New Books in Mathematics

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 an urgent account of what is at stake as technology companies use artificial intelligence to reshape the world. Matthew Jordan is a university instructor, funk musician, and clear writing enthusiast. He studies the history of science and technology, driven by the belief that we must understand the past in order to improve the future. Learn more about your ad choices. Visit megaphone.fm/adchoicesSupport our show by becoming a premium member! https://newbooksnetwork.supportingcast.fm/mathematics

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. He also worked at the Donald Bren School of Information and Computer Science at the University of California Irvine and at the Centre de Sociologie de l'Innovation at the École des Mines de Paris. His research interests are the sociology of algorithms, the philosophy of mathematics, and the history of computing. Austin Clyde is a Ph.D. candidate at the University of Chicago Department of Computer Science. He researches artificial intelligence and high-performance computing for developing new scientific methods. He is also a visiting research fellow at the Harvard Kennedy School's Science, Technology, and Society program, where my research addresses the intersection of artificial intelligence, human rights, and democracy. Learn more about your ad choices. Visit megaphone.fm/adchoicesSupport our show by becoming a premium member! https://newbooksnetwork.supportingcast.fm/mathematics

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 officers, civilian analysts, and policed communities.A major theme of the book is the role of discretion: While data-driven decision-making tools may promise to replace biased human judgment, in practice they can instead displace human judgment—to earlier and less visible steps in the process, exacerbating the problem they are invoked to solve. Conversely, i was also interested in how Dr. Brayne suggests we shift our perspectives on these tools: She proposes to think of a "big data environment" that shapes our social behavior, and she flips the analogy of data as capital to describe a "cumulative disadvantage" that accrues to those with less access to and control over the data collected on them.Dr. Brayne's study has legal and scholarly as well as policy implications, and it will be of interest to anyone interested in the societal role of data or in that of police. I hope that it becomes part of the foundation for urgently needed future work at their intersection.Suggested companion work: Ballad of the Bullet by Forrest Stuart (listen to Stuart's interview with Sarah E. Patterson here)Sarah Brayne is an Assistant Professor of Sociology at The University of Texas at Austin. Prior to joining the faculty at UT-Austin, she was a Postdoctoral Researcher at Microsoft Research. Dr. Brayne is the founder and director of the Texas Prison Education Initiative, a group of faculty and students who volunteer to teach college classes in prisons throughout Texas. Cory Brunson is an Assistant Professor at the Laboratory for Systems Medicine at the University of Florida. His research focuses on geometric and topological approaches to the analysis of medical and healthcare data. Learn more about your ad choices. Visit megaphone.fm/adchoicesSupport our show by becoming a premium member! https://newbooksnetwork.supportingcast.fm/mathematics

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 generation is a knowledge-based process—a sense of humor is blend of wit and wisdom. He notes that existing technologies can detect sarcasm in conversation, and explains how some jokes can be pre-scripted while others are generated algorithmically—all while making the technical aspects of AI accessible for the general reader. Of course, there's no single algorithm or technology that we can plug in to make our virtual assistants or GPS voice navigation funny, but Veale provides a computational roadmap for how we might get there.Galina Limorenko is a doctoral candidate in Neuroscience with a focus on biochemistry and molecular biology of neurodegenerative diseases at EPFL in Switzerland. Learn more about your ad choices. Visit megaphone.fm/adchoicesSupport our show by becoming a premium member! https://newbooksnetwork.supportingcast.fm/mathematics

Aubrey Clayton, author of 'Bernoulli's Fallacy', delves into the logical flaws in statistical methods that threaten modern science. He reveals how misunderstandings of probability have led to the reproducibility crisis across disciplines. Exploring the historical roots from gambling to social sciences, Clayton illustrates how biases shaped statistical practices, particularly eugenics. He advocates for Bayesian approaches, emphasizing the need for improved statistical literacy to navigate uncertainties and enhance decision-making in society.

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, Dr. Cafarella synthesizes several key themes, from the demoralizing impact of high school experiences to the urgent effects of family and work pressures, and indeed students' own attitudes, behaviors, and lifestyles. I was especially struck by the students' diverse responses to the diverse class modalities their colleges offered, and by the extent of personal support these institutions mustered to see the students through bleak periods.The book concludes with several core lessons distilled from the study, most of which came through in some form during our discussion but provide an excellent point of reference for decision-makers—including present and prospective students. I hope that teachers, administrators, and especially policymakers will also be able to put these lessons to good use, and that they will help drive a continuing effort to understand and chart pathways through the barriers students face.Suggested companion works: journal articles on community college mathematics by Zachary Beamer Julie Phelps Peter Barr Paul Nolting Brian Cafarella is a mathematics professor at Sinclair Community College in Dayton, Ohio. He has taught a variety of courses ranging from developmental math through pre-calculus, and he has published articles in several peer-reviewed journals on implementing best practices in developmental math and various math pathways for community college students. Brian is a past recipient of the Roueche Award for teaching excellence, the Ohio Magazine Award for excellence in education, and the Article of the Year Award from the Journal of Developmental Education. Cory Brunson is an Assistant Professor at the Laboratory for Systems Medicine at the University of Florida. His research focuses on geometric and topological approaches to the analysis of medical and healthcare data. Learn more about your ad choices. Visit megaphone.fm/adchoicesSupport our show by becoming a premium member! https://newbooksnetwork.supportingcast.fm/mathematics

