Mathematical Science

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...

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.

Alexander Unzicker is a theoretical physicist and writes about elementary questions of natural philosophy. His critique of contemporary physics Bankrupting Physics (Macmillan) received the ‘Science Book of the Year’ award (German edition 2010). With The Mathematical Reality, Unzicker presents his most fundamental work to date, which is the result of years of study of natural laws and their historical development.The discovery of fundamental laws of nature has influenced the fate of Homo sapiens more than anything else. Has modern physics already understood these laws? Many puzzles ...

Werner Heisenberg entered the atom and found Plato waiting inside. At the foundations of quantum physics lies a strange revelation: matter is not what it seems. The deeper science looks into the physical world, the less reality resembles tiny solid objects moving through empty space. Instead, it reveals uncertainty, probability, measurement, mathematical structures, and invisible forms beneath appearance. In Heisenberg and the Platonic Foundations of Quantum Physics, Clayton Louis Turnage explores the philosophical imagination behind one of the founders of quantum mechanics. From matrix ...

Michael Schneider leads us on a spectacular journey along the numbers one through 10 to explore the mathematical principles made visible in flowers, shells, crystals, plants, and the human body, expressed in the symbolic language of folk sayings and fairy tales, myth and religion, art and architecture. This is a new view of mathematics, not the one we learned at school but a comprehensive guide to the patterns that recur through the universe and underlie human affairs. 

On August 10, 1632, five men in flowing black robes convened in a somber Roman palazzo to pass judgment on a deceptively simple proposition: that a continuous line is composed of distinct and infinitely tiny parts. With the stroke of a pen the Jesuit fathers banned the doctrine of infinitesimals, announcing that it could never be taught or even mentioned. The concept was deemed dangerous and subversive, a threat to the belief that the world was an orderly place, governed by a strict and unchanging set of rules.

The remarkable story of an ordinary man who was transformed when a traumatic injury left him with an extraordinary gift. No one sees the world as Jason Padgett does. Water pours from the faucet in crystalline patterns, numbers call to mind distinct geometric shapes, and intricate fractal patterns emerge from the movement of tree branches, revealing the intrinsic mathematical designs hidden in the objects around us. Yet Padgett wasn’t born this way. Twelve years ago, he had never made it past pre-algebra. But a violent mugging forever altered the way his brain works.

For thousands of years mathematicians solved progressively more difficult algebraic equations, until they encountered the quintic equation, which resisted solution for three centuries. Working independently, two prodigies ultimately proved that the quintic cannot be solved by a simple formula. The first popular account of the mathematics of symmetry and order, The Equation That Couldn't Be Solved is told not through abstract formulas but in a beautifully written and dramatic account of the lives and work of some of the greatest and most intriguing mathematicians in history.

The Structure of Reality: Constraint, Coherence, and Control This work defines the structure by which all systems are generated, sustained, and transformed. Fragments of this structure appear across traditions—in Sefer Yetzirah, Sefer ha-Razim, and Ghāyat al-Ḥakīm—as well as in mathematics and natural systems, each describing part of the process without presenting a complete account. Drawing on the research developed by Dr. Erik Gray and known as The Foundations Corpus, this work resolves these fragments into a single operational framework that makes explicit the conditions under ...

What can a simple sequence of numbers reveal about the world? The Fibonacci sequence—1, 1, 2, 3, 5, 8, 13…—first appeared in 1202 when Leonardo of Pisa included a rabbit population puzzle in his book Liber Abaci. Over the centuries, mathematicians discovered that this elegant sequence connects to some of the most fascinating patterns in mathematics, nature, and modern technology. Fibonacci and the Science of Growth: A Guide to Mathematical Patterns in Nature, Technology, and Complex Systems explores how a simple rule—adding the two previous numbers—can generate rich and surprising...

E=mc2 was born in 1905, the brainchild of Albert Einstein. In this lucid and brilliant book, one of the best popularizers of science illuminates one of science's most complex concepts. Ranging widely from Exit signs in theatres to the future fate of the earth, from smoke detectors to black holes...

Find out what Tesla's role in the 3 6 9 "Manifestation Method" is by listening to this audiobook now.

Foundations of Form: Understanding the Enduring Ideas of Euclid and the Birth of Geometry explores how one ancient thinker transformed human understanding of logic, structure, and truth. More than two thousand years ago, Euclid of Alexandria wrote The Elements, a work that shaped the course of mathematics, science, and philosophy for all time. His clear reasoning and geometric method taught the world that knowledge could be built from simple principles through the power of logic alone. This in-depth volume from The Practical Atlas traces Euclid’s life, his groundbreaking system of axioms ...

Think in Sets – A Beginner’s Guide to Discrete Maths is a friendly, simple, and clear introduction to the most important subject in computer science: Discrete Mathematics. Written especially for beginners, this book removes fear and confusion and replaces them with confidence and clarity. Whether you are a first-year engineering student, a computer science learner, or someone returning to math after years, this book explains each concept in an easy, intuitive, and learner-friendly way—without sacrificing correctness.

The Life and Legacy of Jules Henri Poincaré A Master of Pattern Recognition, He Laid the Groundwork for Chaos Theory, Relativity, and More Step into the life of one of history’s most quietly transformative minds—Jules Henri Poincaré, the mathematician, physicist, philosopher, and polymath who bridged the old world of Newtonian mechanics and the modern age of chaos and relativity. In this sweeping and intimate biography, The Life and Legacy of Jules Henri Poincaré traces the journey of a man whose insights redefined the laws of the universe—often before the world was ready to ...

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...

For centuries, humanity has studied consciousness, biology, physics, and mind as if they belonged to different worlds. They never did. They only looked that way because human perception is a narrow rendering of a far larger structure — a structure that can finally be modeled, described, and proven. In The Ω-Field, Dr. Erik Gray introduces the first complete framework that unifies the deepest patterns of human life — perception, identity, thought, emotion, death, memory, culture, evolution, intuition, intelligence — inside a single mathematical field. This is not a metaphor. It is a ...

For centuries, humanity has studied consciousness, biology, physics, and mind as if they belonged to different worlds. They never did. They only looked that way because human perception is a narrow rendering of a far larger structure — a structure that can finally be modeled, described, and proven. In The Ω-Field, Dr. Erik Gray introduces the first complete framework that unifies the deepest patterns of human life — perception, identity, thought, emotion, death, memory, culture, evolution, intuition, intelligence — inside a single mathematical field. This is not a metaphor. It is a ...

An entertaining investigation of the numerical abilities of animals and our own appetite for arithmetic The philosopher Bertrand Russell once observed that realizing that a pair of apples and the passage of two days could somehow both be represented by the concept we call “two” was one...

"¿Quién escucharía un audiolibro sobre matemáticas sin que le obliguen?". Porque al escuchar sobre ellas se corren varios riesgos.... Tal vez cambiemos nuestra idea sobre las matemáticas, con las que hemos vivido tan cómodamente todo este tiempo, y es posible que terminen por gustarnos. Este audiolibro te mostrará que las matemáticas no son tan odiosas como aparentan; en ellas interviene la creatividad, la intuición, el cálculo, la imaginación, la técnica. Son una oportunidad de disfrutar de la realidad de una forma distinta.