Index for Mathematical Problems Lecture delivered before

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• The Project Gutenberg eBook ofMathematical Problems
• Chapter 2
• CONTENTS
• Chapter 4
• 1. CANTOR'S PROBLEM OF THE CARDINAL NUMBER OF THE CONTINUUM.
• 2. THE COMPATIBILITY OF THE ARITHMETICAL AXIOMS.
• 3. THE EQUALITY OF THE VOLUMES OF TWO TETRAHEDRA OF EQUAL BASES AND EQUAL ALTITUDES.
• 4. PROBLEM OF THE STRAIGHT LINE AS THE SHORTEST DISTANCE BETWEEN TWO POINTS.
• 5. LIE'S CONCEPT OF A CONTINUOUS GROUP OF TRANSFORMATIONS WITHOUT THE ASSUMPTION OF THE DIFFERENTIABILITY OF THE FUNCTIONS DEFINING THE GROUP.
• 6. MATHEMATICAL TREATMENT OF THE AXIOMS OF PHYSICS.
• 7. IRRATIONALITY AND TRANSCENDENCE OF CERTAIN NUMBERS.
• 8. PROBLEMS OF PRIME NUMBERS.
• 9. PROOF OF THE MOST GENERAL LAW OF RECIPROCITY IN ANY NUMBER FIELD.
• 10. DETERMINATION OF THE SOLVABILITY OF A DIOPHANTINE EQUATION.
• 11. QUADRATIC FORMS WITH ANY ALGEBRAIC NUMERICAL COEFFICIENTS.
• 12. EXTENSION OF KRONECKER'S THEOREM ON ABELIAN FIELDS TO ANY ALGEBRAIC REALM OF RATIONALITY.
• 13. IMPOSSIBILITY OF THE SOLUTION OF THE GENERAL EQUATION OF THE 7TH DEGREE BY MEANS OF FUNCTIONS OF ONLY TWO ARGUMENTS.
• 14. PROOF OF THE FINITENESS OF CERTAIN COMPLETE SYSTEMS OF FUNCTIONS.
• 15. RIGOROUS FOUNDATION OF SCHUBERT'S ENUMERATIVE CALCULUS.
• 16. PROBLEM OF THE TOPOLOGY OF ALGEBRAIC CURVES AND SURFACES.
• 17. EXPRESSION OF DEFINITE FORMS BY SQUARES.
• 18. BUILDING UP OF SPACE FROM CONGRUENT POLYHEDRA.
• 19. ARE THE SOLUTIONS OF REGULAR PROBLEMS IN THE CALCULUS OF VARIATIONS ALWAYS NECESSARILY ANALYTIC?
• 20. THE GENERAL PROBLEM OF BOUNDARY VALVES.
• 21. PROOF OF THE EXISTENCE OF LINEAR DIFFERENTIAL EQUATIONS HAVING A PRESCRIBED MONODROMIC GROUP.
• 22. UNIFORMIZATIOM OF ANALYTIC RELATION'S BY MEANS OF AUTOMORPHIC FUNCTIONS.
• 23. FURTHER DEVELOPMENT OF THE METHODS OF THE CALCULUS OF VARIATIONS.
• THE FULL PROJECT GUTENBERG LICENSE
• Chapter 29

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