Book picks similar to
Mathematics Rebooted: A Fresh Approach to Understanding by Lara Alcock
mathematics
math
maths
philosophy
Action Philosophers!: the lives and thoughts of history's A-list brain trust
Fred Van Lente - 2009
These are not just great thinkers they also make great comics. Action Philosophers details the lives and thoughts of history's A-list brain trust in hip and humorous comic book fashion. All nine issues of the award-winning, best-selling comic book series have been collected into a single volume, making this a comprehensive cartoon history of ideas from pre-Socratics to Jacques Derrida, including four new stories. ""You'll never have more fun getting the real scoop on the big ideas that have made the world the mess we live in today!"" — Tom Morris (Author of Philosophy for Dummies, If Aristotle Ran General Motors, and If Harry Potter Ran General Electric).
Uncle Petros and Goldbach's Conjecture: A Novel of Mathematical Obsession
Apostolos Doxiadis - 1992
His feverish and singular pursuit of this goal has come to define his life. Now an old man, he is looked on with suspicion and shame by his family-until his ambitious young nephew intervenes.Seeking to understand his uncle's mysterious mind, the narrator of this novel unravels his story, a dramatic tale set against a tableau of brilliant historical figures-among them G. H. Hardy, the self-taught Indian genius Srinivasa Ramanujan, and a young Kurt Gödel. Meanwhile, as Petros recounts his own life's work, a bond is formed between uncle and nephew, pulling each one deeper into mathematical obsession, and risking both of their sanity.
Overland
Ewen Levick - 2019
From vast deserts to an Indonesian fishing boat, a slow train through Burma to an armed confrontation in Laos, lullabies from middle-aged Chinese businessmen to a cold night on the Great Wall, wolves and reindeer herders, thieves and nomads: this is a vivid illustration of Asia and the people who live there, and of one ancient, stubborn motorcycle travelling through the world's wild places.
The Perfect Machine: Building the Palomar Telescope
Ronald Florence - 1994
As huge as the Pantheon of Rome and as heavy as the Statue of Liberty, this magnificent instrument is so precisely built that its seventeen-foot mirror was hand-polished to a tolerance of 2/1,000,000 of an inch. The telescope's construction drove some to the brink of madness, made others fearful that mortals might glimpse heaven, and transfixed an entire nation. Ronald Florence weaves into his account of the creation of "the perfect machine" a stirring chronicle of the birth of Big Science and a poignant rendering of an America mired in the depression yet reaching for the stars.
The Science of Information: From Language to Black Holes
Benjamin Schumacher - 2015
Never before in history have we been able to acquire, record, communicate, and use information in so many different forms. Never before have we had access to such vast quantities of data of every kind. This revolution goes far beyond the limitless content that fills our lives, because information also underlies our understanding of ourselves, the natural world, and the universe. It is the key that unites fields as different as linguistics, cryptography, neuroscience, genetics, economics, and quantum mechanics. And the fact that information bears no necessary connection to meaning makes it a profound puzzle that people with a passion for philosophy have pondered for centuries.Table of ContentsLECTURE 1The Transformability of Information 4LECTURE 2Computation and Logic Gates 17LECTURE 3Measuring Information 26LECTURE 4Entropy and the Average Surprise 34LECTURE 5Data Compression and Prefix-Free Codes 44LECTURE 6Encoding Images and Sounds 57LECTURE 7Noise and Channel Capacity 69LECTURE 8Error-Correcting Codes 82LECTURE 9Signals and Bandwidth 94LECTURE 10Cryptography and Key Entropy 110LECTURE 11Cryptanalysis and Unraveling the Enigma 119LECTURE 12Unbreakable Codes and Public Keys 130LECTURE 13What Genetic Information Can Do 140LECTURE 14Life’s Origins and DNA Computing 152LECTURE 15Neural Codes in the Brain 169LECTURE 16Entropy and Microstate Information 185LECTURE 17Erasure Cost and Reversible Computing 198LECTURE 18Horse Races and Stock Markets 213LECTURE 19Turing Machines and Algorithmic Information 226LECTURE 20Uncomputable Functions and Incompleteness 239LECTURE 21Qubits and Quantum Information 253LECTURE 22Quantum Cryptography via Entanglement 266LECTURE 23It from Bit: Physics from Information 281LECTURE 24The Meaning of Information 293
Sentient: How Animals Illuminate the Wonder of Our Human Senses
Jackie Higgins - 2021
Research has shown that the extraordinary sensory powers of our animal friends can help us better understand the same powers that lie dormant within us. From the harlequin mantis shrimp with its ability to see a vast range of colors, to the bloodhound and its hundreds of millions of scent receptors; from the orb-weaving spider whose eyes recognize not only space but time, to the cheetah whose ears are responsible for its perfect agility, these astonishing animals hold the key to better understanding how we make sense of the world around us. “An appealingly written, enlightening, and sometimes eerie journey into the extraordinary possibilities for the human senses” (Kirkus Reviews, starred), Sentient will change the way you look at humanity.
