Hurtig levering
Fremragende Trustpilot
Op til 20% Rabat på nye medlemsordrer
Kurv
Differential Geometry
Af: Loring W. Tu Engelsk Hardback
SPAR
kr 46
Differential Geometry
Af: Loring W. Tu Engelsk Hardback
This text presents a graduate-level introduction to differential geometry for mathematics and physics students. The exposition follows the historical development of the concepts of connection and curvature with the goal of explaining the Chern–Weil theory of characteristic classes on a principal bundle. Along the way we encounter some of the high points in the history of differential geometry, for example, Gauss'' Theorema Egregium and the Gauss–Bonnet theorem. Exercises throughout the book test the reader’s understanding of the material and sometimes illustrate extensions of the theory. Initially, the prerequisites for the reader include a passing familiarity with manifolds. After the first chapter, it becomes necessary to understand and manipulate differential forms. A knowledge of  de Rham cohomology is required for the last third of the text.

Prerequisite material is contained in author''s text An Introduction to Manifolds, and can be learned in one semester. For the benefit of the reader and to establish common notations, Appendix A recalls the basics of manifold theory. Additionally, in an attempt to make the exposition more self-contained, sections on algebraic constructions such as the tensor product and the exterior power are included.

Differential geometry, as its name implies, is the study of geometry using differential calculus. It dates back to Newton and Leibniz in the seventeenth century, but it was not until the nineteenth century, with the work of Gauss on surfaces and Riemann on the curvature tensor, that differential geometry flourished and its modern foundation was laid. Over the past one hundred years, differential geometry has proven indispensable to an understanding of the physical world, in Einstein''s general theory of relativity, in the theory of gravitation, in gauge theory, and now in string theory. Differential geometry is also useful in topology, several complex variables, algebraic geometry, complex manifolds, and dynamical systems, among other fields.  The field has even found applications to group theory as in Gromov''s work and to probability theory as in Diaconis''s work. It is not too far-fetched to argue that differential geometry should be in every mathematician''s arsenal.

Eksklusiv medlemspris 280 kr
Medlemspris 285 kr
Eksklusiv medlemspris og medlemspris er kun for medlemmer. Du bliver automatisk medlem når du køber til eksklusiv medlemspris eller medlemspris. Få 7 dages gratis medlemskab (herefter automatisk 89 kr/30 dage). Læs mere om fordelene
Gratis fragt
5 - 7 hverdage
10 kr
Lavt pakkegebyr
Bogen er desværre udsolgt fra forlaget - se andre bøger af samme genre her
Normalpris 326 kr
Fragt: 59 kr
7 - 10 hverdage
20 kr
Pakkegebyr
Bogen er desværre udsolgt fra forlaget - se andre bøger af samme genre her
Spar 46 kr
Se vores konkurrenters priser her
God 15.812 anmeldelser på
This text presents a graduate-level introduction to differential geometry for mathematics and physics students. The exposition follows the historical development of the concepts of connection and curvature with the goal of explaining the Chern–Weil theory of characteristic classes on a principal bundle. Along the way we encounter some of the high points in the history of differential geometry, for example, Gauss'' Theorema Egregium and the Gauss–Bonnet theorem. Exercises throughout the book test the reader’s understanding of the material and sometimes illustrate extensions of the theory. Initially, the prerequisites for the reader include a passing familiarity with manifolds. After the first chapter, it becomes necessary to understand and manipulate differential forms. A knowledge of  de Rham cohomology is required for the last third of the text.

Prerequisite material is contained in author''s text An Introduction to Manifolds, and can be learned in one semester. For the benefit of the reader and to establish common notations, Appendix A recalls the basics of manifold theory. Additionally, in an attempt to make the exposition more self-contained, sections on algebraic constructions such as the tensor product and the exterior power are included.

Differential geometry, as its name implies, is the study of geometry using differential calculus. It dates back to Newton and Leibniz in the seventeenth century, but it was not until the nineteenth century, with the work of Gauss on surfaces and Riemann on the curvature tensor, that differential geometry flourished and its modern foundation was laid. Over the past one hundred years, differential geometry has proven indispensable to an understanding of the physical world, in Einstein''s general theory of relativity, in the theory of gravitation, in gauge theory, and now in string theory. Differential geometry is also useful in topology, several complex variables, algebraic geometry, complex manifolds, and dynamical systems, among other fields.  The field has even found applications to group theory as in Gromov''s work and to probability theory as in Diaconis''s work. It is not too far-fetched to argue that differential geometry should be in every mathematician''s arsenal.

