Magnificent Principia: Exploring Isaac Newton's Masterpiece

Magnificent Principia: Exploring Isaac Newton's Masterpiece

by Colin Pask
Magnificent Principia: Exploring Isaac Newton's Masterpiece

Magnificent Principia: Exploring Isaac Newton's Masterpiece

by Colin Pask

eBook

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Overview

Will help you appreciate and understand the significance of Isaac Newton's masterpiece--what many regard as the greatest scientific contribution of all time.Despite its dazzling reputation, Isaac Newton's Philosophiae Naturalis Principia Mathematica, or simply the Principia, remains a mystery for many people. Few of even the most intellectually curious readers, including professional scientists and mathematicians, have actually looked in the Principia or appreciated its contents.Mathematician Colin Pask seeks to remedy this deficit with this accessible guided tour through Newton's masterpiece. Using the final edition of the Principia, Pask clearly demonstrates how it sets out Newton's (and now our) approach to science, how the framework of classical mechanics is established, how terrestrial phenomena like the tides and projectile motion are explained, and how we can understand the dynamics of the solar system and the paths of comets. He also includes scene-setting chapters about Newton himself and scientific developments in his time, as well as chapters about the reception and influence of the Principia up to the present day.Now in paperback with a new preface, this lucidly written work makes Newton's landmark achievement comprehensible to lay readers.

Product Details

ISBN-13: 9781633885691
Publisher: Prometheus Books
Publication date: 04/16/2019
Sold by: Barnes & Noble
Format: eBook
Pages: 528
File size: 11 MB
Note: This product may take a few minutes to download.

About the Author

Colin Pask is the author of Great Calculations: A Surprising Look Behind 50 Scientific Inquiries and Math for the Frightened: Facing Scary Symbols and Everything Else That Freaks You Out about Mathematics. He is an emeritus professor of mathematics and a visiting fellow and professor in the School of Physical, Environmental and Mathematical Sciences at the University of New South Wales in Canberra, Australia.

Read an Excerpt

Preface to the Paperback Edition:

The ancient fascination with the heavens is as strong as ever today as advances in science and engineering create new methods for  space exploration. We now routinely use satellites in such things  as GPS navigational systems and orbiting telescopes give us results with remarkable resolution. We plan trajectories to visit Mars, search for a ninth planet in the outer reaches of our solar system,  and space tourism is about to become a reality. The detection of gravitational waves tells us about  the very far reaches of the universe while exoplanets have been located orbiting the stars nearest to Earth. 

The tools we use to examine those possibilities and plan our exploration of space were first developed by Isaac Newton in his Philosophiae Naturalis Principia Mathematica (the Principia). However, even more than that, Newton introduces and shows how to use the scientific way of thinking that underpins so much in our modern way of life. The Principia is the first comprehensive book on science as we know it today. It remains as relevant today as it was three hundred years ago, for as Einstein put it, Newton’s “clear and wide ideas will forever retain their significance as the foundation on which our modern conceptions of physics  have been built.” 

As an example of that Newton suggested that we can understand the properties of matter on the large or macroscopic scale in terms of the interactions of its microscopic or atomic constituents. His demonstration of this approach for gases and liquids anticipated a vast amount of modern science. 

The Principia is indeed one of the "Great Books”. It is one of the treasures of our civilization ranking alongside Homer’s Odyssey, Shakespeare’s Macbeth and Dicken’s Great Expectations. Sadly, despite its supreme importance, in comparison the Principia tends to be ignored. The book you now hold aims to change all that. It  provides a step-by-step guide to the Principia, its background, contents  and implications. You too can appreciate this unrivalled breakthrough moment on the road to our modern world. 

I am delighted that this new edition of Magnificent Principia will allow even more people to explore Newton’s masterpiece and learn about the origins of modern science. 
 
Colin Pask
December 2018

Table of Contents

Preface to the Paperback Edition of Magnificent Principia 1

Preface to the Hardcover Edition of Magnificent Principia: Why You Should Read This Book 11

Acknowledgments 17

Plan of the Book and Reading Plans 19

Part 1 Introductory Material 21

1 Introducing Our Hero 23

2 Setting the Scene 41

3 A First Look at the Principia 72

Part 2 How The Principia Begins 87

4 Newton's Preface: Setting Out Methods and Aims 89

5 Fundamentals 98

6 Newton's Laws of Motion and Their Immediate Consequences 123

7 Mathematical Methods 148

Part 3 Developing The Basics Of Dynamics 169

8 Down to Business 171

9 What Isaac Did Next: Finding Forces 188

10 The Inverse-Square Law: Triumph and Controversy 202

11 Interlude: The Modern Formulation 220

12 Time and a Mathematical Gem 233

13 Completing the Single-Body Formalism 249

14 Rotating Orbits 267

Part 4 On To More Complex Situations 281

15 Constrained Motion 283

16 Many Bodies: Triumphs and Challenges 293

17 Big Bodies and Superb Theorems 316

18 Here Endeth Book I 332

Part 5 About Principia Book II 339

19 Starting on Book II 341

20 Newton the Experimentalist 361

21 What Lies Beneath 376

Part 6 The Majestic Principia Book III 391

22 Book III and Gravity 393

23 Theory of the Solar System 412

24 Earthly Phenomena 423

25 Challenges: The Moon and Comets 441

26 The Concluding General Scholium 460

Part 7 Reception And Influence Of Principia 471

27 Reception and Influence 473

28 Mechanics after Newton 491

Epilogue 509

Notes 513

Index 523

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