Apostol, Tom M.
Overview
Works:  289 works in 1,285 publications in 6 languages and 13,033 library holdings 

Genres:  Educational films Nonfiction films Short films Animated films History Filmed lectures Educational television programs Nonfiction television programs Surveys Internet videos 
Roles:  Author, Editor, Creator, Director, Restager , Other, Scenarist 
Classifications:  QA300, 517 
Publication Timeline
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Most widely held works about
Tom M Apostol
 Patras diary by Jane Apostol( Book )
 Interview with Tom Apostol by Tom M Apostol( Book )
 Apostol, Tom M. : Mathematics( )
 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
)
191 editions published between 1950 and 2009 in 5 languages and held by 2,021 WorldCat member libraries worldwide
Index
191 editions published between 1950 and 2009 in 5 languages and held by 2,021 WorldCat member libraries worldwide
Index
Calculus by
Tom M Apostol(
Book
)
53 editions published between 1961 and 2011 in English and Spanish and held by 1,713 WorldCat member libraries worldwide
53 editions published between 1961 and 2011 in English and Spanish and held by 1,713 WorldCat member libraries worldwide
New horizons in geometry by
Tom M Apostol(
)
19 editions published between 2012 and 2018 in English and Undetermined and held by 1,344 WorldCat member libraries worldwide
"Classical calculus problems generalized and solved by elementary geometrical methods, with 1000 color illustrations."Publisher's description
19 editions published between 2012 and 2018 in English and Undetermined and held by 1,344 WorldCat member libraries worldwide
"Classical calculus problems generalized and solved by elementary geometrical methods, with 1000 color illustrations."Publisher's description
Introduction to analytic number theory by
Tom M Apostol(
Book
)
62 editions published between 1976 and 2013 in 5 languages and held by 1,211 WorldCat member libraries worldwide
This text is the first volume of a twovolume textbook for undergraduates and is indeed the crystallization of a course offered by the author at the California Institute of Technology to undergraduates without any previous knowledge of number theory
62 editions published between 1976 and 2013 in 5 languages and held by 1,211 WorldCat member libraries worldwide
This text is the first volume of a twovolume textbook for undergraduates and is indeed the crystallization of a course offered by the author at the California Institute of Technology to undergraduates without any previous knowledge of number theory
Modular functions and Dirichlet series in number theory by
Tom M Apostol(
Book
)
25 editions published between 1976 and 1997 in English and held by 933 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
25 editions published between 1976 and 1997 in English and held by 933 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
Selected papers on calculus by
Tom M Apostol(
Book
)
16 editions published between 1969 and 1979 in English and Undetermined and held by 755 WorldCat member libraries worldwide
16 editions published between 1969 and 1979 in English and Undetermined and held by 755 WorldCat member libraries worldwide
The mechanical universe : introduction to mechanics and heat by
Richard P Olenick(
Book
)
23 editions published between 1985 and 2008 in English and held by 559 WorldCat member libraries worldwide
23 editions published between 1985 and 2008 in English and held by 559 WorldCat member libraries worldwide
Beyond the mechanical universe : from electricity to modern physics by
Richard P Olenick(
Book
)
16 editions published between 1986 and 2008 in English and held by 476 WorldCat member libraries worldwide
16 editions published between 1986 and 2008 in English and held by 476 WorldCat member libraries worldwide
Selected papers on precalculus by
Raymond W Brink(
Book
)
14 editions published in 1977 in English and Undetermined and held by 464 WorldCat member libraries worldwide
14 editions published in 1977 in English and Undetermined and held by 464 WorldCat member libraries worldwide
Linear algebra : a first course, with applications to differential equations by
Tom M Apostol(
Book
)
19 editions published between 1997 and 2014 in English and held by 376 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
19 editions published between 1997 and 2014 in English and held by 376 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
A century of calculus(
Book
)
7 editions published in 1992 in English and held by 349 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 349 WorldCat member libraries worldwide
Selected papers reprinted from American mathematical monthly (Volumes 1  75) and Mathematics magazine (Volumes 1  40)
The Theorem of Pythagoras by
