SU\G(𝔸)/K·U

Author Description

Tom M. Apostol (1923–2016) was an American mathematician and professor at the California Institute of Technology known for his contributions to analytic number theory and for authoring influential mathematics textbooks. His two-volume “Calculus” and his text “Mathematical Analysis” are widely used in undergraduate and graduate courses around the world. Apostol was also involved in mathematics education outreach, directing the video project “Project MATHEMATICS!” to help students learn and appreciate mathematical concepts.

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All published works (138)

Action Title Date Authors
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A New Look at Surfaces of Constant Curvature 2016-01-01 Tom M. Apostol Mamikon A. Mnatsakanian
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Volume/Surface Area Ratios for Globes, with Applications 2015-12-01 Tom M. Apostol Mamikon A. Mnatsakanian
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Cycloids and Trochoids 2013-12-31 Tom M. Apostol Mamikon A. Mnatsakanian
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Sums of Squares 2013-12-31 Tom M. Apostol Mamikon A. Mnatsakanian
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Ellipse to Hyperbola: “With This String I Thee Wed” 2013-12-31 Tom M. Apostol Mamikon A. Mnatsakanian
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New Descriptions of Conics via Twisted Cylinders, Focal Disks, and Directors 2013-12-31 Tom M. Apostol Mamikon A. Mnatsakanian
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Isoperimetric and Isoparametric Problems 2013-12-31 Tom M. Apostol Mamikon A. Mnatsakanian
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New Balancing Principles Applied to Circumsolids of Revolution, and to <em>n</em>-Dimensional Spheres, Cylindroids, and Cylindrical Wedges 2013-01-01 Tom M. Apostol Mamikon A. Mnatsakanian
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Sums of squares of integers in arithmetic progression 2011-07-01 Tom M. Apostol Mamikon A. Mnatsakanian
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Ellipse to Hyperbola: “With This String I Thee Wed” 2011-04-01 Tom M. Apostol Mamikon A. Mnatsakanian
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Tanvolutes: Generalized Involutes 2010-01-01 Tom M. Apostol Mamikon A. Mnatsakanian
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New Horizons in Geometry 2010-01-01 Tom M. Apostol Mamikon A. Mnatsakanian
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New Insight into Cycloidal Areas 2009-08-01 Tom M. Apostol Mamikon A. Mnatsakanian
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New Descriptions of Conics via Twisted Cylinders, Focal Disks, and Directors 2008-11-01 Tom M. Apostol Mamikon A. Mnatsakanian
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A Primer on Bernoulli Numbers and Polynomials 2008-06-01 Tom M. Apostol
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Unwrapping Curves from Cylinders and Cones 2007-05-01 Tom M. Apostol Mamikon A. Mnatsakanian
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Proof Without Words: Surprising Property of Hyperbolas 2006-12-01 Tom M. Apostol Mamikon A. Mnatsakanian
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Proof without Words: Surprising Property of Hyperbolas 2006-12-01 Tom M. Apostol Mamikon A. Mnatsakanian
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90.36 Bernoulli’s power-sum formulas revisited 2006-07-01 Tom M. Apostol
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Solids Circumscribing Spheres 2006-06-01 Tom M. Apostol Mamikon A. Mnatsakanian
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Cycloidal Areas without Calculus 2006-01-01 Tom M. Apostol Mamikon A. Mnatsakanian
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Figures Circumscribing Circles 2004-12-01 Tom M. Apostol Mamikon A. Mnatsakanian
