A celebration of the seemingly simple idea that allowed us to imagine the world in new dimensions--sparking both controversy and discovery.

The stars of this book, vectors and tensors, are unlikely celebrities. If you ever took a physics course, the word "vector" might remind you of the mathematics needed to determine forces on an amusement park ride, a turbine, or a projectile. You might also remember that a vector is a quantity that has magnitude and (this is the key) direction. In fact, vectors are examples of tensors, which can represent even more data. It sounds simple enough--and yet, as award-winning science writer Robyn Arianrhod shows in this riveting story, the idea of a single symbol expressing more than one thing at once was millennia in the making. And without that idea, we wouldn't have such a deep understanding of our world.

Vector and tensor calculus offers an elegant language for expressing the way things behave in space and time, and Arianrhod shows how this enabled physicists and mathematicians to think in a brand-new way. These include James Clerk Maxwell when he ushered in the wireless electromagnetic age; Einstein when he predicted the curving of space-time and the existence of gravitational waves; Paul Dirac, when he created quantum field theory; and Emmy Noether, when she connected mathematical symmetry and the conservation of energy. For it turned out that it's not just physical quantities and dimensions that vectors and tensors can represent, but other dimensions and other kinds of information, too. This is why physicists and mathematicians can speak of four-dimensional space-time and other higher-dimensional "spaces," and why you're likely relying on vectors or tensors whenever you use digital applications such as search engines, GPS, or your mobile phone.

In exploring the evolution of vectors and tensors--and introducing the fascinating people who gave them to us--Arianrhod takes readers on an extraordinary, five-thousand-year journey through the human imagination. She shows the genius required to reimagine the world--and how a clever mathematical construct can dramatically change discovery's direction.

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Einstein's Fridge: How the Difference Between Hot and Cold Explains the Universe (Scribner, 2021) tells the incredible epic story of the scientists who, over two centuries, harnessed the power of heat and ice and formulated a theory essential to comprehending our universe. “Although thermodynamics has been studied for hundreds of years…few nonscientists appreciate how its principles have shaped the modern world” (Scientific American). Thermodynamics—the branch of physics that deals with energy and entropy—governs everything from the behavior of living cells to the black hole at the center of our galaxy. Not only that, but thermodynamics explains why we must eat and breathe, how lights turn on, the limits of computing, and how the universe will end.
The brilliant people who decoded its laws came from every branch of the sciences; they were engineers, physicists, chemists, biologists, cosmologists, and mathematicians. From French military engineer and physicist Sadi Carnot to Lord Kelvin, James Joule, Albert Einstein, Emmy Noether, Alan Turing, and Stephen Hawking, author Paul Sen introduces us to all of the players who passed the baton of scientific progress through time and across nations. Incredibly driven and idealistic, these brave pioneers performed groundbreaking work often in the face of torment and tragedy. Their discoveries helped create the modern world and transformed every branch of science, from biology to cosmology.
“Elegantly written and engaging” (Financial Times), Einstein’s Fridge brings to life one of the most important scientific revolutions of all time and captures the thrill of discovery and the power of scientific progress to shape the course of history.

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Why is the universe the way it is? Wherever we look, we find ordered structures: from stars to planets to living cells. Molecular Storms: The Physics of Stars, Cells and the Origin of Life (Springer Nature, 2023) shows that the same driving force is behind structure everywhere: the incessant random motion of the components of matter. Physicists call it thermal noise. Let's call it the molecular storm.

This storm drives the fusion reactions that make stars shine. It drives whirlpools and currents in atmospheres and oceans. It spins and distorts molecules until they are in the right orientation to react and form new substances. In living cells, it drives proteins to fold and molecules to self-assemble. It is behind every detail of the astonishing molecular machines that control cellular processes.

Using cutting-edge research, "Molecular Storms" takes us on a dazzling journey from the early universe to the interior of the smallest living things. There, in a nanoscale world of biological devices, it explains the physics behind the chemical system which we call Life.

Whether you're someone with a general interest in science or a student looking to add context to your studies, this book is for you. "Molecular Storms" is an accessible and captivating read that will deepen your appreciation of the power of science to explain the world.

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This is the shocking true-life story of how PFAS—a set of toxic chemicals most people have never heard of—poisoned the entire country. Based on original, shoe-leather reporting in four highly contaminated towns and damning documents from the polluters’ own files, Poisoning the Well: How Forever Chemicals Contaminated America (Island Press, 2025) traces an ugly history of corporate greed and devastation of human lives.

We learn that PFAS, the ‘forever chemicals’ found in everyday products, from cooking pans to mascara, are coursing through the veins of 97% of Americans. We witness the pain of families who lost sisters and daughters, cousins and neighbors, after PFAS leached into their drinking water. We discover evidence that the makers of forever chemicals may have known for decades about the deadly risks of their products—because their own scientists have been documenting these dangers since the 1960s. And we see the failure of our government, time after time, to provide basic protections to its citizens.

