Free summaries
Mathematics
20 public-domain mathematics books, summarised. Page 1 of 1.
The Canterbury Puzzles, and Other Curious Problems
Henry Ernest Dudeney
An intricate labyrinth of mathematical paradoxes, geometric feats, and clever riddles lies disguised behind ordinary stories of medieval travelers, eccentric professors, and coastal mysteries.
On Growth and Form
D'Arcy Wentworth Thompson
Nature shapes living forms not by biological decree alone, but through the universal mechanics of physical law, surface tension, and mathematical geometry.
The Romance of Mathematics: Being the Original Researches of a Lady Professor of Girtham College in Polemical Science, with some Account of the Social Properties of a Conic
P. H. (Peter Hampson) Ditchfield
A playful Victorian satire, this work imagines a brilliant female academic who applies the rigid logic of mathematics to the chaotic, evolving art of politics. It is a witty, intellectual romp through the gendered biases of its time.
The Game of Logic
Lewis Carroll
This book transforms the study of logic from an abstract, academic pursuit into a tangible, playful puzzle. By utilizing a physical board and colored counters, it invites readers to map out arguments visually, turning statements about "cakes" and "dragons" into a game of spatial reasoning.
The Logic of Chance, 3rd edition: An Essay on the Foundations and Province of the Theory of Probability, With Especial Reference to Its Logical Bearings and Its Application to Moral and Social Science and to Statistics
John Venn
This inquiry into the nature of chance shifts the focus from abstract mathematics to the observable regularities of human life, arguing that probability is best understood as a study of long-term frequency.
An essay on the foundations of geometry
Bertrand Russell
The quest to reconcile the logical necessity of space with the shifting landscape of non-Euclidean geometry defines this foundational work of rigorous philosophical inquiry. It remains a vital bridge between mathematical exploration and the nature of human knowledge.
The Mathematicall Praeface to Elements of Geometrie of Euclid of Megara
John Dee
A singular intellect envisions a realm where abstract lines and numbers unlock the secrets of creation, transforming raw spatial mechanics into a divine blueprint for human understanding.
The philosophical and mathematical commentaries of Proclus on the first book of Euclid's elements (Vol. 1 of 2)
Proclus
Geometry serves not merely as a practical tool for measuring the earth, but as the soul's ladder to divine truth.
A Philosophical Essay on Probabilities
Laplace, Pierre Simon, marquis de
The human mind is a master of illusion, yet it possesses a singular tool to cut through the fog of uncertainty: the rigorous application of mathematics to the mysteries of chance.
Elements of arithmetic
Augustus De Morgan
This classic instructional text strips arithmetic down to its logical foundations, transforming calculation from a series of rote chores into an exercise of consistent, reflective thought.
An Elementary Course in Synthetic Projective Geometry
Derrick Norman Lehmer
A rigourous, elegant framework transforms simple spatial intuitions into a unified mathematical discipline while stripping away unnecessary metric measurement.
The Number "e"
Unknown
A monumental display of sheer computation, this text presents the fundamental mathematical constant $e$ expanded to roughly 100,000 decimal places.
A Review of Algebra
Romeyn Henry Rivenburg
A masterclass in functional instruction, this handbook distills complex algebraic principles into concise, targeted exercises designed to transform struggling students into competent problem solvers before college.
The Path-Way to Knowledg, Containing the First Principles of Geometrie
Robert Record
Geometry is a rigorous, elegant language that reveals the hidden architecture of the natural world, transforming abstract thought into reliable practice. This foundational guide maps the path from simple lines to the complexities of measurement.
Marks' first lessons in geometry: In two parts. Objectively presented, and designed for the use of primary classes in grammar schools, academies, etc
Bernhard Marks
This primer provides a foundational introduction to geometry for young students, emphasizing visual observation and logical deduction as essential tools for understanding the physical world. It argues that geometry is a practical necessity for every child, regardless of their future trade or profession.
On a Dynamical Top, for exhibiting the phenomena of the motion of a system of invariable form about a fixed point, with some suggestions as to the Earth's motion
James Clerk Maxwell
The humble spinning-top serves as a profound window into the mechanics of the universe, transforming a common childhood toy into a rigorous instrument for observing the complex laws of rotational dynamics.
![Cover of The Golden Mean or Ratio[(1+sqrt(5))/2]: To 20,000 places](https://cdn.myebooksbuy.com/c/the-golden-mean-or-ratio-1-sqrt-5-2-to-20-000-places.webp)
The Golden Mean or Ratio[(1+sqrt(5))/2]: To 20,000 places
Unknown
A deep dive into the architecture of numerical precision, this volume presents the fundamental constants that underpin mathematics, laid out with cold, unwavering accuracy for the seeker of objective truth.
The First 1001 Fibonacci Numbers
Unknown
A cascade of addition, where each number is the sum of its two predecessors, unfurls into a landscape of staggering, astronomical scale. This is a journey through the sheer, relentless architecture of an infinite sequence.
![Cover of Catalan's Constant [Ramanujan's Formula]](https://cdn.myebooksbuy.com/c/catalan-s-constant-ramanujan-s-formula-greg-fee.webp)
Catalan's Constant [Ramanujan's Formula]
Greg Fee
The pursuit of precision often demands a bridge between abstract theory and the relentless labor of computation. This account details the technical triumph of calculating a mathematical constant to hundreds of thousands of decimal places.
The Divining Rod: Virgula Divina—Baculus Divinatorius (Water-Witching)
Charles Latimer
This inquiry challenges the boundaries of nineteenth-century science, arguing that the ancient practice of dowsing is not mere superstition, but a phenomenon governed by the measurable laws of electromagnetism.