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Look Inside Modular Invariants

Modular Invariants

$21.99

Part of Cambridge Tracts in Mathematics

  • Date Published: March 2015
  • availability: Available
  • format: Paperback
  • isbn: 9781107493766

$ 21.99
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  • Originally published in 1932 as number twenty=seven in the Cambridge Tracts in Mathematics and Mathematical Physics series, this book provides a concise account of the theory of modular invariants as embodied in the work of Dickson, Glenn and Hazlett. Appendices are included. This book will be of value to anyone with an interest in modular invariants and the history of mathematics.

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    Product details

    • Date Published: March 2015
    • format: Paperback
    • isbn: 9781107493766
    • length: 94 pages
    • dimensions: 216 x 140 x 6 mm
    • weight: 0.13kg
    • availability: Available
  • Table of Contents

    Preface
    Part I:
    1. A new notation
    2. Galois fields and Fermat's theorem
    3. Transformations in the Galois fields
    4. Types of concomitants
    5. Systems and finiteness
    6. Symbolical notation
    7. Generators of linear transformations
    8. Weight and isobarbism
    9. Congruent concomitants
    10. Relation between congruent and algebraic covariants
    11. Formal covariants
    13. Dickson's theorem
    14. Formal invariants of linear form
    15. The use of symbolical operators
    16. Annihilators of formal invariants
    17. Dickson's method for formal covariants
    18. Symbolical representation of pseudo-isobaric formal covariants
    19. Classes
    20. Characteristic invariants
    21. Syzygies
    22. Residual covariants
    23. Miss Sanderson's theorem
    24. A method of finding characteristic invariants
    25. Smallest full systems
    26. Residual invariants of linear forms
    27. Residual invariants of quadratic forms
    28. Cubic and higher forms
    29. Relative unimportance of residual covariants
    30. Non-formal residual covariants
    Part II:
    31. Rings and fields
    32. Expansions
    33. Isomorphism
    34. Finite expansions
    35. Transcendental and algebraic expansions
    36. Rational basis theorem of E. Noether
    37. The fields Ky+/-f
    38. Expansions of the first and second sorts
    39. The theorem on divisor chains
    40. R-modules
    41. A theorem of Artin and of van der Waerden
    42. The finiteness criterion of E. Noether
    43. Application of E. Noether's theorem to modular covariants
    Appendix I
    Appendix II
    Appendix III
    Index.

  • Author

    D. E. Rutherford

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