A History of the Circle

Mathematical Reasoning and the Physical Universe

Author: Ernest Zebrowski

Publisher: Rutgers University Press

ISBN: 9780813528984

Category: Mathematics

Page: 215

View: 8224

Ranging from ancient times to twentieth-century theories of time and space, looks at how exploring the circle has lead to increased knowledge about the physical universe.

Poetry of the Universe

Author: Robert Osserman

Publisher: Anchor

ISBN: 0307790584

Category: Science

Page: 224

View: 5662

In the bestselling literary tradition of Lewis Thomas's Lives of a Cell and James Watson's The Double Helix, Poetry of the Universe is a delightful and compelling narrative charting the evolution of mathematical ideas that have helped to illuminate the nature of the observable universe. In a richly anecdotal fashion, the book explores teh leaps of imagination and vision in mathematics that have helped pioneer our understanding of the world around us.

Landscape of the Mind

Human Evolution and the Archaeology of Thought

Author: John F. Hoffecker

Publisher: Columbia University Press

ISBN: 023151848X

Category: Social Science

Page: 288

View: 6078

In Landscape of the Mind, John F. Hoffecker explores the origin and growth of the human mind, drawing on archaeology, history, and the fossil record. He suggests that, as an indirect result of bipedal locomotion, early humans developed a feedback relationship among their hands, brains, and tools that evolved into the capacity to externalize thoughts in the form of shaped stone objects. When anatomically modern humans evolved a parallel capacity to externalize thoughts as symbolic language, individual brains within social groups became integrated into a "neocortical Internet," or super-brain, giving birth to the mind. Noting that archaeological traces of symbolism coincide with evidence of the ability to generate novel technology, Hoffecker contends that human creativity, as well as higher order consciousness, is a product of the superbrain. He equates the subsequent growth of the mind with human history, which began in Africa more than 50,000 years ago. As anatomically modern humans spread across the globe, adapting to a variety of climates and habitats, they redesigned themselves technologically and created alternative realities through tools, language, and art. Hoffecker connects the rise of civilization to a hierarchical reorganization of the super-brain, triggered by explosive population growth. Subsequent human history reflects to varying degrees the suppression of the mind's creative powers by the rigid hierarchies of nationstates and empires, constraining the further accumulation of knowledge. The modern world emerged after 1200 from the fragments of the Roman Empire, whose collapse had eliminated a central authority that could thwart innovation. Hoffecker concludes with speculation about the possibility of artificial intelligence and the consequences of a mind liberated from its organic antecedents to exist in an independent, nonbiological form.

Creators of Mathematical and Computational Sciences

Author: Ravi Agarwal,Syamal Sen

Publisher: Springer

ISBN: 3319108700

Category: Mathematics

Page: 495

View: 1045

​The book records the essential discoveries of mathematical and computational scientists in chronological order, following the birth of ideas on the basis of prior ideas ad infinitum. The authors document the winding path of mathematical scholarship throughout history, and most importantly, the thought process of each individual that resulted in the mastery of their subject. The book implicitly addresses the nature and character of every scientist as one tries to understand their visible actions in both adverse and congenial environments. The authors hope that this will enable the reader to understand their mode of thinking, and perhaps even to emulate their virtues in life.

Mathematics

The Loss of Certainty

Author: Morris Kline

Publisher: Oxford University Press, USA

ISBN: 9780195030853

Category: Mathematics

Page: 366

View: 4602

Refuting the accepted belief that mathematics is exact and infallible, the author examines the development of conflicting concepts of mathematics and their implications for the physical, applied, social, and computer sciences

Current Contents

Arts & humanities

Author: Institute for Scientific Information (Philadelphia)

Publisher: N.A

ISBN: N.A

Category:

Page: N.A

View: 2160


Discover

Author: N.A

Publisher: N.A

ISBN: N.A

Category: Science

Page: N.A

View: 8555


Euclid in the Rainforest

Discovering Universal Truth in Logic and Math

Author: Joseph Mazur

Publisher: Penguin

ISBN: 1101664878

Category: Mathematics

Page: 352

View: 595

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.

