Atjaunināt sīkdatņu piekrišanu

E-grāmata: History of the Priority Di?pute between Newton and Leibniz: Mathematics in History and Culture

Translated by , Translated by ,
  • Formāts: PDF+DRM
  • Izdošanas datums: 12-Apr-2018
  • Izdevniecība: Birkhauser Verlag AG
  • Valoda: eng
  • ISBN-13: 9783319725635
Citas grāmatas par šo tēmu:
  • Formāts - PDF+DRM
  • Cena: 142,75 €*
  • * ši ir gala cena, t.i., netiek piemērotas nekādas papildus atlaides
  • Ielikt grozā
  • Pievienot vēlmju sarakstam
  • Šī e-grāmata paredzēta tikai personīgai lietošanai. E-grāmatas nav iespējams atgriezt un nauda par iegādātajām e-grāmatām netiek atmaksāta.
History of the Priority Di?pute between Newton and Leibniz: Mathematics in History and CulturePalielināt
  • Formāts: PDF+DRM
  • Izdošanas datums: 12-Apr-2018
  • Izdevniecība: Birkhauser Verlag AG
  • Valoda: eng
  • ISBN-13: 9783319725635
Citas grāmatas par šo tēmu:

DRM restrictions

  • Kopēšana (kopēt/ievietot):

    nav atļauts

  • Drukāšana:

    nav atļauts

  • Lietošana:

    Digitālo tiesību pārvaldība (Digital Rights Management (DRM))
    Izdevējs ir piegādājis šo grāmatu šifrētā veidā, kas nozīmē, ka jums ir jāinstalē bezmaksas programmatūra, lai to atbloķētu un lasītu. Lai lasītu šo e-grāmatu, jums ir jāizveido Adobe ID. Vairāk informācijas šeit. E-grāmatu var lasīt un lejupielādēt līdz 6 ierīcēm (vienam lietotājam ar vienu un to pašu Adobe ID).

    Nepieciešamā programmatūra
    Lai lasītu šo e-grāmatu mobilajā ierīcē (tālrunī vai planšetdatorā), jums būs jāinstalē šī bezmaksas lietotne: PocketBook Reader (iOS / Android)

    Lai lejupielādētu un lasītu šo e-grāmatu datorā vai Mac datorā, jums ir nepieciešamid Adobe Digital Editions (šī ir bezmaksas lietotne, kas īpaši izstrādāta e-grāmatām. Tā nav tas pats, kas Adobe Reader, kas, iespējams, jau ir jūsu datorā.)

    Jūs nevarat lasīt šo e-grāmatu, izmantojot Amazon Kindle.

This book provides a thrilling history of the famous priority dispute between Gottfried Wilhelm Leibniz and Isaac Newton, presenting the episode for the first time in the context of cultural history. It introduces readers to the background of the dispute, details its escalation, and discusses the aftermath of the big divide, which extended well into rThe Early Challengesnd the story is very intelligibly explained – an approach that offers general readers interested in the history of sciences and mathematics a window into the world of these two giants in their field. 

From the epilogue to the German edition by Eberhard Knobloch:
Thomas Sonar has traced the emergence and the escalation of this conflict, which was heightened by Leibniz’s rejection of Newton’s gravitation theory, in a grandiose, excitingly written monograph. With absolute competence, he also explains the mathematical context so that non-mathematicians will also profit from the book. Quod erat demonstrandum!

Recenzijas

The reading of this book is recommendable because the precision in describing the most important mathematical aspects behind the dispute Newton-Leibniz, the attentive examination of the protagonists of the story, both from a scientific and a personal-psychological point of view, the thorough description of the relations-net behind such a dispute. Furthermore, the general scenario of this so turbulent and fundamental period for European mathematics and science is well described. (Paolo Bussotti, zbMATH 1400.01003, 2019)









The authors style of writing is vivid, interesting and accessible. Other good features of the book include numerous photographs and illustrations (many in color), and an extensive ten-page, small print, list of references. I look forward to the publication of other books in this series. It belongs on the shelf of anybody interested in the history of calculus, and it certainly belongs in any good university library. (Mark Hunacek, MAA Reviews, June, 2018)

