Apostol, Tom M.
Overview
Works:  264 works in 1,103 publications in 8 languages and 13,022 library holdings 

Genres:  Educational films Short films Nonfiction films Animated films History 
Roles:  Author, Editor, Creator, Director, Scenarist 
Classifications:  QA300, 517 
Publication Timeline
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Most widely held works about
Tom M Apostol
 Patras diary by Jane Apostol( Book )
 Apostol, Tom M. : Mathematics( )
 Interview with Tom Apostol by Tom M Apostol( Book )
 A treatise on problems in Apostol's mathematical analysis by Adam Y Wu( Book )
Most widely held works by
Tom M Apostol
Mathematical analysis : a modern approach to advanced calculus by
Tom M Apostol(
Book
)
137 editions published between 1950 and 2008 in 4 languages and held by 1,875 WorldCat member libraries worldwide
Index
137 editions published between 1950 and 2008 in 4 languages and held by 1,875 WorldCat member libraries worldwide
Index
Introduction to analytic number theory by
Tom M Apostol(
Book
)
58 editions published between 1976 and 2011 in 5 languages and held by 1,065 WorldCat member libraries worldwide
This introductory textbook is designed to teach undergraduates the basic ideas and techniques of number theory, with special consideration to the principles of analytic number theory. The first five chapters treat elementary concepts such as divisibility, congruence and arithmetical functions. The topics in the next chapters include Dirichlet's theorem on primes in progressions, Gauss sums, quadratic residues, Dirichlet series, and Euler products with applications to the Riemann zeta function and Dirichlet Lfunctions. Also included is an introduction to partitions. Among the strong points of the book are its clarity of exposition and a collection of exercises at the end of each chapter. The first ten chapters, with the exception of one section, are accessible to anyone with knowledge of elementary calculus; the last four chapters require some knowledge of complex function theory including complex integration and residue calculus
58 editions published between 1976 and 2011 in 5 languages and held by 1,065 WorldCat member libraries worldwide
This introductory textbook is designed to teach undergraduates the basic ideas and techniques of number theory, with special consideration to the principles of analytic number theory. The first five chapters treat elementary concepts such as divisibility, congruence and arithmetical functions. The topics in the next chapters include Dirichlet's theorem on primes in progressions, Gauss sums, quadratic residues, Dirichlet series, and Euler products with applications to the Riemann zeta function and Dirichlet Lfunctions. Also included is an introduction to partitions. Among the strong points of the book are its clarity of exposition and a collection of exercises at the end of each chapter. The first ten chapters, with the exception of one section, are accessible to anyone with knowledge of elementary calculus; the last four chapters require some knowledge of complex function theory including complex integration and residue calculus
Calculus by
Tom M Apostol(
Book
)
35 editions published between 1196 and 2014 in English and Undetermined and held by 966 WorldCat member libraries worldwide
35 editions published between 1196 and 2014 in English and Undetermined and held by 966 WorldCat member libraries worldwide
Modular functions and Dirichlet series in number theory by
Tom M Apostol(
Book
)
30 editions published between 1976 and 1997 in 3 languages and held by 835 WorldCat member libraries worldwide
This volume is a sequel to the author's Introduction to Analytic Number Theory (UTM 1976, 3rd Printing 1986). It presupposes an undergraduate background in number theory comparable to that provided in the first volume, together with a knowledge of the basic concepts of complex analysis. Most of this book is devoted to a classical treatment of elliptic and modular functions with some of their numbertheoretic applications. Among the major topics covered are Rademacher's convergent series for the partition modular function, Lehner's congruences for the Fourier coefficients of the modular function j, and Hecke's theory of entire forms with multiplicative Fourier coefficients. The last chapter gives an account of Bohr's theory of equivalence of general Dirichlet series. In addition to the correction of misprints, minor changes in the exercises and an updated bibliography, this new edition includes an alternative treatment of the transformation formula for the Dedekind eta function, which appears as a fivepage supplement to Chapter 3
30 editions published between 1976 and 1997 in 3 languages and held by 835 WorldCat member libraries worldwide
This volume is a sequel to the author's Introduction to Analytic Number Theory (UTM 1976, 3rd Printing 1986). It presupposes an undergraduate background in number theory comparable to that provided in the first volume, together with a knowledge of the basic concepts of complex analysis. Most of this book is devoted to a classical treatment of elliptic and modular functions with some of their numbertheoretic applications. Among the major topics covered are Rademacher's convergent series for the partition modular function, Lehner's congruences for the Fourier coefficients of the modular function j, and Hecke's theory of entire forms with multiplicative Fourier coefficients. The last chapter gives an account of Bohr's theory of equivalence of general Dirichlet series. In addition to the correction of misprints, minor changes in the exercises and an updated bibliography, this new edition includes an alternative treatment of the transformation formula for the Dedekind eta function, which appears as a fivepage supplement to Chapter 3