Origami Design Secrets: Mathematical Methods for an Ancient Art
Robert J. Lang - 2003
Lang, one of the worlds foremost origami artists and scientists, presents the never-before-described mathematical and geometric principles that allow anyone to design original origami, something once restricted to an elite few. From the theoretical underpinnings to detailed step-by-step folding sequences, this book takes a modern look at the centuries-old art of origami.
How to Drive: Real World Instruction and Advice from Hollywood's Top Driver
Ben Collins - 2016
And an absolute must for everyone with a learner's permit. Former Top Gear Stig and professional driver Ben Collins shares expert skills culled from a twenty year career as one of the best drivers in the world, famous for racing in the Le Mans series and NASCAR, piloting the Batmobile, and dodging bullets with James Bond. Refined over thousands of hours of elite-level performance in the physics of driving, his philosophy results in greater control and safer, more efficient and fun driving for all skill levels.
The Unreasonable Effectiveness of Mathematics in the Natural Sciences
Eugene Paul Wigner - 1959
In the paper, Wigner observed that the mathematical structure of a physical theory often points the way to further advances in that theory and even to empirical predictions.
Multivariable Calculus
James Stewart - 1991
In the Fourth Edition CALCULUS, EARLY TRANSCENDENTALS these functions are introduced in the first chapter and their limits and derivatives are found in Chapters 2 and 3 at the same time as polynomials and other elementary functions. In this Fourth Edition, Stewart retains the focus on problem solving, the meticulous accuracy, the patient explanations, and the carefully graded problems that have made these texts word so well for a wide range of students. All new and unique features in CALCULUS, FOURTH EDITION have been incorporated into these revisions also.
Machine Learning: A Probabilistic Perspective
Kevin P. Murphy - 2012
Machine learning provides these, developing methods that can automatically detect patterns in data and then use the uncovered patterns to predict future data. This textbook offers a comprehensive and self-contained introduction to the field of machine learning, based on a unified, probabilistic approach.The coverage combines breadth and depth, offering necessary background material on such topics as probability, optimization, and linear algebra as well as discussion of recent developments in the field, including conditional random fields, L1 regularization, and deep learning. The book is written in an informal, accessible style, complete with pseudo-code for the most important algorithms. All topics are copiously illustrated with color images and worked examples drawn from such application domains as biology, text processing, computer vision, and robotics. Rather than providing a cookbook of different heuristic methods, the book stresses a principled model-based approach, often using the language of graphical models to specify models in a concise and intuitive way. Almost all the models described have been implemented in a MATLAB software package—PMTK (probabilistic modeling toolkit)—that is freely available online. The book is suitable for upper-level undergraduates with an introductory-level college math background and beginning graduate students.
