The Road to Reality 真实之路 英文原版 [平装] 下载 mobi epub pdf 电子书 2024

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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

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

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3学院特色

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大赞！看了这本书的一段话立刻就懂了纤维丛的几何概念是如何从流形概念扩展出来的，而之前读微分几何是无论如何也扛不过那些繁复的概念的，Penrose此人很重几何直观，有很多美妙的示意图，很多思想是值得注意的。显然，理论物理或数学研究生以上的读者将从此书得到最大的益处。因为本书展示的是物理和数学的相互交织，其他领域的读者没有必要啃此书了。

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三一学院的巨庭，中间是一个喷泉。三一学院的整个建筑群在17世纪初时进行过大规模的整修，这是在当时的院长托马斯·纳维尔（Thomas Nevile）的亲自设计主持下完成的。整个宏伟的建筑设计方案包括将古老的钟楼移动20码，以空出足够的空间来建造巨庭（The Great Court）一个哥特风格的庭院。

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中文版还没啃完，估计这个要当装饰品了…

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　　少时白衣胜雪，逐月追星，笑问春柳向谁依；

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巴罗是牛顿的老师，1673年他在担任三一学院的院长时，为三一学院主持建造了几百年后被联合国评定为世界文化遗产的莱恩图书馆。图书馆屋顶上伫立着由加布里尔设计的四尊石雕，分别象征着四门最古老的学科：神学、法学、物理学和数学。而另一位建筑大师莱恩则设计了图书馆的整体构架，如今我们看到的古朴而又独具匠心的书架、书桌和书托全都出自于他的构思，图书馆也因他而得名。

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