Here are 100 books that Hexaflexagons, Probability Paradoxes, and the Tower of Hanoi fans have personally recommended if you like
Hexaflexagons, Probability Paradoxes, and the Tower of Hanoi.
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Being a creative person, I studied design to make the world better… only to realise that great ideas and designs often falter because we hold ourselves back by the way we think. I had to study philosophy to understand what is limiting us. And then I left my own design work behind to study the practices expert creatives (like top design professionals) have developed to get past these roadblocks. Having discovered how they can create new frames, time and time again, it has become my mission to empower other people to do this – not only on a project level, but taking these practices to the organizational sector and societal transformation.
In this classic book, Kuhn introduces the idea of a "paradigm" and shows that real progress comes through paradigm shifts.
That hit me like a rock when I first read it. I love how in the second edition, Kuhn talks about the difficulties of deep change: "the problem is that the new paradigm is always worse than the old one."
The new paradigm may be better in some way, but it is also sketchy, unformed, and it creates lots of new uncertainties. So, for somebody to shift to a new paradigm always requires a leap of faith!
A good book may have the power to change the way we see the world, but a great book actually becomes part of our daily consciousness, pervading our thinking to the point that we take it for granted, and we forget how provocative and challenging its ideas once were-and still are. "The Structure of Scientific Revolutions" is that kind of book. When it was first published in 1962, it was a landmark event in the history and philosophy of science. And fifty years later, it still has many lessons to teach. With "The Structure of Scientific Revolutions", Kuhn challenged long-standing…
It is April 1st, 2038. Day 60 of China's blockade of the rebel island of Taiwan.
The US government has agreed to provide Taiwan with a weapons system so advanced that it can disrupt the balance of power in the region. But what pilot would be crazy enough to run…
I am a psychiatrist, researcher, and bioethicist who has conducted studies on infectious diseases, genetics, the mind and the brain at the National Institutes of Health, in the rain forest of Papua New Guinea, at Columbia University, and elsewhere, seeking and discovering knowledge and scientific truths about nature, people, and the world. I have published 10 books, over 200 scientific articles, and essays in The New York Times, The Washington Post, The Wall Street Journal, and elsewhere, conveying the excitement and extraordinary power of scientific discoveries, but also the moral, cultural, and psychological dilemmas that can arise, and the ways we can best address these.
Thomas captured the beauty and mystery of nature and science—how billions of cells in our body work intricately together to form tissues and organs that make us breathe, move, see, think, and fight infections, and how the world itself is analogous to one big cell.
I was amazed to understand the extraordinary complexities of Nature—how ants plan, communicate, and build farms, how our noses smell, how our eyes see and communicate to our brains, and how we hear and appreciate music.
Elegant, suggestive, and clarifying, Lewis Thomas's profoundly humane vision explores the world around us and examines the complex interdependence of all things. Extending beyond the usual limitations of biological science and into a vast and wondrous world of hidden relationships, this provocative book explores in personal, poetic essays to topics such as computers, germs, language, music, death, insects, and medicine. Lewis Thomas writes, "Once you have become permanently startled, as I am, by the realization that we are a social species, you tend to keep an eye out for the pieces of evidence that this is, by and large, good…
I am a psychiatrist, researcher, and bioethicist who has conducted studies on infectious diseases, genetics, the mind and the brain at the National Institutes of Health, in the rain forest of Papua New Guinea, at Columbia University, and elsewhere, seeking and discovering knowledge and scientific truths about nature, people, and the world. I have published 10 books, over 200 scientific articles, and essays in The New York Times, The Washington Post, The Wall Street Journal, and elsewhere, conveying the excitement and extraordinary power of scientific discoveries, but also the moral, cultural, and psychological dilemmas that can arise, and the ways we can best address these.
Vivid short histories about adventures and discoveries in microbiology.
Antonie van Leeuwenhoek and his close friend, the painter Johannes Vermeer, for instance, both used lenses—Vermeer in his painting and Leeuwenhoek in inventing the microscope and soon discovering blood cells, muscle fibers, sperm, and structures within human cells, as well as amoeba and protozoa—life forms no one knew existed that affect our lives.
