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Applications of Computer Algebra

Today, certain computer software systems exist which surpass the computational ability of researchers when their mathematical techniques are applied to many areas of science and engineering. These computer systems can perform a large portion of the calculations seen in mathematical analysis. Despite...

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Bibliographic Details
Other Authors: Pavelle, Richard (Editor)
Format: eBook
Language:English
Published: New York, NY Springer US 1985, 1985
Edition:1st ed. 1985
Subjects:
Symbolic And Algebraic Manipulation
Computer Science / Mathematics
Computer Software
Algebra
Mathematical Software
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • 1. MACSYMA: Capabilities and Applications to Problems in Engineering and the Sciences
  • 2. Modern Symbolic Mathematical Computation Systems
  • 3. Using VAXIMA to Write FORTRAN Code
  • 4. Applications of Symbolic Mathematics to Mathematics
  • 5. Past, Present, and Future Applications of Computer Algebra in Chemistry
  • 6. Symbolic Computation in Chemical Education
  • 7. A Lisp System for Chemical Groups: Wigner—Eckart Coefficients for Arbitrary Permutation Groups
  • 8. Polymer Modeling Applications of Symbolic Computation
  • 9. Stability Analysis and Optimal Control of a Photochemical Heat Engine
  • 10. Fourier Transform Algorithms for Spectral Analysis Derived with MACSYMA
  • 11. Computer Algebra as a Tool for Solving Optimal Control Problems
  • 12. Application of MACSYMA to Kinematics and Mechanical Systems
  • 13. Stability Analysis of a Robotic Mechanism Using Computer Algebra
  • 14. Derivation of the Hopf Bifurcation Formula Using Lindstedt’s Perturbation Method and MACSYMA
  • 15. Normal Form and Center Manifold Calculations on MACSYMA
  • 16. Symbolic Computation of the Stokes Wave
  • 17. Simplifying Large Algebraic Expressions by Computer
  • 18. A Proposal for the Solution of Quantum Field Theory Problems Using a Finite-Element Approximation
  • 19. Exact Solutions for Superlattices and How to Recognize Them with Computer Algebra
  • 20. Computer Generation of Symbolic Generalized Inverses and Applications to Physics and Data Analysis

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