The Magic of Math: Solving for X and Figuring Out Why


Arthur T. Benjamin - 2015
    joyfully shows you how to make nature's numbers dance."--Bill Nye (the science guy)The Magic of Math is the math book you wish you had in school. Using a delightful assortment of examples-from ice-cream scoops and poker hands to measuring mountains and making magic squares-this book revels in key mathematical fields including arithmetic, algebra, geometry, and calculus, plus Fibonacci numbers, infinity, and, of course, mathematical magic tricks. Known throughout the world as the "mathemagician," Arthur Benjamin mixes mathematics and magic to make the subject fun, attractive, and easy to understand for math fan and math-phobic alike."A positively joyful exploration of mathematics."-Publishers Weekly, starred review"Each [trick] is more dazzling than the last."-Physics World

Just Six Numbers: The Deep Forces That Shape the Universe


Martin J. Rees - 1999
    There are deep connections between stars and atoms, between the cosmos and the microworld. Just six numbers, imprinted in the "big bang," determine the essential features of our entire physical world. Moreover, cosmic evolution is astonishingly sensitive to the values of these numbers. If any one of them were "untuned," there could be no stars and no life. This realization offers a radically new perspective on our universe, our place in it, and the nature of physical laws.

Linear Algebra


Stephen H. Friedberg - 1979
     This top-selling, theorem-proof text presents a careful treatment of the principal topics of linear algebra, and illustrates the power of the subject through a variety of applications. It emphasizes the symbiotic relationship between linear transformations and matrices, but states theorems in the more general infinite-dimensional case where appropriate.

Logicomix: An Epic Search for Truth


Apostolos Doxiadis - 2009
     This graphic novel recounts the spiritual odyssey of philosopher Bertrand Russell. In his agonized search for absolute truth, he crosses paths with thinkers like Gottlob Frege, David Hilbert & Kurt Gödel, & finds a passionate student in Ludwig Wittgenstein. But his most ambitious goal—to establish unshakable logical foundations of mathematics—continues to loom before him. Thru love & hate, peace & war, he persists in the mission threatening to claim both his career & happiness, finally driving him to the brink of insanity. This story is at the same time a historical novel & an accessible explication of some of the biggest ideas of mathematics & modern philosophy. With rich characterizations & atmospheric artwork, it spins the pursuit of such ideas into a satisfying tale. Probing, layered, the book throws light on Russell’s inner struggles while setting them in the context of the timeless questions he tried to answer. At its heart, Logicomix is a story about the conflict between ideal rationality & the flawed fabric of reality.

Indiscrete Thoughts


Gian-Carlo Rota - 1996
    The era covered by this book, 1950 to 1990, was surely one of the golden ages of science as well as the American university.Cherished myths are debunked along the way as Gian-Carlo Rota takes pleasure in portraying, warts and all, some of the great scientific personalities of the period Stanislav Ulam (who, together with Edward Teller, signed the patent application for the hydrogen bomb), Solomon Lefschetz (Chairman in the 50s of the Princeton mathematics department), William Feller (one of the founders of modern probability theory), Jack Schwartz (one of the founders of computer science), and many others.Rota is not afraid of controversy. Some readers may even consider these essays indiscreet. After the publication of the essay "The Pernicious Influence of Mathematics upon Philosophy" (reprinted six times in five languages) the author was blacklisted in analytical philosophy circles. Indiscrete Thoughts should become an instant classic and the subject of debate for decades to come."Read Indiscrete Thoughts for its account of the way we were and what we have become; for its sensible advice and its exuberant rhetoric."--The Mathematical Intelligencer"Learned, thought-provoking, politically incorrect, delighting in paradox, and likely to offend but everywhere readable and entertaining."--The American Mathematical Monthly"It is about mathematicians, the way they think, and the world in which the live. It is 260 pages of Rota calling it like he sees it... Readers are bound to find his observations amusing if not insightful. Gian-Carlo Rota has written the sort of book that few mathematicians could write. What will appeal immediately to anyone with an interest in research mathematics are the stories he tells about the practice of modern mathematics."--MAA Reviews"

Who Got Einstein's Office? Eccentricity and Genius at the Institute for Advanced Study


Ed Regis - 1987
    Robert Oppenheimer rode out his political persecution in the Director's mansion. It is the Institute for Advanced Study in Princeton, New Jersey; at one time or another, home to fourteen Nobel laureates, most of the great physicists and mathematicians of the modern era, and two of the most exciting developments in twentieth-century science—cellular automata and superstrings.Who Got Einstein's Office? tells for the first time the story of this secretive institution and of its fascinating personalities.

Introductory Linear Algebra: An Applied First Course


Bernard Kolman - 1988
    Calculus is not a prerequisite, although examples and exercises using very basic calculus are included (labeled Calculus Required.) The most technology-friendly text on the market, Introductory Linear Algebra is also the most flexible. By omitting certain sections, instructors can cover the essentials of linear algebra (including eigenvalues and eigenvectors), to show how the computer is used, and to introduce applications of linear algebra in a one-semester course.

Algebra II For Dummies


Mary Jane Sterling - 2004
    To understand algebra is to possess the power to grow your skills and knowledge so you can ace your courses and possibly pursue further study in math. Algebra II For Dummies is the fun and easy way to get a handle on this subject and solve even the trickiest algebra problems. This friendly guide shows you how to get up to speed on exponential functions, laws of logarithms, conic sections, matrices, and other advanced algebra concepts. In no time you'll have the tools you need to:Interpret quadratic functions Find the roots of a polynomial Reason with rational functions Expose exponential and logarithmic functions Cut up conic sections Solve linear and non linear systems of equations Equate inequalities Simplifyy complex numbers Make moves with matrices Sort out sequences and sets This straightforward guide offers plenty of multiplication tricks that only math teachers know. It also profiles special types of numbers, making it easy for you to categorize them and solve any problems without breaking a sweat. When it comes to understanding and working out algebraic equations, Algebra II For Dummies is all you need to succeed!