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 the hubris of total control. We are now moving into an era where this control is limited as AI monitors our actions, posing the threat of surveillance, but also offering the opportunity to reappropriate control and transform it into care.As we try to adjust to a world in which algorithms, robots and avatars play an ever-increasing role, we need to understand better the limitations of AI and how their predictions affect our agency, while at the same time having the courage to embrace the uncertainty of the future.Galina Limorenko is a doctoral candidate in Neuroscience with a focus on biochemistry and molecular biology of neurodegenerative diseases at EPFL in Switzerland. To discuss and propose the book for an interview you can reach her at galina.limorenko@epfl.ch. Learn more about your ad choices. Visit megaphone.fm/adchoicesSupport our show by becoming a premium member! https://newbooksnetwork.supportingcast.fm/mathematics

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. Huckle joined me to discuss his and his coauthor's motivations for assembling the book, a sampler of the chapter headliners, and some of his thoughts on new and evolving computational tools with their own attendant opportunities for failure.Technical readers will appreciate the mathematical excursions that rigorously introduce topics essential to understanding each chapter's headlining episodes, the exercises and MATLAB code provided at the book's website, and links to sources at Dr. Huckle's website. I found value in the recurring lesson that real-world failures arise from the coincidence of multiple, often multitudinous errors, as well as in the authors' consistent emphasis on the real human toll that the study of these errors is driven to prevent. That said, all readers may appreciate the fanciful taxonomy given in the introduction and the amusing (though sometimes apocryphal) idiosyncratic failures surveyed in the appendix.Suggested companion works: Peter G. Neumann, Illustrative Risks to the Public in the Use of Computer Systems and Related Technology Nancy G. Leveson, Safeware: System Safety and Computers Glenford J. Myers, Software Reliability: Principles and Practices Lauren Ruth Wiener, Digital Woes: Why We Should Not Depend On Software Ivars Peterson, Fatal Defect: Chasing Killer Computer Bugs Thomas Huckle completed a degree program in mathematics and physics education and in pure mathematics, received a doctorate in 1985, and acquired his postdoctoral teaching qualification (habiliation) in 1991 at the University of Würzburg. A German research Foundation (DFG) grant enabled him to spend time performing research at Stanford University (1993–1994). In 1995 Professor Huckle joined TUM as professor of scientific computing. He has also been a member of the Mathematics Faculty since 1997. His primary research area is numerical linear algebra and its application in fields such as informatics and physics. His work focuses on solving linear problems on parallel computers, image processing and reconstruction, partial differential equations, and structured matrices.Tobias Neckel has studied applied mathematics at the Technical University of Munich (TUM) and received a doctorate in Computer Science at TUM in 2009. He is currently senior researcher in scientific computing at TUM and has conducted research at the École Polytechnique, France (2003), the Tokyo Institute of Technology (2008), and the Australian National University (2017). His research interests include the numerical solution of differential equations, hierarchic and adaptive methods, uncertainty quantification, and various aspects of high-performance computing. Cory Brunson is an Assistant Professor at the Laboratory for Systems Medicine at the University of Florida. His research focuses on geometric and topological approaches to the analysis of medical and healthcare data. Learn more about your ad choices. Visit megaphone.fm/adchoicesSupport our show by becoming a premium member! https://newbooksnetwork.supportingcast.fm/mathematics

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 vast range of material, helping readers discover the universal principles behind the music they find meaningful.Written for musicians and music lovers with any level of science and math proficiency, including none, Music, Math, and Mind: The Physics and Neuroscience of Music (Columbia UP, 2021) demystifies how music works while testifying to its beauty and wonder.Galina Limorenko is a doctoral candidate in Neuroscience with a focus on biochemistry and molecular biology of neurodegenerative diseases at EPFL in Switzerland. To discuss and propose the book for an interview you can reach her at galina.limorenko@epfl.ch. Learn more about your ad choices. Visit megaphone.fm/adchoicesSupport our show by becoming a premium member! https://newbooksnetwork.supportingcast.fm/mathematics

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 cultural norms and institutions (including the influence of David X. Li's Gaussian copula on the behavior of financial markets), and on relations between mathematics professionals and the lay public. This last part contains a chapter on the legacy of the National Council of Teachers of Mathematics that highlights the importance to mathematics professionals of understanding the rhetorical dimensions of our discipline.Bookending our discussion, Drs. Wynn and Reyes related the story of their edited collection, which makes the point that a cross-disciplinary exchange is needed to help both disciplines better understand their connections to each other and more responsibly manage those connections. Their suggestions will resonate with mathematicians interested in challenging narratives of objectivity, in diversifying our ranks, and in developing responsible rules and principles for the use of social and personal data. The analytical tools demonstrated in this book abet this effort.Suggested companion works: Trust in Numbers, Theodore Porter Meeting the Universe Halfway, Karen Barad James Wynn is Associate Professor of English at Carnegie Mellon University. He is the author of Citizen Science in the Digital Age: Rhetoric, Science, and Public Engagement and Evolution by the Numbers: The Origins of Mathematical Argument in Biology.G. Mitchell Reyes is Professor of Rhetoric and Media Studies at Lewis and Clark College. He is author of Stranger Relations: Mathematics, Rhetoric, and the Translative Force of Mathematical Discourse (in press with Penn State University Press) and coeditor of Global Memoryscapes: Contesting Remembrance in a Transnational Age. Cory Brunson is an Assistant Professor at the Laboratory for Systems Medicine at the University of Florida. His research focuses on geometric and topological approaches to the analysis of medical and healthcare data. Learn more about your ad choices. Visit megaphone.fm/adchoicesSupport our show by becoming a premium member! https://newbooksnetwork.supportingcast.fm/mathematics