Calculus by
Tom M Apostol(
Book
)
36 editions published between 1961 and 1999 in 4 languages and held by 812 WorldCat member libraries worldwide
36 editions published between 1961 and 1999 in 4 languages and held by 812 WorldCat member libraries worldwide
Selected papers on calculus by
Tom M Apostol(
Book
)
17 editions published between 1969 and 1979 in English and Undetermined and held by 778 WorldCat member libraries worldwide
17 editions published between 1969 and 1979 in English and Undetermined and held by 778 WorldCat member libraries worldwide
The mechanical universe : introduction to mechanics and heat by
Richard P Olenick(
Book
)
21 editions published between 1985 and 2008 in English and held by 576 WorldCat member libraries worldwide
This innovative physics textbook intended for science and engineering majors develops classical mechanics from a historical perspective. The presentation of the standard course material includes a discussion of the thought processes of the discoverers and a description of the methods by which they arrived at their theories. However the presentation proceeds logically rather than strictly chronologically, so new concepts are introduced at the natural moment. The book assumes a familiarity with calculus, includes a discussion of rigid body motion, and contains numerous thoughtprovoking problems. It is largely based in content on The Mechanical Universe: Introduction to Mechanics and Heat, a book designed in conjunction with a telecourse to be offered by PBS in the Fall of 1985. The advanced edition, however, does not coincide exactly with the video lessons, contains additional material, and develops the fundamental ideas introduced in the lowerlevel edition to a greater degree
21 editions published between 1985 and 2008 in English and held by 576 WorldCat member libraries worldwide
This innovative physics textbook intended for science and engineering majors develops classical mechanics from a historical perspective. The presentation of the standard course material includes a discussion of the thought processes of the discoverers and a description of the methods by which they arrived at their theories. However the presentation proceeds logically rather than strictly chronologically, so new concepts are introduced at the natural moment. The book assumes a familiarity with calculus, includes a discussion of rigid body motion, and contains numerous thoughtprovoking problems. It is largely based in content on The Mechanical Universe: Introduction to Mechanics and Heat, a book designed in conjunction with a telecourse to be offered by PBS in the Fall of 1985. The advanced edition, however, does not coincide exactly with the video lessons, contains additional material, and develops the fundamental ideas introduced in the lowerlevel edition to a greater degree
Beyond the mechanical universe : from electricity to modern physics by
Richard P Olenick(
Book
)
17 editions published between 1986 and 2008 in 3 languages and held by 505 WorldCat member libraries worldwide
17 editions published between 1986 and 2008 in 3 languages and held by 505 WorldCat member libraries worldwide
Selected papers on precalculus by
Raymond W Brink(
Book
)
15 editions published in 1977 in English and held by 480 WorldCat member libraries worldwide
15 editions published in 1977 in English and held by 480 WorldCat member libraries worldwide
New horizons in geometry by
Tom M Apostol(
Book
)
20 editions published between 2012 and 2016 in 3 languages and held by 365 WorldCat member libraries worldwide
"Classical calculus problems generalized and solved by elementary geometrical methods, with 1000 color illustrations."Publisher's description
20 editions published between 2012 and 2016 in 3 languages and held by 365 WorldCat member libraries worldwide
"Classical calculus problems generalized and solved by elementary geometrical methods, with 1000 color illustrations."Publisher's description
A century of calculus(
Book
)
7 editions published in 1992 in English and held by 358 WorldCat member libraries worldwide
Selected papers reprinted from American mathematical monthly (Volumes 1  75) and Mathematics magazine (Volumes 1  40)
7 editions published in 1992 in English and held by 358 WorldCat member libraries worldwide
Selected papers reprinted from American mathematical monthly (Volumes 1  75) and Mathematics magazine (Volumes 1  40)
Linear algebra : a first course, with applications to differential equations by
Tom M Apostol(
Book
)
20 editions published between 1997 and 2014 in 3 languages and held by 356 WorldCat member libraries worldwide
