Richard Fitzpatrick – författare

This textbook provides a comprehensive review of Newtonian dynamics at a level suitable for undergraduate physics students. It demonstrates that Newton’s three laws of motion, combined with a few simple force laws, not only can describe the motions of everyday objects observed on the surface of the Earth, but can also account for the motions of celestial objects seen in the sky. It helps bridge the problematic transition between elementary physics courses and upper-division physics courses. The book starts off at a level suitable for undergraduate (freshman) physics students and very gradually increases, until, toward the end, it approaches (but does not quite reach) a level characteristic of a graduate (senior) physics course.

Each chapter of the book ends with a large number of numerical and analytical exercises and, in all appropriate cases, the final answers to the exercises are specified. The large number of exercises will allow students to accurately test their understanding of the material presented in the book, ideal for students who are self-studying or are taking classes remotely.

Key Features:

Provides a brief and accessible introduction to a complex topic

Contains a more thorough treatment of the motions of heavenly bodies than conventional elementary mechanics texts

Provides a wealth of end-of-chapter exercises to test understanding

Richard Fitzpatrick is a Professor of physics at the University of Texas at Austin, USA, where he has been a faculty member since 1994. He is a member of the Royal Astronomical Society, a fellow of the American Physical Society, and the author of several textbooks.

This textbook provides a comprehensive review of Newtonian dynamics at a level suitable for undergraduate physics students. It demonstrates that Newton’s three laws of motion, combined with a few simple force laws, not only can describe the motions of everyday objects observed on the surface of the Earth, but can also account for the motions of celestial objects seen in the sky. It helps bridge the problematic transition between elementary physics courses and upper-division physics courses. The book starts off at a level suitable for undergraduate (freshman) physics students and very gradually increases, until, toward the end, it approaches (but does not quite reach) a level characteristic of a graduate (senior) physics course.

Each chapter of the book ends with a large number of numerical and analytical exercises and, in all appropriate cases, the final answers to the exercises are specified. The large number of exercises will allow students to accurately test their understanding of the material presented in the book, ideal for students who are self-studying or are taking classes remotely.

Key Features:

Provides a brief and accessible introduction to a complex topic

Contains a more thorough treatment of the motions of heavenly bodies than conventional elementary mechanics texts

Provides a wealth of end-of-chapter exercises to test understanding

Richard Fitzpatrick is a Professor of physics at the University of Texas at Austin, USA, where he has been a faculty member since 1994. He is a member of the Royal Astronomical Society, a fellow of the American Physical Society, and the author of several textbooks.

Encompasses the Lectured Works of a Renowned Expert in the Field

Plasma Physics: An Introduction is based on a series of university course lectures by a leading name in the field, and thoroughly covers the physics of the fourth state of matter. This textbook provides a concise and cohesive introduction to plasma physics theory and offers a solid foundation for students of physics wishing to take higher level courses in plasma physics.

Mathematically Rigorous, but Driven by Physics

The author provides an in-depth discussion of the various fluid theories typically used in plasma physics, presenting non-relativistic, fully ionized, nondegenerate, quasi-neutral, and weakly coupled plasma. This second edition has been fully updated to include new content on collisions and magnetic reconnection.

It contains over 80 exercises—carefully selected for their pedagogical value—with fully worked out solutions available in a separate solutions manual for professors. The material presents a number of applications, and works through specific topics including basic plasma parameters, the theory of charged particle motion in inhomogeneous electromagnetic fields, collisions, plasma fluid theory, electromagnetic waves in cold plasmas, electromagnetic wave propagation through inhomogeneous plasmas, kinetic theory, magnetohydrodynamical fluid theory, and magnetic reconnection.

Features

Discusses fluid theory illustrated by the investigation of Langmuir sheaths

Explores charged particle motion illustrated by the investigation of charged particle trapping in the earth’s magnetosphere

Examines the MHD and WKB theories

Encompasses the Lectured Works of a Renowned Expert in the Field

Plasma Physics: An Introduction is based on a series of university course lectures by a leading name in the field, and thoroughly covers the physics of the fourth state of matter. This textbook provides a concise and cohesive introduction to plasma physics theory and offers a solid foundation for students of physics wishing to take higher level courses in plasma physics.

