Book picks similar to
Mathematical Understanding of Nature: Essays on Amazing Physical Phenomena and Their Understanding by Mathematicians by Vladimir I. Arnold
science
mathematics
physics
self-development
Dataclysm: Who We Are (When We Think No One's Looking)
Christian Rudder - 2014
In Dataclysm, Christian Rudder uses it to show us who we truly are. For centuries, we’ve relied on polling or small-scale lab experiments to study human behavior. Today, a new approach is possible. As we live more of our lives online, researchers can finally observe us directly, in vast numbers, and without filters. Data scientists have become the new demographers. In this daring and original book, Rudder explains how Facebook "likes" can predict, with surprising accuracy, a person’s sexual orientation and even intelligence; how attractive women receive exponentially more interview requests; and why you must have haters to be hot. He charts the rise and fall of America’s most reviled word through Google Search and examines the new dynamics of collaborative rage on Twitter. He shows how people express themselves, both privately and publicly. What is the least Asian thing you can say? Do people bathe more in Vermont or New Jersey? What do black women think about Simon & Garfunkel? (Hint: they don’t think about Simon & Garfunkel.) Rudder also traces human migration over time, showing how groups of people move from certain small towns to the same big cities across the globe. And he grapples with the challenge of maintaining privacy in a world where these explorations are possible. Visually arresting and full of wit and insight, Dataclysm is a new way of seeing ourselves—a brilliant alchemy, in which math is made human and numbers become the narrative of our time.
Die Empty: Unleash Your Best Work Every Day
Todd Henry - 2013
But sooner or later all of our tomorrows will run out. Each day that you postpone the hard work and succumb to the clutter that chokes creativity, discipline, and innovation will result in a net deficit to the world, to your company, and to yourself. Die Empty is a tool for individuals and companies that aren't willing to put off their best work. Todd Henry explains the forces that keep people in stagnation and introduces a three-part process for tapping into your passion: Excavate: Find the bedrock of your work to discover what drives you. Cultivate: Learn how to develop the curiosity, humility, and persistence that save you from getting stuck in ruts. Resonate: Learn how your unique brilliance can inspire others. Henry shows how to find and sustain your passion and curiosity, even in tough times.
Mathematical Methods for Physics and Engineering: A Comprehensive Guide
K.F. Riley - 1998
As well as lucid descriptions of all the topics and many worked examples, it contains over 800 exercises. New stand-alone chapters give a systematic account of the 'special functions' of physical science, cover an extended range of practical applications of complex variables, and give an introduction to quantum operators. Further tabulations, of relevance in statistics and numerical integration, have been added. In this edition, half of the exercises are provided with hints and answers and, in a separate manual available to both students and their teachers, complete worked solutions. The remaining exercises have no hints, answers or worked solutions and can be used for unaided homework; full solutions are available to instructors on a password-protected web site, www.cambridge.org/9780521679718.
The Clockwork Universe: Isaac Newton, the Royal Society, and the Birth of the Modern World
Edward Dolnick - 2011
A meld of history and science, this book is a group portrait of some of the greatest minds who ever lived as they wrestled with nature’s most sweeping mysteries. The answers they uncovered still hold the key to how we understand the world.At the end of the seventeenth century—an age of religious wars, plague, and the Great Fire of London—when most people saw the world as falling apart, these earliest scientists saw a world of perfect order. They declared that, chaotic as it looked, the universe was in fact as intricate and perfectly regulated as a clock. This was the tail end of Shakespeare’s century, when the natural land the supernatural still twined around each other. Disease was a punishment ordained by God, astronomy had not yet broken free from astrology, and the sky was filled with omens. It was a time when little was known and everything was new. These brilliant, ambitious, curious men believed in angels, alchemy, and the devil, and they also believed that the universe followed precise, mathematical laws—-a contradiction that tormented them and changed the course of history.The Clockwork Universe is the fascinating and compelling story of the bewildered geniuses of the Royal Society, the men who made the modern world.
