A time of Science and Philosophy together | The Principia : Mathematical Principles of Natural Philosophy |...

Beyond the Classroom...NOT Before! | The Principia : Mathematical Principles of Natural Philosophy | Isaac Newton

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	• The Principia : Mathematical Principles of Natural Philosophy Isaac Newton University of California Press, 1999 - 974 pages average customer review:based on 22 reviews view larger image
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highly recommended

brilliant

I FINALLY UNDERSTAND CALCULUS.I RECOMMEND PEOPLE TO TAKE THEIR TIME READING AND UNDERSTANDING THE PHILOSPHY OF ISAAC NEWTON.

A time of Science and Philosophy together

"I hope that, decades from now, when I and my other books have been forgotten, this will still be useful to scholars and students". So spoke Harvard University Professor I. Bernard Cohen some years before his death in 2003. His co-translator Anne Whitman had died in 1984. The translation and the extraordinary commentary is 974 pages long and took 15 years to complete. I have had this edition for many years and in reading it again I decided to write this review. I feel grateful to Cohen and Whitman for what they accomplished.

This particular edition by Cohen and Whitman of The Principia stands alone (as far as I know) in making one feel that a teacher, guide, and historian are holding your hand while exploring and understanding one of the most dramatic and powerful scientific and mathematical treatise ever written. I am surprised at some of the reviews here in that they seem to discuss the applicability or utilization of The Principia as a Physics or Math textbook. This is certainly not a textbook in the modern sense in any respect. This is not a book you would use to prepare for any normal Physics or Math examination. It must be kept in mind that this book by Newton was a human accomplishment and this particular edition with its extensive commentary by Cohen lets one be exposed to both the scientific rigor and social aspects of the world of Isaac Newton. And due to the fact of Newton's extraordinary scientific and mathematical accomplishment it caused historical alteration in the course of human events as does each great expansion of human knowledge. Sometimes when mathematical expressions and concepts of Physics are portrayed we forget that the ideas are first and foremost a human experience, it is not some distant and inscrutable theory but part of our most intimate life. We try to understand what we are and where we are. In the days of Isaac Newton Natural Philosophy was thought of as an expression and search for the truth and mathematics was sometimes able to be the handmaiden of this exploration. Unfortunately, from my point of view, philosophy has become detached from much of mathematics and this has done a disservice to both Physics, Math and what is currently thought of as Philosophy. I see no advantage in this current day separation and when immersing yourself in this edition of The Principia, there is a longing for those days now past when there was a unification of science and philosophy.
There is little reason in this review to explain the significance both mathematically and historically of the writing of Isaac Newton. Whether a student is using a conventional Physics textbook to master the understanding, laws and calculations described in The Principia or is exercising physics problems to show facility and prepare for an examination, each and every aspiring learner is obligated to master the ideas and knowledge as expressed in The Principia one way or another. Certainly our current day Physics textbooks do not teach as Isaac Newton taught and wrote. The Principia is not a book normally used to prepare for any Physics examination whether in High School or University. But the law of science and math as expressed in The Principia is as valid in general application today as it was in 1729. Our understanding of the laws of Newton as they relate to later discovered equations and expressions, including Relativity, does alters our knowledge of applicability of Newtonian physics. It does show the limitations of our belief in the immutable Laws of Nature, including those mathematical laws. In some respects radically so. So, it really depends upon the demands you put upon the math and knowledge as expressed in The Principia. Do not read Isaac Newton in the light of Albert Einstein and others. First read Newton in the light of his age, then step back and remember how we have continued along this amazing path to knowledge. So The Principia is another place in our human endeavor. This is not just a book for mathematicians. As related on pages 297 and 298 that wonderful contemporary of Newton, John Locke, without benefit of full mathematical understanding was still able to comprehend the ideas within. So will you. This is by far the best edition of The Principia I have ever read. Kenneth Ellman. ke@kennethellman.com

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Beyond the Classroom...NOT Before!

I'm a high school math teacher. I love this book. IT STAYS IN MY OFFICE AT HOME because BC calculus students, as gifted as they may be, are nevertheless ill prepared to conquer this.