"This text provides ample coverage of major topics traditionally taught in a first course on linear algebra: linear spaces, independence, orthogonality, linear transformations, matrices, eigenvalues, and quadratic forms. The last three chapters describe applications to differential equations. Although much of the material has been extracted from the author's twovolume Calculus, the present text is designed to be independent of the Calculus volumes."Jacket
20 editions published between 1997 and 2014 in 3 languages and held by 356 WorldCat member libraries worldwide
"This text provides ample coverage of major topics traditionally taught in a first course on linear algebra: linear spaces, independence, orthogonality, linear transformations, matrices, eigenvalues, and quadratic forms. The last three chapters describe applications to differential equations. Although much of the material has been extracted from the author's twovolume Calculus, the present text is designed to be independent of the Calculus volumes."Jacket
The Theorem of Pythagoras by
Tom M Apostol(
Visual
)
13 editions published between 1988 and 1989 in 3 languages and held by 235 WorldCat member libraries worldwide
After posing problems from real life than can be solved by using the Pythagorean theorem, the videotape provides a historical perspective together with several different animated proofs. The theorem is extended to three dimensions. A dramatic view of the earth shows why the theorem fails on the surface of a sphere
13 editions published between 1988 and 1989 in 3 languages and held by 235 WorldCat member libraries worldwide
After posing problems from real life than can be solved by using the Pythagorean theorem, the videotape provides a historical perspective together with several different animated proofs. The theorem is extended to three dimensions. A dramatic view of the earth shows why the theorem fails on the surface of a sphere
The Story of pi by
Tom M Apostol(
Visual
)
5 editions published in 1989 in English and No Linguistic content and held by 211 WorldCat member libraries worldwide
Math tutorial which defines pi, discusses its early history, and demonstrates its uses
5 editions published in 1989 in English and No Linguistic content and held by 211 WorldCat member libraries worldwide
Math tutorial which defines pi, discusses its early history, and demonstrates its uses
Similarity by
California Institute of Technology(
Visual
)
8 editions published in 1990 in English and held by 145 WorldCat member libraries worldwide
Discusses the ratios of geometrical figures, their mathematical similarities, and the practical applications of using the mathematics
8 editions published in 1990 in English and held by 145 WorldCat member libraries worldwide
Discusses the ratios of geometrical figures, their mathematical similarities, and the practical applications of using the mathematics
Polynomials by
Tom M Apostol(
Visual
)
10 editions published in 1991 in 3 languages and held by 126 WorldCat member libraries worldwide
Animations show how the Cartesian equation changes if the graph of a polynomial is translated or subjected to a vertical change of scale. Zeros, local extrema, and points of inflection are discussed. Reallife examples include parabolic trajectories and the use of cubic splines in designing sailboats and computergenerated teapots
10 editions published in 1991 in 3 languages and held by 126 WorldCat member libraries worldwide
Animations show how the Cartesian equation changes if the graph of a polynomial is translated or subjected to a vertical change of scale. Zeros, local extrema, and points of inflection are discussed. Reallife examples include parabolic trajectories and the use of cubic splines in designing sailboats and computergenerated teapots
Análisis matemático by
Tom M Apostol(
Book
)
32 editions published between 1957 and 2006 in Spanish and held by 124 WorldCat member libraries worldwide
El sistema de los numeros reales y el de los complejos; Algumas nociones basicas de la teoria de conjuntos; Elementos de topologia en conjuntos de puntos; Limites y continuidad; Derivados; Functiones de variacion acotada y curvas rectificables; La integral de RiemannStieltjes; Series infinitas y productos infinitos; Sucesiones de funciones; La integral de Lebesgue; Series de Fourier e integrales de Fourier; Calculo diferencial de varias variables. Funciones implicitas y problemas de extremos; Integrales multiples de Riemann; Integrales de Lebesgue multiples; Teorema de Cauchy y calculo de residuos
32 editions published between 1957 and 2006 in Spanish and held by 124 WorldCat member libraries worldwide
El sistema de los numeros reales y el de los complejos; Algumas nociones basicas de la teoria de conjuntos; Elementos de topologia en conjuntos de puntos; Limites y continuidad; Derivados; Functiones de variacion acotada y curvas rectificables; La integral de RiemannStieltjes; Series infinitas y productos infinitos; Sucesiones de funciones; La integral de Lebesgue; Series de Fourier e integrales de Fourier; Calculo diferencial de varias variables. Funciones implicitas y problemas de extremos; Integrales multiples de Riemann; Integrales de Lebesgue multiples; Teorema de Cauchy y calculo de residuos
Calculus by
Tom M Apostol(
Book
)
32 editions published between 1965 and 2011 in Spanish and English and held by 111 WorldCat member libraries worldwide
Calculus / Tom M. Apostol.  v.2
