Here are 100 books that The Biggest Number in the World fans have personally recommended if you like
The Biggest Number in the World.
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As a child, I felt profoundly dissatisfied by the pat and cardboard cutout explanations that some teachers offered for life and the universe: there had to be more! I decided to go into science. The explanatory power of science is 'next level,' to use a contemporary phrase, and unless and until we explore it, we'll miss the beauty and sheer wonder of the universe. Neither should we overly specialize: science is not compartmentalized, but vastly different fields of science feed into and reinforce one another. Popular science has an essential role to play: irrespective of how arcane hard science may appear to be, its story can always be told in everyday words.
I loved this book because it offers a refreshing view of what neuroscience can and should be. Unlike different, highly credentialed neuroscientists who routinely offer vastly incompatible views of consciousness and who we ultimately are, this book instead focuses on the extraordinary theme of how the brain organizes the engineering of consciousness rather than on the more elusive and controversial deeper questions.
As an illustration of the many mind-broadening themes broached in this superb book, instinct is often used as the be-all and end-all explanation of certain animal and human behaviors. Of the two hundred or so books I have read on the subject of consciousness and the brain, I have never before come across a more cogent explanation of how instinct arises and sets over many generations.
What does drug withdrawal have in common with a broken heart? Why is the enemy of memory not time, but other memories? How can a blind person learn to see with her tongue or a deaf person learn to hear with his skin? Why did many people in the 1980s mistakenly perceive book pages to be slightly red in colour? Why is the world's best archer armless? Might we someday control a robot with our thoughts, just as we do our fingers and toes? Why do we dream at night, and what does that have to do with the rotation…
As a child, I felt profoundly dissatisfied by the pat and cardboard cutout explanations that some teachers offered for life and the universe: there had to be more! I decided to go into science. The explanatory power of science is 'next level,' to use a contemporary phrase, and unless and until we explore it, we'll miss the beauty and sheer wonder of the universe. Neither should we overly specialize: science is not compartmentalized, but vastly different fields of science feed into and reinforce one another. Popular science has an essential role to play: irrespective of how arcane hard science may appear to be, its story can always be told in everyday words.
This book is the first pop science book I would ever recommend to anyone, and certainly to anyone who could only ever read one science book in their lives. It tackles the issue of why our universe is so extremely fine-tuned for life but ends up being much more than that, as the search for answers leads the author to a thrilling exploration of many deep questions at the forefront of physics and of life itself.
Cosmic Jackpot is Paul Davies’s eagerly awaited return to cosmology, the successor to his critically acclaimed bestseller The Mind of God. Here he tackles all the "big questions," including the biggest of them all: Why does the universe seem so well adapted for life?
In his characteristically clear and elegant style, Davies shows how recent scientific discoveries point to a perplexing fact: many different aspects of the cosmos, from the properties of the humble carbon atom to the speed of light, seem tailor-made to produce life. A radical new theory says it’s because our universe is just one of an…
As a child, I felt profoundly dissatisfied by the pat and cardboard cutout explanations that some teachers offered for life and the universe: there had to be more! I decided to go into science. The explanatory power of science is 'next level,' to use a contemporary phrase, and unless and until we explore it, we'll miss the beauty and sheer wonder of the universe. Neither should we overly specialize: science is not compartmentalized, but vastly different fields of science feed into and reinforce one another. Popular science has an essential role to play: irrespective of how arcane hard science may appear to be, its story can always be told in everyday words.
This often startling book provides a tour d'horizon of unsettled questions in modern physical science and, most importantly, of the intriguing directions the answers could take. It should inspire many in the rising generations of students to take the baton from their elders and seek a career in science at the edges of human understanding. A book I so wish had already been around when I began studying physics.
Tom Siegfried is a distinguished science journalist.
Scientists studying the universe find strange things in two places?out in space and in their heads. This is the story of how the most imaginative physicists of our time perceive strange features of the universe in advance of the actual discoveries.
It is almost a given that physics and cosmology present us with some of the grandest mysteries of all. What weightier questions to ponder than, "How does the universe work?" or "What is the universe made of?" There are any number of bizarre phenomena that could provide clues or even answers to these queries. The strangeness ranges from unusual…
As a child, I felt profoundly dissatisfied by the pat and cardboard cutout explanations that some teachers offered for life and the universe: there had to be more! I decided to go into science. The explanatory power of science is 'next level,' to use a contemporary phrase, and unless and until we explore it, we'll miss the beauty and sheer wonder of the universe. Neither should we overly specialize: science is not compartmentalized, but vastly different fields of science feed into and reinforce one another. Popular science has an essential role to play: irrespective of how arcane hard science may appear to be, its story can always be told in everyday words.
I loved this book because it so effectively punctures the myth that mathematics might be dull or boring while teaching much about numbers, the founding stones of all the other branches of mathematics, and ultimately of all of science itself.
