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.

The companion book to COURSERA's wildly popular massive open online course "Learning How to Learn" Whether you are a student struggling to fulfill a math or science requirement, or you are embarking on a career change that requires a new skill set, A Mind for Numbers offers the tools you need...

"A History of Mathematics" is a work that traces the evolution of mathematics from its earliest beginnings to the present day, offering readers a profound understanding of how this science has shaped human thought and driven advancements in various fields of knowledge. The book begins by exploring the origins of mathematics in early civilizations. From the rudimentary practices of counting in ancient societies, such as those of Egypt and Mesopotamia, to the development of numerical systems and geometric techniques that became essential for organizing these cultures. The author reveals how ...

Mathematical Mindsets provides practical strategies and activities to help teachers and parents show all children, even those who are convinced that they are bad at math, that they can enjoy and succeed in math. Jo Boaler - Stanford researcher, professor of math education, and expert on math learning - has studied why students don't like math and often fail in math classes. She's followed thousands of students through middle and high schools to study how they learn and to find the most effective ways to unleash the math potential in all students.

Unlock the Secrets of an Ancient Thinker Who Shaped Modern Thought Are you ready to challenge your understanding of reality? Zeno of Elea, the brilliant philosopher whose paradoxes have baffled minds for centuries, offers you a journey into the heart of philosophical inquiry. This is not just a book; it’s an intellectual adventure that will change the way you see the world. Dive into the Mind of a Master: Zeno’s paradoxes are more than mere puzzles; they are profound explorations of the concepts of space, time, and infinity. This book breaks down his most famous paradoxes in a way that ...

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.

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.

Discover the timeless wisdom of one of history’s most extraordinary thinkers. The Harmony of Numbers: Exploring the Profound Philosophy and Mathematics of Pythagoras invites readers into the mind of a philosopher who saw beauty, truth, and order in everything. Long before modern science, Pythagoras taught that the universe itself was built upon mathematical harmony. His ideas shaped geometry, inspired Plato, influenced the rise of Western philosophy, and helped lay the groundwork for astronomy, music theory, and the very concept of scientific law. In this richly written exploration, The ...

“There are at least two kinds of games,” states James P. Carse as he begins this extraordinary book. “One could be called finite; the other infinite. A finite game is played for the purpose of winning, an infinite game for the purpose of continuing the play.” Finite games are the...

Whether pondering black holes or predicting discoveries at CERN, physicists believe the best theories are beautiful, natural, and elegant, and this standard separates popular theories from disposable ones. This is why, Sabine Hossenfelder argues, we have not seen a major breakthrough in the foundations of physics for more than four decades. The belief in beauty has become so dogmatic that it now conflicts with scientific objectivity: Observation has been unable to confirm mindboggling theories, like supersymmetry or grand unification, invented by physicists based on aesthetic criteria.

Imagine unlocking the secrets of the universe by delving into the mind of the man who started it all. Thales of Miletus for Beginners: Understanding the Father of Western Philosophy takes you on a journey through time, straight to the origins of rational thought. This isn’t just another history book—it's your gateway to understanding the ideas that shaped the world. Curious about how one man laid the foundation for both philosophy and science? Discover the groundbreaking insights of Thales, the first philosopher to explain the world through reason rather than mythology. In this ...

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...

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...

This book has the preface of the renowned Educator, Writer, and Philosopher Mario Sergio Cortella, and he ends the preface: ... "The Heverton Anunciação invents a fiction pregnant with reality; it is the thinking of life lived". You will surely identify yourself with one of the ten characters in this story where the reality and fiction existing in our cities is reflected. The story is narrated in a light way in which emotions can arise from true or false expectations, and that it is not always the man who is to blame, but the woman herself of whom you create your projections in someone ...

Named a Best Book of 2021 by the Financial Times and a Best Science Book of 2021 by The Guardian “Rovelli is a genius and an amazing communicator… This is the place where science comes to life.” ―Neil Gaiman “One of the warmest, most elegant and most lucid interpreters to the laity of...

From a single point, an entire geometry unfolds. The Flower of Life: The Hidden Architecture of the Ancient World examines one of history’s most enduring geometric patterns with clarity, restraint, and precision. Often surrounded by speculation, the Flower of Life is here approached as geometry first: a structure generated from the repeated placement of a single radius. From that simple constraint emerges equilateral symmetry, hexagonal order, and the underlying framework of the Platonic solids. This book traces the pattern through three distinct lenses: • Structure — A clear, step-by...

From the simple to the intricate and the audacious to the absurd, Adam Kucharski reveals the long and tangled history between betting and science and explains why gambling continues to generate insights into luck and decision making today. Covering exploits and ideas from across the globe, he meets the teams behind hedge funds that capitalize on inaccurate sports betting odds and explains how PhD-level pundits are using methods originally developed for the US nuclear program to predict sports results.

A fascinating exploration of the science of the impossible—from death rays and force fields to invisibility cloaks—revealing to what extent such technologies might be achievable decades or millennia into the future. One hundred years ago, scientists would have said that lasers, televisions...

Geneticist Adam Rutherford and mathematician Hannah Fry guide listeners through time and space, through our bodies and brains, showing how emotions shape our view of reality, how our minds tell us lies, and why a mostly bald and curious ape decided to begin poking at the fabric of the universe.

The Wager of Reason: Understanding the Life, Faith, and Philosophy of Blaise Pascal explores the extraordinary mind of one of history’s most brilliant and complex thinkers. Mathematician, physicist, inventor, and philosopher, Blaise Pascal transformed the way we understand both the natural world and the human spirit. From his invention of the Pascaline and his pioneering work in probability theory to his profound reflections in Pensées, Pascal bridged the realms of science and faith with rare brilliance and sincerity. This in-depth exploration traces Pascal’s journey from prodigy to ...