It is impossible to read this searing exposé without being infuriated by the recklessness of corporate America. But readers will also be awed by the spirit of ordinary people who, while fighting for their own lives, took it upon themselves to fix a broken regulatory system. Heart-wrenching and maddening, stirring and uplifting, Poisoning the Well offers a unique window into the worst and best of human nature. It is essential reading for anyone concerned about the unfettered power of industry and the invisible threat it poses to the health of the nation—and to each of us.

Sharon Udasin is a reporter for The Hill, covering U.S. West climate & policy from her home base in Boulder, Colorado. She was a Ted Scripps Fellow in Environmental Journalism at the University of Colorado Boulder and has also reported for The Jerusalem Post and The New York Jewish Week. A graduate of both the University of Pennsylvania and Columbia Journalism School, Sharon also received a 2022 SEAL Environmental Journalism Award and was honored by the Heschel Center for Environmental Learning and Leadership in 2013.

Rachel Frazin covers energy and environment policy for The Hill: that’s everything from climate change to gasoline prices to toxic chemicals to renewable and fossil energy. It was through this work that she learned about, and became alarmed by, "forever chemicals." She is originally from South Florida, and she studied journalism and political science at (the very cold) Northwestern University. Previously, her work has appeared in the Chicago Sun-Times, The Daily Beast, the Tampa Bay Times, and The Palm Beach Post.

Daniel Moran’s writing about literature and film can be found on Pages and Frames. He earned his B.A. and M.A. in English from Rutgers University and his Ph.D. in History from Drew University. The author of Creating Flannery O’Connor: Her Critics, Her Publishers, Her Readers, he teaches research and writing at Rutgers and co-hosts the long-running podcast Fifteen-Minute Film Fanatics, found here on the New Books Network.

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Back in 2021, John and Elizabeth sat down with Brandeis string theorist Albion Lawrence to discuss cooperation versus solitary study across disciplines. They sink their teeth into the question, “Why do scientists seem to do collaboration and teamwork better than other kinds of scholars and academics?”

The conversation ranges from the merits of collective biography to the influence of place and geographic location in scientific collaboration to mountaineering traditions in the sciences. As a Recallable Book, Elizabeth champions The People of Puerto Rico, an experiment in ethnography of a nation (in this case under colonial rule) from 1956, including a chapter by Robert Manners, founding chair of the Brandeis Department of Anthropology. Albion sings the praises of a collective biography of the Art Ensemble of Chicago, A Message to Our Folks. But John stays true to his Victorianist roots by praising the contrasting images of the withered humanist Casaubon and the dashing young scientist Lydgate in George Eliot’s own take on collective biography, Middlemarch.

Discussed in this episode:

Listen to and Read the episode here.

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Models of the Mind: How Physics, Engineering and Mathematics Have Shaped Our Understanding of the Brain (Bloomsbury, 2021) provides a multifaceted and approachable introduction to theoretical neuroscience. It discusses some major topics of the field, including both the milestones from their history and the currently open questions.

It's accessible for a general audience, not expecting any previous knowledge of neuroscience or maths. At the same time, neuroscientists have described it as impressive. According to Gaute Einevoll, professor of brain physics, "this is a book that belongs on the bookshelf of any computational neuroscientist and lots of other people".

In our conversation, we covered some of the overarching themes of the book. The constant push and pull between mathematics and biology: mathematical models simplifying complex phenomena and biology pointing out the importance of a specific detail. What efficiency means for a biological system, like the brain. Whether and how much we can assume that an evolved system is efficient.

Dr. Grace Lindsay also talked about how science communication has helped her explore and discuss topics not directly related to her research. She started blogging and podcasting during her PhD, which has led to further writing opportunities, including this popular science book.

Similar to Models of the Mind, the Lindsay Lab is multidisciplinary: It uses artificial neural networks for psychology, neuroscience, and climate change. In the interview, Dr. Grace Lindsay talked about her decision about the lab's profile She explains the overlap in technologies used for studying visual systems and satellite images. We also hear about examples of how scientists in various fields have taken on research topics related to climate change.

Links: 

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When he was six years old, Roger Penrose discovered a sundial in a clearing near his house. Through that machine made of light, shadow, and time, Roger glimpsed a “world behind the world” of transcendently beautiful geometry. It spurred him on a journey to become one of the world’s most influential mathematicians, philosophers, and physicists.

Penrose would prove the limitations of general relativity, set a new agenda for theoretical physics, and astound colleagues and admirers with the elegance and beauty of his discoveries. However, as Patchen Barss documents in The Impossible Man: Roger Penrose and the Cost of Genius (Basic Books, 2024), success came at a price: He was attuned to the secrets of the universe, but struggled to connect with loved ones, especially the women who care for or worked with him.

