Here are 100 books that The Biggest Number in the World fans have personally recommended if you like
The Biggest Number in the World.
Shepherd is a community of 12,000+ authors and super readers sharing their favorite books with the world.
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.
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.
The Univalent Foundations program in foundations of mathematics launched by Voevodsky and others in the past decade and a half has contributed to a promising new paradigm unifying computation, mathematics, logic, and proof theory.
Understanding the core elements of this research program, Homotopy Type Theory, is essential for contemporary philosophers who want to engage directly with current developments in mathematics and computer science.
Corfield is a well-established name in philosophy of mathematics, and this book is the best introduction to Homotopy Type Theory for philosophers.
Working within themes and problematics that will be familiar to philosophers with a basic background in logic, Corfield covers the elementary constructions of homotopy types from a logical point of view and provides plenty of provocative suggestions for how these formal tools might reinvigorate philosophical research today.
"The old logic put thought in fetters, while the new logic gives it wings."
For the past century, philosophers working in the tradition of Bertrand Russell - who promised to revolutionise philosophy by introducing the 'new logic' of Frege and Peano - have employed predicate logic as their formal language of choice. In this book, Dr David Corfield presents a comparable revolution with a newly emerging logic - modal homotopy type theory.
Homotopy type theory has recently been developed as a new foundational language for mathematics, with a strong philosophical pedigree. Modal Homotopy Type Theory: The Prospect of a New…
Meaningful communications with people through life, books, and films have always given me a certain kind of mental nirvana of being transported to a place of delight. I see fine writing as an informative and entertaining conversation with a stranger I just met on a plane who has interesting things to say about the world. Books of narrative merit in mathematics and science are my strangers eager to be met. For me, the best narratives are those that bring me to places I have never been, to tell me things I have not known, and to keep me reading with the feeling of being alive in a human experience.
Great Circles is a unique tale of the life and works of mathematicians, scientists, philosophers, poets, and other literary figures. It is collections of circles of thoughts and implications that return on themselves as if they are gravitationally attached to some core red dwarf of universal meaning.
I loved reading this book. One moment I was into the math, and in the next, I was immersed in a relevant poem or was personality attached to some math or a philosophical thought about a connection of a poem with the math. It was a ride more than a read. It is a calming cognitive exercise on tour through and between chapters – mind wandering not permitted-- with a smooth comfort of thought as if Grosholz is in the room (or perhaps in your brain) reading and guiding.
The poetry is gripping and wonderfully placed between the appropriate background materials.
This volume explores the interaction of poetry and mathematics by looking at analogies that link them. The form that distinguishes poetry from prose has mathematical structure (lifting language above the flow of time), as do the thoughtful ways in which poets bring the infinite into relation with the finite. The history of mathematics exhibits a dramatic narrative inspired by a kind of troping, as metaphor opens, metonymy and synecdoche elaborate, and irony closes off or shifts the growth of mathematical knowledge.
The first part of the book is autobiographical, following the author through her discovery of these analogies, revealed by…
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.'
This book is out of print, but I include it in the hope that some public-spirited publisher may be persuaded to reissue this large-format picture book. It was the first book on mathematics that I read at about the age of ten and it contained precisely what I needed to show me that this was a subject with a history and a use. (Nor am I the only mathematician to have this experience.)
As an adult, I found the same author’s Mathematics for the Million a bit crass and utilitarian but I pardon him everything for a wonderful first experience.
This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it.
This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.
Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been…
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.
One of the friendliest routes into mathematics, for many people, is its history. In math, unlike many sciences, ideas last indefinitely. Pythagoras’s Theorem is about 4,000 years old, understood in ancient Babylon a thousand years before Pythagoras was born. It was true then, and it is still true today. The history of math tells of the construction of a towering edifice, with each new level built on top of the previous ones. There are many histories of mathematics, but none quite like this one. The author is a much-loved English TV personality, famous for his enthusiasm for math and his ability to make it entertaining for children of all ages. His book is a rollicking yarn, a wild ride that nonetheless remains true to its subject.
In this book, Johnny Ball tells one of the most important stories in world history - the story of mathematics.
By introducing us to the major characters and leading us through many historical twists and turns, Johnny slowly unravels the tale of how humanity built up a knowledge and understanding of shapes, numbers and patterns from ancient times, a story that leads directly to the technological wonderland we live in today. As Galileo said, 'Everything in the universe is written in the language of mathematics', and Wonders Beyond Numbers is your guide to this language.
I am a Reader in the Mathematics Education Centre at Loughborough University in the UK. I have always loved mathematics and, when I became a PhD student and started teaching, I realized that how people think about mathematics is fascinating too. I am particularly interested in demystifying the transition to proof-based undergraduate mathematics. I believe that much of effective learning is not about inherent genius but about understanding how theoretical mathematics works and what research tells us about good study strategies. That is what these books, collectively, are about.
Many undergraduate mathematics books – even those aimed at new students – are dense, technical, and difficult to read at any sort of speed. This is a natural feature of books in a deductive science, but it can be very discouraging, even for dedicated students. Houston’s book covers many ideas useful at the transition to proof-based mathematics, and he has worked extensively and attentively with students at that stage. Consequently, his book maintains high mathematical integrity and has lots of useful exercises while also being an unusually friendly read.
Looking for a head start in your undergraduate degree in mathematics? Maybe you've already started your degree and feel bewildered by the subject you previously loved? Don't panic! This friendly companion will ease your transition to real mathematical thinking. Working through the book you will develop an arsenal of techniques to help you unlock the meaning of definitions, theorems and proofs, solve problems, and write mathematics effectively. All the major methods of proof - direct method, cases, induction, contradiction and contrapositive - are featured. Concrete examples are used throughout, and you'll get plenty of practice on topics common to many…