Mathematically Rigorous, but Driven by Physics

The author provides an in-depth discussion of the various fluid theories typically used in plasma physics, presenting non-relativistic, fully ionized, nondegenerate, quasi-neutral, and weakly coupled plasma. This second edition has been fully updated to include new content on collisions and magnetic reconnection.

It contains over 80 exercises—carefully selected for their pedagogical value—with fully worked out solutions available in a separate solutions manual for professors. The material presents a number of applications, and works through specific topics including basic plasma parameters, the theory of charged particle motion in inhomogeneous electromagnetic fields, collisions, plasma fluid theory, electromagnetic waves in cold plasmas, electromagnetic wave propagation through inhomogeneous plasmas, kinetic theory, magnetohydrodynamical fluid theory, and magnetic reconnection.

Features

Discusses fluid theory illustrated by the investigation of Langmuir sheaths

Explores charged particle motion illustrated by the investigation of charged particle trapping in the earth’s magnetosphere

Examines the MHD and WKB theories

This textbook provides a comprehensive review of Newtonian dynamics at a level suitable for undergraduate physics students. It demonstrates that Newton’s three laws of motion, combined with a few simple force laws, not only can describe the motions of everyday objects observed on the surface of the Earth, but can also account for the motions of celestial objects seen in the sky. It helps bridge the problematic transition between elementary physics courses and upper-division physics courses. The book starts off at a level suitable for undergraduate (freshman) physics students and very gradually increases, until, toward the end, it approaches (but does not quite reach) a level characteristic of a graduate (senior) physics course.Each chapter of the book ends with a large number of numerical and analytical exercises and, in all appropriate cases, the final answers to the exercises are specified. The large number of exercises will allow students to accurately test their understanding of the material presented in the book, ideal for students who are self-studying or are taking classes remotely.Key Features: Provides a brief and accessible introduction to a complex topic Contains a more thorough treatment of the motions of heavenly bodies than conventional elementary mechanics texts Provides a wealth of end-of-chapter exercises to test understandingRichard Fitzpatrick is a Professor of physics at the University of Texas at Austin, USA, where he has been a faculty member since 1994. He is a member of the Royal Astronomical Society, a fellow of the American Physical Society, and the author of several textbooks.

This textbook provides a comprehensive review of Newtonian dynamics at a level suitable for undergraduate physics students. It demonstrates that Newton’s three laws of motion, combined with a few simple force laws, not only can describe the motions of everyday objects observed on the surface of the Earth, but can also account for the motions of celestial objects seen in the sky. It helps bridge the problematic transition between elementary physics courses and upper-division physics courses. The book starts off at a level suitable for undergraduate (freshman) physics students and very gradually increases, until, toward the end, it approaches (but does not quite reach) a level characteristic of a graduate (senior) physics course.Each chapter of the book ends with a large number of numerical and analytical exercises and, in all appropriate cases, the final answers to the exercises are specified. The large number of exercises will allow students to accurately test their understanding of the material presented in the book, ideal for students who are self-studying or are taking classes remotely.Key Features: Provides a brief and accessible introduction to a complex topic Contains a more thorough treatment of the motions of heavenly bodies than conventional elementary mechanics texts Provides a wealth of end-of-chapter exercises to test understandingRichard Fitzpatrick is a Professor of physics at the University of Texas at Austin, USA, where he has been a faculty member since 1994. He is a member of the Royal Astronomical Society, a fellow of the American Physical Society, and the author of several textbooks.

Encompasses the Lectured Works of a Renowned Expert in the FieldPlasma Physics: An Introduction is based on a series of university course lectures by a leading name in the field, and thoroughly covers the physics of the fourth state of matter. This textbook provides a concise and cohesive introduction to plasma physics theory and offers a solid foundation for students of physics wishing to take higher level courses in plasma physics. Mathematically Rigorous, but Driven by PhysicsThe author provides an in-depth discussion of the various fluid theories typically used in plasma physics, presenting non-relativistic, fully ionized, nondegenerate, quasi-neutral, and weakly coupled plasma. This second edition has been fully updated to include new content on collisions and magnetic reconnection.It contains over 80 exercises—carefully selected for their pedagogical value—with fully worked out solutions available in a separate solutions manual for professors. The material presents a number of applications, and works through specific topics including basic plasma parameters, the theory of charged particle motion in inhomogeneous electromagnetic fields, collisions, plasma fluid theory, electromagnetic waves in cold plasmas, electromagnetic wave propagation through inhomogeneous plasmas, kinetic theory, magnetohydrodynamical fluid theory, and magnetic reconnection.FeaturesDiscusses fluid theory illustrated by the investigation of Langmuir sheathsExplores charged particle motion illustrated by the investigation of charged particle trapping in the earth’s magnetosphereExamines the MHD and WKB theories

