A Tour of the Calculus

Just how calculus makes these things possible and in doing so finds a correspondence between real numbers and the real world is the subject of this dazzling book by a writer of extraordinary clarity and stylistic brio.

A Tour of the Calculus

Were it not for the calculus, mathematicians would have no way to describe the acceleration of a motorcycle or the effect of gravity on thrown balls and distant planets, or to prove that a man could cross a room and eventually touch the opposite wall. Just how calculus makes these things possible and in doing so finds a correspondence between real numbers and the real world is the subject of this dazzling book by a writer of extraordinary clarity and stylistic brio. Even as he initiates us into the mysteries of real numbers, functions, and limits, Berlinski explores the furthest implications of his subject, revealing how the calculus reconciles the precision of numbers with the fluidity of the changing universe. "An odd and tantalizing book by a writer who takes immense pleasure in this great mathematical tool, and tries to create it in others."--New York Times Book Review From the Trade Paperback edition.

One Two Three

From the acclaimed author of A Tour of the Calculus and The Advent of the Algorithm, here is a riveting look at mathematics that reveals a hidden world in some of its most fundamental concepts.

One  Two  Three

From the acclaimed author of A Tour of the Calculus and The Advent of the Algorithm, here is a riveting look at mathematics that reveals a hidden world in some of its most fundamental concepts. In his latest foray into mathematics, David Berlinski takes on the simplest questions that can be asked: What is a number? How do addition, subtraction, multiplication, and division actually work? What are geometry and logic? As he delves into these subjects, he discovers and lucidly describes the beauty and complexity behind their seemingly simple exteriors, making clear how and why these mercurial, often slippery concepts are essential to who we are. Filled with illuminating historical anecdotes and asides on some of the most fascinating mathematicians through the ages, One, Two, Three is a captivating exploration of the foundation of mathematics: how it originated, who thought of it, and why it matters.

Infinite Ascent

In Infinite Ascent, David Berlinski, the acclaimed author of The Advent of the Algorithm, A Tour of the Calculus, and Newton’s Gift, tells the story of mathematics, bringing to life with wit, elegance, and deep insight a 2,500-year-long ...

Infinite Ascent

In Infinite Ascent, David Berlinski, the acclaimed author of The Advent of the Algorithm, A Tour of the Calculus, and Newton’s Gift, tells the story of mathematics, bringing to life with wit, elegance, and deep insight a 2,500-year-long intellectual adventure. Berlinski focuses on the ten most important breakthroughs in mathematical history–and the men behind them. Here are Pythagoras, intoxicated by the mystical significance of numbers; Euclid, who gave the world the very idea of a proof; Leibniz and Newton, co-discoverers of the calculus; Cantor, master of the infinite; and Gödel, who in one magnificent proof placed everything in doubt. The elaboration of mathematical knowledge has meant nothing less than the unfolding of human consciousness itself. With his unmatched ability to make abstract ideas concrete and approachable, Berlinski both tells an engrossing tale and introduces us to the full power of what surely ranks as one of the greatest of all human endeavors. From the Hardcover edition.

Newton s Gift

A portrait of the physicist's life assesses his remarkable accomplishments in the field of science, his rescue of the British mint and its currency, and his intellectual battles with his colleagues.

Newton s Gift

A portrait of the physicist's life assesses his remarkable accomplishments in the field of science, his rescue of the British mint and its currency, and his intellectual battles with his colleagues.

The Secrets of the Vaulted Sky

Explores the enigmatic world of astrology--one of the oldest "predictive arts"--revealing its complexities and scientific merit.

The Secrets of the Vaulted Sky

Explores the enigmatic world of astrology--one of the oldest "predictive arts"--revealing its complexities and scientific merit.

The Calculus Diaries

The Calculus Diaries is the fun and fascinating account of her year spent confronting her math phobia head on.

The Calculus Diaries

Kiss My Math meets A Tour of the Calculus Jennifer Ouellette never took math in college, mostly because she-like most people-assumed that she wouldn't need it in real life. But then the English-major-turned-award-winning-science-writer had a change of heart and decided to revisit the equations and formulas that had haunted her for years. The Calculus Diaries is the fun and fascinating account of her year spent confronting her math phobia head on. With wit and verve, Ouellette shows how she learned to apply calculus to everything from gas mileage to dieting, from the rides at Disneyland to shooting craps in Vegas-proving that even the mathematically challenged can learn the fundamentals of the universal language.

