Buy The Special Theory of Relativity by Anadijiban Das
Book 1
Book 2
Book 3
Book 1
Book 2
Book 3
Book 1
Book 2
Book 3
Book 1
Book 2
Book 3
Home > Mathematics and Science Textbooks > Physics > Relativity physics > The Special Theory of Relativity: A Mathematical Exposition(Universitext)
36%
The Special Theory of Relativity: A Mathematical Exposition(Universitext)

The Special Theory of Relativity: A Mathematical Exposition(Universitext)


     0     
5
4
3
2
1



Available


X
About the Book

Based on courses taught at the University of Dublin, Carnegie Mellon University, and mostly at Simon Fraser University, this book presents the special theory of relativity from a mathematical point of view. It begins with the axioms of the Minkowski vector space and the flat spacetime manifold. Then it discusses the kinematics of special relativity in terms of Lorentz tranformations, and treats the group structure of Lorentz transformations. Extending the discussion to spinors, the author shows how a unimodular mapping of spinor (vector) space can induce a proper, orthochronous Lorentz mapping on the Minkowski vector space. The second part begins with a discussion of relativistic particle mechanics from both the Lagrangian and Hamiltonian points of view. The book then turns to the relativistic (classical) field theory, including a proof of Noether's theorem and discussions of the Klein-Gordon, electromagnetic, Dirac, and non-abelian gauge fields. The final chapter deals with recent work on classical fields in an eight-dimensional covariant phase space.

Table of Contents:
1. Four-Dimensional Vector Spaces and Linear Mappings.- 1.1. Minkowski Vector Space V4.- 1.2. Lorentz Mappings of V4.- 1.3. The Minkowski Tensors.- 2. Flat Minkowski Space-Time Manifold M4 and Tensor Fields.- 2.1. A Four-Dimensional Differentiable Manifold.- 2.2. Minkowski Space-Time M4 and the Separation Function.- 2.3. Flat Submanifolds of Minkowski Space-Time M4.- 2.4. Minkowski Tensor Fields on M4.- 3. The Lorentz Transformation.- 3.1. Applications of the Lorentz Transformation.- 3.2. The Lorentz Group ?4.- 3.3. Real Representations of the Lorentz Group ?4.- 3.4. The Lie Group ?+4+.- 4. Pauli Matrices, Spinors, Dirac Matrices, and Dirac Bispinors.- 4.1. Pauli Matrices, Rotations, and Lorentz Transformations.- 4.2. Spinors and Spinor-Tensors.- 4.3. Dirac Matrices and Dirac Bispinors.- 5. The Special Relativistic Mechanics.- 5.1. The Prerelativistic Particle Mechanics.- 5.2. Prerelativistic Particle Mechanics in Space and Time E3 × ?.- 5.3. The Relativistic Equation of Motion of a Particle.- 5.4. The Relativistic Lagrangian and Hamiltonian Mechanics of a Particle.- 6. The Special Relativistic Classical Field Theory.- 6.1. Variational Formalism for Relativistic Classical Fields.- 6.2. The Klein-Gordon Scalar Field.- 6.3. The Electromagnetic Tensor Field.- 6.4. Nonabelian Gauge Fields.- 6.5. The Dirac Bispinor Field.- 6.6. Interaction of the Dirac Field with Gauge Fields.- 7. The Extended (or Covariant) Phase Space and Classical Fields.- 7.1. Classical Fields.- 7.2. The Generalized Klein-Gordon Equation.- 7.3. Spin-½ Fields in the Extended Phase Space.- Answers and Hints to Selected Exercises.- Index of Symbols.


Best Sellers


Product Details
  • ISBN-13: 9780387940427
  • Publisher: Springer-Verlag New York Inc.
  • Publisher Imprint: Springer-Verlag New York Inc.
  • Height: 235 mm
  • No of Pages: 232
  • Returnable: Y
  • Sub Title: A Mathematical Exposition
  • ISBN-10: 0387940421
  • Publisher Date: 24 Sep 1993
  • Binding: Paperback
  • Language: English
  • Returnable: Y
  • Series Title: Universitext
  • Width: 155 mm


Similar Products

Add Photo
Add Photo

Customer Reviews

REVIEWS      0     
Click Here To Be The First to Review this Product
The Special Theory of Relativity: A Mathematical Exposition(Universitext)
Springer-Verlag New York Inc. -
The Special Theory of Relativity: A Mathematical Exposition(Universitext)
Writing guidlines
We want to publish your review, so please:
  • keep your review on the product. Review's that defame author's character will be rejected.
  • Keep your review focused on the product.
  • Avoid writing about customer service. contact us instead if you have issue requiring immediate attention.
  • Refrain from mentioning competitors or the specific price you paid for the product.
  • Do not include any personally identifiable information, such as full names.