Encompasses the Lectured Works of a Renowned Expert in the FieldPlasma Physics: An Introduction is based on a series of university course lectures by a leading name in the field, and thoroughly covers the physics of the fourth state of matter. This textbook provides a concise and cohesive introduction to plasma physics theory and offers a solid foundation for students of physics wishing to take higher level courses in plasma physics. Mathematically Rigorous, but Driven by PhysicsThe author provides an in-depth discussion of the various fluid theories typically used in plasma physics, presenting non-relativistic, fully ionized, nondegenerate, quasi-neutral, and weakly coupled plasma. This second edition has been fully updated to include new content on collisions and magnetic reconnection.It contains over 80 exercises—carefully selected for their pedagogical value—with fully worked out solutions available in a separate solutions manual for professors. The material presents a number of applications, and works through specific topics including basic plasma parameters, the theory of charged particle motion in inhomogeneous electromagnetic fields, collisions, plasma fluid theory, electromagnetic waves in cold plasmas, electromagnetic wave propagation through inhomogeneous plasmas, kinetic theory, magnetohydrodynamical fluid theory, and magnetic reconnection.FeaturesDiscusses fluid theory illustrated by the investigation of Langmuir sheathsExplores charged particle motion illustrated by the investigation of charged particle trapping in the earth’s magnetosphereExamines the MHD and WKB theories

Macroscopic Stability of Toroidally Confined Fusion Plasmas provides a comprehensive guide to the theory of magnetically confined plasma for fusion. Including the latest developments from the field, the book explores fusion-relevant, toroidal, axisymmetric, magnetic confinement devices, including reversed-field pinches, as well as tokamaks.It begins by defining the requirements and stability limits of fusion devices, then introduces plasma fluid theory and ideal magnetohydrodynamics (MHD). Subsequent chapters examine plasma stability under various conditions, including ideal and resistive effects, and distinguish between outer and inner plasma regions. It analyses axisymmetric and cylindrical equilibria, as well as specific instabilities like ideal external kink modes, ideal internal kink modes, tearing modes and resistive wall modes. The final chapters focus on tokamak stability, including vertical stability and behaviour at finite pressure, providing a comprehensive framework for understanding plasma confinement and instability in fusion systems.This book is an ideal reference for graduate students, postdoctoral researchers, and professional scientists who wish to learn more about the macroscopic stability of magnetically confined fusion plasmas.Key FeaturesProvides a complete, and up to date, exposition of macroscopic stability theory.Includes novel topics such as three-wave coupling in fusion plasmas.Offers a comprehensive treatment of the asymptotic matching approach to plasma stability calculation.

This accessible text on classical celestial mechanics, the principles governing the motions of bodies in the Solar System, provides a clear and concise treatment of virtually all of the major features of solar system dynamics. Building on advanced topics in classical mechanics such as rigid body rotation, Langrangian mechanics and orbital perturbation theory, this text has been written for advanced undergraduates and beginning graduate students in astronomy, physics, mathematics and related fields. Specific topics covered include Keplerian orbits, the perihelion precession of the planets, tidal interactions between the Earth, Moon and Sun, the Roche radius, the stability of Lagrange points in the three-body problem and lunar motion. More than 100 exercises allow students to gauge their understanding and a solutions manual is available to instructors. Suitable for a first course in celestial mechanics, this text is the ideal bridge to higher level treatments.