At first sight, numbers can seem deceptively bland–what else could be as plain vanilla as 1, 2, and 3? Yet simple numbers inevitably give rise to a whole menagerie of other, increasingly exotic numbers–most of which are soon shown to collectively behave in unforeseeable, puzzling ways (such as prime numbers do). Irrational numbers are starkly counterintuitive, and Julian Harvil does an extraordinary job of showing how and why.
An entertaining and enlightening history of irrational numbers, from ancient Greece to the twenty-first century
The ancient Greeks discovered them, but it wasn't until the nineteenth century that irrational numbers were properly understood and rigorously defined, and even today not all their mysteries have been revealed. In The Irrationals, the first popular and comprehensive book on the subject, Julian Havil tells the story of irrational numbers and the mathematicians who have tackled their challenges, from antiquity to the twenty-first century. Along the way, he explains why irrational numbers are surprisingly difficult to define-and why so many questions still surround them.…
I have been increasingly interested in astrophysics since I was six years old. My mother hooked me on reading at five by stopping novels at critical points and urging me to continue. I’ve ever since read a broad range of books. I stumbled upon Dr. Loren Eiseley in the early 1970s and enjoyed his books immensely. As soon as a book by Dr. Carl Sagan was published, I wanted to read it. As I’ve grown older, I try not to think that ‘peak humanity’ is behind us–and books such as Sagan, Eiseley, and Rovelli offset that potentially depressing thought and provide solid encouragement.
Eiseley first became known for his book The Immense Journey. I
enjoyed that book, but I enjoyed this one considerably more,
perhaps because its context was closer to my interests.
There
were paragraphs within this book where my thoughts were right
there on the page. I found that to be very exciting.
Drawing from his long experience as a naturalist, the author responds to the unexpected and symbolic aspects of a wide spectrum of phenomena throughout the universe.Scrupulous scholarship and magical prose are brought to bear on such diverse topics as seeds, the hieroglyphs on shells, lost tombs, the goddess Circe, city dumps, and Neanderthal man. AUTHOR: Loren Eiseley's many works include The Night Country, The Invisible Pyramid, The Immense Journey and The Firmament of Time, all available in Bison Books editions. He worked at the University of Pennsylvania until his death.
I'm a British writer, (though I now live and work in California) and a Stanford professor who is passionate about helping everyone know they have endless potential and that math is a subject of creativity, connections, and beautiful ideas. I spend time battling against math elitism, systemic racism, and the other barriers that have stopped women and people of color from going forward in STEM. I am the cofounder of youcubed, a site that inspires millions of educators and their students, with creative mathematics and mindset messages. I've also made a math app, designed to help students feel good about struggling, called Struggly.com. I love to write books that help people develop their mathematical superpowers!
I love all of Eugenia’s books, she is a cool mathematician working to educate the public about real mathematics – a subject of deep explorations and connected ideas.
Eugenia shares the creativity in mathematics, and the importance of pushing against boundaries, including the gender boundaries that often stop girls and women going forward in STEM. Her playful use of mathematical ideas to disrupt the myths of narrow and inequitable mathematics and the dominance of men in the field, is so fascinating, especially for those of us perturbed by the inequities in STEM.
This is a great book for those who would like to love mathematics a little more than they do now.
One of the world’s most creative mathematicians offers a new way to look at math—focusing on questions, not answers
Where do we learn math: From rules in a textbook? From logic and deduction? Not really, according to mathematician Eugenia Cheng: we learn it from human curiosity—most importantly, from asking questions. This may come as a surprise to those who think that math is about finding the one right answer, or those who were told that the “dumb” question they asked just proved they were bad at math. But Cheng shows why people who ask questions like “Why does 1 +…
Philosophy’s core questions have always obsessed me: What is real? What makes life worth living? Can knowledge be made secure? In graduate school at the University of Virginia I was drawn to mathematically formalized approaches to such questions, especially those of C. S. Peirce and Alain Badiou. More recently, alongside colleagues at Endicott College’s Center for Diagrammatic and Computational Philosophy and GCAS College Dublin I have explored applications of diagrammatic logic, category theory, game theory, and homotopy type theory to such problems as abductive inference and artificial intelligence. Philosophers committed to the perennial questions have much to gain today from studying the new methods and results of contemporary mathematics.
Zalamea’s book is the perfect introduction and survey if you want to understand how developments in contemporary mathematics are relevant to current philosophy.
Zalamea’s own approach follows closely in the steps of Peirce, Lautman, and Grothendieck, merging pragmatism, dialectics, and sheaf theory, but he also engages the work of dozens of other key mathematicians and philosophers coming from different points of view, sometimes cursorily, always tantalizingly.
No philosopher can read this book without a quickened heartbeat and eager plans to clear shelf space for some of the many volumes of mathematics and philosophy of mathematics canvassed here by Zalamea.
A panoramic survey of the vast spectrum of modern and contemporary mathematics and the new philosophical possibilities they suggest.
