Philip Franklin

Q: What Schools Are Affiliated With Philip Franklin

Philip Franklin is affiliated with the following schools: City College of New York, Princeton University, Massachusetts Institute of Technology, University of Chicago, University of Pennsylvania, Harvard University

Philip Franklin's AcademicInfluence.com Rankings

Philip Franklin

Mathematics

#2264

Historical Rank

Measure Theory

#1393

Historical Rank

mathematics Degrees

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Mathematics

Philip Franklin's Degrees

PhD Mathematics University of Chicago

Why Is Philip Franklin Influential?

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According to Wikipedia, Philip Franklin was an American mathematician and professor whose work was primarily focused in analysis. Dr. Franklin received a B.S. in 1918 from City College of New York . He received his M.A. in 1920 and Ph.D. in 1921 both from Princeton University. His dissertation, The Four Color Problem, was supervised by Oswald Veblen. After teaching for one year at Princeton and two years at Harvard University , Franklin joined the Massachusetts Institute of Technology Department of Mathematics, where he stayed until his 1964 retirement.

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Philip Franklin'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

A set of continuous orthogonal functions (1928) (104)
A Six Color Problem (1934) (78)
A Treatise On Advanced Calculus (1947) (66)
The Four Color Problem (1922) (62)
Methods of advanced calculus (1944) (56)
Functions of complex variables (1959) (28)
The Meaning of Rotation in the Special Theory of Relativity. (1922) (27)
On Matrices Whose Elements Are Integers (1921) (25)
A new class of transcendental numbers (1937) (22)
Analytic transformations of everywhere dense point sets (18)
A SIMPLE TECHNIQUE FOR INTRODUCING LIPIODOL INTO THE LUNGS (1931) (18)
Analytic approximations to topological transformations (1926) (13)
An introduction to Fourier methods and the Laplace transformation. (1949) (13)
The Electric Currents in a Network (11)
Review: E. W. Hobson, The Theory of Spherical and Ellipsoidal Harmonics (1932) (10)
Almost periodic recurrent motions (1929) (8)
Note on the Four Color Problem (1937) (8)
Approximation theorems for generalized almost periodic functions (1929) (7)
What Is Topology? (1935) (7)
Functions of a complex variable with assigned derivatives at an infinite number of points, and an analogue of Mittag-Leffler's theorem (1926) (6)
Congenital Stenosis of the Larynx. (6)
The Euclidean Algorithm (1956) (5)
Some Geometrical Relations of the Plane, Sphere, and Tetrahedron (1919) (4)
A theorem of Frobenius on quadratic forms (1927) (4)
A Step-Polygon of a Denumerable Infinity of Sides Which Bounds No Finite Area. (1933) (4)
Calculation of the Complex Zeros of the Function P(z) Complementary to the Incomplete Gamma Function (1919) (4)
Geodesics of Pfaffians (1931) (4)
Algebraic Matric Equations (1931) (4)
Differential and integral calculus (1954) (4)
Generalized Conjugate Matrices (1921) (3)
Back to Newton. (1936) (3)
Osculating curves and surfaces (1926) (3)
INTRANASAL TREATMENT BY IONIZATION IN HAY FEVER, VASOMOTOR RHINITIS, AND OZAENA (1932) (3)
The Elementary Theory of Almost Periodic Functions of Two Variables (3)
Derivatives of higher order as single limits (1935) (3)
Discussions: Relating to the Real Locus Defined by the Equation x y = y x (1917) (2)
Regions of Positive and Negative Curvature on Closed Surfaces (1934) (2)
Systems of Linear Partial Differential Equations (1930) (2)
A Geometric Characterization of Equipotential and Stream Lines (1927) (2)
Pfaffians in Parametric Form (1931) (1)
Multiple Integrals in n-Space (1923) (1)
THE DEAF-MUTE: A PLEA FOR EARLY TREATMENT (1935) (1)
The Classification of Quadrics in Euclidean N-Space by Means of Covariants (1927) (1)
The Weierstrass Approximation Theorem (1)
The Canonical Form of a One-Parameter Group (1)
The Simson Lines of a Triangle, the Three Cusped Hypocycloid and the Morley Triangles (1927) (1)