Emphasizing physics over mathematics, this popular, classroom-tested text helps advanced undergraduates acquire a sound physical understanding of wave phenomena. This second edition of Oscillations and Waves: An Introduction contains new widgets, animations in Python, and exercises, as well as updated chapter content throughout; continuing to ease the difficult transition for students between lower-division courses that mostly encompass algebraic equations and upper-division courses that rely on differential equations.Assuming familiarity with the laws of physics and college-level mathematics, the author covers aspects of optics that crucially depend on the wave-like nature of light, such as wave optics. Examples explore discrete mechanical, optical, and quantum mechanical systems; continuous gases, fluids, and elastic solids; electronic circuits; and electromagnetic waves. The text also introduces the conventional complex representation of oscillations and waves during the discussion of quantum mechanical waves.Features:Fully updated throughout and featuring new widgets, animations, and end of chapter exercises to enhance understandingOffers complete coverage of advanced topics in waves, such as electromagnetic wave propagation through the ionosphereIncludes examples from mechanical systems, elastic solids, electronic circuits, optical systems, and other areas

Emphasizing physics over mathematics, this popular, classroom-tested text helps advanced undergraduates acquire a sound physical understanding of wave phenomena. This second edition of Oscillations and Waves: An Introduction contains new widgets, animations in Python, and exercises, as well as updated chapter content throughout; continuing to ease the difficult transition for students between lower-division courses that mostly encompass algebraic equations and upper-division courses that rely on differential equations.Assuming familiarity with the laws of physics and college-level mathematics, the author covers aspects of optics that crucially depend on the wave-like nature of light, such as wave optics. Examples explore discrete mechanical, optical, and quantum mechanical systems; continuous gases, fluids, and elastic solids; electronic circuits; and electromagnetic waves. The text also introduces the conventional complex representation of oscillations and waves during the discussion of quantum mechanical waves.Features:Fully updated throughout and featuring new widgets, animations, and end of chapter exercises to enhance understandingOffers complete coverage of advanced topics in waves, such as electromagnetic wave propagation through the ionosphereIncludes examples from mechanical systems, elastic solids, electronic circuits, optical systems, and other areas

Emphasizing physics over mathematics, this popular, classroom-tested text helps advanced undergraduates acquire a sound physical understanding of wave phenomena. This second edition of Oscillations and Waves: An Introduction contains new widgets, animations in Python, and exercises, as well as updated chapter content throughout; continuing to ease the difficult transition for students between lower-division courses that mostly encompass algebraic equations and upper-division courses that rely on differential equations.

Assuming familiarity with the laws of physics and college-level mathematics, the author covers aspects of optics that crucially depend on the wave-like nature of light, such as wave optics. Examples explore discrete mechanical, optical, and quantum mechanical systems; continuous gases, fluids, and elastic solids; electronic circuits; and electromagnetic waves. The text also introduces the conventional complex representation of oscillations and waves during the discussion of quantum mechanical waves.

Features:

Fully updated throughout and featuring new widgets, animations, and end of chapter exercises to enhance understanding Offers complete coverage of advanced topics in waves, such as electromagnetic wave propagation through the ionosphere Includes examples from mechanical systems, elastic solids, electronic circuits, optical systems, and other areas

Emphasizing physics over mathematics, this popular, classroom-tested text helps advanced undergraduates acquire a sound physical understanding of wave phenomena. This second edition of Oscillations and Waves: An Introduction contains new widgets, animations in Python, and exercises, as well as updated chapter content throughout; continuing to ease the difficult transition for students between lower-division courses that mostly encompass algebraic equations and upper-division courses that rely on differential equations.

Assuming familiarity with the laws of physics and college-level mathematics, the author covers aspects of optics that crucially depend on the wave-like nature of light, such as wave optics. Examples explore discrete mechanical, optical, and quantum mechanical systems; continuous gases, fluids, and elastic solids; electronic circuits; and electromagnetic waves. The text also introduces the conventional complex representation of oscillations and waves during the discussion of quantum mechanical waves.

Features:

Fully updated throughout and featuring new widgets, animations, and end of chapter exercises to enhance understanding Offers complete coverage of advanced topics in waves, such as electromagnetic wave propagation through the ionosphere Includes examples from mechanical systems, elastic solids, electronic circuits, optical systems, and other areas