“It manages to delight, and frequently to entrance, old and new readers [and] continues to engage our hearts and minds today with an indescribably brand of affectionate sympathy.”—F. Gonzalez-Crussi, from the Introduction
An international bestseller, translated into eighteen languages, Paul de Kruif’s classic account of the first scientists to see and learn about the microscopic world continues to fascinate new readers. This is a timeless dramatization of the scientists, bacteriologists, doctors, and medical technicians who discovered the microbes and invented the vaccines to counter them. De Kruif writes about how seemingly simple but really fundamental discovers of science—for instance, how…
A Duke with rigid opinions, a Lady whose beliefs conflict with his, a long disputed parcel of land, a conniving neighbour, a desperate collaboration, a failure of trust, a love found despite it all.
Alexander Cavendish, Duke of Ravensworth, returned from war to find that his father and brother had…
I am a psychiatrist, researcher, and bioethicist who has conducted studies on infectious diseases, genetics, the mind and the brain at the National Institutes of Health, in the rain forest of Papua New Guinea, at Columbia University, and elsewhere, seeking and discovering knowledge and scientific truths about nature, people, and the world. I have published 10 books, over 200 scientific articles, and essays in The New York Times, The Washington Post, The Wall Street Journal, and elsewhere, conveying the excitement and extraordinary power of scientific discoveries, but also the moral, cultural, and psychological dilemmas that can arise, and the ways we can best address these.
I read this book in college and it helped change my life, showing me the glories of science in a historical perspective.
Beautifully illustrated and written, the book inspired me to appreciate the history of marvelous discoveries—from tools, fire, agriculture, metal, numbers, mathematics, writing and printing to astronomy, biology, and electronics—that advanced humans, making us the preeminent species on earth.
Lauded by critics and devoured by countless readers as a companion to the acclaimed PBS series, this work traces the development of science as an expression of the special gifts that characterize man and make him preeminent among animals. Bronowski's exciting, splendidly illustrated investigation offers a new perspective not just on science, but on civilization itself. Photographs.
If you want to know what conducting an orchestra is like, you ask a conductor. If you want to know what being a mathematician is like, you ask a mathematician. I have been studying, researching, and teaching mathematics (mainly at Cambridge but also in France and elsewhere) for a lifetime and loved (almost) every moment of it. In the words of Constance Reid, `Mathematicians are people who devote their lives to what seems to me a wonderful kind of play.'
The Scientific American columns of Martin Gardner ran for 24 years and were read by amateurs, semi-amateurs, professionals, and major mathematicians (Conway, Knuth, Diaconis...). It was the interaction with this audience (recorded in addenda) which gave these essays their special quality and will give the interested outsider a real feel for what interests mathematicians. The collected columns are being reissued by the AMA and CUP but my view that anything by Martin Gardner is worth reading is reflected in my personal library.
Martin Gardner continues to delight. He introduces readers to the Generalized Ham Sandwich Theorem, origami, digital roots, magic squares, the mathematics of cooling coffee, the induction game of Eleusis, Dudeney puzzles, the maze at Hampton Court Palace, and many more mathematical puzzles and principles. Origami, Eleusis, and the Soma Cube is the second volume in Martin Gardner's New Mathematical Library, based on his enormously popular Scientific American columns. Now the author, in consultation with experts, has added updates to all the chapters, including new game variations, mathematical proofs, and other developments and discoveries, to challenge and fascinate a new generation…
I am an applied mathematician at Oxford University, and author of the bestseller 1089 and All That, which has now been translated into 13 languages. In 1992 I discovered a strange mathematical theorem – loosely related to the Indian Rope Trick - which eventually featured on BBC television. My books and public lectures are now aimed at bringing mainstream mathematics to the general public in new and exciting ways.
