Ludwig Boltzmann The Man Who Trusted Atoms

by ;
Format: Hardcover
Pub. Date: 1998-12-10
Publisher(s): Oxford University Press
  • Free Shipping Icon

    This Item Qualifies for Free Shipping!*

    *Excludes marketplace orders.

List Price: $124.95

Buy New

Arriving Soon. Will ship when available.
$119.00

Rent Textbook

Select for Price
There was a problem. Please try again later.

Rent Digital

Rent Digital Options
Online:180 Days access
Downloadable:180 Days
$36.40
Online:365 Days access
Downloadable:365 Days
$42.00
Online:1460 Days access
Downloadable:Lifetime Access
$55.99
$43.68

Used Textbook

We're Sorry
Sold Out

How Marketplace Works:

  • This item is offered by an independent seller and not shipped from our warehouse
  • Item details like edition and cover design may differ from our description; see seller's comments before ordering.
  • Sellers much confirm and ship within two business days; otherwise, the order will be cancelled and refunded.
  • Marketplace purchases cannot be returned to eCampus.com. Contact the seller directly for inquiries; if no response within two days, contact customer service.
  • Additional shipping costs apply to Marketplace purchases. Review shipping costs at checkout.

Summary

The book presents the life and personality, the scientific and philosophical work of Ludwig Boltzmann, one of the great scientists who marked the passage from 19th to 20th century physics. His rich and tragic life, ending by suicide at the age of 62, is described in detail. A substantialpart of the book is devoted to discussing his scientific and philosophical ideas and placing them in the context of the second half of the 19th century. The fact that Boltzmann was the man who did most to establish that there is a microscopic, atomic structure underlying macroscopic bodies isdocumented, as is Boltzmann's influence on modern physics, especially through the work of Planck on light quanta and of Einstein on Brownian motion. Boltzmann was the centre of a scientific revolution, and he has been proved right on many crucial issues. He anticipated Kuhn's theory of scientificrevolutions and proposed a theory of knowledge based on Darwin. His basic results, when properly understood, can also be stated as mathematical theorems. Some of these have been proved; others are still at the level of likely but unproven conjectures. The main text of this biography is writtenalmost entirely without equations. Mathematical appendices deepen knowledge of some technical aspects of the subject.