Produktdetaljer
Sprog: Engelsk
Sider: 347
ISBN-13: 9783319550824
Indbinding: Hardback
Udgave:
ISBN-10: 3319550829
Udg. Dato: 15 jun 2017
Længde: 25mm
Bredde: 240mm
Højde: 160mm
Oplagsdato: 15 jun 2017
Forfatter(e): Loring W. Tu
Forfatter(e) Loring W. Tu


Kategori Differential- og Riemannsk geometri


Sprog Engelsk


Indbinding Hardback


Sider 347


Udgave


Længde 25mm


Bredde 240mm


Højde 160mm

MEDLEMSFORDELE
GRATIS FRAGT
SPAR OP TIL 90%
Andre har også købt
BOG (INDBUNDET)
Eksklusiv medlemspris kr 380

kr 499
Normalpris
kr 392
Medlemspris
SPAR
kr 119
BOG (INDBUNDET)
Eksklusiv medlemspris kr 170

kr 270
Normalpris
kr 180
Medlemspris
SPAR
kr 100
BOG (INDBUNDET)
Eksklusiv medlemspris kr 859

kr 1.499
Normalpris
kr 923
Medlemspris
SPAR
kr 640
BOG (INDBUNDET)
Eksklusiv medlemspris kr 203

kr 300
Normalpris
kr 213
Medlemspris
SPAR
kr 97
BOG (INDBUNDET)
Eksklusiv medlemspris kr 262

kr 349
Normalpris
kr 271
Medlemspris
SPAR
kr 87
BOG (INDBUNDET)
Eksklusiv medlemspris kr 240

kr 349
Normalpris
kr 251
Medlemspris
SPAR
kr 109
BOG (INDBUNDET)
Eksklusiv medlemspris kr 118

kr 149
Normalpris
kr 121
Medlemspris
SPAR
kr 31
BOG (HARDBACK)
Eksklusiv medlemspris kr 25

kr 227
Normalpris
kr 45
Medlemspris
SPAR
kr 202
BOG (INDBUNDET)
Eksklusiv medlemspris kr 214

kr 320
Normalpris
kr 225
Medlemspris
SPAR
kr 106
BOG (HÆFTET)
Eksklusiv medlemspris kr 275

kr 320
Normalpris
kr 280
Medlemspris
SPAR
kr 45
BOG (HÆFTET)
Eksklusiv medlemspris kr 207

kr 269
Normalpris
kr 213
Medlemspris
SPAR
kr 62
BOG (HÆFTET)
Eksklusiv medlemspris kr 211

kr 299
Normalpris
kr 220
Medlemspris
SPAR
kr 88
BOG (INDBUNDET)
Eksklusiv medlemspris kr 194

kr 270
Normalpris
kr 202
Medlemspris
SPAR
kr 76
BOG (INDBUNDET)
Eksklusiv medlemspris kr 170

kr 270
Normalpris
kr 180
Medlemspris
SPAR
kr 100
BOG (INDBUNDET)
Eksklusiv medlemspris kr 216

kr 279
Normalpris
kr 222
Medlemspris
SPAR
kr 63
BOG (INDBUNDET)
Eksklusiv medlemspris kr 329

kr 499
Normalpris
kr 346
Medlemspris
SPAR
kr 170
BOG (HARDBACK)
Eksklusiv medlemspris kr 278

kr 325
Normalpris
kr 283
Medlemspris
SPAR
kr 47
BOG (HÆFTET)
Eksklusiv medlemspris kr 199

kr 269
Normalpris
kr 206
Medlemspris
SPAR
kr 70
BOG (HARDBACK)
Eksklusiv medlemspris kr 262

kr 349
Normalpris
kr 271
Medlemspris
SPAR
kr 87
BOG (INDBUNDET)
Eksklusiv medlemspris kr 179

kr 249
Normalpris
kr 186
Medlemspris
SPAR
kr 70