Gallery of the Infinite is a mathematician's unique view of the infinitely many sizes of infinity. Written in a playful yet informative style, it introduces important concepts from set theory (including the Cantor Diagonalization Method and the Cantor-Bernstein Theorem) using colorful pictures, with little text and almost no formulas. It requires no specialized background and is suitable for anyone with an interest in the infinite, from advanced middle-school students to inquisitive adults.

Mathematics professor from Brown University uses colorful illustrations and cartoons to display the concepts of infinity and large numbers.

A witty, conversational, and accessible tour of math's profoundest mysteries. Mathematical symbols, for mathematicians, store worlds of meaning, leap continents and centuries. But we need not master symbols to grasp the magnificent abstractions they represent, and to which all art aspires. Through language, anyone can come to delight in the works of mathematical art, which are among our kind's greatest glories. Taking the concept of infinity, in its countless guises, as a starting point and a helpful touchstone, the founders of Harvard's pioneering Math Circle program Robert and Ellen Kaplan guide us through the “Republic of Numbers,” where we meet both its upstanding citizens and its more shadowy dwellers, explore realms where only the imagination can go, and grapple with math's most profound uncertainties, including the question of truth itself-do we discover mathematical principles, or invent them?

It is easy to be wary of mathematics - but as this book shows, drawing on science, literature and philosophy, its patterns are evrywhere. In witty and eloquent prose, Robert and Ellen Kaplan take mathematics back to its estranged audience, bringing understanding and clarity to a traditionally difficult subject, and revealing the beauty behind the equations. Only by letting loose our curiosity can we learn to appreciate the wonder that can be found in mathematics - an 'art' invented by humans, which is also timeless.

A journey to the International Space Station: the making of the biggest media project ever filmed in orbit. The Infinite documents the making of the ground-breaking immersive VR experience shot entirely aboard the International Space Station. Artists and astronauts joined forces to capture life in the cosmos as never before. In this oversize publication, brand-new views of space and stunning production shots reveal the human imagination's limitless potential. In Summer 2021, PHI and EMMY(R) Award-winning digital entertainment pioneers Felix & Paul Studios will launch the public into an infinite universe. A ground-breaking immersive VR exhibition will enable the audience to visit the ISS, where they encounter experiments, zero-gravity living, and breathtaking spacewalks. Beautifully designed, The Infinite features interviews with leaders in VR and contemporary art. It perfectly complements the exhibition's role in rendering the innovation and collaboration in humanity's quest for the skies.

This is the captivating story of mathematics' greatest ever idea: calculus. Without it, there would be no computers, no microwave ovens, no GPS, and no space travel. But before it gave modern man almost infinite powers, calculus was behind centuries of controversy, competition, and even death. Taking us on a thrilling journey through three millennia, professor Steven Strogatz charts the development of this seminal achievement from the days of Aristotle to today's million-dollar reward that awaits whoever cracks Reimann's hypothesis. Filled with idiosyncratic characters from Pythagoras to Euler, Infinite Powers is a compelling human drama that reveals the legacy of calculus on nearly every aspect of modern civilization, including science, politics, ethics, philosophy, and much besides.

A landmark in jazz studies, Thinking in Jazz reveals as never before how musicians, both individually and collectively, learn to improvise. Chronicling leading musicians from their first encounters with jazz to the development of a unique improvisatory voice, Paul Berliner documents the lifetime of preparation that lies behind the skilled improviser's every idea. The product of more than fifteen years of immersion in the jazz world, Thinking in Jazz combines participant observation with detailed musicological analysis, the author's experience as a jazz trumpeter, interpretations of published material by scholars and performers, and, above all, original data from interviews with more than fifty professional musicians: bassists George Duvivier and Rufus Reid; drummers Max Roach, Ronald Shannon Jackson, and Akira Tana; guitarist Emily Remler; pianists Tommy Flanagan and Barry Harris; saxophonists Lou Donaldson, Lee Konitz, and James Moody; trombonist Curtis Fuller; trumpeters Doc Cheatham, Art Farmer, Wynton Marsalis, and Red Rodney; vocalists Carmen Lundy and Vea Williams; and others. Together, the interviews provide insight into the production of jazz by great artists like Betty Carter, Miles Davis, Dizzy Gillespie, Coleman Hawkins, and Charlie Parker. Thinking in Jazz overflows with musical examples from the 1920s to the present, including original transcriptions (keyed to commercial recordings) of collective improvisations by Miles Davis's and John Coltrane's groups. These transcriptions provide additional insight into the structure and creativity of jazz improvisation and represent a remarkable resource for jazz musicians as well as students and educators. Berliner explores the alternative ways—aural, visual, kinetic, verbal, emotional, theoretical, associative—in which these performers conceptualize their music and describes the delicate interplay of soloist and ensemble in collective improvisation. Berliner's skillful integration of data concerning musical development, the rigorous practice and thought artists devote to jazz outside of performance, and the complexities of composing in the moment leads to a new understanding of jazz improvisation as a language, an aesthetic, and a tradition. This unprecedented journey to the heart of the jazz tradition will fascinate and enlighten musicians, musicologists, and jazz fans alike.