Classes of Functions, Orthogonal on an Infinite Interval, Having the Power of the Continuum (1929) (1)
Review: William Duncan MacMillan, Theoretical Mechanics (1931) (1)
Methods of Advanced Calculus 1ST Edition (1944) (1)
The Rotating Disc. (1925) (1)
The Geometry of Algebraic Pfaffians (1931) (1)
Ionization for Hay Fever (1937) (1)
The Fundamental Theorem of Almost Periodic Functions of Two Variables (1)
Case of Lateral Proboscis (1921) (1)
Sarcoma of Nasal Septum Treated by Radium (1925) (1)
Book Review: The Elementary Theory of Tensors (1931) (0)
Review: G. B. Karelitz, J. Ormondroyd, and J. M. Garrelts, Problems in Mechanics (1939) (0)
Functions with an essential singularity (1925) (0)
Case of Persistent Post-Auricular Pain (1927) (0)
A Clinical Aspect of Tonsils (1927) (0)
Bilateral Adductor Paralysis (1921) (0)
Review: Tracy Yerkes Thomas, The Elementary Theory of Tensors (1931) (0)
The Geometric Interpretation of Some Formulas of Analytic Geometry (1933) (0)
Case of Sarcoma of the Nasal Septum. 3 (1926) (0)
ZINC IONISATION FOR HAY-FEVER (1936) (0)
Discussions: On Curves Whose Evolutes are Similar Curves (1921) (0)
A treatise on advanced calculus : including those parts of the theory of functions of real and complex variables which form the logical basis of the infinitesimal analysis and its applications to geometry and physics (1940) (0)
Bilateral Paralysis of the Internal Tensors of the Larynx (1921) (0)
Case of Ulcer of Nasal Septum (1924) (0)
Hunter Tod's Disease of the Ear. Revised and largely rewritten by Cathcart Geroge C., M.A., M.D., Consulting Surgeon to the Throat Hospital, Golden Square, London. Second Edition. Himphrey Milford, Oxford Unversity Press. 1926. Price 10s. 6d. (1926) (0)
Further Report of Cases Previously Shown: Congenital Stenosis of the Larynx.1 (1926) (0)
Invariant sets of equations in Riemann space (1923) (0)
Hay-fever Ionization Clinic (1939) (0)
Review: Louis Brand, Vector and tensor analysis (1948) (0)
On Minkowski's Definition of Length and Area (1935) (0)
Case of Auditory Disharmony (1927) (0)
Review: W. D. MacMillan, Dynamics of Rigid Bodies (1937) (0)
A Simple Discussion of the Representation of Functions by Fourier Series (1924) (0)
Discussions: An Arithmetical Perpetual Calendar (1921) (0)
A qualitative definition of the potential functions (0)
The Operators of Quantum Mechanics (1929) (0)
December 4, 1925 - Further Report of Cases Previously Shown: Congenital Stenosis of the Larynx (0)
The Elementary Character of Certain Multiple Integrals Connected With Figures Bounded by Planes and Spheres (1926) (0)
Two theorems on multiple integrals (1922) (0)
A qualitative definition of the trigonometric and hyperbolic functions (1923) (0)
Differential Equations for Electrical Engineers. (1934) (0)
Two Cases of Pulmonary Tuberculosis with Laryngeal Symptoms. (1923) (0)
Differential equations for engineers (1960) (0)
December 4, 1925 - Further Report of Cases Previously Shown: Case of Sarcoma of the Nasal Septum (0)
CI. Tensors of given types in Riemann space (1923) (0)
Problems for Solution: [2920-2927] (1921) (0)
Problems for Solution: E327-E332 (1938) (0)
Two Functional Equations with Integral Arguments (1931) (0)
A Qualitative Definition of the Sub- and Super-Harmonic Functions (1928) (0)
Dynamical Systems with Integrals Quadratic in the Velocities (1930) (0)
Problems for Solution: 2890-2895 (1921) (0)
Book Review: Dynamics of Rigid Bodies (1937) (0)
Problems for Solution: [2986-2991] (1922) (0)
Analytic functions with assigned values (0)
Book Review: The Theory of Spherical and Ellipsoidal Harmonics (1932) (0)
Book Review: Problems in Mechanics (1939) (0)
Zinc Ionization for Hay Fever (1936) (0)
Geodesics on Polyhedral Surfaces (1935) (0)

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Other Resources About Philip Franklin

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What Schools Are Affiliated With Philip Franklin?

Philip Franklin is affiliated with the following schools:

Philip Franklin's Academic­Influence.com Rankings