From 0 to Infinity in 26 Centuries: The Extraordinary Story of Maths


Chris Waring - 2012
    Book by Waring, Chris

How Music Can Make You Better


Indre Viskontas - 2019
    It is packed with fascinating information that I didn't know... I shall give it to lots of friends." —Jonathan Lynn, comedy legendA fascinating field guide from neuroscientist and opera singer Indre Viskontas that investigates what music is and how it can change us for the better—from deep in our neurons to across our entire society. Learn how certain songs carry us through a tough workout, comfort us after a breakup, or unite 50,000 diverse fans. A vibrant and smart gift for any audiophile—hip-hop fans, classically trained pianists, or vinyl collectors—readers will think about their favorite songs in a whole new way by the end of this book. • Find out how your mind transforms sounds into human experiences• Discover how music connects us, heals us, and changes us for the better • Learn from renowned musicians, neuroscientists, and authors"Indre Viskontas, combining her deep knowledge of neuroscience and music, has lifted the veil on the mysterious effects of music to move us, showing us not only how the human brain creates the magical patterns of music but also why music has the power to affect us like no other form of communication. An extremely important and inspiring book." —Robert Greene, best-selling author of The 48 Laws of PowerReaders of How Poetry Can Change Your Heartor The Psychology of Music will love this book• Music lovers and audiophiles• Musicians • Anyone interested in neuroscience

The Universe and the Teacup: The Mathematics of Truth and Beauty


K.C. Cole - 1998
    In The Universe and the Teacup, K. C. Cole demystifies mathematics and shows us-with humor and wonderfully accessible stories-why math need not be frightening. Using the O. J. Simpson trial, the bell curve, and Emmy Noether, the nineteenth-century woman scientist whose work was essential for Einstein's theory of relativity, Cole helps us see that more than just being a tool, math is a key to understanding the beauty of everything from rainbows to relativity.

Euclid's Window: The Story of Geometry from Parallel Lines to Hyperspace


Leonard Mlodinow - 2001
    Here is an altogether new, refreshing, alternative history of math revealing how simple questions anyone might ask about space -- in the living room or in some other galaxy -- have been the hidden engine of the highest achievements in science and technology. Based on Mlodinow's extensive historical research; his studies alongside colleagues such as Richard Feynman and Kip Thorne; and interviews with leading physicists and mathematicians such as Murray Gell-Mann, Edward Witten, and Brian Greene, Euclid's Window is an extraordinary blend of rigorous, authoritative investigation and accessible, good-humored storytelling that makes a stunningly original argument asserting the primacy of geometry. For those who have looked through Euclid's Window, no space, no thing, and no time will ever be quite the same.

The Mathematical Theory of Communication


Claude Shannon - 1949
    Republished in book form shortly thereafter, it has since gone through four hardcover and sixteen paperback printings. It is a revolutionary work, astounding in its foresight and contemporaneity. The University of Illinois Press is pleased and honored to issue this commemorative reprinting of a classic.

King of Infinite Space: Donald Coxeter, the Man Who Saved Geometry


Siobhan Roberts - 2006
    Yet geometry is so much more than shapes and numbers; indeed, it governs much of our lives—from architecture and microchips to car design, animated movies, the molecules of food, even our own body chemistry. And as Siobhan Roberts elegantly conveys in The King of Infinite Space, there can be no better guide to the majesty of geometry than Donald Coxeter, perhaps the greatest geometer of the twentieth century.Many of the greatest names in intellectual history—Pythagoras, Plato, Archimedes, Euclid— were geometers, and their creativity and achievements illuminate those of Coxeter, revealing geometry to be a living, ever-evolving endeavor, an intellectual adventure that has always been a building block of civilization. Coxeter's special contributions—his famed Coxeter groups and Coxeter diagrams—have been called by other mathematicians "tools as essential as numbers themselves," but his greatest achievement was to almost single-handedly preserve the tradition of classical geometry when it was under attack in a mathematical era that valued all things austere and rational.Coxeter also inspired many outside the field of mathematics. Artist M. C. Escher credited Coxeter with triggering his legendary Circle Limit patterns, while futurist/inventor Buckminster Fuller acknowledged that his famed geodesic dome owed much to Coxeter's vision. The King of Infinite Space is an elegant portal into the fascinating, arcane world of geometry.