A panoramic survey of the vast spectrum of modern and contemporary mathematics and the new philosophical possibilities they suggest, this book gives the inquisitive non-specialist an insight into the conceptual transformations and intellectual orientations of modern and contemporary mathematics.
The predominant analytic approach, with its focus on the formal, the elementary and the foundational, has effectively divorced philosophy from the real practice of mathematics and the profound conceptual shifts in the discipline over the last century. The first part discusses the…
I taught for 45 years at Ithaca College broken by two years as Fulbright Professor in West Africa at the University of Liberia. During my years in academia, I developed several new courses including a popular “Math in Africa” class and the first U.S. course for college credit in chess theory. I’ve always had a passion for and continue to have strong interests in (1) national educational and social issues concerning equal access to math education for all and (2) teaching others about the power of mathematics and statistics to help one more deeply understand social issues.
The author shows how our inability to deal rationally with data results in misinformed governmental policies, muddled personal decisions, and a heightened vulnerability to accepting baseless conclusions.
With examples from drug testing and sex discrimination to law and relative risk, and everything in between, the reader is shown how understanding numbers can improve society as a whole as well as better individual lives. I’ve handed out copies of this book to my students, friends, and academic associates.
Why do even well-educated people often understand so little about maths - or take a perverse pride in not being a 'numbers person'?
In his now-classic book Innumeracy, John Allen Paulos answers questions such as: Why is following the stock market exactly like flipping a coin? How big is a trillion? How fast does human hair grow in mph? Can you calculate the chances that a party includes two people who have the same birthday? Paulos shows us that by arming yourself with some simple maths, you don't have to let numbers get the better of you.
Having a master's degree in chemical engineering, I wasn't destined to work in the area of quantitative finance… the reason why I professionally moved to this discipline aren't worth exposing, but as a matter of fact, I've been quickly fascinated by this science, and encountered some of my favorites, such as maths and statistics, as used in the traditional activity of an engineer. And I had many opportunities of combining the knowledge and practice of financial markets with pragmatism, typically of the engineer’s education, i.e. oriented toward problem solving. In addition, I've always loved teaching, and writing books on financial markets & instruments, hence the importance I'm giving to pedagogy in professional books.
Having read or browsed many books dedicated to the mathematics of options and other derivative instruments, I unquestionably consider Neftci’s book as by far the best choice.
Starting with the fundamentals, it goes much further than a simple “introduction”, and typically fits with the needs of a “quant” specializing in options, with a good balance between pure theoretical, mathematical developments (such as Partial Differential Equations, Girsanov theorem, Markov processes, etc) and practical applications on option pricing.
An Introduction to the Mathematics of Financial Derivatives, Second Edition, introduces the mathematics underlying the pricing of derivatives.
The increased interest in dynamic pricing models stems from their applicability to practical situations: with the freeing of exchange, interest rates, and capital controls, the market for derivative products has matured and pricing models have become more accurate. This updated edition has six new chapters and chapter-concluding exercises, plus one thoroughly expanded chapter. The text answers the need for a resource targeting professionals, Ph.D. students, and advanced MBA students who are specifically interested in financial derivatives.
Philosophy’s core questions have always obsessed me: What is real? What makes life worth living? Can knowledge be made secure? In graduate school at the University of Virginia I was drawn to mathematically formalized approaches to such questions, especially those of C. S. Peirce and Alain Badiou. More recently, alongside colleagues at Endicott College’s Center for Diagrammatic and Computational Philosophy and GCAS College Dublin I have explored applications of diagrammatic logic, category theory, game theory, and homotopy type theory to such problems as abductive inference and artificial intelligence. Philosophers committed to the perennial questions have much to gain today from studying the new methods and results of contemporary mathematics.
From a strictly philosophical perspective, the emergence of category theory as a unifying paradigm rivaling set theory is probably the most important development in mathematics in the last half-century.
But for philosophers without a lot of mathematical background, learning even its rudiments can be daunting. Among many introductory texts (Lawvere and Schanuel, Awodey, Riehl, Spivak), Cheng’s book stands out as perhaps the friendliest and most accessible.
She does not forego rigor, but she isn’t afraid to put aside precise formalism when necessary for intuition and clearer understanding. Her book takes the reader from mathematical beginnings through category theory’s core constructions to glimpses of higher-order categories (one of Cheng’s areas of expertise).
A mathematically novice philosopher who wants to understand the basics of category theory couldn’t do better.
Mathematician and popular science author Eugenia Cheng is on a mission to show you that mathematics can be flexible, creative, and visual. This joyful journey through the world of abstract mathematics into category theory will demystify mathematical thought processes and help you develop your own thinking, with no formal mathematical background needed. The book brings abstract mathematical ideas down to earth using examples of social justice, current events, and everyday life - from privilege to COVID-19 to driving routes. The journey begins with the ideas and workings of abstract mathematics, after which you will gently climb toward more technical material,…
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