Labyrinths of Reason: Paradox, Puzzles and the Frailty of Knowledge


William Poundstone - 1988
    This sharply intelligent, consistently provocative book takes the reader on an astonishing, thought-provoking voyage into the realm of delightful uncertainty--a world of paradox in which logical argument leads to contradiction and common sense is seemingly rendered irrelevant.

I Have Landed: The End of a Beginning in Natural History


Stephen Jay Gould - 2002
    Both an intellectually thrilling journey into the nature of scientific discovery and the most personal book he has ever published, I Have Landed marks the end of a significant chapter in the career of one of the most acclaimed and widely read scientists of our time. Gould writes about the themes that have defined his career, which his readers have come to expect and celebrate, casting new light upon them and conveying the ideas that science professionals exchange among themselves (minus the technical jargon). Here, of course, is Charles Darwin, from his centrality to any sound scientific education to little-known facts about his life. Gould touches on subjects as far-reaching and disparate as feathered dinosaurs, the scourge of syphilis and the frustration of the man who identified it, and Freud's "evolutionary fantasy." He writes brilliantly of Nabokov's delicately crafted drawings of butterflies and the true meaning of biological diversity. And in the poignant title essay, he details his grandfather's journey from Hungary to America, where he arrived on September 11, 1901. It is from his grandfather's journal entry of that day, stating simply "I have landed," that the book's title was drawn. This landing occurred 100 years to the day before our greatest recent tragedy, also explored, but with optimism, in the concluding section of the book. Presented in eight parts, I Have Landed begins with a remembrance of a moment of wonder from childhood. In Part II, Gould explains that humanistic disciplines are not antithetical to theoretical or applied sciences. Rather, they often share a commonality of method and motivation, with great potential to enhance the achievements of each other, an assertion perfectly supported by essays on such notables as Nabokov and Frederic Church. Part III contains what no Gould collection would be complete without: his always compelling "mini intellectual biographies," which render each subject and his work deserving of reevaluation and renewed significance. In this collection of figures compelling and strange, Gould exercises one of his greatest strengths, the ability to reveal a significant scientific concept through a finely crafted and sympathetic portrait of the person behind the science. Turning his pen to three key figures--Sigmund Freud, Isabelle Duncan, and E. Ray Lankester, the latter an unlikely attendee of the funeral of Karl Marx--he highlights the effect of the Darwinian revolution and its resonance on their lives and work. Part IV encourages the reader--through what Gould calls "intellectual paleontology"--to consider scientific theories of the sixteenth and seventeenth centuries in a new light and to recognize the limitations our own place in history may impose on our understanding of those ideas. Part V explores the op-ed genre and includes two essays with differing linguistic formats, which address the continual tug-of-war between the study of evolution and creationism. In subsequent essays, in true Gould fashion, we are treated to moments of good humor, especially when he leads us to topics that bring him obvious delight, such as Dorothy Sayers novels and his enduring love of baseball and all its dramas. There is an ardent admiration of the topsy-turvy world of Gilbert and Sullivan (wonderfully demonstrated in the jacket illustration), who are not above inclusion in all things evolutionary. This is truly Gould's most personal work to date. How fitting that this final collection should be his most revealing and, in content, the one that reflects most clearly the complexity, breadth of knowledge, and optimism that characterize Gould himself. I Have Landed succeeds in reinforcing Gould's underlying and constant theme from the series' commencement thirty years ago--the study of our own scientific, intellectual, and emotional evolution--bringing reader and author alike to what can only be described as a brilliantly written and very natural conclusion. "From the Hardcover edition."

Mathematical Mysteries: The Beauty and Magic of Numbers


Calvin C. Clawson - 1996
    This recreational math book takes the reader on a fantastic voyage into the world of natural numbers. From the earliest discoveries of the ancient Greeks to various fundamental characteristics of the natural number sequence, Clawson explains fascinating mathematical mysteries in clear and easy prose. He delves into the heart of number theory to see and understand the exquisite relationships among natural numbers, and ends by exploring the ultimate mystery of mathematics: the Riemann hypothesis, which says that through a point in a plane, no line can be drawn parallel to a given line.While a professional mathematician's treatment of number theory involves the most sophisticated analytical tools, its basic ideas are surprisingly easy to comprehend. By concentrating on the meaning behind various equations and proofs and avoiding technical refinements, Mathematical Mysteries lets the common reader catch a glimpse of this wonderful and exotic world.

