Maxime Bôcher
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Most Influential Person Across History
American mathematician
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Mathematics
Maxime Bôcher's Degrees
- PhD Mathematics University of Chicago
Why Is Maxime Bôcher Influential?
(Suggest an Edit or Addition)According to Wikipedia, Maxime Bôcher was an American mathematician who published about 100 papers on differential equations, series, and algebra. He also wrote elementary texts such as Trigonometry and Analytic Geometry. Bôcher's theorem, Bôcher's equation, and the Bôcher Memorial Prize are named after him.
Maxime Bôcher's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Introduction to the Theory of Fourier's Series (1906) (74)
- An Introduction to the Study of Integral Equations (71)
- The smallest characteristic numbers in a certain exceptional case (1914) (39)
- The Theory of Linear Dependence (36)
- Singular points of functions which satisfy partial differential equations of the elliptic type (1903) (30)
- On regular singular points of linear differential equations of the second order whose coefficients are not necessarily analytic (30)
- Non-oscillatory linear differential equations of the second order (1901) (25)
- Certain cases in which the vanishing of the Wronskian is a sufficient condition for linear dependence (1901) (21)
- The theorems of oscillation of Sturm and Klein ( Second Paper ) (1898) (18)
- Some Propositions Concerning the Geometric Representation of Imaginaries (16)
- On Harmonic Functions in Two Dimensions (15)
- On certain methods of Sturm and their application to the roots of Bessel’s functions (1897) (14)
- The fundamental conceptions and methods of mathematics (1904) (13)
- The roots of polynomials which satisfy certain linear differential equations of the second order (1898) (11)
- Boundary Problems and Green's Functions for Linear Differential and Difference Equations (11)
- Leçons sur les méthodes de Sturm dans la théorie des équations différentielles linéaires et leurs développements modernes (10)
- Review: T. J. I' A. Bromwich, Quadratic Forms and their Classification by Means of Invariant Factors (10)
- A Problem in Statics and Its Relation to Certain Algebraic Invariants (10)
- The infinite regions of various geometries (10)
- The published and unpublished work of Charles Sturm on algebraic and differential equations (1911) (9)
- On Bessel's Functions of the Second Kind (8)
- On Some Applications of Bessel's Functions with Pure Imaginary Index (1892) (6)
- On linear dependence of functions of one variable (1900) (6)
- Plane analytic geometry, with introductory chapters on the differential calculus, by Maxime Bôcher ... (1917) (5)
- Applications and generalizations of the conception of adjoint systems (1913) (5)
- Green's functions in space of one dimension (1901) (5)
- On Wronskians of functions of a real variable (1901) (4)
- Book Review: A Treatise on Bessel Functions and their Applications to Physics (1896) (4)
- On the real solutions of systems of two homogeneous linear differential equations of the first order (1902) (4)
- Whittaker's Modern Analysis (1904) (3)
- On certain pairs of transcendental functions whose roots separate each other (1901) (3)
- Kowalewski's Determinants (1910) (3)
- On a small variation which renders a linear differential system incompatible (1914) (3)
- Note on the Nine-Point Conic (1892) (3)
- Application of a method of d’Alembert to the proof of Sturm’s theorems of comparison (1900) (3)
- On the regions of convergence of power-series which represent two-dimensional harmonic functions (1909) (3)
- Note on Poisson’s integral (1898) (3)
- Examples in the Theory of Functions (3)
- On Cauchy's theorem concerning complex integrals (1896) (2)
- On Linear Equations with an Infinite Number of Variables (2)
- On the Wronskian Test for Linear Dependence (1916) (2)
- Sur le development de l'nalyse et ses rapports avec diverses sciences. (1906) (2)
- An elementary proof of a theorem of Sturm (1901) (2)
- Some theorems concerning linear differential equations of the second order (1900) (2)
- Linear Differential Equations with Discontinuous's Coefficients (1905) (2)
- DOCTORATES CONFERRED BY AMERICAN UNIVERSITIES. (1913) (2)
- On a Nine-Point Conic (1892) (1)
- On Semi-Analytic Functions of Two Variables (1910) (1)
- On the Differential Equation Δu + k 2 u = 0 (1)
- Note supplementary to the paper “On certain pairs of transcendental functions whose roots separate each other” (1917) (1)
- Review: David Gibb, A Course in Interpolation and Numerical Integration for the Mathematical Laboratory, and G. A. Carse and G. Shearer, A Course in Fourier's Analysis and Periodogram Analysis for the Mathematical Laboratory (1916) (1)
- Errata: “On regular singular points of linear differential equations of the second order whose coefficients are not necessarily analytic” [Trans. Amer. Math. Soc. 1 (1900), no. 1, 40–52; 1500523] (1900) (1)
- Collineation as a mode of motion (1892) (1)
- Book Review: Quadratic Forms and their Classification by Means of Invariant Factors (1)
- Gauss’s third proof of the fundamental theorem of algebra (1895) (1)
- Simplification of Gauss's Third Proof that Every Algebraic Equation has a Root (1895) (0)
- DOCTORATES CONFERRED BY AMERICAN UNIVERSITIES. (0)
- Examples of the Construction of Riemann's Surfaces for the Inverse of Rational Functions, by the Method of Conformal Representation (0)
- Some Applications of the Method of Abridged Notation (0)
- Book Review: A Course in Fourier's Analysis and Periodogram Analysis for the Mathematical Laboratory (1916) (0)
- Book Review: Cours de Gomtrie analytique (0)
- An elementary proof that Bessel’s functions of the zeroth order have an infinite number of real roots (1899) (0)
- Linear Differential Equations (0)
- Sur le développment de l'analyse et ses rapports avec diverses sciences . By Emile Picard. Paris, Gauthier-Villars. 1905. (1906) (0)
- Discussions: Concerning Direction Cosines and Hesse's Normal Form (1918) (0)
- Pockels on the Differential Equation Δu + k 2 u = 0 (0)
- Picard's Traité D'analyse (1901) (0)
- Roots of polynomials that satisfy diff. equations of second order (0)
- A bit of mathematical history (1893) (0)
- On the Uniformity of the Convergence of Certain Absolutely Convergent Series (1903) (0)
- On singular points of linear differential equations with real coefficients (1899) (0)
- DOCTORATES CONFERRED BY AMERICAN UNIVERSITIES. (0)
- On The Small Forced Vibrations of Systems with One Degree of Freedom (1908) (0)
- Review: R. d'Adhmar, Exercices et Leons d'Analyse (1909) (0)
- Hayward's Vector Algebra (1895) (0)
- Review: Frederick H. Bailey and Frederick S. Woods, Plane and Solid Analytic Geometry (1897) (0)
- A Problem in Analytic Geometry with a Moral (1905) (0)
- A Simple Proof of a Fundamental Theorem in the Theory of Integral Equations (0)
- Niewenglowski's Geometry (1898) (0)
- Another Proof of the Theorem Concerning Artificial Singularities (1906) (0)
- On Systems of Linear Differential Equations of the First Order (1902) (0)
- Regular points of linear differential equations of the second order, by Maxime Bôcher (0)
- Burkhardt's Theory of Functions (0)
- Notes on Some Points in the Theory of Linear Differential Equations (0)
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