Both erudite and poetic, The Impossible Man draws on years of research and interviews, as well as previously unopened archives to present a moving portrait of Penrose the Nobel Prize-winning scientist and Roger the human being. It reveals not just the extraordinary life of Roger Penrose, but asks who gets to be a genius, and who makes the sacrifices that allow one man to be one.

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Our universe might appear chaotic, but deep down it's simply a myriad of rules working independently to create patterns of action, force, and consequence. In Ten Patterns That Explain the Universe (MIT Press, 2021), Brian Clegg explores the phenomena that make up the very fabric of our world by examining ten essential sequenced systems. From diagrams that show the deep relationships between space and time to the quantum behaviors that rule the way that matter and light interact, Clegg shows how these patterns provide a unique view of the physical world and its fundamental workings.

Guiding readers on a tour of our world and the universe beyond, Clegg describes the cosmic microwave background, sometimes called the "echo of the big bang," and how it offers clues to the universe's beginnings; the diagrams that illustrate Einstein's revelation of the intertwined nature of space and time; the particle trail patterns revealed by the Large Hadron Collider and other accelerators; and the simple-looking patterns that predict quantum behavior (and decorated Richard Feynman's van). Clegg explains how the periodic table reflects the underlying pattern of the configuration of atoms, discusses the power of the number line, demonstrates the explanatory uses of tree diagrams, and more.

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 [email protected].

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Einstein’s Dreams (Vintage, 1992) by Alan Lightman, set in Albert Einstein’s “miracle year” of 1905, is a novel about the cultural interconnection of time, relativity and life. As the young genius creates his theory of relativity, in a series of dreams, he imagines other worlds, each with a different conceptualization of time. In one, time is circular, and people are destined to repeat triumphs and failures over and over. In another, time stands still. In yet another, time is a nightingale, trapped by a bell jar.

Translated into over thirty languages, Einstein’s Dreams has inspired playwrights, dancers, musicians and artists around the world. In poetic vignettes, Alan Lightman explores the connections between science and art, creativity and the rhythms of life, and ultimately the fragility of human existence.

This conversation includes Alan Lightman (MIT), Jeffrey Herlihy-Mera and Annette Martínez-Iñesta, of the Departamento de Humanidades at the Universidad de Puerto Rico-Mayagüez (UPRM), and Joshua Chaparro Mata, a UPRM graduate and doctoral student in Applied Physics at Yale. They discuss dreaming as a scientific and creative resource; the importance of Berne, Switzerland, in the thought of Einstein and Lightman; Lightman’s precise and harmonious poetics; the role of technology in contemporary life; and the course Lightman’s life, experiences and creative process.

This is the second of two episodes about Einstein’s Dreams. The first, in Spanish, appeared on the New Books Network en español. The series is sponsored by the Lenguaje focal group at Instituto Nuevos Horizontes at UPRM, a group of scholars who consider how translanguaging ​​can provide unique dimensions to knowledge. 

This episode and the Instituto Nuevos Horizontes at the UPRM have been supported by the Mellon Foundation. The conversation is part of the “STEM to STEAM” project of the “Cornerstone” initiative, sponsored by the Teagle Foundation, which stresses the importance of integrating humanistic perspectives in the sciences.

Books, scholars, articles and podcasts mentioned in this conversation include:

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On the surface of the Sun, spots appear and fade in a predictable cycle, like a great clock in the sky. In medieval Russia, China, and Korea, monks and court astronomers recorded the appearance of these dark shapes, interpreting them as omens of things to come. In Western Europe, by contrast, where a cosmology originating with Aristotle prevailed, the Sun was regarded as part of the unchanging celestial realm, and it took observations through telescopes by Galileo and others to establish the reality of solar imperfections. In the nineteenth century, amateur astronomers discovered that sunspots ebb and flow about every eleven years—spurring speculation about their influence on the weather and even the stock market.

Exploring these and many other crucial developments, Pierre Sokolsky provides a history of knowledge of the Sun through the lens of sunspots and the solar cycle. He ranges widely across cultures and throughout history, from the earliest recorded observations of sunspots in Chinese annals to satellites orbiting the Sun today, and from worship of the Sun as a deity in ancient times to present-day scientific understandings of stars and their magnetic fields. Considering how various thinkers sought to solve the puzzle of sunspots, Sokolsky sheds new light on key discoveries and the people who made them, as well as their historical and cultural contexts. Fast-paced, comprehensive, and learned, Clock in the Sun: How We Came to Understand Our Nearest Star (Columbia UP, 2024) shows readers our closest star from many new angles.

Garima Garg is a New Delhi based journalist and author.

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