Great Physicists: The Life and Times of Leading Physicists from Galileo to Hawking


William H. Cropper - 2001
    William H. Cropper vividly portrays the life and accomplishments of such giants as Galileo and Isaac Newton, Marie Curie and Ernest Rutherford, Albert Einstein and NielsBohr, right up to contemporary figures such as Richard Feynman, Murray Gell-Mann, and Stephen Hawking. We meet scientists--all geniuses--who could be gregarious, aloof, unpretentious, friendly, dogged, imperious, generous to colleagues or contentious rivals. As Cropper captures their personalities, he also offers vivid portraits of their great moments of discovery, their bitter feuds, their relations with family and friends, their religious beliefs and education. In addition, Cropper has grouped these biographies by discipline--mechanics, thermodynamics, particle physics, and others--eachsection beginning with a historical overview. Thus in the section on quantum mechanics, readers can see how the work of Max Planck influenced Niels Bohr, and how Bohr in turn influenced Werner Heisenberg.Our understanding of the physical world has increased dramatically in the last four centuries. With Great Physicists, readers can retrace the footsteps of the men and women who led the way.

Here's Looking at Euclid: A Surprising Excursion Through the Astonishing World of Math


Alex Bellos - 2010
    But, Alex Bellos says, "math can be inspiring and brilliantly creative. Mathematical thought is one of the great achievements of the human race, and arguably the foundation of all human progress. The world of mathematics is a remarkable place."Bellos has traveled all around the globe and has plunged into history to uncover fascinating stories of mathematical achievement, from the breakthroughs of Euclid, the greatest mathematician of all time, to the creations of the Zen master of origami, one of the hottest areas of mathematical work today. Taking us into the wilds of the Amazon, he tells the story of a tribe there who can count only to five and reports on the latest findings about the math instinct--including the revelation that ants can actually count how many steps they've taken. Journeying to the Bay of Bengal, he interviews a Hindu sage about the brilliant mathematical insights of the Buddha, while in Japan he visits the godfather of Sudoku and introduces the brainteasing delights of mathematical games.Exploring the mysteries of randomness, he explains why it is impossible for our iPods to truly randomly select songs. In probing the many intrigues of that most beloved of numbers, pi, he visits with two brothers so obsessed with the elusive number that they built a supercomputer in their Manhattan apartment to study it. Throughout, the journey is enhanced with a wealth of intriguing illustrations, such as of the clever puzzles known as tangrams and the crochet creation of an American math professor who suddenly realized one day that she could knit a representation of higher dimensional space that no one had been able to visualize. Whether writing about how algebra solved Swedish traffic problems, visiting the Mental Calculation World Cup to disclose the secrets of lightning calculation, or exploring the links between pineapples and beautiful teeth, Bellos is a wonderfully engaging guide who never fails to delight even as he edifies. "Here's Looking at Euclid "is a rare gem that brings the beauty of math to life.

The Logical Leap: Induction in Physics


David Harriman - 2010
    Inspired by and expanding on a series of lectures presented by Leonard Peikoff, David Harriman presents a fascinating answer to the problem of induction-the epistemological question of how we can know the truth of inductive generalizations.Ayn Rand presented her revolutionary theory of concepts in her book Introduction to Objectivist Epistemology. As Dr. Peikoff subsequently explored the concept of induction, he sought out David Harriman, a physicist who had taught philosophy, for his expert knowledge of the scientific discovery process.Here, Harriman presents the result of a collaboration between scientist and philosopher. Beginning with a detailed discussion of the role of mathematics and experimentation in validating generalizations in physics-looking closely at the reasoning of scientists such as Galileo, Kepler, Newton, Lavoisier, and Maxwell-Harriman skillfully argues that the inductive method used in philosophy is in principle indistinguishable from the method used in physics.

Faster Than the Speed of Light: The Story of a Scientific Speculation


João Magueijo - 2002
    This idea is considered a foundation of modern physics, but what if it is wrong? Theoretical physicist Magueijo presents the idea that light traveled faster in the early universe than it does today. The varying speed of light theory solves some of the most intractable problems in cosmology, and could have major implications for the study of physics.

Endless Forms Most Beautiful: The New Science of Evo Devo and the Making of the Animal Kingdom


Sean B. Carroll - 2005
    Evo Devo Evolutionary Developmental Biology is the new science that has finally cracked open the box. Within the pages of his rich and riveting book, Sean B. Carroll explains how we are discovering that complex life is ironically much simpler than anyone ever expected.