The student who failed to test out of Calc I and II is a lot like a lawyer who represents himself (he has a fool for a client). Students, take the risk and ASK A FEW PEOPLE WHO KNOW! We want you to succeed--especially those of us who aren't in lock-step with the dumbing down proces.

Here's the good news for this student, if (s)he actually managed to grasp just 20% of "The Principia" (s)he will absolutely fly through calc and may well walk away with a better, deeper grasp of the material than his/her teacher.

I think I read it at the right time, after I began teaching. Had I tried to read it before answering the same questions I might not have understood it enough to continue. This is THE EPOCHAL MATHEMATICAL WORK of it's century and perhaps of a few nearby ones as well! It is on par with Euclid (another amazing book that is NOT for children).

All that being said, I have no problem with highly motivated youths and super-geniuses making a go of it. I grew up in Palo Alto and went to school with all sorts of super-smart people (such Bobby Fisher's family and the children of many Stanford Professors for instance). I know that some kids can handle anything and exist WAY above their teachers. What I also know is that discovering things that are totally beyond their comprehension can be profoundly unsettling to significantly bright children (120

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Excellent translation with helpful apparatus

I am writing my dissertation on Newton and have found this translation incredibly helpful and surprisingly readable.

The Principia is one of the most difficult and inaccessible books ever written -- so much so, in fact that even John Locke (himself a pretty smart guy) had to ask Christian Huygens to explain much of it to him. This difficulty was intentional, because Newton did not want people who only understood math a little to try and undermine his arguments. For this reason, he rewrote book three so that only those who had read and understood book 1 could understand its concepts.

People laugh when I tell then that I own a book with a three hundred page introduction, but it's a book that needs a three hundred page intro. In their intro, Cohen and whitman describe the history of the principia, its structure, an explanation of where prior translations have fallen short, and -- most importantly -- note which of the Principia's sections have been most significant during and after Newton's time. This is helpful so that when you get to each section, you are more likely to notice which elements may have seemed most controversial, where he is taking down Descartes' vortices, etc. I'm not saying I agree 100% with cohen and whitman on all of their points, but they have produced a work that does not simply translate the book; it also shares the writers' substantial knowledge about the principia.

This is an essential and monumental translation. If you are at all interested in early modern science, you must own it.

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The classic, what did you expect? :-)

At least if you read this book, you will know where it all started. Nothing more than basic calculus and mechanics is required, but the book is still tough going for those of us who aren't physics studs. The style is archaic, and Newton even includes the occasional theological comment (for example, in one of the Lemma's he refers to God as "an infinite and elastic spirit)." But for those with the patience, determination, and discipline to make it to the end, you can pride yourself on having read one of the most important founding works of modern science, and perhaps the most important and revolutionary single science book ever written.

My edition of this book was part of the famous Great Books of the Western World set, and it was one of my favorites. The only work in the set to require any higher math, there is no doubt it had to be included in the set because of it's importance. But unfortunately I suspect it's the most neglected work in the entire set of 54 volumes and over 300 works because of the level of technical difficulty.

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In his monumental 1687 work Philosophiae Naturalis Principia Mathematica, known familiarly as the Principia, Isaac Newton laid out in mathematical terms the principles of time, force, and motion that have guided the development of modern physical science. Even after more than three centuries and the revolutions of Einsteinian relativity and quantum mechanics, Newtonian physics continues to account for many of the phenomena of the observed world, and Newtonian celestial dynamics is used to determine the orbits of our space vehicles.
This completely new translation, the first in 270 years, is based on the third (1726) edition, the final revised version approved by Newton; it includes extracts from the earlier editions, corrects errors found in earlier versions, and replaces archaic English with contemporary prose and up-to-date mathematical forms.
Newton's principles describe acceleration, deceleration, and inertial movement; fluid dynamics; and the motions of the earth, moon, planets, and comets. A great work in itself, the Principia also revolutionized the methods of scientific investigation. It set forth the fundamental three laws of motion and the law of universal gravity, the physical principles that account for the Copernican system of the world as emended by Kepler, thus effectively ending controversy concerning the Copernican planetary system.
The illuminating Guide to the Principia by I. Bernard Cohen, along with his and Anne Whitman's translation, will make this preeminent work truly accessible for today's scientists, scholars, and students.

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