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Figures Circumscribing Circles 2004-12-01 Tom M. Apostol Mamikon A. Mnatsakanian
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A Fresh Look at the Method of Archimedes 2004-06-01 Tom M. Apostol Mamikon A. Mnatsakanian
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Centroids Constructed Graphically 2004-06-01 Tom M. Apostol Mamikon A. Mnatsakanian
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A Fresh Look at the Method of Archimedes 2004-06-01 Tom M. Apostol Mamikon A. Mnatsakanian
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Isoperimetric and Isoparametric Problems 2004-02-01 Tom M. Apostol Mamikon A. Mnatsakanian
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Isoperimetric and Isoparametric Problems 2004-02-01 Tom M. Apostol Mamikon A. Mnatsakanian
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A Proof that Euler Missed: Evaluating ζ(2) the Easy Way 2004-01-01 Tom M. Apostol
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Sums of Squares of Distances in <i>m</i>-Space 2003-06-01 Tom M. Apostol Mamikon A. Mnatsakanian
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Sums of Squares of Distances in m-Space 2003-06-01 Tom M. Apostol Mamikon A. Mnatsakanian
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87.02 Sums of consecutive positive integers 2003-03-01 Tom M. Apostol
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Euler Sums Revisited 2003-01-01 Tom M. Apostol
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Tangents and Subtangents Used to Calculate Areas 2002-12-01 Tom M. Apostol Mamikon A. Mnatsakanian
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Surprisingly Accurate Rational Approximations 2002-10-01 Tom M. Apostol Mamikon A. Mnatsakanian
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Surprisingly Accurate Rational Approximations 2002-10-01 Tom M. Apostol Mamikon A. Mnatsakanian
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Sums of Squares of Distances 2001-11-01 Tom M. Apostol Mamikon A. Mnatsakanian
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Good Rational Approximations to Logarithms 2001-05-01 Tom M. Apostol Mamikon A. Mnatsakanian
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Irrationality of The Square Root of Two—A Geometric Proof 2000-11-01 Tom M. Apostol
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Irrationality of The Square Root of Two -- A Geometric Proof 2000-11-01 Tom M. Apostol
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Calculating Higher Derivatives of Inverses 2000-10-01 Tom M. Apostol
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A Centennial History of the Prime Number Theorem 2000-01-01 Tom M. Apostol
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A Proof that Euler Missed: Evaluating ξ(2) the Easy Way 2000-01-01 Tom M. Apostol
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A Centennial History of the Prime Number Theorem 2000-01-01 Tom M. Apostol
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Cycloidal Areas without Calculus 1999-09-01 Tom M. Apostol Mamikon A. Mnatsakanian
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An Elementary View of Euler's Summation Formula 1999-05-01 Tom M. Apostol
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An Elementary View of Euler's Summation Formula 1999-05-01 Tom M. Apostol
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Surprising Geometric Properties of Exponential Functions 1998-09-01 Tom M. Apostol Mamikon A. Mnatsakanian
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A Proof that Euler Missed: Evaluating ζ(2) the Easy Way 1997-01-01 Tom M. Apostol
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An Extension of the Lehmers' Picturesque Exponential Sums 1993-07-01 Tom M. Apostol