The Special Theory of Relativity: A Mathematical Exposition(Universitext)

Required fields are marked with *

Review Title*
Review
    Add Photo Add up to 6 photos
    Would you recommend this product to a friend?
    Tag this Book Read more
    Does your review contain spoilers?
    What type of reader best describes you?
    I agree to the terms & conditions
    You may receive emails regarding this submission. Any emails will include the ability to opt-out of future communications.

    CUSTOMER RATINGS AND REVIEWS AND QUESTIONS AND ANSWERS TERMS OF USE

    These Terms of Use govern your conduct associated with the Customer Ratings and Reviews and/or Questions and Answers service offered by Bookswagon (the "CRR Service").


    By submitting any content to Bookswagon, you guarantee that:
    • You are the sole author and owner of the intellectual property rights in the content;
    • All "moral rights" that you may have in such content have been voluntarily waived by you;
    • All content that you post is accurate;
    • You are at least 13 years old;
    • Use of the content you supply does not violate these Terms of Use and will not cause injury to any person or entity.
    You further agree that you may not submit any content:
    • That is known by you to be false, inaccurate or misleading;
    • That infringes any third party's copyright, patent, trademark, trade secret or other proprietary rights or rights of publicity or privacy;
    • That violates any law, statute, ordinance or regulation (including, but not limited to, those governing, consumer protection, unfair competition, anti-discrimination or false advertising);
    • That is, or may reasonably be considered to be, defamatory, libelous, hateful, racially or religiously biased or offensive, unlawfully threatening or unlawfully harassing to any individual, partnership or corporation;
    • For which you were compensated or granted any consideration by any unapproved third party;
    • That includes any information that references other websites, addresses, email addresses, contact information or phone numbers;
    • That contains any computer viruses, worms or other potentially damaging computer programs or files.
    You agree to indemnify and hold Bookswagon (and its officers, directors, agents, subsidiaries, joint ventures, employees and third-party service providers, including but not limited to Bazaarvoice, Inc.), harmless from all claims, demands, and damages (actual and consequential) of every kind and nature, known and unknown including reasonable attorneys' fees, arising out of a breach of your representations and warranties set forth above, or your violation of any law or the rights of a third party.


    For any content that you submit, you grant Bookswagon a perpetual, irrevocable, royalty-free, transferable right and license to use, copy, modify, delete in its entirety, adapt, publish, translate, create derivative works from and/or sell, transfer, and/or distribute such content and/or incorporate such content into any form, medium or technology throughout the world without compensation to you. Additionally,  Bookswagon may transfer or share any personal information that you submit with its third-party service providers, including but not limited to Bazaarvoice, Inc. in accordance with  Privacy Policy


    All content that you submit may be used at Bookswagon's sole discretion. Bookswagon reserves the right to change, condense, withhold publication, remove or delete any content on Bookswagon's website that Bookswagon deems, in its sole discretion, to violate the content guidelines or any other provision of these Terms of Use.  Bookswagon does not guarantee that you will have any recourse through Bookswagon to edit or delete any content you have submitted. Ratings and written comments are generally posted within two to four business days. However, Bookswagon reserves the right to remove or to refuse to post any submission to the extent authorized by law. You acknowledge that you, not Bookswagon, are responsible for the contents of your submission. None of the content that you submit shall be subject to any obligation of confidence on the part of Bookswagon, its agents, subsidiaries, affiliates, partners or third party service providers (including but not limited to Bazaarvoice, Inc.)and their respective directors, officers and employees.

    Accept

    Fresh on the Shelf


    Inspired by your browsing history


    Your review has been submitted!

    You've already reviewed this product!