Table of Contents

Figure acknowledgements xvii
Introduction 1(4)
1 A short biography of Ludwig Boltzmann
5(45)
1.1 Youth and happy years
5(15)
1.2 The crisis
20(2)
1.3 Restlessness
22(4)
1.4 Scientific debates and travels
26(8)
1.5 The tragic fate of a great scientist
34(3)
1.6 Boltzmann as a teacher
37(1)
1.7 Boltzmann and inventions
38(1)
1.8 Ludwig Boltzmann and his times
39(7)
1.9 A poem by Ludwig Boltzmann
46(2)
1.10 Boltzmann's personality
48(2)
2 Physics before Boltzmann
50(21)
2.1 From Galileo and Newton to the early atomic theories
50(6)
2.2 The first connections between heat and mechanical energy
56(3)
2.3 The springtime of thermodynamics
59(6)
2.4 Electricity and magnetism
65(6)
3 Kinetic theory before Boltzmann
71(15)
3.1 Early kinetic theories
71(9)
3.2 The beginnings of modern kinetic theory and the problem of justifying the Second Law
80(6)
4 The Boltzmann equation
86(10)
4.1 Irreversibility and kinetic theory
86(2)
4.2 The great paper of 1872
88(5)
4.3 A critique of Boltzmann's approach
93(3)
5 Time irreversibility and the H-theorem
96(24)
5.1 Introduction
96(1)
5.2 Loschmidt's paradox
97(3)
5.3 Poincare's recurrence and Zermelo's paradox
100(2)
5.4 The physical and mathematical resolution of the paradoxes
102(7)
5.5 Time's arrow and the expanding universe
109(3)
5.6 Is irreversibility objective or subjective?
112(6)
5.7 Concluding remarks
118(2)
6 Boltzmann's relation and the statistical interpretation of entropy
120(14)
6.1 The probabilistic interpretation of thermodynamics
120(1)
6.2 Explicit use of probability for a gas with discrete energies
121(4)
6.3 Energy is continuous
125(4)
6.4 The so-called H-curve
129(5)
7 Boltzmann, Gibbs, and equilibrium statistical mechanics
134(19)
7.1 Introduction
134(1)
7.2 A great American scientist of the nineteenth century: J.W. Gibbs
135(5)
7.3 Why is statistical mechanics usually attributed to Gibbs and not to Boltzmann?
140(2)
7.4 Gibbs's treatise
142(3)
7.5 French scientists on statistical mechanics
145(1)
7.6 The problem of trend to equilibrium and ergodic theory
146(4)
7.7 Planck and statistical mechanics
150(3)
8 The problem of polyatomic molecules
153(7)
8.1 The problem of specific heats
153(1)
8.2 The H-theorem for polyatomic molecules
154(1)
8.3 Specific heats again
155(2)
8.4 Boltzmann's ideas on specific heats, and twentieth century contributions
157(3)
9 Boltzmann's contributions to other branches of physics
160(10)
9.1 Boltzmann's testing of Maxwell's theory of electromagnetism
160(1)
9.2 Boltzmann lays the foundations of hereditary mechanics
161(1)
9.3 Back to electromagnetism
162(1)
9.4 A true pearl of theoretical physics
163(1)
9.5 Mathematics and foundations of mechanics
164(6)
10 Boltzmann as a philosopher
170(28)
10.1 A realist, but not a naive one
170(1)
10.2 Laws of thought and scientific concepts
177(4)
10.3 Ethics, aesthetics, religion
181(3)
10.4 Philosophy of science
184(5)
10.5 Boltzmann's views on scientific revolutions
189(2)
10.6 Boltzmann's education in philosophy
191(1)
10.7 Did Boltzmann abandon realism?
192(6)
11 Boltzmann and his contemporaries
198(16)
11.1 The contacts between Boltzmann and his colleagues
198(1)
11.2 Maxwell
198(2)
11.3 Lorentz
200(2)
11.4 Boltzmann and the energetists
202(8)
11.5 Planck
210(1)
11.6 Students and younger colleagues
211(3)
12 The influence of Boltzmann's ideas on the science and technology of the twentieth century
214(12)
12.1 Brownian motion
214(1)
12.2 Enter Einstein
215(2)
12.3 Black-body radiation
217(3)
12.4 Einstein again
220(3)
12.5 The role of Boltzmann's ideas during the twentieth century
223(3)
Epilogue 226(1)
Chronology 227(4)
"A German professor's journey into Eldorado" 231(20)
Appendices 251(46)
A 3.1 Calculation of pressure in a rarefied gas 251(4)
A 4.1 The Liouville equation 255(4)
A 4.2 Calculation of the effect of collisions of one particle with another 259(2)
A 4.3 The BBGKY hierarchy 261(3)
A 4.4 The Boltzmann hierarchy and its relation to the Boltzmann equation 264(2)
A 4.5 The Boltzmann equation in the homogeneous isotropic case 266(1)
A 5.1 Collision-invariants 267(4)
A 5.2 Boltzmann's inequality and the Maxwell distribution 271(2)
A 5.3 The H-theorem 273(4)
A 5.4 The hourglass model 277(3)
A 6.1 Likelihood of a distribution 280(3)
A 7.1 The canonical distribution for equilibrium states 283(4)
A 8.1 The H-theorem for classical polyatomic molecules 287(4)
A 8.2 The equipartition problem 291(3)
A 9.1 The Stefan-Boltzmann law 294(1)
A 9.2 Wien's law 295(2)
References 297(22)
Index 319

An electronic version of this book is available through VitalSource.

This book is viewable on PC, Mac, iPhone, iPad, iPod Touch, and most smartphones.

By purchasing, you will be able to view this book online, as well as download it, for the chosen number of days.

Digital License

You are licensing a digital product for a set duration. Durations are set forth in the product description, with "Lifetime" typically meaning five (5) years of online access and permanent download to a supported device. All licenses are non-transferable.

More details can be found here.

A downloadable version of this book is available through the eCampus Reader or compatible Adobe readers.

Applications are available on iOS, Android, PC, Mac, and Windows Mobile platforms.

Please view the compatibility matrix prior to purchase.