1 An Attunement 1(18)
1.1 What is it All About?
2(1)
1.2 Slope, Derivative, and Differential Quotient
3(8)
1.2.1 The Product Rule
7(1)
1.2.2 The Quotient Rule
8(1)
1.2.3 The Chain Rule
9(2)
1.2.4 The Rule of Differentiating the Inverse Function
11(1)
1.3 Area, Integral, and Antidifferentiation
11(2)
1.4 Indivisibles and Infinitesimals
13(2)
1.5 ...and What is it Good For?
15(4)
2 'On ye Shoulders of Giants' 19(72)
2.1 Who were the Giants?
21(1)
2.2 England in the 17th Century
22(11)
2.3 John Wallis
33(13)
2.4 Isaac Barrow
46(11)
2.5 France and the Netherlands in the 17th Century
57(12)
2.5.1 France on its Way to Absolutism
57(6)
2.5.2 The Netherlands and the Persistent Conflict with Spain and England
63(6)
2.6 Blaise Pascal
69(11)
2.7 Christiaan Huygens
80(11)
3 The Warriors Grow Up 91(52)
3.1 The Physicist: Isaac Newton
93(33)
3.1.1 Childhood and Youth
93(4)
3.1.2 The Lonely Student
97(7)
3.1.3 The Way to the Infinitesimal Calculus
104(7)
3.1.4 The 'anni mirabiles'
111(5)
3.1.5 The Professor in the Lucasian Chair
116(5)
3.1.6 Till Death: The Fight with Robert Hooke
121(5)
3.2 The Lawyer: Gottfried Wilhelm Leibniz
126(17)
3.2.1 Childhood and Youth
126(4)
3.2.2 The Student
130(3)
3.2.3 The Young Doctor Utriusque Iuris
133(3)
3.2.4 Lawyer and Diplomat
136(7)
4 The Cold War Begins 143(58)
4.1 The Mathematician: Leibniz in Paris
144(25)
4.1.1 The First Journey to London
148(6)
4.1.2 The Aftermath of the Pell Affair
154(1)
4.1.3 Leibniz Conquers Mathematics
155(14)
4.2 The Priority Quarrels of Huygens
169(10)
4.2.1 The Quarrel Concerning the Rectification of Curves
169(4)
4.2.2 Turbulent Times: Hooke versus Huygens
173(5)
4.2.3 Atmospheric Disturbances
178(1)
4.3 Times are Changing
179(13)
4.3.1 Leibniz's Letter of 30th March 1675 and its Immediate Consequence
180(4)
4.3.2 Analysis Becomes Calculus
184(4)
4.3.3 Leibniz Gains a Companion
188(4)
4.4 De quadratura arithmetica
192(9)
5 The Apparent Relaxation 201(24)
5.1 The Beginning of the Correspondence: Epistola prior
202(9)
5.2 The Second Journey to London
211(6)
5.3 The Correspondence Ends: Epistola posterior
217(7)
5.4 The Front Line in the Year 1677
224(1)
6 The Aftermath of the Principia Mathematica 225(56)
6.1 The Warrior's Careers up to 1687
226(24)
6.1.1 The Privy Councillor Leibniz - Stranded in Hanover
226(15)
6.1.2 Isaac Newton - The Hermit in Cambridge
241(9)
6.2 Philosophiae Naturalis Principia Mathematica
250(16)
6.2.1 The Prehistory
250(7)
6.2.2 The Formation Phase
257(3)
6.2.3 Leibniz in Newton's Thought
260(2)
6.2.4 The Principia Published
262(3)
6.2.5 Mr Leibniz Lays a Fuse
265(1)
6.3 The Reception of the Principia
266(13)
6.3.1 The Situation in England
266(3)
6.3.2 Huygens as Recipient
269(3)
6.3.3 Leibniz as Recipient
272(5)
6.3.4 Newton's Attack on Leibniz's Tentamen
277(1)
6.3.5 The First Reaction in France
277(2)
6.4 The Scholium Dedicated to Leibniz
279(2)
7 The War is getting hot 281(82)
7.1 Newton in a Political Crisis
282(2)
7.2 A Friend Appeared
284(4)
7.3 Isaac Newton and his Monkey
288(14)
7.3.1 A Strange Couple
288(3)
7.3.2 A New Crisis