I have always liked the classical geometry of triangles and circles, but Matt Parker's book helped me go way beyond that and broaden my whole outlook. And the attractively hand-drawn diagrams and zany humour just added to the whole experience. After all, how many maths authors do you know who decide to build a computer out of 10,000 dominoes, just to calculate 6 + 4?
Stand-up mathematician and star of Festival of the Spoken Nerd, Matt Parker presents Things to Make and Do in the Fourth Dimension -- a riotous journey through the possibilities of numbers, with audience participation
- Cut pizzas in new and fairer ways! - Fit a 2p coin through an impossibly small hole! - Make a perfect regular pentagon by knotting a piece of paper! - Tie your shoes faster than ever before, saving literally seconds of your life! - Use those extra seconds to contemplate the diminishing returns of an exclamation-point at the end of every bullet-point! - Make a…
The Duke's Christmas Redemption
by
Arietta Richmond,
A Duke who has rejected love, a Lady who dreams of a love match, an arranged marriage, a house full of secrets, a most unneighborly neighbor, a plot to destroy reputations, an unexpected love that redeems it all.
Lady Charlotte Wyndham, given in an arranged marriage to a man she…
Although I loved studying mathematics in school, I have since learned that mathematics is so much more than school mathematics. My enthusiasm for all areas of mathematics has led me to conduct original mathematical research, to study the history of mathematics, to analyze puzzles and games, to create mathematical art, crafts, and activities, and to write about mathematics for general audiences. I am fortunate that my job—I am a professor of mathematics and the John J. & Ann Curley Faculty Chair in the Liberal Arts at Dickinson College—allows me the freedom to follow my passions, wherever they take me, and to share that passion with my students and with others.
They say that Plato was not a mathematician but was a maker of mathematicians. The same could be said of Martin Gardner, a prolific author who wrote, among many other things, the “Mathematical Games” column forScientific American for a quarter of a century. Although all his books are excellent, The Colossal Book of Mathematics is a great entry point to Gardner’s oeuvre. It consists of what Gardner viewed as his 50 best Scientific Americancolumns along with addenda containing updated material on each topic. With topics like topology, geometry, recreational mathematics, the infinite, and probability, each article is an informative, playful, well-written gem.
Whether discussing hexaflexagons or number theory, Klein bottles or the essence of "nothing," Martin Gardner has single-handedly created the field of "recreational mathematics." The Colossal Book of Mathematics collects together Gardner's most popular pieces from his legendary "Mathematical Games" column, which ran in Scientific American for twenty-five years. Gardner's array of absorbing puzzles and mind-twisting paradoxes opens mathematics up to the world at large, inspiring people to see past numbers and formulas and experience the application of mathematical principles to the mysterious world around them. With articles on topics ranging from simple algebra to the twisting surfaces of Mobius strips,…
I am a Research Assistant Professor of Computer Science at Stony Brook University learning/teaching/researching mathematics/algorithms/puzzles. In these fields, I have published a book, published 15+ papers in conferences/journals, been granted a US patent, won two Outstanding Paper Awards, taught 10+ courses in 25+ offerings, and have supervised 90+ master's/bachelor students. I am a puzzle addict involved in this field for 25 years and puzzles are my religion/God. Puzzles are the main form of supreme energy in this universe that can consistently give me infinite peace.
Peter Winkler is famous for his collections of counterintuitive puzzles. Thousands of people, including me, have spent many sleepless nights trying to understand the mysteries in these puzzles, for which, I am forever grateful.
Haunting puzzles in the book include hats and infinity, all right or all wrong, comparing numbers version 1/2, wild guess, laser gun, precarious picture, names in boxes, sleeping beauty, and dot-town exodus.
Most puzzle books exclude counterintuitive puzzles for unknown reasons. So, many people incorrectly assume that counterintuitive puzzles are majorly found in paradoxes. Peter Winkler in this book shows that counterintuition can come from either puzzles or solutions or both, and they need not come from paradoxes alone.
Finally, reading Winkler's statements is an absolute delight due to its enjoyable and entertaining nature.