'A gripping, unsettling and authoritative portrait of football's original dark genius - brilliantly researched and superbly told.' GUILLEM BALAGU A wonderfully compelling biography... This is a story that, once read, you can't forget.' DUNCAN HAMILTON, THREE-TIME WILLIAM HILL AWARD WINNER'One Hel of a story... uncovers the explosive truth behind a man who went further than anyone else in his fierce desire to win.' THE SUN'Assiduously researched... tells Herrera's outrageous story with verve' FINANCIAL TIMESTHE STORY OF FOOTBALL'S MOST NOTORIOUS COACHNicknamed 'Il Mago' (The Wizard) after bringing European Cup glory to Inter Milan in successive years, Helenio Herrera was hailed as one of the finest minds in football. This explosive book explores the enigma of the incredibly charismatic 'HH': a philanderer, charlatan, trash-talker and serial winner mired in controversy. His stellar career was halted by the death of one of his star players and his subsequent trial for manslaughter. 'HH' revolutionised football coaching. Preparing his teams meticulously, he was obsessed with his players' mental toughness and introduced idiosyncratic psychological techniques. He made his name as a coach, winning La Liga twice with both Atl tico Madrid and Barcelona, but it was his move to Inter in 1960 that propelled him to stardom. His team won three scudetti in the mid-1960s and were only denied a third European Cup by Jock Stein's Celtic in 1967. HH reveals how Herrera was the original master of the game's dark arts. In Spain he introduced a regime of performance-enhancing drugs, and he continued this practice in Italy, which eventually led to his downfall. Featuring interviews with those who knew Herrera well including Fabio Capello, Sandro Mazzola, Ian St John and Denis Law HH is a fascinating story of deceit and intrigue, bloodshed, sex and glorious football.

'A gripping, unsettling and authoritative portrait of football's original dark genius - brilliantly researched and superbly told.' GUILLEM BALAGU A wonderfully compelling biography... This is a story that, once read, you can't forget.' DUNCAN HAMILTON, THREE-TIME WILLIAM HILL AWARD WINNER'One Hel of a story... uncovers the explosive truth behind a man who went further than anyone else in his fierce desire to win.' THE SUN'Assiduously researched... tells Herrera's outrageous story with verve' FINANCIAL TIMESTHE STORY OF FOOTBALL'S MOST NOTORIOUS COACHNicknamed 'Il Mago' (The Wizard) after bringing European Cup glory to Inter Milan in successive years, Helenio Herrera was hailed as one of the finest minds in football. This explosive book explores the enigma of the incredibly charismatic 'HH': a philanderer, charlatan, trash-talker and serial winner mired in controversy. His stellar career was halted by the death of one of his star players and his subsequent trial for manslaughter. 'HH' revolutionised football coaching. Preparing his teams meticulously, he was obsessed with his players' mental toughness and introduced idiosyncratic psychological techniques. He made his name as a coach, winning La Liga twice with both Atl tico Madrid and Barcelona, but it was his move to Inter in 1960 that propelled him to stardom. His team won three scudetti in the mid-1960s and were only denied a third European Cup by Jock Stein's Celtic in 1967. HH reveals how Herrera was the original master of the game's dark arts. In Spain he introduced a regime of performance-enhancing drugs, and he continued this practice in Italy, which eventually led to his downfall. Featuring interviews with those who knew Herrera well including Fabio Capello, Sandro Mazzola, Ian St John and Denis Law HH is a fascinating story of deceit and intrigue, bloodshed, sex and glorious football.

'A gripping, unsettling and authoritative portrait of football’s original dark genius — brilliantly researched and superbly told.' GUILLEM BALAGUÉA wonderfully compelling biography... This is a story that, once read, you can’t forget.' DUNCAN HAMILTON, THREE-TIME WILLIAM HILL AWARD WINNER'One Hel of a story... uncovers the explosive truth behind a man who went further than anyone else in his fierce desire to win.' THE SUN'Assiduously researched... tells Herrera's outrageous story with verve' FINANCIAL TIMESTHE STORY OF FOOTBALL’S MOST NOTORIOUS COACHNicknamed ‘Il Mago’ (The Wizard) after bringing European Cup glory to Inter Milan in successive years, Helenio Herrera was hailed as one of the finest minds in football.This explosive book explores the enigma of the incredibly charismatic ‘HH’: a philanderer, charlatan, trash-talker and serial winner mired in controversy. His stellar career was halted by the death of one of his star players and his subsequent trial for manslaughter.‘HH’ revolutionised football coaching. Preparing his teams meticulously, he was obsessed with his players’ mental toughness and introduced idiosyncratic psychological techniques. He made his name as a coach, winning La Liga twice with both Atlético Madrid and Barcelona, but it was his move to Inter in 1960 that propelled him to stardom. His team won three scudetti in the mid-1960s and were only denied a third European Cup by Jock Stein’s Celtic in 1967.HH reveals how Herrera was the original master of the game’s dark arts. In Spain he introduced a regime of performance-enhancing drugs, and he continued this practice in Italy, which eventually led to his downfall.Featuring interviews with those who knew Herrera well – including Fabio Capello, Sandro Mazzola, Ian St John and Denis Law – HH is a fascinating story of deceit and intrigue, bloodshed, sex and glorious football.