The Devil s Delusion

The Devil's Delusion is a brilliant, incisive, and funny book that explores the limits of science and the pretensions of those who insist it is the ultimate touchstone for understanding our world.

The Devil s Delusion

The bestselling author of A Tour of the Calculus sets off on a wise and witty assault on the pretensions of the scientific atheists. Militant atheism is on the rise. In recent years Richard Dawkins, Sam Harris, Daniel Dennett, and Christopher Hitchens have produced a steady stream of best-selling books denigrating religious belief. These authors are merely the leading edge of a larger movement that includes much of the scientific community.In response, mathematician David Berlinski, himself a secular Jew, delivers a biting defense of religious thought. The Devil's Delusion is a brilliant, incisive, and funny book that explores the limits of science and the pretensions of those who insist it is the ultimate touchstone for understanding our world.

The Advent of the Algorithm

Describes the invention of the algorithm, first theorized by Leibniz, and the dramatic implications of this mathematical discovery on the development of computer technology and the working of DNA.

The Advent of the Algorithm

Describes the invention of the algorithm, first theorized by Leibniz, and the dramatic implications of this mathematical discovery on the development of computer technology and the working of DNA.

Human Nature

In this wide-ranging work polymath David Berlinski draws upon history, mathematics, logic, and literature to retrain our gaze on an old truth many are eager to forget: there is and will be about the human condition beauty, nobility, and ...

Human Nature

Conventional wisdom holds that the murder rate has plummeted since the Middle Ages; humankind is growing more peaceful and enlightened; man is shortly to be much improved--better genes, better neural circuits, better biochemistry; and we are approaching a technological singularity that well may usher in utopia. Human Nature eviscerates these and other doctrines of a contemporary nihilism masquerading as science. In this wide-ranging work polymath David Berlinski draws upon history, mathematics, logic, and literature to retrain our gaze on an old truth many are eager to forget: there is and will be about the human condition beauty, nobility, and moments of sublime insight, yes, but also ignorance and depravity. Men are not about to become like gods.

The Deniable Darwin and Other Essays

David Berlinski, a senior fellow at Discovery Institute, writes about three profound mysteries: the existence of the human mind, the existence and diversity of living creatures, and the existence of matter.

The Deniable Darwin and Other Essays

David Berlinski, a senior fellow at Discovery Institute, writes about three profound mysteries: the existence of the human mind, the existence and diversity of living creatures, and the existence of matter. His other books include: The Devil's Delusion: Atheism and Its Scientific Pretensions, Newton's Gift, and A Tour of the Calculus.

The Joy of X

A comprehensive tour of leading mathematical ideas by an award-winning professor and columnist for the New York Times Opinionator series demonstrates how math intersects with philosophy, science and other aspects of everyday life.

The Joy of X

A comprehensive tour of leading mathematical ideas by an award-winning professor and columnist for the New York Times Opinionator series demonstrates how math intersects with philosophy, science and other aspects of everyday life. By the author of The Calculus of Friendship. 50,000 first printing.

The King of Infinite Space

And for over two thousand years, geometry has been equated with Euclid's Elements, arguably the most influential book in the history of mathematics In The King of Infinite Space, renowned mathematics writer David Berlinski provides a ...

The King of Infinite Space

Geometry defines the world around us, helping us make sense of everything from architecture to military science to fashion. And for over two thousand years, geometry has been equated with Euclid's Elements, arguably the most influential book in the history of mathematics In The King of Infinite Space, renowned mathematics writer David Berlinski provides a concise homage to this elusive mathematician and his staggering achievements. Berlinski shows that, for centuries, scientists and thinkers from Copernicus to Newton to Einstein have relied on Euclid's axiomatic system, a method of proof still taught in classrooms around the world. Euclid's use of elemental logic—and the mathematical statements he and others built from it—have dramatically expanded the frontiers of human knowledge. The King of Infinite Space presents a rich, accessible treatment of Euclid and his beautifully simple geometric system, which continues to shape the way we see the world.