Research in mathematics is much more than solving puzzles, but most people will agree that solving puzzles is not just fun: it helps focus the mind and increases one's armory of techniques for doing mathematics. Mathematical Puzzles makes this connection explicit by isolating important mathematical methods, then using them to solve puzzles and prove a theorem.
Features
A collection of the world's best mathematical puzzles
Each chapter features a technique for solving mathematical puzzles, examples, and finally a genuine theorem of mathematics that features that technique in its proof
Puzzles that are entertaining, mystifying, paradoxical, and satisfying; they are not…
As a kid I read every popular math book I could lay my hands on. When I became a mathematician I wanted to do more than teaching and research. I wanted to tell everyone what a wonderful and vital subject math is. I started writing popular math books, and soon was up to my neck in radio, TV, news media, magazines... For 12 years I wrote the mathematical Recreations Column for Scientific American. I was only the second mathematician in 170 years to deliver the Royal Institution Christmas Lectures, on TV with a live tiger. The University changed my job description: half research, half ‘outreach’. I had my dream job.
I was given this book when I was about 15, and devoured it. It is an eclectic collection of mathematical paradoxes, fallacies, and curiosities so strange that they seem impossible. Mathematical magic tricks, a proof that all numbers are equal, a proof that all triangles are isosceles, a curve whose length is infinite but whose area is finite, a curve that crosses itself at every point, a curve that fills the interior of a square. Infinities that are bigger than other infinities. The Saint Petersburg Paradox in probability, a calculation that you should pay the bank an infinite amount of money to play one fair coin-tossing game. The smallest number that cannot be named in fewer than thirteen words (which I’ve just named in twelve words).
Two fathers and two sons leave town. This reduces the population of the town by three. True? Yes, if the trio consists of a father, son, and grandson. This entertaining collection consists of more than 200 such riddles, drawn from every branch of mathematics. Math enthusiasts of all ages will enjoy sharpening their wits with riddles rooted in areas from arithmetic to calculus, covering a wide range of subjects that includes geometry, trigonometry, algebra, concepts of the infinite, probability, and logic. But only an elementary knowledge of mathematics is needed to find amusement in this imaginative collection, which features complete…
This book follows the journey of a writer in search of wisdom as he narrates encounters with 12 distinguished American men over 80, including Paul Volcker, the former head of the Federal Reserve, and Denton Cooley, the world’s most famous heart surgeon.
In these and other intimate conversations, the book…
As a kid I read every popular math book I could lay my hands on. When I became a mathematician I wanted to do more than teaching and research. I wanted to tell everyone what a wonderful and vital subject math is. I started writing popular math books, and soon was up to my neck in radio, TV, news media, magazines... For 12 years I wrote the mathematical Recreations Column for Scientific American. I was only the second mathematician in 170 years to deliver the Royal Institution Christmas Lectures, on TV with a live tiger. The University changed my job description: half research, half ‘outreach’. I had my dream job.
The Four Color Problem was one of the most baffling questions in mathematics for over 120 years. First posed in 1852, it asks whether every map can be colored with four colors, or fewer, so that regions adjacent along a boundary have different colors. The answer (yes) was finally obtained in 1976, with massive computer assistance. This method was initially controversial, but the result is now firmly established. This highly readable account, with full-color illustrations, opens up the history and the personalities who tackled this topological enigma, as well as making the mathematics comprehensible. The path to the final solution is littered with blunders and mistakes, but also illustrates how mathematicians can join forces across the generations to chip away at a problem until it cracks wide open.
On October 23, 1852, Professor Augustus De Morgan wrote a letter to a colleague, unaware that he was launching one of the most famous mathematical conundrums in history--one that would confound thousands of puzzlers for more than a century. This is the amazing story of how the "map problem" was solved. The problem posed in the letter came from a former student: What is the least possible number of colors needed to fill in any map (real or invented) so that neighboring counties are always colored differently? This deceptively simple question was of minimal interest to cartographers, who saw little…