Common Coauthors

Coauthor Papers Together
Mamikon A. Mnatsakanian 35
Thiennu H. Vu 3
Douglas R. Anderson 1
Charles H. Holbrow 1
A. Sklar 1
Herbert Zuckerman 1

Commonly Cited References

Action Title Date Authors # of times referenced
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Introduction to Analytic Number Theory 1976-01-01 Tom M. Apostol 6
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Introduction to Analytic Number Theory 1976-01-01 Tom M. Apostol 4
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A Fresh Look at the Method of Archimedes 2004-06-01 Tom M. Apostol Mamikon A. Mnatsakanian 4
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Euler’s 𝜙-function and separable Gauss sums 1970-03-01 Tom M. Apostol 3
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Tangents and Subtangents Used to Calculate Areas 2002-12-01 Tom M. Apostol Mamikon A. Mnatsakanian 3
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Über die Ausreduktion ganzzahliger Gruppendarstellungen bei arithmetischer Äquivalenz 1939-12-01 Fritz-Erdmann Diederichsen 3
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A Note on the Irrationality of ζ(2) and ζ(3) 1979-10-01 Frits Beukers 2
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An Introduction to the Theory of Numbers. By G. H. Hardy and E. M. Wright. 2nd edition. Pp. xvi, 407 25s. 1945. (Oxford) 1946-02-01 T. A. A. B. 2
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Chapter 8 of Ramanujan's second notebook. 1983-01-01 Bruce C. Berndt 2
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Some theorems on generalized Dedekind sums 1953-09-01 L. Carlitz 2
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Maxima and Minima without Calculus 1983-11-01 Lester H. Lange Ivan Niven 2
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Modular Functions and Dirichlet Series in Number Theory 1990-01-01 Tom M. Apostol 2
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Resultants of Cyclotomic Polynomials 1970-03-01 Tom M. Apostol 2
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The evaluation of Ramanujan’s sum and generalizations 1953-06-01 Douglas R. Anderson Tom M. Apostol 2
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Resultants of cyclotomic polynomials 1970-03-01 Tom M. Apostol 2
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Figures Circumscribing Circles 2004-12-01 Tom M. Apostol Mamikon A. Mnatsakanian 2
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An arithmetical theory of the Bernoulli numbers 1942-01-01 H. S. Vandiver 2
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Euler's φ-Function and Separable Gauss Sums 1970-03-01 Tom M. Apostol 2
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Dirichlet L-functions and character power sums 1970-05-01 Tom M. Apostol 2
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On the multiplication of Dirichlet series 1962-12-01 S. Minakshisundaram 2
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Sur la distribution des zéros de la fonction $\zeta(s)$ et ses conséquences arithmétiques 1896-01-01 Jacques Hadamard 2
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FUNCTIONAL EQUATIONS AND SELF-RECIPROCAL FUNCTIONS CONNECTED WITH LAMBERT SERIES 1944-01-01 A. P. Guinand 1
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Analytic Eisenstein series, theta-functions, and series relations in the spirit of Ramanujan. 1978-11-01 Bruce C. Berndt 1
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Elliptic Functions according to Eisenstein and Kronecker 1976-01-01 André Weil 1
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A note on the cyclotomic polynomial 1964-12-01 I. J. Schoenberg 1
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Another zero-free region for 𝜁^{(𝑘)}(𝑠) 1970-10-01 Robert Spira 1
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On a representation of a strongly harmonic ring by sheaves 1972-05-01 Kwangil Koh 1
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Hecke operators and an identity for the dedekind sums 1980-02-01 Marvin I. Knopp 1
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An Approximate Functional Equation for the Product of Two ζ-Functions 1930-01-01 J. R. Wilton 1
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Characterizations of convolution semigroups of measures 1964-06-01 H. S. Collins 1
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Transformations of domains in the plane and applications in the theory of functions 1964-06-01 Moshe Marcus 1
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On the elementary renewal theorem for non-identically distributed variables 1964-06-01 Walter L. Smith 1
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On left QF− 3 rings 1970-01-01 Hiroyuki Tachikawa 1
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Tables of Integral Transforms 2005-01-01 Bateman Manuscript H. Bateman Arthur Erdélyi 1
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Arithmetical properties of generalized Ramanujan sums 1972-05-01 Tom M. Apostol 1
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The Approximate Functional Equation for Dirichlet's L-series 1952-01-01 Tikao Tatuzawa 1
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The transformation formula for the Dedekind modular function and related functional equations 1957-12-01 Shô Iseki 1
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A theorem on rings of operators 1951-06-01 Irving Kaplansky 1
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Studien über die Bernoullischen und Eulerschen Zahlen 1883-12-31 J. Worpitzky 1
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Nilpotency and spectral operators 1964-06-01 James Simpson 1
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Weakly compact operators on operator algebras 1964-06-01 Shôichirô Sakai 1
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Fields defined by polynomials 1964-06-01 Lowell A. Hinrichs Ivan Niven Charles Vanden Eynden 1
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On<i>p</i>-thetic groups 1972-05-01 D. L. Armacost William Armacost 1
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On an initial value problem in the theory of two-dimensional transonic flow patterns 1970-01-01 Stefan Bergman 1
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Vorlesungen über Differenzenrechnung 1924-01-01 Niels Erik Nörlund 1
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Handbuch der Lehre von der Verteilung der Primzahlen 1911-12-01 Edmund Landau 1
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Rings of functions with certain Lipschitz properties 1970-01-01 Charles H. Scanlon 1
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An approach to singular homology theory 1951-06-01 Tibor Radó 1
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The embedding of homeomorphisms of the plane in continuous flows 1972-05-01 Gary Jones 1
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Least squares and interpolation in roots of unity 1964-06-01 J. L. Walsh Ambikeshwar Sharma 1