Black Mischief

A protean look at the science establishment-as well as the personalities behind the scenes-in such fields as behavioral psychology, linguistics, and economics.

Black Mischief

A protean look at the science establishment-as well as the personalities behind the scenes-in such fields as behavioral psychology, linguistics, and economics.

Euclid in the Rainforest

Like Douglas Hofstadter’s Gödel, Escher, Bach, and David Berlinski’s A Tour of the Calculus, Euclid in the Rainforest combines the literary with the mathematical to explore logic—the one indispensable tool in man’s quest to ...

Euclid in the Rainforest

Like Douglas Hofstadter’s Gödel, Escher, Bach, and David Berlinski’s A Tour of the Calculus, Euclid in the Rainforest combines the literary with the mathematical to explore logic—the one indispensable tool in man’s quest to understand the world. Underpinning both math and science, it is the foundation of every major advancement in knowledge since the time of the ancient Greeks. Through adventure stories and historical narratives populated with a rich and quirky cast of characters, Mazur artfully reveals the less-than-airtight nature of logic and the muddled relationship between math and the real world. Ultimately, Mazur argues, logical reasoning is not purely robotic. At its most basic level, it is a creative process guided by our intuitions and beliefs about the world.

Is God a Mathematician

A Tour of the Calculus (New York: Pantheon Books). Bernoulli, J. 1713a. The Art
of Conjecturing [Ars Conjectandi]. Translated by E.D. Sylla, with introduction and
notes, 2006 (Baltimore: Johns Hopkins University Press). ———. 1713b.

Is God a Mathematician

Bestselling author and astrophysicist Mario Livio examines the lives and theories of history’s greatest mathematicians to ask how—if mathematics is an abstract construction of the human mind—it can so perfectly explain the physical world. Nobel Laureate Eugene Wigner once wondered about “the unreasonable effectiveness of mathematics” in the formulation of the laws of nature. Is God a Mathematician? investigates why mathematics is as powerful as it is. From ancient times to the present, scientists and philosophers have marveled at how such a seemingly abstract discipline could so perfectly explain the natural world. More than that—mathematics has often made predictions, for example, about subatomic particles or cosmic phenomena that were unknown at the time, but later were proven to be true. Is mathematics ultimately invented or discovered? If, as Einstein insisted, mathematics is “a product of human thought that is independent of experience,” how can it so accurately describe and even predict the world around us? Physicist and author Mario Livio brilliantly explores mathematical ideas from Pythagoras to the present day as he shows us how intriguing questions and ingenious answers have led to ever deeper insights into our world. This fascinating book will interest anyone curious about the human mind, the scientific world, and the relationship between them.

The Why of Things

A Tour of the Calculus. New York: Random House. Buchanan, M. 2002. Nexus.
New York: Norton. Camazine, S., et al. 2001. Self-Organization in Biological
Systems. Princeton, N.J.: Princeton University Press. de Duve, C. 2005.
Singularities.

The Why of Things

Why was there a meltdown at the Fukushima power plant? Why do some people get cancer and not others? Why is global warming happening? Why does one person get depressed in the face of life's vicissitudes while another finds resilience? Questions like these—questions of causality—form the basis of modern scientific inquiry, posing profound intellectual and methodological challenges for researchers in the physical, natural, biomedical, and social sciences. In this groundbreaking book, noted psychiatrist and author Peter Rabins offers a conceptual framework for analyzing daunting questions of causality. Navigating a lively intellectual voyage between the shoals of strict reductionism and relativism, Rabins maps a three-facet model of causality and applies it to a variety of questions in science, medicine, economics, and more. Throughout this book, Rabins situates his argument within relevant scientific contexts, such as quantum mechanics, cybernetics, chaos theory, and epigenetics. A renowned communicator of complex concepts and scientific ideas, Rabins helps readers stretch their minds beyond the realm of popular literary tipping points, blinks, and freakonomic explanations of the world.

A Shotgun Wedding

David Berlinski has a PhD from Princeton, University, has taught mathematics,
and wrote A Tour of the Calculus, among other works. These brief biographical
comments do not do justice to any of the aforementioned authors but serve to ...

