According to Wikipedia, Tom Mike Apostol was an American analytic number theorist and professor at the California Institute of Technology, best known as the author of widely used mathematical textbooks.Life and career Apostol was born in Helper, Utah. His parents, Emmanouil Apostolopoulos and Efrosini Papathanasopoulos, were Greek immigrants. Apostolopoulos's name was shortened to Mike Apostol when he obtained his United States citizenship, and Tom Apostol inherited this Americanized surname.

- Introduction to analytic number theory
- Mathematical Analysis
- Modular Functions and Dirichlet Series in Number Theory
- On the Lerch zeta function.
- One-variable calculus, with an introduction to linear algebra
- Generalized Dedekind sums and transformation formulae of certain Lambert series
- Mathematical analysis : a modern approach to advanced calculus / Tom M. Apostol
- An Elementary View of Euler's Summation Formula
- Multi-variable calculus and linear algebra, with applications to differential equations and probability
- Another elementary proof of Euler''s formula for (2 ) n z
- Arithmetical properties of generalized Ramanujan sums
- Resultants of cyclotomic polynomials
- Book Reviews: Mathematical Analysis. A Modern Approach to Advanced Calculus
- Dirichlet series related to the Riemann zeta function
- A proof that euler missed: evaluating ζ(2) the easy way
- Theorems on generalized Dedekind sums
- Formulas for higher derivatives of the Riemann zeta function
- Calculus, Volume 1
- The evaluation of Ramanujan’s sum and generalizations
- Irrationality of The Square Root of Two—A Geometric Proof
- Zeta and related functions
- Calculus, Volume II.
- A Primer on Bernoulli Numbers and Polynomials
- Explicit Formulas for Solutions of the Second-Order Matrix Differential Equation Y″ = ay
- Dirichlet L-functions and character power sums
- Some Explicit Formulas for the Exponential Matrix etA
- Calculus, Volume 1: One-Variable Calculus with an Introduction to Linear Algebra
- Identities for sums of Dedekind type
- A New Method for Investigating Euler Sums
- Sums of Squares of Distances in m-Space
- Beyond the Mechanical Universe: From Electricity to Modern Physics
- Elementary proofs of Berndt’s reciprocity laws
- Some series involving the Riemann zeta function
- Unwrapping Curves from Cylinders and Cones
- The resultant of the cyclotomic polynomials _{}() and _{}()
- The Tunnel of Samos
- Some Properties of Completely Multiplicative Arithmetical Functions
- New Horizons in Geometry
- The Mechanical Universe: Introduction to Mechanics and Heat and Beyond the Mechanical Universe: From Electricity to Modern Physics and The Mechanical Universe: Mechanics and Heat (Advanced Edition)
- Calculus vol. 1 : one-variable calculus with an introduction to linear algebra / Tom M. Apostol
- A Fresh Look at the Method of Archimedes
- Calculus, volume II : multi - variable and linear algebra, with application to differential equations and probability / Tom M. Apostol
- Calculating Higher Derivatives of Inverses
- Ptolemy's Inequality and the Chordal Metric
- Solids Circumscribing Spheres
- The approximate functional equation of Hecke’s Dirichlet series
- Möbius functions of order k
- Addendum to ‘On the Lerch zeta function’
- A Course in Mathematical Analysis, Vol. II.
- A Visual Approach to Calculus Problems
- Subtangents—An Aid to Visual Calculus
- Euler’s -function and separable Gauss sums
- A New Look at the So-Called Trammel of Archimedes
- Elementary proof of the transformation formula for Lambert series involving generalized Dedekind sums
- Linear Algebra: A First Course with Applications to Differential Equations
- Tangents and Subtangents Used to Calculate Areas
- Calculus of several variables with applications to probability and vector analysis
- Figures Circumscribing Circles
- The method of sweeping tangents
- Identities involving the coefficients of certain Dirichlet series
- Finding Centroids the Easy Way
- The Story of PI
- Dirichlet $L$-functions and primitive characters
- Remark on the Hurwitz zeta function
- On the functional equation $F(mn)F((m,\,n))=F(m)F(n)f((m,\,n))$.
