Joseph Ritt
American mathematician
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Mathematics
Joseph Ritt's Degrees
- PhD Mathematics University of Chicago
Why Is Joseph Ritt Influential?
(Suggest an Edit or Addition)According to Wikipedia, Joseph Fels Ritt was an American mathematician at Columbia University in the early 20th century. He was born and died in New York. After beginning his undergraduate studies at City College of New York, Ritt received his B.A. from George Washington University in 1913. He then earned a doctorate in mathematics from Columbia University in 1917 under the supervision of Edward Kasner. After doing calculations for the war effort in World War I, he joined the Columbia faculty in 1921. He served as department chair from 1942 to 1945, and in 1945 became the Davies Professor of Mathematics. In 1932, George Washington University honored him with a Doctorate in Science, and in 1933 he was elected to join the United States National Academy of Sciences. He has 463 academic descendants listed in the Mathematics Genealogy Project, mostly through his student Ellis Kolchin. Ritt was an Invited Speaker with talk Elementary functions and their inverses at the ICM in 1924 in Toronto and a Plenary Speaker at the ICM in 1950 in Cambridge, Massachusetts.
Joseph Ritt's Published Works
Published Works
- Prime and composite polynomials (314)
- Differential Equations from the Algebraic Standpoint (1933) (224)
- Permutable rational functions (1923) (198)
- Integration in finite terms : Liouville's theory of elementary methods (1948) (105)
- Partial differential algebra (1950) (93)
- On Certain Points in the Theory of Dirichlet Series (73)
- Integration in finite terms (1948) (38)
- On a general class of linear homogeneous differential equations of infinite order with constant coefficients (35)
- On the zeros of exponential polynomials (1929) (34)
- On algebraic functions which can be expressed in terms of radicals (33)
- On the iteration of rational functions (1920) (33)
- Ideal theory and algebraic difference equations (1934) (30)
- Jacobi's Problem on the Order of a System of Differential Equations (1935) (29)
- On the Derivatives of a Function at a Point (1916) (29)
- A factorization theory for functions ∑ᵢ₌₁ⁿᵢ^{ᵢ} (1927) (26)
- Algebraic difference equations (1934) (23)
- Periodic functions with a multiplication theorem (23)
- Systems of Algebraic Difference Equations (1933) (23)
- Equivalent rational substitutions (1924) (22)
- Transcendental transcendency of certain functions of Poincaré (1926) (22)
- Associative Differential Operations (1950) (21)
- Differential Groups and Formal Lie Theory for An Infinite Number of Parameters (1950) (20)
- A Factorization Theory for Functions ∑ i = 1 n a i e α i x (1927) (20)
- Algebraic combinations of exponentials (1929) (19)
- On the integration in finite terms of linear differential equations of the second order (18)
- On the Singular Solutions of Algebraic Differential Equations (1936) (16)
- Representation of analytic functions as infinite products (1930) (14)
- An assemblage-theoretic proof of the existence of transcendentally transcendental functions (1927) (14)
- On Certain Real Solutions of Babbage's Functional Equation (1916) (13)
- Differential Groups of Order Two (1951) (10)
- On the integrals of elementary functions (1923) (10)
- Complete Difference Ideals (1941) (8)
- On a type of algebraic differential manifold (1940) (7)
- On the differentiability of asymptotic series (1918) (7)
- Bézout’s theorem and algebraic differential equations (1943) (7)
- Real functions with algebraic addition theorems (1927) (7)
- Meromorphic functions with addition or multiplication theorems (1927) (7)
- Subgroups of Differential Groups (1951) (6)
- Analytical Theory of Singular Solutions of Partial Differential Equations of the First Order (1945) (6)
- On the Conformal Mapping of a Region Into a Part of Itself (1921) (6)
- Elementary functions and their inverses (6)
- On Certain Points in the Theory of Algebraic Differential Equations (1938) (6)
- Note on Dirichlet Series with Complex Exponents (1924) (5)
- Manifolds of functions defined by systems of algebraic differential equations (1930) (4)