Einstein's Telescope: The Hunt for Dark Matter and Dark Energy in the Universe


Evalyn Gates - 2009
    Dark matter. These strange and invisible substances don't just sound mysterious: their unexpected appearance in the cosmic census is upending long-held notions about the nature of the Universe. Astronomers have long known that the Universe is expanding, but everything they could see indicated that gravity should be slowing this spread. Instead, it appears that the Universe is accelerating its expansion and that something stronger than gravity--dark energy--is at work. In Einstein's Telescope Evalyn Gates, a University of Chicago astrophysicist, transports us to the edge of contemporary science to explore the revolutionary tool that unlocks the secrets of these little-understood cosmic constituents. Based on Einstein's theory of general relativity, gravitational lensing, or "Einstein's Telescope," is enabling new discoveries that are taking us toward the next revolution in scientific thinking--one that may change forever our notions of where the Universe came from and where it is going.

The Age of Wonder: How the Romantic Generation Discovered the Beauty and Terror of Science


Richard Holmes - 2008
    It has been inspired by the scientific ferment that swept through Britain at the end of the 18th century, and which Holmes now radically redefines as 'the revolution of Romantic Science'.

The Field: The Quest for the Secret Force of the Universe


Lynne McTaggart - 2003
    Original, well researched, and well documented by distinguished sources, The Field is a book of hope and inspiration for today's world.

The Quark and the Jaguar: Adventures in the Simple and the Complex


Murray Gell-Mann - 1994
    Nobel laureate Murray Gell-Mann offers a uniquely personal and unifying vision of the relationship between the fundamental laws of physics and the complexity and diversity of the natural world.

Mathematics for the Nonmathematician


Morris Kline - 1967
    But there is one other motive which is as strong as any of these — the search for beauty. Mathematics is an art, and as such affords the pleasures which all the arts afford." In this erudite, entertaining college-level text, Morris Kline, Professor Emeritus of Mathematics at New York University, provides the liberal arts student with a detailed treatment of mathematics in a cultural and historical context. The book can also act as a self-study vehicle for advanced high school students and laymen. Professor Kline begins with an overview, tracing the development of mathematics to the ancient Greeks, and following its evolution through the Middle Ages and the Renaissance to the present day. Subsequent chapters focus on specific subject areas, such as "Logic and Mathematics," "Number: The Fundamental Concept," "Parametric Equations and Curvilinear Motion," "The Differential Calculus," and "The Theory of Probability." Each of these sections offers a step-by-step explanation of concepts and then tests the student's understanding with exercises and problems. At the same time, these concepts are linked to pure and applied science, engineering, philosophy, the social sciences or even the arts.In one section, Professor Kline discusses non-Euclidean geometry, ranking it with evolution as one of the "two concepts which have most profoundly revolutionized our intellectual development since the nineteenth century." His lucid treatment of this difficult subject starts in the 1800s with the pioneering work of Gauss, Lobachevsky, Bolyai and Riemann, and moves forward to the theory of relativity, explaining the mathematical, scientific and philosophical aspects of this pivotal breakthrough. Mathematics for the Nonmathematician exemplifies Morris Kline's rare ability to simplify complex subjects for the nonspecialist.

The 4% Universe: Dark Matter, Dark Energy, and the Race to Discover the Rest of Reality


Richard Panek - 2010
      In the past few years, a handful of scientists have been in a race to explain a disturbing aspect of our universe: only 4 percent of it consists of the matter that makes up you, me, our books, and every planet, star, and galaxy. The rest—96 percent of the universe—is completely unknown.   Richard Panek tells the dramatic story of how scientists reached this conclusion, and what they’re doing to find this "dark" matter and an even more bizarre substance called dark energy. Based on in-depth, on-site reporting and hundreds of interviews—with everyone from Berkeley’s feisty Saul Perlmutter and Johns Hopkins’s meticulous Adam Riess to the quietly revolutionary Vera Rubin—the book offers an intimate portrait of the bitter rivalries and fruitful collaborations, the eureka moments and blind alleys, that have fueled their search, redefined science, and reinvented the universe.

Gödel, Escher, Bach: An Eternal Golden Braid


Douglas R. Hofstadter - 1979
    However, according to Hofstadter, the formal system that underlies all mental activity transcends the system that supports it. If life can grow out of the formal chemical substrate of the cell, if consciousness can emerge out of a formal system of firing neurons, then so too will computers attain human intelligence. Gödel, Escher, Bach is a wonderful exploration of fascinating ideas at the heart of cognitive science: meaning, reduction, recursion, and much more.