- Tanvolutes: Generalized Involutes
- Selected papers on calculus
- An extension of the Lehmers’ picturesque exponential sums
- A Centennial History of the Prime Number Theorem
- The Mechanical Universe: Introduction to Mechanics and Heat
- Analytic Proof of the Prime Number Theorem
- New Descriptions of Conics via Twisted Cylinders, Focal Disks, and Directors
- Centroids Constructed Graphically
- The Fundamental Theorem of Arithmetic
- Sums of Squares of Distances
- A short proof of Shô Iseki’s functional equation
- Teaching Mathematics with Computer Animated Videotapes.
- Binary vectors with prescribed subsets of consecutive ones
- Surprising Geometric Properties of Exponential Functions
- Term-Wise Differentiation of Power Series
- Volume/Surface Area Relations for n-Dimensional Spheres, Pseudospheres, and Catenoids
- Isoperimetric and Isoparametric Problems
- Functions of number theory
- 90.36 Bernoulli’s power-sum formulas revisited
- A Century Of Calculus
- What Is the Most Surprising Result in Mathematics? Part II
- Computer Animated Mathematics Videotapes
- Another Elementary Proof of Euler ' s Formula for ζ ( 2 n ) Author ( s ) :
- New Insight into Cycloidal Areas
- What Is the Most Surprising Result in Mathematics
- Area & Arc Length of Trochogonal Arches
- On magic squares constructed by the uniform step method
- Cycloidal Areas without Calculus
- ENERGY: CONSERVATION AND CONVERSION
- The Dedekind eta function
- Rademacher’s series for the partition function
- New Balancing Principles Applied to Circumsolids of Revolution, and to n-Dimensional Spheres, Cylindroids, and Cylindrical Wedges
- The Mechanical Universe: Preface
- 87.02 Sums of consecutive positive integers
- Dirichlet’s Theorem on Primes in Arithmetical Progressions
- A Note on Periodic Completely Multiplicative Arithmetical Functions
- Selected papers on precalculus
- Ellipse to Hyperbola: “With This String I Thee Wed”
- The modular group and modular functions
- Volumes of solids swept tangentially around cylinders
- On the nonvanishing of homogeneous product sums
- Kronecker’s theorem with applications
- New Horizons in Geometry: Unwrapping Curves from Cylinders and Cones
- Asymptotic Series Related to the Partition Function
- Proof Without Words: Surprising Property of Hyperbolas
- Generalized Cyclogons
- Introduction, with vectors and analytic geometry
- A Characteristic Property of the Mobius Function
- Averages of Arithmetical Functions
- New Horizons in Geometry: Bibliography
- Complete Dissections: Converting Regions and Their Boundaries
- General Dirichlet series and Bohr’s equivalence theorem
- Ode to andrew wiles, kbe
- Some Elementary Theorems on the Distribution of Prime Numbers
- Selected Papers on Calculus
- Sums of squares of integers in arithmetic progression
- UNIVERSAL GRAVITATION AND CIRCULAR MOTION
- New Horizons in Geometry: New Balancing Principles with Applications
- The Functions ζ(s) and L(s, χ)
- Note on the trivial zeros of Dirichlet $L$-functions
- Surprisingly Accurate Rational Approximations
- Elliptic Dedekind-Rademacher Sums and Transformation Formulae of Certain Infinite Series
- New Horizons in Geometry: Introduction
- Identities for series of the type Σ()()
- New Horizons in Geometry: Ellipse to Hyperbola: “With This String I Thee Wed”
- THE QUEST FOR LOW TEMPERATURE
- IDENTITIES FOR SERIES OF THE TYPE 2 f ( n ) p ( n ) n-3
- Periodic Arithmetical Functions and Gauss Sums
- Index To Volume 120, 2013
- Problems for Solution: E1001-E1005
