Home| All Programs| Today added Progs| Download Status| Customers opinion| Helpdesk| Shopping cart| Logout ()

Program Search:

Shopping Cart:




*Note: Minimum order cost: $10
Maximum Total Price: $1000
We Recommend:
Differential Geometry Connections, Curvature, and Characteristic Classes $1 buy download

× Differential Geometry: Connections, Curvature, and Characteristic Classes Close
Differential Geometry: Connections, Curvature, and Characteristic Classes By Loring W. Tu
English | EPUB | 2017 | 358 Pages | ISBN : 3319550829 | 4.97 MB
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.



Download File Size:4.24 MB


Differential Geometry Connections, Curvature, and Characteristic Classes
$1
Customers who bought this program also bought:
  • Differential and Complex Geometry Origins, Abstractions and Embeddings $1
  • Danielle Bailly Betty Becker-Theye The Hidden Children of France 1940-1945 Stories of Survival PDF eBook $1
  • Cultures of Prediction in Atmospheric and Climate Science $1
  • How Do You Find an Exoplanet $1
  • Overview Of Gravitational Waves, An Theory, Sources And Detection $1
  • Radiation Imaging Detectors Using Soi Technology $1
  • Lynda.com Photoshop CS5 One on One Fundamentals (1 dvd) $25
  • Hellcats of the Sea PDF eBook $1
  • Christmas Truce The Western Front December 1914 PDF eBook $1
  • A Night Before Christmas The Sinking of the Troopship Leopoldville PDF eBook $1
  • Famines During the ʻLittle Ice Ageʼ (1300-1800) Socionatural Entanglements in Premodern Societies $1
  • Design of an Intelligent Embedded System for Condition Monitoring of an Industrial Robot by Alaa Abdulhady Jaber PDF eBook $1
  • Huge Collection of Electronics Introduction Textbooks PDF eBook $1
  • 1812 The March on Moscow $1
  • Inequalities An Approach Through Problems $1
  • LaTeX in 24 Hours A Practical Guide for Scientific Writing $1
  • Supernova Explosions $1
  • Enigma U-Boats Breaking the Code $1
  • Raspberry Pi Image Processing Programming Develop Real-Life Examples with Python, Pillow, and SciPy $1
  • Crusade, Commerce and Culture $1
  • MATLAB Machine Learning $1
  • Mathematical Models of Electrical Network Systems Theory and Applications - An Introduction $1
  • Essentials of Stochastic Processes, Third Edition $1
  • Harmonics in Offshore Wind Power Plants Application of Power Electronic Devices in Transmission Systems $1
  • Functional Analysis $1
  • Geometric Optics Theory and Design of Astronomical Optical Systems Using Mathematica®, Second edition $1
  • Outskirts of Galaxies $1
  • A Course in Applied Stochastic Processes $1
  • International Encyclopedia of Statistical Science $1
  • Graph Theory with Algorithms and its Applications In Applied Science and Technology $1

  • Home| All Programs| Today added Progs| Download Status| Customers opinion| Helpdesk| Shopping cart      
    Copyright 2006-2010 ©   LPStore   All Rights Reserved




                                           

    Cambridge University History Collection PDF eBooks $100

                       





    DxO Optics Pro 11.4.0 Build 11979 Elite Multilingual x64 $22


    SketchUp Pro 2017 17.2.2555 x64 $25


    Corel Painter 2018 18.1.0.651 Multilingual x64 $40






    FileMaker Pro 16 Advanced 16.0.3.302 x64 $60


    Pinnacle Studio Ultimate 21 $25


    CorelDRAW Graphics Suite 2017 $65