Structure and Interpretation of Computer Programs
Harold Abelson - 1984
This long-awaited revision contains changes throughout the text. There are new implementations of most of the major programming systems in the book, including the interpreters and compilers, and the authors have incorporated many small changes that reflect their experience teaching the course at MIT since the first edition was published. A new theme has been introduced that emphasizes the central role played by different approaches to dealing with time in computational models: objects with state, concurrent programming, functional programming and lazy evaluation, and nondeterministic programming. There are new example sections on higher-order procedures in graphics and on applications of stream processing in numerical programming, and many new exercises. In addition, all the programs have been reworked to run in any Scheme implementation that adheres to the IEEE standard.
Turing's Vision: The Birth of Computer Science
Chris Bernhardt - 2016
This groundbreaking and powerful theory now forms the basis of computer science. In Turing's Vision, Chris Bernhardt explains the theory, Turing's most important contribution, for the general reader. Bernhardt argues that the strength of Turing's theory is its simplicity, and that, explained in a straightforward manner, it is eminently understandable by the nonspecialist. As Marvin Minsky writes, -The sheer simplicity of the theory's foundation and extraordinary short path from this foundation to its logical and surprising conclusions give the theory a mathematical beauty that alone guarantees it a permanent place in computer theory.- Bernhardt begins with the foundation and systematically builds to the surprising conclusions. He also views Turing's theory in the context of mathematical history, other views of computation (including those of Alonzo Church), Turing's later work, and the birth of the modern computer.In the paper, -On Computable Numbers, with an Application to the Entscheidungsproblem, - Turing thinks carefully about how humans perform computation, breaking it down into a sequence of steps, and then constructs theoretical machines capable of performing each step. Turing wanted to show that there were problems that were beyond any computer's ability to solve; in particular, he wanted to find a decision problem that he could prove was undecidable. To explain Turing's ideas, Bernhardt examines three well-known decision problems to explore the concept of undecidability; investigates theoretical computing machines, including Turing machines; explains universal machines; and proves that certain problems are undecidable, including Turing's problem concerning computable numbers.
TOEFL iBT: The Official ETS Study Guide (McGraw-Hill's TOEFL iBT)
Educational Testing Service - 2005
Edited by ETS, the people who make the test! Find out all about the new TOEFL Internet-based test; Get over 500 real TOEFL questiond and essay topics
Mathematics: The Core Course For A Level (Core Course)
Linda Bostock - 1981
Worked examples and exercises support the text. An ELBS/LPBB edition is available.
Harmonograph: A Visual Guide to the Mathematics of Music
Anthony Ashton - 1999
Harmonograph is an introduction to the evolution of simple harmonic theory, from the discoveries of Pythagoras to diatonic tuning and equal temperament. Beautiful drawings show the octave as triangle, the fifth as pentagram; diagrams show the principles of harmonics, overtones, and the monochord. Anthony Ashton examines the phenomenon of resonance in Chladni patterns, describes how to build a harmonograph of your own, and provides tables of world tuning systems. This inspiring book will appeal to musicians, mathematicians, designers, and artists alike.
All The Reminders You Need To Get You Through Anything In Life
Thought Catalog - 2016
These reminders cover all aspects of life: graduating, growing up, feeling lost, loving too much, struggling to find love, struggling to move on, trying to let go or going through a quarter life crisis. We all need uplifting reminders to keep us going and make us feel like we’re not alone. This book is more of a manual on how to navigate the hurdles of life and overcome them.
Musimathics: The Mathematical Foundations of Music, Volume 1
Gareth Loy - 2006
In "Musimathics," Loy teaches us the tune, providing a friendly and spirited tour of the mathematics of music -- a commonsense, self-contained introduction for the nonspecialist reader. It is designed for musicians who find their art increasingly mediated by technology, and for anyone who is interested in the intersection of art and science.In Volume 1, Loy presents the materials of music (notes, intervals, and scales); the physical properties of music (frequency, amplitude, duration, and timbre); the perception of music and sound (how we hear); and music composition. Calling himself "a composer seduced into mathematics," Loy provides answers to foundational questions about the mathematics of music accessibly yet rigorously. The examples given are all practical problems in music and audio.Additional material can be found at http: //www.musimathics.com.