- New Horizons in Geometry: Cyclogons and Trochogons
- FORCES IN ACCELERATING REFERENCE FRAMES
- TEMPERATURE AND THE GAS LAWS
- New Horizons in Geometry: Foreword
- EULER SUMS REVISITED
- The Method of Punctured Containers
- THE APPROXIMATE FUNCTIONAL EQUATION OF
- New Horizons in Geometry: Isoperimetric and Isoparametric Problems
- THE LANGUAGE OF NATURE: DERIVATIVES AND INTEGRALS
- New Horizons in Geometry: Trammels
- New Horizons in Geometry: Centroids
- Finite Abelian Groups and Their Characters
- Quadratic Residues and the Quadratic Reciprocity Law
- Summing the Initial Inverted Powers: 11128
- Early History of Mathematics
- The Mechanical Universe: INTRODUCTION TO THE MECHANICAL UNIVERSE (Program 1)
- The Mechanical Universe: ROTATIONAL DYNAMICS FOR RIGID BODIES
- Beyond the Mechanical Universe
- The Mechanical Universe: THE INTERNATIONAL SYSTEM OF UNITS
- Good Rational Approximations to Logarithms
- New Horizons in Geometry: Arclength and Tanvolutes
- ANGULAR MOMENTUM (Program 19)
- The Mechanical Universe: SELECTED BIBLIOGRAPHY
- New Horizons in Geometry: New Descriptions of Conics via Twisted Cylinders, Focal Disks, and Directors
- THE APRIL MEETING IN BERKELEY The four hundred thirty-sixth meeting of the American Mathe -
- Grassroots Democratic Activism in Altadena, California, in the Mid-Twentieth Century
- New Horizons in Geometry: Circumgons and Circumsolids
- New Horizons in Geometry: Preface
- Volume/Surface Area Ratios for Globes, with Applications
- Problems for Solution: 4693-4697
- Arithmetical Functions and Dirichlet Multiplication
- Index to the Mathematical Gazette
- THE CONSERVATION OF MOMENTUM
- Sums of consecutive positive integers
- New Horizons in Geometry: Appendix
- Video Based Hypermedia for Communicating Mathematics
- A New Look at Surfaces of Constant Curvature
- Congruences for the coefficients of the modular function j
- The Mechanical Universe: ANGULAR MOMENTUM
- Cycloidal Areas without Calculus
- Dirichlet Series and Euler Products
- The Mechanical Universe: KEPLER'S LAWS AND THE CONIC SECTIONS
- Visualization in Learning Mathematics with Hypervideo: The Story of Pi demo
- New Horizons in Geometry: Sums of Squares
- Topological Treatment of Platonic , Archimedean , and Related Polyhedra
- The Mechanical Universe: SOLVING THE KEPLER PROBLEM
- THE JUNE MEETING IN EUGENE The four hundred eight-second meeting of the American Mathe-
- New Horizons in Geometry: The Method of Punctured Containers
- NAVIGATING IN SPACE
- New Horizons in Geometry: Cycloids and Trochoids
- Triangles in Rectangles
- The Mechanical Universe: NEWTON'S LAWS AND EQUILIBRIUM
- Elementary Problems: E2438-E2443
- Problems for Solution: 4473-4477
- Volumes of Solids Swept Tangentially Around General Surfaces
- New Horizons in Geometry: About the Authors
- Linear Algebra
- FORMULAS FROM ALGEBRA, GEOMETRY, AND TRIGONOMETRY
- The Mechanical Universe: VECTORS
- THE DECEMBER MEETING IN PASADENA The four hundred seventy-sixth meeting of the American
- Primitive character sums and Dirichlet L-functions†
- New Horizons in Geometry: Mamikon's Sweeping Tangent Theorem
- Sines and Cosines. Part 3 of 3
- The Mechanical Universe: THE LAW OF FALLING BODIES (Program 2)
- The Tunnels of Samos
- THE ENGINE OF NATURE
- Calculus vol. 2 : multi-variabel calculus and linear algebra, with applications to differential equations and probability / Tom M. Apostol
- A Glance at the World
- Modular forms with multiplicative coefficients

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