The Road to Reality 真实之路 英文原版 [平装] pdf epub mobi txt 电子书 下载 2025

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Roger Penrose（罗杰·彭罗斯） 著

出版社： Knopf Group

ISBN：9780679776314

商品编码：19041766

包装：平装

出版时间：2007-01-09

用纸：胶版纸

页数：1136

正文语种：英文

商品尺寸：15.75x4.83x23.37cm;1.18kg

内容简介

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.

作者简介

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.

目录

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

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　　蓝徽容与他对望片刻，望向西北方向碧蓝的天空，轻声道：“皇上，母亲曾教过我一首歌，我唱给您听，可好？”

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皇帝大笑着起身：“容儿倒是比朕的儿子还要了解朕的心意！”

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内容很不错，清楚地介绍了理论物理的数学基础

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纸张不太好，其他还可以

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书应该不错。很有趣，还分内容进行难度提示，不过1000多页...书的装帧是胶水，不过这些都不是问题，赶紧领略内容吧！——下面请尚未购买者自行略去不看，“赫拉克利特（Heraclitus）时间”——事无定事，万物皆流。我们看到的兔子，是完美的“本质兔子”的苍白投影。那只完美的、本质性的柏拉图式兔子（以及所有完美的几何图形）就高悬在理想空间的某处。有血有肉的兔子可能会因变化而有所不同，但是它们的变异总披看作是从“完美兔性”(theidealessenceofrabbit）的偏差。 这幅图策是多么彻底地背离进化啊！柏拉图主义者将兔子的任何变化，都视为对“本质兔”的散乱偏离，并且，总是有抗拒变化的阻力——仿佛所有真正的兔子和天上的“本质兔”都被无形的松紧绳拴在了•起。生命进化的观点则与此完全相反―后代可以无限地脱离他们祖先的存在形式，井且每一次背离，都会成为未来变种的潜在祖先。没有什么永恒的‘兔性”(rabbitiness)，也没有什么高悬在天空的“本质兔”，只有一群群毛茸茸的、长耳的、食粪的、胡须颇动的个体，在大小、形状、颜色和癖好方而，呈现某种统计分布。旧分布中偏在一隅的长耳兔，也许会发现自己在后来的地质时期成了新分布的中，心。假定兔子的世代有足够庞大的代数，其祖先和后代的分布共至会没有交集：祖先拥有的最长的耳朵，可能比后代中最短的耳朵还要短。进化论是多么深刻，人生何尝不是呢！

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不错