Mathematics Philosophy

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.

Max Tegmark leads us on an astonishing journey through past, present and future, and through the physics, astronomy and mathematics that are the foundation of his work, most particularly his hypothesis that our physical reality is a mathematical structure and his theory of the ultimate...

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.

Brought to you by Penguin. The complexity of mathematics - its abstract rules and obscure symbols - can seem very distant from the everyday. There are those things that are real and present, it is supposed, and then there are mathematical concepts: creations of our mind, mysterious tools for...

In this must-have for anyone who wants to better understand their love life, a mathematician pulls back the curtain and reveals the hidden patterns—from dating sites to divorce, sex to marriage—behind the rituals of love. The roller coaster of romance is hard to quantify; defining how lovers...

From the coauthor of Algorithms to Live By, an exploration of the quest to use mathematics to describe the ways we think, from its origins three hundred years ago to the ideas behind modern AI systems and the ways in which they still differ from human minds Everyone has a basic understanding of...

Math has a reputation for being inaccessible. People think that it requires a special gift or that comprehension is a matter of genes. Yet, the greatest mathematicians throughout history, from Rene Descartes to Alexander Grothendieck, have insisted that this is not the case.

An "elegant", "engrossing" (Carol Tavris, Wall Street Journal) examination of what we think we know about the brain and why -- despite technological advances -- the workings of our most essential organ remain a mystery."I cannot recommend this book strongly enough."--Henry Marsh, author of Do No...

Struggling with math? Are numbers your number one enemy? Learn the exact thinking tools the top mathematicians use to utilize their math skills in real life and radically change how you shop, save, and think! Achieve your full potential by unlocking your mathematical mind - even if you think you don’t have one. Math is taught in a dull, authoritarian, and limited way. You either know how to do the Pythagorean theorem or you don’t. But, there is so much more to math than mere calculus and geometry.

Learn to release gifts and talents you never knew you had and how to use them to become hugely successful, happy, and even wealthy. Discover how it is your daily standards and authenticity that determine your success or failure with your goals.

An illuminating, millennia-spanning history of the impact mathematics has had on the world, and the fascinating people who have mastered its inherent power, from Babylonian tax officials to the Apollo astronauts to the eccentric professor who invented the infrastructure of the online world...

Physics professor, bestselling author, and dynamic storyteller James Kakalios reveals the mind-bending science behind the seemingly basic things that keep our daily lives running, from our smart phones and digital “clouds” to x-ray machines and hybrid vehicles. Most of us are clueless when...

Treating Mathematics Anxiety is Dr. Nagrath's second book after his initial Amazon Best Seller, "Rethinking Math Learning." In Treating Mathematics Anxiety: Inclusive Strategies for Working with Students Exhibiting Mathematics Anxiety, Dr. Nagrath introduces the underlying belief system that is causing mathematics anxiety along with strategies and frameworks that can be used by any district, school, teacher, parent, or student.

This philosophical essay is the development of a lecture on probabilities which I delivered in 1795 to the normal schools whither I had been called, by a decree of the national convention, as professor of mathematics with Lagrange. I have recently published upon the same subject a work entitled The Analytical Theory of Probabilities. I present here without the aid of analysis the principles and general results of this theory, applying them to the most important questions of life, which are indeed for the most part only problems of probability.

What if numbers are not the building blocks of the universe—but reflections of the human mind? For over two thousand years, the Pythagorean vision has shaped our understanding of the cosmos: a universe ruled by harmony, order, and mathematical law. From the “music of the spheres” to modern physics, the idea that reality can be perfectly described by numbers has guided both science and philosophy. Yet as quantum mechanics, neuroscience, and information theory now suggest, this vision may be an exquisite illusion.

Mathematician Ian Stewart tells listeners what he wishes he had known when he was a student. He takes up subjects ranging from the philosophical to the practical - what mathematics is and why it’s worth doing, the relationship between logic and proof, the role of beauty in mathematical thinking, the future of mathematics, how to deal with the peculiarities of the mathematical community, and many others.

Sommes-nous guidés par le hasard ou par le destin ? Une histoire du déterminisme, de Newton jusqu'aux développements les plus récents de la théorie du chaos. Isaac Newton prévoit le mouvement des planètes Depuis Galilée et Newton, la physique et les mathématiques sont traversées par la question centrale du déterminisme : est-il possible de prévoir le futur à partir du présent ? Newton met au point un outil mathématique qui permet de prédire le mouvement des objets et des planètes. Ce faisant, et jusqu'au XIX siècle, il donne un élan d'optimisme conquérant à la science qui semble en état de résoudre tous les problèmes.

Find over a thousand of astounding fun facts in this combination audiobook -- a treasure chest for trivia buffs. Want to be surprised with the truth? Discover how you've been misled for years? Get a kick out of coincidences? Learn about the U.S. state that no longer exists -- the man who was...

Who hasn't feared the math Minotaur in its labyrinth of abstractions? Now, in Out of the Labyrinth, Robert and Ellen Kaplan - the founders of The Math Circle, the popular learning program begun at Harvard in 1994 - reveal the secrets behind their highly successful approach, leading listeners out of the labyrinth and into the joyous embrace of mathematics.