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The Road to Reality A Complete Guide to the Laws of the Universe

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Beschreibung

Produktdetails

Verkaufsrang

28112

Einband

Taschenbuch

Erscheinungsdatum

09.01.2007

Abbildungen

ILL.

Verlag

Vintage, London

Seitenzahl

1136

Maße (L/B/H)

15,5/23,1/5,1 cm

Gewicht

1084 g

Farbe

Aquamarin

Sprache

Englisch

ISBN

978-0-679-77631-4

Beschreibung

Rezension

A comprehensive guide to physics big picture, and to the thoughts of one of the world s most original thinkers. The New York Times

Simply astounding. . . . Gloriously variegated. . . . Pure delight. . . . It is shocking that so much can be explained so well. . . . Penrose gives us something that has been missing from the public discourse on science lately a reason to live, something to look forward to. American Scientist

A remarkable book . . . teeming with delights. Nature

This is his magnum opus, the culmination of an already stellar career and a comprehensive summary of the current state of physics and cosmology. It should be read by anyone entering the field and referenced by everyone working in it. The New York Sun

Extremely comprehensive. . . . The Road to Reality unscores the fact that Penrose is one of the world s most original thinkers. Tucson Citizen

What a joy it is to read a book that doesn't simplify, doesn't dodge the difficult questions, and doesn't always pretend to have answers. . . . Penrose s appetite is heroic, his knowledge encyclopedic, his modesty a reminder that not all physicists claim to be able to explain the world in 250 pages.
The Times (London)

For physics fans, the high point of the year will undoubtedly be The Road to Reality.
The Guardian

A truly remarkable book...Penrose does much to reveal the beauty and subtlety that connects nature and the human imagination, demonstrating that the quest to understand the reality of our physical world, and the extent and limits of our mental capacities, is an awesome, never-ending journey rather than a one-way cul-de-sac. London Sunday Times

Penrose s work is genuinely magnificent, and the most stimulating book I have read in a long time. Scotland on Sunday

Science needs more people like Penrose, willing and able to point out the flaws in fashionable models from a position of authority and to signpost alternative roads to follow. The Independent

Produktdetails

Verkaufsrang

28112

Einband

Taschenbuch

Erscheinungsdatum

09.01.2007

Abbildungen

ILL.

Verlag

Vintage, London

Seitenzahl

1136

Maße (L/B/H)

15,5/23,1/5,1 cm

Gewicht

1084 g

Farbe

Aquamarin

Sprache

Englisch

ISBN

978-0-679-77631-4

Herstelleradresse

Libri GmbH
Europaallee 1
36244 Bad Hersfeld
DE

Email: gpsr@libri.de

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  • Ameyah

    5/5

    05.06.2017

    Buch (Taschenbuch)

    Road To Reality bietet eine…

    Road To Reality bietet eine große Auswahl an wichtigen Werkzeugen für uns Physiker und die Concepte und Ideen sind leicht zugänglich erklärt und somit fällt es deutlich einfacher tiefer zu gehen und in die Fachliteratur einzusteigen. Ausserdem eignet sich RTR gut als Wegweiser, als mathematische Landkarte für die Physik und die mathematische Physik. Lösungen finden sich im Internet, jedoch finde ich teilweise die formulierung der Aufgaben etwas vage, liegt nicht an mir, habe auch andere zu bemängelt. Man bekommt für den Preis über 1000 Seiten und eine große Bibliography am Ende des Buches. Nur zu empfehlen!

    #2721179

Kundinnen und Kunden meinen

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  • Produktbild: The Road to Reality
  • Preface
    Acknowledgements
    Notation
    Prologue

    1 The roots of science
    1.1 The quest 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; C1-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
    10.1 Complex dimensions and real dimensions
    10.2 Smoothness, partial derivatives
    10.3 Vector Fields and 1-forms
    10.4 Components, scalar products
    10.5 The Cauchy Riemann equations

    11 Hypercomplex numbers
    11.1 The algebra of quaternions
    11.2 The physical role of quaternions?
    11.3 Geometry of quaternions
    11.4 How to compose rotations
    11.5 Clifford algebras
    11.6 Grassmann algebras

    12 Manifolds of n dimensions
    12.1 Why study higher-dimensional manifolds?
    12.2 Manifolds and coordinate patches
    12.3 Scalars, vectors, and covectors
    12.4 Grassmann products
    12.5 Integrals of forms
    12.6 Exterior derivative
    12.7 Volume element; summation convention
    12.8 Tensors; abstract-index and diagrammatic notation
    12.9 Complex manifolds

    13 Symmetry groups
    13.1 Groups of transformations
    13.2 Subgroups and simple groups
    13.3 Linear transformations and matrices
    13.4 Determinants and traces
    13.5 Eigenvalues and eigenvectors
    13.6 Representation theory and Lie algebras
    13.7 Tensor representation spaces; reducibility
    13.8 Orthogonal groups
    13.9 Unitary groups
    13.10 Symplectic groups

    14 Calculus on manifolds
    14.1 Differentiation on a manifold?
    14.2 Parallel transport
    14.3 Covariant derivative
    14.4 Curvature and torsion
    14.5 Geodesics, parallelograms, and curvature
    14.6 Lie derivative
    14.7 What a metric can