Skip to content
Register Sign in Wishlist
Look Inside A Treatise on Universal Algebra

A Treatise on Universal Algebra
With Applications

£35.99

Part of Cambridge Library Collection - Mathematics

  • Date Published: July 2009
  • availability: Available
  • format: Paperback
  • isbn: 9781108001687

£ 35.99
Paperback

Add to cart Add to wishlist

Looking for an inspection copy?

This title is not currently available on inspection

Description
Product filter button
Description
Contents
Resources
Courses
About the Authors
  • Alfred North Whitehead (1861–1947) was equally celebrated as a mathematician, a philosopher and a physicist. He collaborated with his former student Bertrand Russell on the first edition of Principia Mathematica (published in three volumes between 1910 and 1913), and after several years teaching and writing on physics and the philosophy of science at University College London and Imperial College, was invited to Harvard to teach philosophy and the theory of education. A Treatise on Universal Algebra was published in 1898, and was intended to be the first of two volumes, though the second (which was to cover quaternions, matrices and the general theory of linear algebras) was never published. This book discusses the general principles of the subject and covers the topics of the algebra of symbolic logic and of Grassmann's calculus of extension.

    Customer reviews

    Not yet reviewed

    Be the first to review

    Review was not posted due to profanity

    ×

    , create a review

    (If you're not , sign out)

    Please enter the right captcha value
    Please enter a star rating.
    Your review must be a minimum of 12 words.

    How do you rate this item?

    ×

    Product details

    • Date Published: July 2009
    • format: Paperback
    • isbn: 9781108001687
    • length: 620 pages
    • dimensions: 244 x 170 x 32 mm
    • weight: 0.97kg
    • availability: Available
  • Table of Contents

    Part I. Principles of Algebraic Symbolism:
    1. On the nature of a calculus
    2. Manifolds
    3. Principles of universal algebra
    Part II. The Algebra of Symbolic Logic:
    1. The algebra of symbolic logic
    2. The algebra of symbolic logic (continued)
    3. Existential expressions
    4. Application to logic
    5. Propositional interpretation
    Part III. Positional Manifolds:
    1. Fundamental propositions
    2. Straight lines and planes
    3. Quadrics
    4. Intensity
    Part IV. Calculus of Extension:
    1. Combinatorial multiplication
    2. Regressive multiplication
    3. Supplements
    4. Descriptive geometry
    5. Descriptive geometry of conics and cubics
    6. Matrices
    Part V. Extensive Manifolds of Three Dimensions:
    1. Systems of forces
    2. Groups of systems of forces
    3. In variants of groups
    4. Matrices and forces
    Part VI. Theory of Metrics:
    1. Theory of distance
    2. Elliptic geometry
    3. Extensive manifolds and elliptic geometry
    4. Hyperbolic geometry
    5. Hyperbolic geometry (continued)
    6. Kinematics in three dimensions
    7. Curves and surfaces
    8. Transition to parabolic geometry
    Part VII. The Calculus of Extension to Geometry:
    1. Vectors
    2. Vectors (continued)
    3. Curves and surfaces
    4. Pure vector formulae.

  • Author

    Alfred North Whitehead

Sign In

Please sign in to access your account

Cancel

Not already registered? Create an account now. ×

Sorry, this resource is locked

Please register or sign in to request access. If you are having problems accessing these resources please email lecturers@cambridge.org

Register Sign in
Please note that this file is password protected. You will be asked to input your password on the next screen.

» Proceed

You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner www.ebooks.com. Please see the permission section of the www.ebooks.com catalogue page for details of the print & copy limits on our eBooks.

Continue ×

Continue ×

Continue ×

Find content that relates to you

Join us online

This site uses cookies to improve your experience. Read more Close

Are you sure you want to delete your account?

This cannot be undone.

Cancel

Thank you for your feedback which will help us improve our service.

If you requested a response, we will make sure to get back to you shortly.

×
Please fill in the required fields in your feedback submission.
×