32 editions published between 1965 and 2011 in Spanish and English and held by 111 WorldCat member libraries worldwide
Calculus / Tom M. Apostol.  v.2
Sines and cosines(
Visual
)
3 editions published in 1992 in English and held by 86 WorldCat member libraries worldwide
"Sines and cosines occur as rectangular coordinates of a point moving on a unit circle, as graphs related to vibrating motion, and as ratios of sides of right triangles. They are related by reflection or translation of their graphs. Animation demonstrates the Gibbs phenomenon of Fourier series."Www.projectmathematics.com
3 editions published in 1992 in English and held by 86 WorldCat member libraries worldwide
"Sines and cosines occur as rectangular coordinates of a point moving on a unit circle, as graphs related to vibrating motion, and as ratios of sides of right triangles. They are related by reflection or translation of their graphs. Animation demonstrates the Gibbs phenomenon of Fourier series."Www.projectmathematics.com
Early history(
Visual
)
1 edition published in 2000 in English and held by 75 WorldCat member libraries worldwide
"Two introductory segments give an overview of the program. The first outlines some of the important developments in the period from 3000 B.C. to 300 B.C., which culminated with the publication of Euclid's Elements. The second gives an outline of some of the landmark achievements from 300 B.C. up to the events that led to the development of calculus. The remaining segments describe in more detail some of the important highlights on the road to calculus. They discuss number systems developed in different cultures; numerology or number mysticism as practiced by the Pythagoreans; the origin of number theory as an outgrowth of numerology; the Pythagorean Theorem for right triangles and how it led to the discovery of irrational numbers; the golden age of Hellenistic mathematics as it flourished in the ancient city of Alexandria; the multicultural search for an understanding of the number pi and the landmark contributions to this effort by Archimedes; how astronomy gave birth to trigonometry; and other developments such as algebra and analytic geometry that eventually led to the calculus."Www.projectmathematics.com
1 edition published in 2000 in English and held by 75 WorldCat member libraries worldwide
"Two introductory segments give an overview of the program. The first outlines some of the important developments in the period from 3000 B.C. to 300 B.C., which culminated with the publication of Euclid's Elements. The second gives an outline of some of the landmark achievements from 300 B.C. up to the events that led to the development of calculus. The remaining segments describe in more detail some of the important highlights on the road to calculus. They discuss number systems developed in different cultures; numerology or number mysticism as practiced by the Pythagoreans; the origin of number theory as an outgrowth of numerology; the Pythagorean Theorem for right triangles and how it led to the discovery of irrational numbers; the golden age of Hellenistic mathematics as it flourished in the ancient city of Alexandria; the multicultural search for an understanding of the number pi and the landmark contributions to this effort by Archimedes; how astronomy gave birth to trigonometry; and other developments such as algebra and analytic geometry that eventually led to the calculus."Www.projectmathematics.com
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Related Identities
 Mnatsakanian, Mamikon A. Illustrator Author Contributor
 California Institute of Technology Producer
 Goodstein, David L. 1939
 Mathematical Association of America Publisher
 Olenick, Richard P. Author
 Project Mathematics!
 Freedman, Benedict
 Hibbs, Al Narrator
 Davis, Susan G. 1953 Narrator
 Lattanzio, Robert
Useful Links
Associated Subjects
Algebra Algebraic number theory Algebras, Linear Apostol, Jane Apostol, Tom M Arithmetic functions Calculus California Institute of Technology Canada Circle Circlesquaring College teachers Differential equations Dirichlet series Elliptic functions Geometry GreecePatrai Heat Mathematical analysis Mathematicians Mathematics MathematicsStudy and teaching MathematicsStudy and teaching (Secondary)Audiovisual aids Mechanical universe (Television program) Mechanics Modular functions Numbers, Prime Number theory Numerals Physics PhysicsStudy and teaching (Higher) PhysicsStudy and teaching (Higher)Audiovisual aids Pi Polynomials Precalculus Probabilities Pythagoras Pythagorean theorem Ratio and proportion Resemblance (Philosophy) Scaling laws (Statistical physics) Scientists Similarity (Geometry) Soundwaves Teachers Triangle Trigonometry United States Variables (Mathematics) Vibration
Alternative Names
Apostol, T.M.
Apostol, T. M. 1923
Apostol, T. M. 19232016
Apostol, Tom Mike 1923
Apostol, Tom Mike 19232016
Tom Apostol Amerikaans wiskundige
Tom Apostol USamerikanischer Mathematiker
Tom M. Apostol amerikansk matematikar
Tom M. Apostol amerikansk matematiker
Tom M. Apostol matemático estadounidense
Tom M. Apostol matematico statunitense
Tom M. Apostol mathématicien américain
Tom Mike Apostol
Τομ Άποστολ Αμερικανός μαθηματικός
Том Апостол
アポストル
トム・アポストル
湯姆·麥克·阿波斯托
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