Show Your Work!: 10 Ways to Share Your Creativity and Get Discovered
Austin Kleon - 2014
Now, in an even more forward-thinking and necessary book, he shows how to take that critical next step on a creative journey—getting known. Show Your Work! is about why generosity trumps genius. It’s about getting findable, about using the network instead of wasting time “networking.” It’s not self-promotion, it’s self-discovery—let others into your process, then let them steal from you. Filled with illustrations, quotes, stories, and examples, Show Your Work! offers ten transformative rules for being open, generous, brave, productive. In chapters such as You Don’t Have to Be a Genius; Share Something Small Every Day; and Stick Around, Kleon creates a user’s manual for embracing the communal nature of creativity— what he calls the “ecology of talent.” From broader life lessons about work (you can’t find your voice if you don’t use it) to the etiquette of sharing—and the dangers of oversharing—to the practicalities of Internet life (build a good domain name; give credit when credit is due), it’s an inspiring manifesto for succeeding as any kind of artist or entrepreneur in the digital age.
Thinking: The New Science of Decision-Making, Problem-Solving, and Prediction
John Brockman - 2013
Dennett on decoding the architecture of the "normal" human mindSarah-Jayne Blakemore on mental disorders and the crucial developmental phase of adolescenceJonathan Haidt, Sam Harris, and Roy Baumeister on the science of morality, ethics, and the emerging synthesis of evolutionary and biological thinkingGerd Gigerenzer on rationality and what informs our choices
Deep Learning
Ian Goodfellow - 2016
Because the computer gathers knowledge from experience, there is no need for a human computer operator to formally specify all the knowledge that the computer needs. The hierarchy of concepts allows the computer to learn complicated concepts by building them out of simpler ones; a graph of these hierarchies would be many layers deep. This book introduces a broad range of topics in deep learning.The text offers mathematical and conceptual background, covering relevant concepts in linear algebra, probability theory and information theory, numerical computation, and machine learning. It describes deep learning techniques used by practitioners in industry, including deep feedforward networks, regularization, optimization algorithms, convolutional networks, sequence modeling, and practical methodology; and it surveys such applications as natural language processing, speech recognition, computer vision, online recommendation systems, bioinformatics, and videogames. Finally, the book offers research perspectives, covering such theoretical topics as linear factor models, autoencoders, representation learning, structured probabilistic models, Monte Carlo methods, the partition function, approximate inference, and deep generative models.Deep Learning can be used by undergraduate or graduate students planning careers in either industry or research, and by software engineers who want to begin using deep learning in their products or platforms. A website offers supplementary material for both readers and instructors.
Quantum Theory
David Bohm - 1951
Although it presents the main ideas of quantum theory essentially in nonmathematical terms, it follows these with a broad range of specific applications that are worked out in considerable mathematical detail. Addressed primarily to advanced undergraduate students, the text begins with a study of the physical formulation of the quantum theory, from its origin and early development through an analysis of wave vs. particle properties of matter. In Part II, Professor Bohm addresses the mathematical formulation of the quantum theory, examining wave functions, operators, Schrödinger's equation, fluctuations, correlations, and eigenfunctions.Part III takes up applications to simple systems and further extensions of quantum theory formulation, including matrix formulation and spin and angular momentum. Parts IV and V explore the methods of approximate solution of Schrödinger's equation and the theory of scattering. In Part VI, the process of measurement is examined along with the relationship between quantum and classical concepts.Throughout the text, Professor Bohm places strong emphasis on showing how the quantum theory can be developed in a natural way, starting from the previously existing classical theory and going step by step through the experimental facts and theoretical lines of reasoning which led to replacement of the classical theory by the quantum theory.