291(4)
7.3.3 Leibniz Back in Newton's Thoughts
295(3)
7.3.4 The Monkey Bites
298(4)
7.4 Wallis, Flamsteed and the Way Into the Mint
302(13)
7.4.1 Wallis Jars on Newton's Nerves
302(4)
7.4.2 Newton's Quarrel with Flamsteed
306(6)
7.4.3 Newton and the Mint
312(3)
7.5 Leibniz, his Fellow Campaigners, and the First Great Achievements of the Calculus
315(23)
7.5.1 Leibniz again in Hanover
315(3)
7.5.2 The Bernoulli Brothers
318(5)
7.5.3 Marquis de l'Hospital
323(15)
7.6 The Monkey Attacks
338(16)
7.6.1 Wallis' Algebra of 1693
338(7)
7.6.2 The Aftermath of the Problem of the Brachistochrone: The Monkey is Insulted
345(9)
7.7 Fatio's Fate
354(2)
7.8 The 'Case Leibniz'
356(5)
7.9 Summary and the Front Line in the Year 1699
361(2)
8 War of Extermination 363(50)
8.1 The Mood Shifts
364(7)
8.1.1 George Cheyne and His Effect on Newton
364(4)
8.1.2 The Response to Newton's Opticks
368(3)
8.2 War is Officially Declared
371(4)
8.2.1 The Last Years in Peace
371(1)
8.2.2 John Keill Appoints Himself as the Army Commander
372(3)
8.3 Leibniz Responds and Keill Fights Back
375(7)
8.3.1 Leibniz Asks the Royal Society for Help
375(3)
8.3.2 The Royal Society Instructs Keill
378(4)
8.4 Newton Springs into Action
382(5)
8.4.1 The Fast Track Leading to the Commercium epistolicum
382(2)
8.4.2 The Commercium epistolicum
384(3)
8.5 Escalation
387(20)
8.5.1 An Error in the Principia
387(5)
8.5.2 The Second Edition of the Principia Becomes Due
392(10)
8.5.3 A Flyer is Published
402(5)
8.6 The Leibniz-Clarke Controversy
407(3)
8.7 Newton's Account and Raphson's History of Fluxions
410(3)
9 Beyond the Grave 413(26)
9.1 Poor Abbe Conti
414(3)
9.1.1 An Addendum to a Letter of 6th December 1715
414(1)
9.1.2 Newton Becomes Active Again
414(3)
9.2 Leibniz Dies
417(5)
9.3 The Dogs of War
422(5)
9.3.1 Bernoulli versus Keill, but in Favour of Newton
422(2)
9.3.2 Pierre des Maizeaux and His Recueil
424(3)
9.3.3 Commercium epistolicum Reloaded
427(1)
9.4 Newton's Last Years
427(4)
9.5 Newton Dies
431(8)
10 The Early Challenges 439(34)
10.1 Bernard Nieuwentijt and Leibniz's Calculus
441(7)
10.1.1 A Life in North Holland
441(1)
10.1.2 Nieuwentijt's Short Philosophical Fame
442(1)
10.1.3 The Fight Against Leibniz's Infinitesimals of Higher Order
442(6)
10.2 Bishop Berkeley and Newton's Fluxions
448(17)
10.2.1 A Life between Theology, Science, and Tar Water
448(8)
10.2.2 Berkeley's Philosophy of Mathematics
456(2)
10.2.3 Of Infinities
458(2)
10.2.4 The Analyst
460(5)
10.3 The Reactions to Berkeley's Critique
465(2)
10.4 The Impact of Berkley's Critique
467(6)
11 The Aftermath of the War 473(18)
11.1 De Morgan's Work Concerning the Priority Dispute
474(8)
11.1.1 In Search of the 'True' Newton
475(5)
11.1.2 The Conflict with David Brewster
480(2)
11.2 England's Long Way to Analysis
482(9)
Epilogue 491(4)
Eberhard Knobloch's Epilogue 495(4)
References 499(12)
List of Figures 511(22)
Index of Names 533(10)
Subject Index 543
Biežāk uzdotie jautājumi par e-grāmatām Biežāk uzdotie jautājumi par e-grāmatām
Permanent link: https://www.kriso.lv/db/97833197256352e.html