Mathematical Heritage Of C F Gauss, The
eBook - PDF

Mathematical Heritage Of C F Gauss, The

  1. 918 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Mathematical Heritage Of C F Gauss, The

About this book

This volume is a collection of original and expository papers in the fields of Mathematics in which Gauss had made many fundamental discoveries. The contributors are all outstanding in their fields and the volume will be of great interest to all research mathematicians, research workers in the history of science, and graduate students in Mathematics and Mathematical Physics.

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Yes, you can access Mathematical Heritage Of C F Gauss, The by George M Rassias in PDF and/or ePUB format, as well as other popular books in Biological Sciences & Science General. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Contents
  2. Preface
  3. A SUMMARY OF C. F. GAUSS'S LIFE AND MATHEMATICAL WORK
  4. ON GAUSS' DIFFERENTIAL EQUATION AND ITS TWENTY-FOUR KUMMER'S SOLUTIONS
  5. ON THE DIOPHANTINE EQUATION (X+ Y)A = ZB
  6. PARTITIONS AND THE GAUSSIAN SUM
  7. THE PERIODICITY OF AN ALGORITHM OVER THE COMPLEX NUMBER FIELD (ACF) AND THE SOLUTION OF THE HERMITE PROBLEM
  8. LORENTZIAN DISTANCE AND CURVATURE
  9. THE DECOMPOSITION THEORY AND ITS APPLICATIONS
  10. SPACES OF MORPHISMS BETWEEN ALGEBRAIC SCHEMES
  11. UNIQUENESS OF SOLUTIONS OF ELECTROMAGNETIC INTERACTION PROBLEMS ASSOCIATED WITH SCATTERING BY BIANISOTROPIC BODIES COVERED WITH IMPEDANCE SHEETS
  12. ON THE TOPOLOGICAL STRUCTURE OF CURVES
  13. GAUSS, BAYES, KALMAN: STATE-SPACE MODELS
  14. WAVES, QUANTA, E = mc2, AND PERIHELION SHIFTS: A NEW SCIENCE-HISTORICAL PERSPECTIVE AND MATHEMATICAL UNIFICATION
  15. UNIFORMLY CONTINUOUS MULTI-VALUED MAPPINGS
  16. COMPUTERS IN ALGEBRAIC TOPOLOGY
  17. FACTORIZATION IN QUATERNION ORDERS OVER NUMBER FIELDS
  18. THUE INEQUALITIES WITH A SMALL NUMBER OF SOLUTIONS
  19. A LOAD BALANCED ALGORITHM FOR THE CALCULATION OF THE POLYNOMIAL KNOT AND LINK INVARIANTS
  20. CONVEX POLYHEDRAL MODELS FOR THE FINITE THREE-DIMENSIONAL ISOMETRY GROUPS
  21. THE LORENTZIAN MODULAR GROUP AND NONLINEAR LATTICES
  22. INTEGRAL OPERATORS FOR HARMONIC FUNCTIONS
  23. QUADRATURE AND HARMONIC L1-APPROXIMATION
  24. THE THEOREMA EGREGIUM OF GAUSS FROM A VIEWPOINT OF PARTIAL DIFFERENTIAL EQUATIONS
  25. A NEW COSINE FUNCTIONAL EQUATION
  26. ON PARALINDELÖF AND METALINDELOF SPACES*
  27. THE MAXWELL CONDITION IN FRIEDMANN COSMOLOGY
  28. SPACE-TIME COMPACTIFICATION AND RIEMANNIAN SUBMERSIONS
  29. INDEPENDENCE AND SCRAMBLED SETS FOR CHAOTIC MAPPINGS
  30. A RECENT MODIFICATION OF ITERATIVE METHODS FOR SOLVING NONLINEAR PROBLEMS
  31. EXPANSIONS OF SPECIAL CASES OF GAUSS' HYPERGEOMETRIC FUNCTIONS USING GENERALIZED CALCULUS
  32. GAUGE-NATURAL OPERATORS TRANSFORMING CONNECTIONS TO THE TANGENT BUNDLE
  33. RETURNS UNDER BOUNDED NUMBER OF ITERATIONS
  34. ON A STRUCTURAL SCHEME OF PHYSICAL THEORIES PROPOSED BY E. TONTP
  35. ARCHIMEDES VERSUS GAUSS: THE CONSTRUCTION OF A REGULAR HEPTAGON
  36. SOME PROPERTIES OF COVARIANT OPERATORS IN GAUGE THEORIES
  37. A SIGNAL DISCRIMINATOR
  38. POWERS OF 2, CONTINUED FRACTIONS, AND THE CLASS NUMBER ONE PROBLEM FOR REAL QUADRATIC FIELDS Q(Vd), WITH d = 1 (mod 8)
  39. THE VALIDITY OF GAUSSIAN ELECTRODYNAMICS
  40. DIMENSIONS, FRACTALS, AND SPHERE PACKING
  41. SECOND COHOMOLOGY SPACES AND FLEXIBLELIE-ADMISSIBLE ALGEBRAS
  42. NEW FIBONACCI AND LUCAS IDENTITIES
  43. HYPER-KĀHLER METRICS AND MONOPOLES
  44. ON CERTAIN MATHEMATICAL PROBLEMS CONNECTED WITH THE USE OF THE COMPLEX VARIABLE BOUNDARY ELEMENT METHOD TO THE PROBLEMS OF PLANE HYDRODYNAMICS. GAUSS' VARIANT OF THE PROCEDURE
  45. A SURVEY ON THE POINCARE CONJECTURE OF THE TOPOLOGY OF 3-MANIFOLDS
  46. ADJOINT CONNECTIONS ON GROUP MANIFOLDS AND GAUGE TRANSFORMATIONS
  47. AN ABSTRACT FIXED-POINT THEOREM OF VANDERBAUWHEDE-VANGILS TYPE
  48. FORMULAS FOR HIGHER-ORDER FINITE EXPANSIONS OF COMPOSITE MAPS
  49. INFINITE ORDER DIFFERENTIAL OPERATORS IN GENERALIZED FOCK SPACES
  50. GAUSS AND THE ELECTRODYNAMIC FORCE
  51. SOME OPERATIONAL TECHNIQUES IN THE THEORY OF GENERALIZED GAUSSIAN AND CLAUSENIAN FUNCTIONS
  52. GAUSS' GAMMA MULTIPLICATION THEOREM: ANALOGUES AND EXTENSIONS
  53. SOME PROPERTIES OF HEREDITARILY LOCALLY CONNECTED CONTINUA RELATED TO THE HANN-MAZURKIEWICZ THEOREM
  54. CONVEX NONHOLONOMIC HYPERSURFACES
  55. THE MEASURE OF COVERING THE EUCLIDEAN SPACE BY GROUP-TRANSLATES OF A SET
  56. A NON-ARCHIMEDEAN NUMBER FIELD AND ITS APPLICATIONS IN MODERN PHYSICS
  57. THE DIFFERENTIAL GEOMETRY OF TWO TYPES OF ALMOST CONTACT METRIC SUBMERSIONS
  58. HYPERSURFACE WITH CONSTANT MEAN CURVATURE IN Hn+
  59. THE POINCARĖ DENSITY
  60. SOPHIE GERMAIN PRIMES
  61. ON SAMPLING THEOREMS AND THE GAUSS-JACOBI MECHANICAL QUADRATURE
  62. Author Index