Elements of Programming
Alexander Stepanov - 2009
And then we wonder why software is notorious for being delivered late and full of bugs, while other engineers routinely deliver finished bridges, automobiles, electrical appliances, etc., on time and with only minor defects. This book sets out to redress this imbalance. Members of my advanced development team at Adobe who took the course based on the same material all benefited greatly from the time invested. It may appear as a highly technical text intended only for computer scientists, but it should be required reading for all practicing software engineers." --Martin Newell, Adobe Fellow"The book contains some of the most beautiful code I have ever seen." --Bjarne Stroustrup, Designer of C++"I am happy to see the content of Alex's course, the development and teaching of which I strongly supported as the CTO of Silicon Graphics, now available to all programmers in this elegant little book." --Forest Baskett, General Partner, New Enterprise Associates"Paul's patience and architectural experience helped to organize Alex's mathematical approach into a tightly-structured edifice--an impressive feat!" --Robert W. Taylor, Founder of Xerox PARC CSL and DEC Systems Research Center Elements of Programming provides a different understanding of programming than is presented elsewhere. Its major premise is that practical programming, like other areas of science and engineering, must be based on a solid mathematical foundation. The book shows that algorithms implemented in a real programming language, such as C++, can operate in the most general mathematical setting. For example, the fast exponentiation algorithm is defined to work with any associative operation. Using abstract algorithms leads to efficient, reliable, secure, and economical software.This is not an easy book. Nor is it a compilation of tips and tricks for incremental improvements in your programming skills. The book's value is more fundamental and, ultimately, more critical for insight into programming. To benefit fully, you will need to work through it from beginning to end, reading the code, proving the lemmas, and doing the exercises. When finished, you will see how the application of the deductive method to your programs assures that your system's software components will work together and behave as they must.The book presents a number of algorithms and requirements for types on which they are defined. The code for these descriptions--also available on the Web--is written in a small subset of C++ meant to be accessible to any experienced programmer. This subset is defined in a special language appendix coauthored by Sean Parent and Bjarne Stroustrup.Whether you are a software developer, or any other professional for whom programming is an important activity, or a committed student, you will come to understand what the book's experienced authors have been teaching and demonstrating for years--that mathematics is good for programming, and that theory is good for practice.
On Formally Undecidable Propositions of Principia Mathematica and Related Systems
Kurt Gödel - 1992
Kurt Giidel maintained, and offered detailed proof, that in any arithmetic system, even in elementary parts of arithmetic, there are propositions which cannot be proved or disproved within the system. It is thus uncertain that the basic axioms of arithmetic will not give rise to contradictions. The repercussions of this discovery are still being felt and debated in 20th-century mathematics.The present volume reprints the first English translation of Giidel's far-reaching work. Not only does it make the argument more intelligible, but the introduction contributed by Professor R. B. Braithwaite (Cambridge University}, an excellent work of scholarship in its own right, illuminates it by paraphrasing the major part of the argument.This Dover edition thus makes widely available a superb edition of a classic work of original thought, one that will be of profound interest to mathematicians, logicians and anyone interested in the history of attempts to establish axioms that would provide a rigorous basis for all mathematics. Translated by B. Meltzer, University of Edinburgh. Preface. Introduction by R. B. Braithwaite.
What Does This Look Like in the Classroom?: Bridging the Gap Between Research and Practice
Carl Hendrick - 2017
But every year thousands of research papers are published, some of which contradict each other. How can busy teachers know which research is worth investing time in reading and understanding? And how easily is that academic research translated into excellent practice in the classroom?In this thorough, enlightening and comprehensive book, Carl Hendrick and Robin Macpherson ask 18 of today's leading educational thinkers to distill the most up-to-date research into effective classroom practice in 10 of the most important areas of teaching. The result is a fascinating manual that will benefit every single teacher in every single school, in all four corners of the globe.Contributors: Assessment, marking & feedback: Dylan Wiliam & Daisy Christodoulou; Behaviour: Tom Bennett & Jill Berry; Classroom talk and questioning: Martin Robinson & Doug Lemov; Learning myths: David Didau & Pedro de Bruyckere; Motivation: Nick Rose & Lucy Crehan; Psychology and memory: Paul Kirschner & Yana Weinstein; SEN: Jarlath O Brien & Maggie Snowling; Technology: Jose Picardo & Neelam Parmar; Reading and literacy: Alex Quigley & Dianne Murphy