A Shotgun Wedding

There is a long history of conflict between religion and science in the discussion of the creation of the earth and everything in it. In A Shotgun Wedding, author Philip S. Radcliffe examines this conflict and debunks the fallacy that there is not room for God in science. A Shotgun Wedding provides insights into the balance of God and science when discussing creation concepts. It reviews the reformed tradition of Christianity that presents an updated view of Christianity and discusses the major areas of the expansion of scientific knowledge. The study also details the three adjustments that must be incorporated in a new reformed theology, focuses on how creation seems to have been designed using the scientific insight of the last fifty years, and shows how the universe is an interactive system designed to bring humanity into a complex environment. It seeks to reconcile science with Christian faith. Radcliffe demonstrates how science and the continuing quest for knowledge are God-given gifts from a Creator who designed the universe and enables human beings' creative efforts to modify some portion of His design. Science, rather than opposing religion, provides mankind with a vehicle to appreciate just how dynamic His creation is and the humans' role within it.

The Case for a Creator

According to David Berlinski, author of A Tour of the Calculus, Behe's book “
makes an overwhelming case against Darwin on the biochemical level” through
an argument “of great originality, elegance, and intellectual power.” Added
Berlinski: ...

The Case for a Creator

In this New York Times bestselling book, award-winning Chicago Tribune journalist Lee Strobel investigates and unpacks the scientific evidence that points toward God. "My road to atheism was paved by science . . . but, ironically, so was my later journey to God," Strobel says. During his academic years, Lee Strobel became convinced that God was obsolete, a belief that colored his journalism career. Science had made the idea of a Creator irrelevant - or so Strobel thought. But today science points in a different direction. A diverse and impressive body of research has increasingly supported the conclusion that the universe was intelligently designed. At the same time, Darwinism has faltered in the face of concrete facts and hard reason. Has science discovered God? At the very least, it's giving faith an immense boost, as new findings emerge about the incredible complexity of our universe. Join Strobel as he reexamines the theories that once led him away from God. Through his compelling and highly readable account, you’ll encounter the mind-stretching discoveries from cosmology, cellular biology, DNA research, astronomy, physics, and human consciousness that present astonishing evidence in The Case for a Creator. Also available: The Case for a Creator small group video study and study guide, Spanish edition, kids' edition, student edition, and more.

Mere Creation

David Berlinski , Ph . D . ( mathematics , Princeton University ) , lecturer , essayist
, author of Black Mischief ( Harcourt Brace ) and A Tour of the Calculus (
Pantheon ) . Berlinski is an outspoken critic of Darwinism . His June 1996 article
in ...

Mere Creation

In this book a team of expert academics trained in mathematics, engineering, philosophy, physical anthropology, physics, astrophysics, biology and more investigate the prospects for intelligent design. Edited by William Dembski.

Differential Geometry and Its Applications

Calculus. of. Variations. and. Geometry. 7.1. The. Euler-Lagrange. Equations. In
previous chapters, we have seen that ... In this chapter we will try to put these
results into perspective by giving a quick tour of the calculus of variations — the ...

Differential Geometry and Its Applications

Differential geometry has a long, wonderful history it has found relevance in areas ranging from machinery design of the classification of four-manifolds to the creation of theories of nature's fundamental forces to the study of DNA. This book studies the differential geometry of surfaces with the goal of helping students make the transition from the compartmentalized courses in a standard university curriculum to a type of mathematics that is a unified whole, it mixes geometry, calculus, linear algebra, differential equations, complex variables, the calculus of variations, and notions from the sciences. Differential geometry is not just for mathematics majors, it is also for students in engineering and the sciences. Into the mix of these ideas comes the opportunity to visualize concepts through the use of computer algebra systems such as Maple. The book emphasizes that this visualization goes hand-in-hand with the understanding of the mathematics behind the computer construction. Students will not only “see” geodesics on surfaces, but they will also see the effect that an abstract result such as the Clairaut relation can have on geodesics. Furthermore, the book shows how the equations of motion of particles constrained to surfaces are actually types of geodesics. Students will also see how particles move under constraints. The book is rich in results and exercises that form a continuous spectrum, from those that depend on calculation to proofs that are quite abstract.