Liquid Rules: The Delightful and Dangerous Substances That Flow Through Our Lives


Mark Miodownik - 2018
    Structured around a plane journey that sees encounters with substances from water and glue to coffee and wine, Liquid Rules shows how these liquids can bring death and destruction as well as wonder and fascination.From László Bíró's revolutionary pen and Abraham Gesner's kerosene to cutting-edge research on self-repairing roads and liquid computers, Miodownik uses his winning formula of scientific storytelling to bring the everyday to life. He reveals why liquids can flow up a tree but down a hill, why oil is sticky, how waves can travel so far, and how to make the perfect cup of tea. Here are the secret lives of substances.

Calculus


Ron Larson - 1999
    It has been widely praised by a generation of users for its solid and effective pedagogy that addresses the needs of a broad range of teaching and learning styles and environments. Each title is just one component in a comprehensive calculus course program that carefully integrates and coordinates print, media, and technology products for successful teaching and learning.

Your Place in the Universe: Understanding Our Big, Messy Existence


Paul M. Sutter - 2018
    Sutter emphasizes how amazing it is that we are part of such a huge, complex, and mysterious place. Through metaphors and uncomplicated language, Sutter breathes life into the science of astrophysics, unveiling how particles, forces, and fields interplay to create the greatest of cosmic dramas. Touched with the author's characteristic breezy, conversational style--which has made him a breakout hit on venues such as The Weather Channel, the Science Channel, and his own popular Ask a Spaceman! podcast--he conveys the fun and wonder of delving deeply into the physical processes of the natural universe. He weaves together the past and future histories of our universe with grounded descriptions of essential modern-day physics as well as speculations based on the latest research in cosmology. Topics include our place in the Milky Way galaxy; the cosmic web--a vast web-like pattern in which galaxies are arranged; the origins of our universe in the big bang; the mysteries of dark matter and dark energy; how science has dramatically changed our relationship to the cosmos; conjectures about the future of reality as we know it; and more.For anyone who has ever stared at the starry night sky and wondered how we humans on Earth fit into the big picture, this book is an essential roadmap.

The Cartoon Guide to Physics


Larry Gonick - 1990
    Physics will never be the same!

A Brief History of Mathematical Thought: Key concepts and where they come from


Luke Heaton - 2015
    In A Brief History of Mathematical Thought, Luke Heaton explores how the language of mathematics has evolved over time, enabling new technologies and shaping the way people think. From stone-age rituals to algebra, calculus, and the concept of computation, Heaton shows the enormous influence of mathematics on science, philosophy and the broader human story. The book traces the fascinating history of mathematical practice, focusing on the impact of key conceptual innovations. Its structure of thirteen chapters split between four sections is dictated by a combination of historical and thematic considerations. In the first section, Heaton illuminates the fundamental concept of number. He begins with a speculative and rhetorical account of prehistoric rituals, before describing the practice of mathematics in Ancient Egypt, Babylon and Greece. He then examines the relationship between counting and the continuum of measurement, and explains how the rise of algebra has dramatically transformed our world. In the second section, he explores the origins of calculus and the conceptual shift that accompanied the birth of non-Euclidean geometries. In the third section, he examines the concept of the infinite and the fundamentals of formal logic. Finally, in section four, he considers the limits of formal proof, and the critical role of mathematics in our ongoing attempts to comprehend the world around us. The story of mathematics is fascinating in its own right, but Heaton does more than simply outline a history of mathematical ideas. More importantly, he shows clearly how the history and philosophy of maths provides an invaluable perspective on human nature.

The Cartoon Introduction to Statistics


Grady Klein - 2013
    Employing an irresistible cast of dragon-riding Vikings, lizard-throwing giants, and feuding aliens, the renowned illustrator Grady Klein and the award-winning statistician Alan Dabney teach you how to collect reliable data, make confident statements based on limited information, and judge the usefulness of polls and the other numbers that you're bombarded with every day. If you want to go beyond the basics, they've created the ultimate resource: "The Math Cave," where they reveal the more advanced formulas and concepts.Timely, authoritative, and hilarious, The Cartoon Introduction to Statistics is an essential guide for anyone who wants to better navigate our data-driven world.