The Athenaeum

Journal of Literature, Science, the Fine Arts, Music and the Drama

Author: N.A

Publisher: N.A

ISBN: N.A

Category: England

Page: N.A

View: 9821


The Saga of Mathematics

A Brief History

Author: Marty Lewinter,William Widulski

Publisher: Pearson College Division

ISBN: N.A

Category: Mathematics

Page: 302

View: 7504

This inexpensive paperback uses lively language to put mathematics in an interesting, historical context and points out the many links to art, philosophy, music, computers, navigation, science, and technology. The arithmetic, algebra, and geometry are presented in a way that makes them relevant to daily life as well as larger issues. Topics include: Oh So Mysterious Egyptian Mathematics; Mesopotamia Here We Come; Those Incredible Greeks; Greeks Bearing Gifts; Must All Good Things Come to an End?; Europe Smells the Coffee; Mathematics Marches On; A Few Good Men; A Most Amazing Century of Mathematical Marvels!; The Age of Euler; A Century of Surprises; Ones and Zeros; Some More Math Before You Go.

Is God a Mathematician?

Author: Mario Livio

Publisher: Simon and Schuster

ISBN: 9781416594437

Category: Mathematics

Page: 320

View: 1989

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 Mathematical Mechanic

Using Physical Reasoning to Solve Problems

Author: Mark Levi

Publisher: Princeton University Press

ISBN: 0691154562

Category: Science

Page: 186

View: 4963

In this delightful book, Levi turns math and physics upside down, revealing how physics can simplify proofs and lead to quicker solutions and new theorems, and how physical solutions can illustrate why results are true in ways lengthy mathematical calculations never can.

Keeper of the Celtic Secrets

Author: Betty Rhodes

Publisher: Betty Rhodes

ISBN: 159800283X

Category: Fiction

Page: 336

View: 9578

WRITTEN AS A BOOK OF FICTION - BUT IS IT Revealed in this book, is the mystery behind the Missing Link, the answer to the 'creation or evolution' question, the origins of the races, the origins of Rh-Negative blood; the Red Thread, the Origin of the Hebrew people, the wandering planet of Hibiru - yes, Hibiru, and much more. See, how patterns can reveal the future, what the Garden of Eden really was, and learn about the ancient Gods of Sumer, the Mazzaroth trail, and much more. This book has a heart wrenching love story, and is full of mystery, danger, and excitement, but more importantly, it contains the unveiling of secret knowledge from some old secret journals. Journals, scribed in 1650, have passed down to 'the keeper of the secrets', Samantha O'Brian, who decides to share these amazing secrets with the world. These secrets will open your eyes to wisdom so astounding, that you won't believe your eyes.

The Shorter Routledge Encyclopedia of Philosophy

Author: Edward Craig

Publisher: Routledge

ISBN: 1134344090

Category: Philosophy

Page: 1078

View: 6908

The Shorter REP presents the very best of the acclaimed ten volume Routledge Encyclopedia of Philosophy in a single volume. It makes a selection of the most important entries available for the first time and covers all you need to know about philosophy, from Aristotle to Wittgenstein and animals and ethics to scientific method. Comprising over 900 entries and covering the major philosophers and philosophical topics, The Shorter REP includes the following special features: Unrivalled coverage of major philosophers, themes, movements and periods making the volume indispensable for any student or general reader Fully cross-referenced Revised versions of many of the most important entries, including fresh suggestions for further reading Over twenty brand new entries on important new topics such as Cloning and Sustainability entries by many leading philosophers such as Bernard Williams, Martha Nussbaum, Richard Rorty, Onora O'Neill, T.M. Scanlon and Anthony Appiah Striking new text design to help locate key entries quickly and easily An outstanding guide to all things philosophical, The Shorter Routledge Encyclopedia of Philosophy provides an unrivalled introduction to the subject for students and general readers alike.