The Road to Reality 真實之路 英文原版 [平裝]

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

Roger Penrose(羅傑·彭羅斯) 著
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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

具體描述

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

用戶評價

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在PageOne偶遇,JD的價格真實惠。

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編輯

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很好的書,不錯。很好的書,不錯。

評分

我們再從宏觀上來看,太陽係是由發光發熱的巨大的核反應堆和圍繞太陽鏇轉的幾大行星組成,太陽係中的行星,都是圍著太陽鏇轉的,不難發現,這種結構與原子的結構何其相似!銀河係的結構正像是我們瞭解的其它物質一樣,如果我們以更大的視點來看它,說它是某個巨型物質的一個分子或是一個組織細胞不是也很確切嗎?

評分

巴羅是牛頓的老師,1673年他在擔任三一學院的院長時,為三一學院主持建造瞭幾百年後被聯閤國評定為世界文化遺産的萊恩圖書館。圖書館屋頂上佇立著由加布裏爾設計的四尊石雕,分彆象徵著四門最古老的學科:神學、法學、物理學和數學。而另一位建築大師萊恩則設計瞭圖書館的整體構架,如今我們看到的古樸而又獨具匠心的書架、書桌和書托全都齣自於他的構思,圖書館也因他而得名。

評分

Penrose的書 值得一讀 不容易懂就是瞭

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