Love and Math: The Heart of Hidden Reality


Edward Frenkel - 2013
    In this heartfelt and passionate book, Frenkel shows that mathematics, far from occupying a specialist niche, goes to the heart of all matter, uniting us across cultures, time, and space.Love and Math tells two intertwined stories: of the wonders of mathematics and of one young man’s journey learning and living it. Having braved a discriminatory educational system to become one of the twenty-first century’s leading mathematicians, Frenkel now works on one of the biggest ideas to come out of math in the last 50 years: the Langlands Program. Considered by many to be a Grand Unified Theory of mathematics, the Langlands Program enables researchers to translate findings from one field to another so that they can solve problems, such as Fermat’s last theorem, that had seemed intractable before.At its core, Love and Math is a story about accessing a new way of thinking, which can enrich our lives and empower us to better understand the world and our place in it. It is an invitation to discover the magic hidden universe of mathematics.

Deep Future


Stephen Baxter - 1985
    Along the way Stephen Baxter looks at our place in the universe, considers the possibility that we are in fact alone, and wonders whether that fact gives us the right to inherit everything. He also looks at how we might strive to overcome the limitations of the physical universe and win the deepest future. Stephen Baxter has brought his trademark narrative flair and imaginative brilliance to the latest ideas in physics and cosmology and produced a breathtaking guide to our possible futures.

The Neptune File: A Story of Astronomical Rivalry and the Pioneers of Planet Hunting


Tom Standage - 2000
    Now in paperback, The Neptune File is the first account of the dramatic events surrounding the discovery of the solar system's eighth planet, and the story of two men who were able to see on paper what astronomers looking through telescopes for 200 years did not.

Mars Direct: Space Exploration, the Red Planet, and the Human Future: A Special from Tarcher/Penguin


Robert Zubrin - 2013
    In the coming years, we will make decisions regarding our human spaceflight program that will lead to one of two familiar futures: the open universe of "Star Trek, "where we allow ourselves the opportunity to spread our wings and attempt to flourish as an interplanetary species--or the closed, dystopian, and ultimately self-destructive world of "Soylent Green." If we ever hope to live in the future that is the former scenario, our first stepping stone must be a manned mission to Mars. In this four-part e-special, Dr. Robert Zubrin details the challenges of a manned Earth-to-Mars mission. Challenges which, according to Zubrin, we are technologically more prepared to overcome than the obstacles of the missions to the moon of the sixties and seventies. Dr. Zubrin's relatively simple plan, called Mars Direct, could feasibly have humans on the surface of Mars within a decade. Zubrin also discusses the current predicament of NASA, the promise of privatized space flight from companies like SpaceX, and the larger implication behind the absolute necessity to open the final frontier to humanity--the human race's future as a species that takes the necessary baby steps away from the cradle that is planet Earth or, ultimately, perishes here.

Hubble: The Mirror on the Universe


Robin Kerrod - 2003
    Hubble uses hundreds of the latest, most spectacular images from the HST to illustrate a comprehensive astronomy reference. Stargazers will be astonished to see in color pictures what were once fuzzy photographs, dots on a star map or words in a textbook.Hubble explains how new discoveries are revising scientific understanding of the Universe. Detailed images of the Eagle Nebula show several fingers rising above a massive gas cloud. At the end of each fingertip -- the width of our solar system -- is the birth of a star.The book covers the observable universe in six sections:Stars in the Firmament Stellar Death and Destruction Gregarious Galaxies The Expansive Universe Solar Systems The Heavenly Wanderers Clear and concise text explains the fascinating history of astronomy and the development of the HST. Hubble transports readers to the planets of our solar system and on to galaxies millions -- even billions -- of light years away. These dramatic, unforgettable images will bring into sharp focus how the Universe is unfolding in new and astonishing ways.

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.

The Quantum Novels: Books 1-7


Marie Force - 2019
    A boxed set of the first seven books in the New York Times bestselling Quantum Series: Virtuous, Valorous, Victorious, Rapturous, Ravenous, Delirious and Outrageous! Watch for Famous, the final book in the series, out in October 2019.

Longitude: The True Story of a Lone Genius Who Solved the Greatest Scientific Problem of His Time


Dava Sobel - 1995
    Lacking the ability to measure their longitude, sailors throughout the great ages of exploration had been literally lost at sea as soon as they lost sight of land. Thousands of lives, and the increasing fortunes of nations, hung on a resolution.The scientific establishment of Europe—from Galileo to Sir Issac Newton—had mapped the heavens in both hemispheres in its certain pursuit of a celestial answer. In stark contrast, one man, John Harrison, dared to imagine a mechanical solution—a clock that would keep precise time at sea, something no clock had ever been able to do on land. Longitude is a dramatic human story of an epic scientific quest and Harrison's forty-year obsession with building his perfect timekeeper, known today as the chronometer. Full of heroism and chicanery, it is also a fascinating brief history of astronomy, navigation, and clock-making, and opens a new window on our world.On its 10th anniversary, a gift edition of this classic book, with a forward by one of history's greatest explorers, and eight pages of color illustrations.

