The Road to Reality 真實之路 英文原版 [平裝] pdf epub mobi txt 電子書 下載 2025

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Roger Penrose（羅傑·彭羅斯） 著

齣版社： Knopf Group

ISBN：9780679776314

商品編碼：19041766

包裝：平裝

齣版時間：2007-01-09

用紙：膠版紙

頁數：1136

正文語種：英文

商品尺寸：15.75x4.83x23.37cm;1.18kg

內容簡介

Roger Penrose, one of the most accomplished scientists of our time, presents the only comprehensive and comprehensible account of the physics of the universe. From the very first attempts by the Greeks to grapple with the complexities of our known world to the latest application of infinity in physics, The Road to Reality carefully explores the movement of the smallest atomic particles and reaches into the vastness of intergalactic space. Here, Penrose examines the mathematical foundations of the physical universe, exposing the underlying beauty of physics and giving us one the most important works in modern science writing.

作者簡介

Roger Penrose is Emeritus Rouse Ball Professor of Mathematics at Oxford University. He has received a number of prizes and awards, including the 1988 Wolf Prize for physics, which he shared with Stephen Hawking for their joint contribution to our understanding of the universe. His books include The Emperor's New Mind, Shadows of the Mind, and The Nature of Space and Time, which he wrote with Hawking. He has lectured extensively at universities throughout America. He lives in Oxford.

目錄

Preface
Acknowledgements
Notation
Prologue
1 The roots of science
　1.1 The cluest for the forces that shape the world
　1.2 Mathematical truth
　1.3 Is Plato's mathematical world 'real'?
　1.4 Three worlds and three deep mysteries
　1.5 The Good, the True, and the Beautiful
2 An ancient theorem and a modern question
　2.1 The Pythagorean theorem
　2.2 Euclid's postulates
　2.3 Similar-areas proof of the Pythagorean theorem
　2.4 Hyperbolic geometry: conformal picture
　2.5 Other representations of hyperbolic geometry
　2.6 Historical aspects of hyperbolic geometry
　2.7 Relation to physical space
3 Kinds of number in the physical world
　3.1 A Pythagorean catastrophe?
　3.2 The real-number system
　3.3 Real numbers in the physical world
　3.4 Do natural numbers need the physical world?
　3.5 Discrete numbers in the physical world
4 Magical complex numbers
　4.1 The magic number 'i'
　4.2 Solving equations with complex numbers
　4.3 Convergence of power series
　4.4 Caspar Wessel's complex plane
　4.5 How to construct the Mandelbrot set
5 Geometry of logarithms, powers, and roots
　5.1 Geometry of complex algebra
　5.2 The idea of the complex logarithm
　5.3 Multiple valuedness, natural logarithms
　5.4 Complex powers
　5.5 Some relations to modern particle physics
6 Real-number calculus
　6.1 What makes an honest function?
　6.2 Slopes of functions
　6.3 Higher derivatives; C~-smooth functions
　6.4 The 'Eulerian' notion of a function?
　6.5 The rules of differentiation
　6.6 Integration
7 Complex-number calculus
　7.1 Complex smoothness; holomorphic functions
　7.2 Contour integration
　7.3 Power series from complex smoothness
　7.4 Analytic continuation
8 Riemann surfaces and complex mappings
　8.1 The idea of a Riemann surface
　8.2 Conformal mappings
　8.3 The Riemann sphere
　8.4 The genus of a compact Riemann surface
　8.5 The Riemann mapping theorem
9 Fourier decomposition and hyperfunctions
　9.1 Fourier series
　9.2 Functions on a circle
　9.3 Frequency splitting on the Riemann sphere
　9.4 The Fourier transform
　9.5 Frequency splitting from the Fourier transform
　9.6 What kind of function is appropriate?
　9.7 Hyperfunctions
10 Surfaces
11 Hypercomplex numbers
12 Manifolds of n dimensions
13 Symmetry groups
14 Calculus on manifolds
15 Fibre bundles and gauge connections
16 The ladder of infinity
17 Spacetime
18 Minkowskian geometry
19 The classical fields of maxwell and Einstein
20 Lagrangians and Hamiltonians
21 The quantum particle
22 Quantum algebra, geometry, and spin
23 The entangled quantum world
24 Dirac's electron and antiparticles
25 The standard model of particle physics
26 Quantum field theory
27 The Big Bang and its thermodynamic legacy
28 Speculative theories of the early universe
29 The measurement paradox
30 Gravity's rode in quantum state reduction

評分☆☆☆☆☆

評分☆☆☆☆☆

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評分☆☆☆☆☆

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書應該不錯。很有趣，還分內容進行難度提示，不過1000多頁...書的裝幀是膠水，不過這些都不是問題，趕緊領略內容吧！——下麵請尚未購買者自行略去不看，“赫拉剋利特（Heraclitus）時間”——事無定事，萬物皆流。我們看到的兔子，是完美的“本質兔子”的蒼白投影。那隻完美的、本質性的柏拉圖式兔子（以及所有完美的幾何圖形）就高懸在理想空間的某處。有血有肉的兔子可能會因變化而有所不同，但是它們的變異總披看作是從“完美兔性”(theidealessenceofrabbit）的偏差。 這幅圖策是多麼徹底地背離進化啊！柏拉圖主義者將兔子的任何變化，都視為對“本質兔”的散亂偏離，並且，總是有抗拒變化的阻力——仿佛所有真正的兔子和天上的“本質兔”都被無形的鬆緊繩拴在瞭•起。生命進化的觀點則與此完全相反―後代可以無限地脫離他們祖先的存在形式，井且每一次背離，都會成為未來變種的潛在祖先。沒有什麼永恒的‘兔性”(rabbitiness)，也沒有什麼高懸在天空的“本質兔”，隻有一群群毛茸茸的、長耳的、食糞的、鬍須頗動的個體，在大小、形狀、顔色和癖好方而，呈現某種統計分布。舊分布中偏在一隅的長耳兔，也許會發現自己在後來的地質時期成瞭新分布的中，心。假定兔子的世代有足夠龐大的代數，其祖先和後代的分布共至會沒有交集：祖先擁有的最長的耳朵，可能比後代中最短的耳朵還要短。進化論是多麼深刻，人生何嘗不是呢！

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評分☆☆☆☆☆

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評分☆☆☆☆☆

評分☆☆☆☆☆