The Amazing Story of Quantum Mechanics: A Math-Free Exploration of the Science that Made Our World


James Kakalios - 2010
    Using illustrations and examples from science fiction pulp magazines and comic books, The Amazing Story of Quantum Mechanics explains the fundamental principles of quantum mechanics that underlie the world we live in.Watch a Video

Math and the Mona Lisa: The Art and Science of Leonardo Da Vinci


Bülent Atalay - 2004
    Readers of The Da Vinci Code were given a glimpse of the mysterious connections between math, science, and Leonardo's art. Math and the Mona Lisa picks up where The Da Vinci Code left off, illuminating Leonardo's life and work to uncover connections that, until now, have been known only to scholars.Following Leonardo's own unique model, Atalay searches for the internal dynamics of art and science, revealing to us the deep unity of the two cultures. He provides a broad overview of the development of science from the dawn of civilization to today's quantum mechanics. From this base of information, Atalay offers a fascinating view into Leonardo's restless intellect and modus operandi, allowing us to see the source of his ideas and to appreciate his art from a new perspective. William D. Phillips, who won the Nobel Prize in physics in 1997, writes of the author, "Atalay is indeed a modern renaissance man, and he invites us to tap the power of synthesis that is Leonardo's model."

The Quantum Astrologer's Handbook


Michael Brooks - 2017
    It resurrects from the vaults of neglect the polymath Jerome Cardano, a Milanese of the sixteenth century. Who is he? A gambler and blasphemer, inventor and chancer, plagued by demons and anxieties, astrologer to kings, emperors and popes. This stubborn and unworldly man was the son of a lawyer and a brothel keeper, but also a gifted physician and the unacknowledged discoverer of the mathematical foundations of quantum physics. That is the argument of this charming and intoxicatingly clever book, which is truly original in its style, and in the manner of the modernists embodies in its very form its theories about the world.'The Quantum Astrologer’s Handbook' is a science book with the panache of a novel, for readers of Carlo Rovelli or Umberto Eco. It is a work of and about genius.

A Most Dangerous Method: The Story of Jung, Freud & Sabina Spielrein


John Kerr - 1993
    Six years later they were bitter antagonists, locked in a savage struggle that was as much personal and emotional as it was theoretical and professional. Between them stood a young woman named Sabina Spielrein, who had been both patient and lover to Jung and colleague and confidante to Freud before going on to become an innovative psychoanalyst herself.A solid new interpretation of the short-lived but oft-analyzed collaboration between Freud and Jung, in which the mysterious Sabina Spielrein figures prominently. Using Spielrein's correspondence and journals--discovered in the 1970's and first appearing in Aldo Carotenuto's A Secret Symmetry (1982)--Kerr traces a fascinating, credible web of influence and cross-fertilized ideas that he weaves skillfully into a record of psychoanalytic history.

Mendeleyev's Dream


Paul Strathern - 2001
    The story of how we got from there to here is full of fascinating people, and in this elegant, entertaining book, Paul Strathern introduces us to ancient philosophers, medieval alchemists, and the earliest chemists-and to Dimitri Mendeleyev, the card-playing nineteenth-century Russian who claimed that the answers came to him in a dream. "Chemistry has been a neglected area of science writing, and Mendeleyev, the king of chemistry, is a largely forgotten genius. [This book] goes a long way toward correcting this injustice." (Simon Singh, author of Fermat's Last Theorem, in the Sunday Telegraph)

The Butchering Art: Joseph Lister's Quest to Transform the Grisly World of Victorian Medicine


Lindsey Fitzharris - 2017
    She conjures up early operating theaters--no place for the squeamish--and surgeons, working before anesthesia, who were lauded for their speed and brute strength. These medical pioneers knew that the aftermath of surgery was often more dangerous than their patients' afflictions, and they were baffled by the persistent infections that kept mortality rates stubbornly high. At a time when surgery couldn't have been more hazardous, an unlikely figure stepped forward: a young, melancholy Quaker surgeon named Joseph Lister, who would solve the deadly riddle and change the course of history.Fitzharris dramatically recounts Lister's discoveries in gripping detail, culminating in his audacious claim that germs were the source of all infection--and could be countered by antiseptics. Focusing on the tumultuous period from 1850 to 1875, she introduces us to Lister and his contemporaries--some of them brilliant, some outright criminal--and takes us through the grimy medical schools and dreary hospitals where they learned their art, the deadhouses where they studied anatomy, and the graveyards they occasionally ransacked for cadavers.Eerie and illuminating, The Butchering Art celebrates the triumph of a visionary surgeon whose quest to unite science and medicine delivered us into the modern world.

Travelling to Infinity


Jane Hawking - 1999
    In this compelling memoir, his first wife, Jane Hawking, relates the inside story of their extraordinary marriage. As Stephen's academic renown soared, his body was collapsing under the assaults of a motor neuron disease. Jane's candid account of trying to balance his 24-hour care with the needs of their growing family reveals the inner strength of the author, while the self-evident character and achievements of her husband make for an incredible tale presented with unflinching honesty. Jane's candor is no less apparent when the marriage finally ends in a high-profile meltdown, with Stephen leaving Jane for one of his nurses and Jane marrying an old family friend. In this exceptionally open, moving, and often funny memoir, Jane Hawking confronts not only the acutely complicated and painful dilemmas of her first marriage, but also the relationship's fault lines exposed by the pervasive effects of fame and wealth. The result is a book about optimism, love, and change that will resonate with readers everywhere.