Introduction to Fluid Mechanics [With CDROM]


Robert W. Fox - 2003
    This new edition simplifies many of the steps involved in analysis by using the computer application Excel. Over 100 detailed example problems illustrate important fluid mechanics concepts: Approximately 1300 end-of-chapter problems are arranged by difficulty level and include many problems that are designed to be solved using Excel. The CD for the book includes: A Brief Review of Microsoft Excel and numerous Excel files for the example problems and for use in solving problems. The new edition includes an expanded discussion of pipe networks, and a new section on oblique shocks and expansion waves.

Discovering the Universe [with CD-ROM]


Neil F. Comins - 1984
    The accompanying CD-ROM features a special student version of the award-winning virtual planetarium software Starry Night plus software animations and videos, all illustrations from the text, interactive Q&A and exercises, and supplementary resources. Material can be updated periodically from the Freeman Web site. www.whfreeman.com/astronomy. There is an online study guide offering a CD-Web guide, chapter objectives, key terms, review questions, Starry Night observations exercises and online tutorials.

Mathematical Circles: Russian Experience (Mathematical World, Vol. 7)


Dmitri Fomin - 1996
    The work is predicated on the idea that studying mathematics can generate the same enthusiasm as playing a team sport - without necessarily being competitive.

Einstein's Heroes: Imagining the World Through the Language of Mathematics


Robyn Arianrhod - 2004
    Einstein's Heroes takes you on a journey of discovery about just such a miraculous language--the language of mathematics--one of humanity's mostamazing accomplishments. Blending science, history, and biography, this remarkable book reveals the mysteries of mathematics, focusing on the life and work of three of Albert Einstein's heroes: Isaac Newton, Michael Faraday, and especially James Clerk Maxwell, whose work directly inspired the theory of relativity. RobynArianrhod bridges the gap between science and literature, portraying mathematics as a language and arguing that a physical theory is a work of imagination involving the elegant and clever use of this language. The heart of the book illuminates how Maxwell, using the language of mathematics in a newand radical way, resolved the seemingly insoluble controversy between Faraday's idea of lines of force and Newton's theory of action-at-a-distance. In so doing, Maxwell not only produced the first complete mathematical description of electromagnetism, but actually predicted the existence of theradio wave, teasing it out of the mathematical language itself. Here then is a fascinating look at mathematics: its colorful characters, its historical intrigues, and above all its role as the uncannily accurate language of nature.

When Einstein Walked with Gödel: Excursions to the Edge of Thought


Jim Holt - 2018
    With his trademark clarity and humor, Holt probes the mysteries of quantum mechanics, the quest for the foundations of mathematics, and the nature of logic and truth. Along the way, he offers intimate biographical sketches of celebrated and neglected thinkers, from the physicist Emmy Noether to the computing pioneer Alan Turing and the discoverer of fractals, Benoit Mandelbrot. Holt offers a painless and playful introduction to many of our most beautiful but least understood ideas, from Einsteinian relativity to string theory, and also invites us to consider why the greatest logician of the twentieth century believed the U.S. Constitution contained a terrible contradiction--and whether the universe truly has a future.

The Math Book: From Pythagoras to the 57th Dimension, 250 Milestones in the History of Mathematics


Clifford A. Pickover - 2009
    Beginning millions of years ago with ancient “ant odometers” and moving through time to our modern-day quest for new dimensions, it covers 250 milestones in mathematical history. Among the numerous delights readers will learn about as they dip into this inviting anthology: cicada-generated prime numbers, magic squares from centuries ago, the discovery of pi and calculus, and the butterfly effect. Each topic gets a lavishly illustrated spread with stunning color art, along with formulas and concepts, fascinating facts about scientists’ lives, and real-world applications of the theorems.

Infinite Powers: How Calculus Reveals the Secrets of the Universe


Steven H. Strogatz - 2019
    We wouldn’t have unraveled DNA or discovered Neptune or figured out how to put 5,000 songs in your pocket. Though many of us were scared away from this essential, engrossing subject in high school and college, Steven Strogatz’s brilliantly creative, down‑to‑earth history shows that calculus is not about complexity; it’s about simplicity. It harnesses an unreal number—infinity—to tackle real‑world problems, breaking them down into easier ones and then reassembling the answers into solutions that feel miraculous. Infinite Powers recounts how calculus tantalized and thrilled its inventors, starting with its first glimmers in ancient Greece and bringing us right up to the discovery of gravitational waves (a phenomenon predicted by calculus). Strogatz reveals how this form of math rose to the challenges of each age: how to determine the area of a circle with only sand and a stick; how to explain why Mars goes “backwards” sometimes; how to make electricity with magnets; how to ensure your rocket doesn’t miss the moon; how to turn the tide in the fight against AIDS. As Strogatz proves, calculus is truly the language of the universe. By unveiling the principles of that language, Infinite Powers makes us marvel at the world anew.