- Errata: “Prime and composite polynomials” [Trans. Amer. Math. Soc. 23 (1922), no. 1, 51–66; 1501189] (1922) (4)
- Systems of Differential Equations. I. Theory of Ideal (1938) (4)
- On certain ideals of differential polynomials (1939) (3)
- On the Differentiability of the Solution of a Differential Equation with Respect to a Parameter (1919) (3)
- Systems of Algebraic Differential Equations. (1931) (3)
- The resolution into partial fractions of the reciprocal of an entire function of genus zero (2)
- New Proofs of Two Well Known Theorems on Quadratic Forms (1925) (2)
- On a certain ring of functions of two variables (1930) (2)
- Indeterminate expressions involving a function and its derivatives (1936) (2)
- On the Manifolds of Partial Differential Polynomials (1945) (2)
- On the Singular Solutions of Certain Differential Equations of the Second Order. (1946) (2)
- Errata: “Permutable rational functions” [Trans. Amer. Math. Soc. 25 (1923), no. 3, 399–448; 1501252] (1924) (1)
- Riquier’s existence theorem for orthonomic systems (1932) (1)
- A family of functions and its theory of contact (1943) (1)
- Abel’s theorem and a generalization of one-parameter groups (1949) (1)
- Erratum: “A factorization theory for functions ∑ⁿᵢ₌₁ᵢ^{ᵢ}” [Trans.\ Amer.\ Math.\ Soc. 29 (1927), no. 3, 584–596; 1501406] (1932) (1)
- Integral functions obtained by compounding polynomials (1933) (1)
- On Ideals of Differential Polynomials. (1939) (1)
- A control for least-square solutions (1913) (1)
- On the Intersections of Algebraic Differential Manifolds. (1939) (1)
- On the Intersections of Irreducible Components in the Manifold of a Differential Polynomial. (1940) (1)
- Structure of differential polynomials (1950) (1)
- Systems of algebraic partial differential equations (1932) (0)
- XX. The Cauchy Integral Theorem for Triangles (1947) (0)
- XXX. On the Zeros of Analytic Functions (1947) (0)
- First applications of the general theory (1932) (0)
- XXVIII. Taylor's Expansion (1947) (0)
- Differential polynomials and their ideals (1950) (0)
- Note on equal continuity (1921) (0)
- Intersections of algebraic differential manifolds (1950) (0)
- Review: Pierre Fatou, Fonctions Automorphes (0)
- XV. Continuous Curves (1947) (0)
- Algebraic differential manifolds (1950) (0)
- Thomas H. Gronwall (1932) (0)
- Analogue of the Hilbert–Netto theorem. Theoretical decomposition process (1932) (0)
- Review: Gilbert Ames Bliss, Algebraic Functions (1935) (0)
- XXV. The Cauchy Integral Formula and the Derivatives of an Analytic Function (1947) (0)
- XI. Complex and Hypercomplex Numbers (1947) (0)
- Systems of algebraic equations (1932) (0)
- Constitution of an irreducible manifold (1932) (0)
- II. Theory of Limits (1947) (0)
- Book Review: Algebraic Functions (0)
- Erratum: ‘‘A factorization theory for functions $\sum\sp n\sb {i=1}a\sb ie\sp {\alpha\sb ix}$” [Trans.\ Amer.\ Math.\ Soc. {\bf 29} (1927), no. 3, 584–596; 1501406] (1932) (0)
- Book Review: History and Synopsis of the Theory of Summable Infinite Processes (0)
- Errata: “Algebraic combinations of exponentials” [Trans.\ Amer.\ Math.\ Soc. 31 (1929), no. 4, 654–679; 1501505] (1930) (0)
- Julia on Essential Singularities (1925) (0)
- Review: P. Dienes, The Taylor Series. An Introduction to the Theory of Functions of a Complex Variable (1932) (0)
- Review: Lester R. Ford, Automorphic Functions (0)
- XVI. Rectifiable Curves (1947) (0)
- Analogue for form quotients of Lüroth’s theorem (1932) (0)
- XXXVIII. Infinite Products (1947) (0)
- XXII. The Cauchy Integral Theorem for a Rectifiable Curve (1947) (0)
- Decomposition of a system of ordinary algebraic differential equations into irreducible systems (1932) (0)
- Analytic functions and periodicity (1924) (0)
- X. Functions of Two Variables (1947) (0)
- Errata: “On algebraic functions which can be expressed in terms of radicals” [Trans. Amer. Math. Soc. 24 (1922), no. 1, 21–30; 1501211] (1922) (0)
- XXXII. Singularities of Analytic Functions (1947) (0)
- IX. Infinite Series of Functions (1947) (0)
- Review: L. L. Smail, History and Synopsis of the Theory of Summable Infinite Processes (1928) (0)
- General solutions and resolvents (1932) (0)
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