Barcelona and Real Madrid: two of the most powerfuland popular clubs in world football, and one of the world''s most bittersporting rivalries. Going far beyond the boundaries of just sport alone, thisis a rivalry at the heart of Spanish life, taking in politics and culture andsplitting a country in two.El Clásico gets to the heart of that rivalry, investigatingthe intrigue, the larger-than-life characters, the key flashpoints and theirconsequences. From civil war bloodshed to 40 years of fascism and links withGeneral Franco, the clubs'' shared history is the stuff of a Robert Harris noveland includes: murdered presidents from both clubs, player kidnappings, acts ofhooliganism - and that''s before you start thinking of the volatile football matchesthemselves.The book contains numerous interviews with key figuressuch as Luís Figoand Hristo Stoichkov (two of the main hate figures from both clubs), JoanLaporta (Barcelona''s most successful president and, having entered politics,Catalonian separatism''s poster boy) and various ex-players, ex-managers,agents, referees, hooligans, editors, historians, sociologists, filmmakers,novelists, photographers, TV presenters and celebrity fans.The two clubs are packed with international superstarplayers - including the world''s two best players in Leo Messi and Cristiano Ronaldo - and 10 of thestarting 11 players from Spain''s 2010 World Cup final victory play with either Barcelonaor Real Madrid.This is a storywith resonance around the sporting world, with many instantly recognisable figuresto an international audience such as Jose Mourinho. But it is also a tale of acountry divided by a bitter rivalry.

Real Madrid versus Barcelona is regarded by many as the most captivating fixture in world football. But it is not only the on-pitch battles that have forged their rivalry. From General Franco and bloody civil war to the Catalan city of Barcelona''s lukewarm reaction to Spain''s recent World Cup and European Championship triumphs, bitterness is never far from the surface. In El Clásico, Richard Fitzpatrick charts the key political and historical flashpoints between the two clubs. With exclusive interviews with key figures, including Luís Figo, Hristo Stoichkov, Joan Laporta and Vicente del Bosque, El Clásico is the definitive guide to football''s greatest feud.

Killer tales from an award-winning cinematographer and marine biologist. Marine biologist and underwater cameraman Richard ‘Shark Tracker’ Fitzpatrick wrangles sharks and other deadly marine creatures for a living. From the coral gardens of the Great Barrier Reef to the murky depths of the Amazon, Fitzpatrick shares his real-life experiences with predators of the deep – from sharks and box jellyfish to sea snakes. A mixture of mind-boggling anecdotes and science provide an intimate insight into marine life and the conservation issues at stake.

Designed for upper division electromagnetism courses or as a reference for electrical engineers and scientists, this book introduces Maxwell's equations and electromagnetic waves as soon as possible (i.e., in the first third of the book), and then goes on to discuss electrostatics, magnetostatics, induction, etc., in the light of those equations. The book also provides a thorough discussion of vector field theory which emphasizes the rotational invariance of the dot and cross products, together with div, grad, and curl, and thus gives a clear physical motivation for the use of those constructs to describe electric and magnetic fields. Unlike many competing books, Maxwell's Equations amp the Principles of Electromagnetism covers topics such as advanced potentials, retarded fields, forces on dielectric liquids, antenna theory, and Faraday rotations.

This book provides a comprehensive exposition of the theory of equilibrium thermodynamics and statistical mechanics at a level suitable for well-prepared undergraduate students. The fundamental message of the book is that all results in equilibrium thermodynamics and statistical mechanics follow from a single unprovable axiom — namely, the principle of equal a priori probabilities — combined with elementary probability theory, elementary classical mechanics, and elementary quantum mechanics.

This book provides a comprehensive exposition of the theory of equilibrium thermodynamics and statistical mechanics at a level suitable for well-prepared undergraduate students. The fundamental message of the book is that all results in equilibrium thermodynamics and statistical mechanics follow from a single unprovable axiom — namely, the principle of equal a priori probabilities — combined with elementary probability theory, elementary classical mechanics, and elementary quantum mechanics.