Mathematical Science

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 ...

Master the core data science mathematics powering modern machine learning without drowning in dense academic proofs. Perfect for your daily commute, this accessible and empowering guide transforms abstract algorithms into intuitive concepts. Whether you are prepping for a technical interview or...

A Priori and A Posteriori Knowledge Explained: Reason, Experience, Logic, Evidence, and the Sources of Human Knowledge asks a basic but far-reaching question: which truths can be known through reason alone, and which depend on observation, memory, testimony, or experiment? This book gives a practical introduction to that distinction without assuming prior study in philosophy. It explains why claims like “2 + 2 = 4” seem different from claims like “water boils at a certain temperature” and why that difference matters when we judge proof, evidence, certainty, and error. The focus ...

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.

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. 

From the internationally bestselling author, a revealing look at the surprising numbers that uncover the hidden forces shaping our world What do marriage, milk and the black market tell us about the state of humanity? Most people would say, not much at all. But the numbers reveal startling...

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.

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 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...

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...

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...

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 ...

The modern world is held captive by a brilliantly designed house of cards. For generations, the secular scientific establishment has presented the theory of evolution, the Big Bang, and the timeline of "deep time" not as theories, but as undeniable, absolute facts. From the television screens of The Cosmos to the halls of academia, humanity is taught that the universe is a godless accident and that biological life crawled out of the mud through a brutal, random lottery of death and time. In The Logic of Creation, David Michael Curtis brings this secular narrative into the cold, silent ...

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 ...

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 ...

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

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 ...

Are the secrets of the universe written in words - or is it all about the digits? K. C. Cole follows up her paean to the power of physics, Sympathetic Vibrations, with this engaging and accessible guide to the might and majesty of mathematics. The Universe and the Teacup uses relatable examples and humorous prose to demonstrate math's ability to "translate the complexity of the world into manageable patterns". 

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...

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...