). Their book organizing an extensive collection of episodes into eight chapters that expand on an array of flavors of failures, increasing in intricacy from precision and rounding errors to the software–hardware interface and problems that emerge from complexity. As I see it, this book serves three audiences: Instructors of computer engineering or numerical methods will find an educational text uniquely suited to a focus on software failures; software engineers will find an equally unique reference text; and students of the practice or the history of computational science will find a fully blazed trail through these complicated stories. Dr.

Why does a clarinet play at lower pitches than a flute? What does it mean for sounds to be in or out of tune? How are emotions carried by music? Do other animals perceive sound like we do? How might a musician use math to come up with new ideas? This book offers a lively exploration of the mathematics, physics, and neuroscience that underlie music in a way that readers without scientific background can follow. David Sulzer, also known in the musical world as Dave Soldier, explains why the perception of music encompasses the physics of sound, the functions of the ear and deep-brain auditory pathways, and the physiology of emotion. He delves into topics such as the math by which musical scales, rhythms, tuning, and harmonies are derived, from the days of Pythagoras to technological manipulation of sound waves. Sulzer ranges from styles from around the world to canonical composers to hip-hop, the history of experimental music, and animal sound by songbirds, cetaceans, bats, and insects. He makes accessible a vas

One pervasive stereotype about mathematics is that it is objective, unbiased, or otherwise exempt from the influence of human passions. James Wynn and G. Mitchell Reyes's edited collection will be a revelation even to mathematics professionals who don't take this strict view. The essays in Arguing with Numbers: The Intersections of Rhetoric and Mathematics (The Pennsylvania State UP, 2021) explore the interplays between rhetoric and mathematics that have shaped scholarly and popular culture through to the present day. Opening the collection are both an historical sketch of scholarship at the intersection of these disciplines, from their division in ancient Greece to their hesitant reunion since the mid-twentieth century, and also a taxonomy of modern research into three distinct approaches, which we review in our discussion. The remaining essays use these approaches to probe the impact of mathematical rhetoric on the sciences (including Hantaro Nakaoka's analogical "Saturnian" model of atomic spectra), on cul

The Joy of Mathematics is based on an in-depth filmed conversation between Howard Burton and Ian Stewart, Emeritus Professor of Mathematics at the University of Warwick and bestselling science and science fiction writer. For Ian Stewart, mathematics is far more than dreary arithmetic, while mathematical thinking is one of the most important—and overlooked—aspects of contemporary society. This wide-ranging conversation explores what mathematics is and why it’s worth doing, symmetry, networks and patterns, the relationship between logic and proof, the role of beauty in mathematical thinking, the future of mathematics, linking mathematical oscillations to animal gaits, how to deal with the peculiarities of the mathematical community, and much more. Howard Burton is the founder of the Ideas Roadshow, Ideas on Film and host of the Ideas Roadshow Podcast. He can be reached at howard@ideasroadshow.com. Learn more about your ad choices. Visit megaphone.fm/adchoices Support our show by becoming a premium member! https

Students and their families face a consequential choice in whether to pursue a degree, and in what area. For those considering mathematics programs, the choice may be particularly fraught: A gulf separates the exploratory and experimental mathematics done by professionals from the computational training of most secondary schools, and this can obscure the meanings of program options. Meanwhile, cultural anxieties and stereotypes can dissuade students who would flourish in mathematical careers. This despite mathematical professionals being among the most satisfied and well-compensated in their careers. In Why Study Mathematics? (2020), Vicky Neale provides a compact guide to this juncture, which i expect students and their families and teachers will find hugely valuable. As part of the London Publishing Partnership's "Why Study" series, her book in Part I explores in detail the substance and varieties of math degrees, how students can shape them to their needs and interests, and what those who complete them go