検索キーワード： 数学

Shoulders of Giants is a narrative history of how mathematics revealed the hidden forces shaping the modern world. From the geometry of ancient Greece to the emergence of electromagnetic theory, this audiobook follows the thinkers who transformed abstract symbols into practical tools — ideas that eventually carried signals, voices, and energy across continents. Along the way appear vivid portraits of mathematicians and physicists grappling with space, motion, light, and invisible fields, driven as much by obsession and rivalry as by curiosity.

पृथ्वीबाहेर जीवसृष्टी खरोखर आहे का, एलियन्स खरोखर असतात का, उडत्या तबकड्यांचे रहस्य काय, मंगळावर पाणी आहे तर...

Mathematics has long been regarded as the purest expression of truth — a language through which the universe reveals itself. Yet behind every equation stands the human mind that created it. In this book, Boris Krieger follows the path of mathematics from its simplest intuitions to its highest abstractions, asking what it truly reveals — about reality, and about ourselves. Through lucid reflection and critical insight, he shows that geometry, algebra, topology, and probability are not independent worlds but translations of human perception into structure.

A vibrant account of how measurement has invisibly shaped our world, from ancient civilizations to the modern day.

Aubrey Clayton traces the history of how statistics went astray, beginning with the groundbreaking work of the 17th-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.

A celebrated mathematician explores how math helps us make sense of the unpredictable We would like to believe we can know things for certain. We want to be able to figure out who will win an election, if the stock market will crash, or if a suspect definitely committed a crime. But the odds are...

In concise, immediate prose, Italian physicist and novelist Paolo Giordano explains how disease spreads in our interconnected world: why it matters, how it impacts us, how we must react. Writing from his home in Rome as Italy implements the largest peace-time lockdown ever recorded in a democratic country, Giordano expands his focus to other forms of contagion linked to this epidemic - fake news, the environmental crisis, nationalism and xenophobia, our lack of imagination in promoting a new kind of global community.

When was the last time you read a grand statement, accompanied by a large number and wondered whether it could really be true? Statistics are vital in helping us tell stories - we see them in the papers, on social media and we hear them used in everyday conversation - and yet we doubt them more than ever. But numbers - in the right hands - have the power to change the world for the better. Contrary to popular belief, good statistics are not a trick, although they are a kind of magic.

Why mathematical models are so often wrong, and how we can make better decisions by accepting their limits Whether we are worried about the spread of COVID-19 or making a corporate budget, we depend on mathematical models to help us understand the world around us every day. But models aren’t a...

Alan Turing can be regarded as one of the greatest scientists of the 20th century. But who was Turing, and what did he achieve during his tragically short life of 41 years? Best known as the genius who broke Germany's most secret codes during the war of 1939-45, Turing was also the father of the modern computer. Today, all who 'click-to-open' are familiar with the impact of Turing's ideas. Here, B. Jack Copeland provides an account of Turing's life and work, exploring the key elements of his life-story in tandem with his leading ideas and contributions.

The Freakonomics of math—a math-world superstar unveils the hidden beauty and logic of the world and puts its power in our hands The math we learn in school can seem like a dull set of rules, laid down by the ancients and not to be questioned. In How Not to Be Wrong, Jordan Ellenberg shows us...

A groundbreaking mathematician presents a new model for understanding financial markets. Benoit B. Mandelbrot, one of the century's most influential mathematicians, is world-famous for making mathematical sense of a fact everybody knows but that geometers from Euclid on down had never...

I saggi di questo volume, che toccano la politica, la religione, la letteratura, la filosofia, la matematica e la scienza, sono raccolti in sezioni che si aprono con interviste immaginarie a personaggi del passato (Hitler, Gesù, Dante, Aristotele, Archimede, Newton) e si chiudono con interviste reali a quelli del presente (Chomsky, il Dalai Lama, Saramago, Kripke, Nash e Watson). Nel mezzo, il matematico impertinente dispiega l'arsenale della ragione per argomentare che non è affatto vero che non possiamo non dirci cristiani, o che siamo tutti americani.

Why does mathematics—a creation of the human mind—describe the physical world with such extraordinary precision? Why do equations invented for one purpose turn out, decades or centuries later, to be the perfect language for a completely different realm of nature? In 1960, the Nobel laureate Eugene Wigner called this correspondence a 'gift we neither understand nor deserve.' The question has haunted science ever since. In this book, Boris Kriger proposes an answer that is at once simple and profound: mathematics describes the world because only the mathematically structured survives.

What's the Use? asks why there is such a vast gulf between public perceptions of mathematics and reality. It shows how mathematics is vital, often in surprising ways, behind the scenes of daily life. How politicians pick their voters. How an absurd little puzzle solved 300 years ago leads to efficient methods for kidney transplants. How an Irish mathematician's obsession with a new number system improves special effects in movies and computer games. How SatNav relies on at least six mathematical techniques.

What if the numbers guiding your biggest decisions were never meant for you? From weather forecasts to medical risks, investment advice to AI predictions, probability surrounds modern life—offering the appearance of certainty in an uncertain world. Yet most people don’t realize: probability is a powerful tool, but only under the right conditions. Misapplied, it doesn’t just fail—it misleads. This book reveals the hidden structure behind when probability works, when it doesn’t, and why it so often feels precise but proves personally wrong.

In Gödel’s Shadow: Why No System Can Explain Itself, Boris Kriger explores one of the most unsettling discoveries of modern logic and follows its consequences far beyond mathematics. Beginning with Gödel’s incompleteness theorems, the book traces how any system capable of describing itself inevitably encounters truths it cannot justify from within. What emerges is not a technical puzzle, but a profound philosophical insight into the nature of reason, meaning, and explanation.

What if the "wisdom of the ages" isn't poetry, but fossilized data? In Foundations of Intellectual Substrate Mining, Boris Kriger shatters the boundary between the humanities and hard systems science. He proposes that our cultural heritage—proverbs, maxims, and ancient doctrines—is actually a high-density Intellectual Substrate: a record of formal laws tested by reality over millennia and compressed into "lossy" linguistic forms. Stop interpreting. Start mining.

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Calculus isn’t just math. It’s how we figured out motion, change, curves, and reality itself. In Calculus 101, JJ takes you on a high-speed ride through the history, drama, and logic behind the most powerful tool humans ever invented. From ancient geometry and Zeno’s paradoxes to Newton’s plague-year breakthrough and the equations running Wall Street, this book breaks it all down in plain English with clarity, humor, and momentum.