Tom M Apostol(
Visual
)
14 editions published between 1988 and 1989 in English and Undetermined and held by 207 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
14 editions published between 1988 and 1989 in English and Undetermined and held by 207 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
)
7 editions published in 1989 in English and No Linguistic content and held by 185 WorldCat member libraries worldwide
Math tutorial which defines pi, discusses its early history, and demonstrates its uses
7 editions published in 1989 in English and No Linguistic content and held by 185 WorldCat member libraries worldwide
Math tutorial which defines pi, discusses its early history, and demonstrates its uses
Calculus by
Tom M Apostol(
Book
)
77 editions published between 1196 and 2001 in 5 languages and held by 155 WorldCat member libraries worldwide
V.1. Calculo con funciones de una introduccion al algebra lineal. v.2.Calculo con funciones de varias variables y algebra lineal, con aplicaciones e las ecuaciones diferenciales y a las probabilidades
77 editions published between 1196 and 2001 in 5 languages and held by 155 WorldCat member libraries worldwide
V.1. Calculo con funciones de una introduccion al algebra lineal. v.2.Calculo con funciones de varias variables y algebra lineal, con aplicaciones e las ecuaciones diferenciales y a las probabilidades
Similarity by
California Institute of Technology(
Visual
)
7 editions published in 1990 in English and held by 129 WorldCat member libraries worldwide
Discusses the ratios of geometrical figures, then mathematical similarities, and the practical applications of using the mathematics
7 editions published in 1990 in English and held by 129 WorldCat member libraries worldwide
Discusses the ratios of geometrical figures, then mathematical similarities, and the practical applications of using the mathematics
Polynomials by
Barbara Choate(
Visual
)
9 editions published in 1991 in English and Undetermined and held by 108 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
9 editions published in 1991 in English and Undetermined and held by 108 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
Sines and cosines(
Visual
)
5 editions published between 1992 and 2005 in English and held by 84 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
5 editions published between 1992 and 2005 in English and held by 84 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
The Mechanical universe ... and beyond by
David L Goodstein(
Visual
)
2 editions published between 1989 and 2003 in English and held by 67 WorldCat member libraries worldwide
"A visually splendid introductory physics course, [this series] combines computer graphics and reenactments of the history of science with introductory lectures by David L. Goodstein of Caltech. This adventure of the mind traces the interaction of ideas from Aristotle to Einstein to explain the theories of Copernicus, Kepler, and Newton."Container
2 editions published between 1989 and 2003 in English and held by 67 WorldCat member libraries worldwide
"A visually splendid introductory physics course, [this series] combines computer graphics and reenactments of the history of science with introductory lectures by David L. Goodstein of Caltech. This adventure of the mind traces the interaction of ideas from Aristotle to Einstein to explain the theories of Copernicus, Kepler, and Newton."Container
Sines and cosines(
Visual
)
4 editions published in 1993 in English and held by 64 WorldCat member libraries worldwide
"This video focuses on trigonometry, with special emphasis on the law of cosines and the law of sines, together with applications to The Great Survey of India. The history of surveying instruments is outlined, from Hero's dioptra to modern orbiting satellites."Www.projectmathematics.com
4 editions published in 1993 in English and held by 64 WorldCat member libraries worldwide
"This video focuses on trigonometry, with special emphasis on the law of cosines and the law of sines, together with applications to The Great Survey of India. The history of surveying instruments is outlined, from Hero's dioptra to modern orbiting satellites."Www.projectmathematics.com
Early history(
Visual
)
1 edition published in 2000 in English and held by 61 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 61 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
 Goodstein, David L. 1939 Editor
 California Institute of Technology Producer
 Mathematical Association of America Publisher Editor
 Olenick, Richard P. Author
 Project Mathematics Other
 Freedman, Benedict
 Hibbs, Al Narrator
 Davis, Susan G. 1953 Narrator
 Hibbs, Al Narrator
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Associated Subjects
Algebras, Linear Arithmetic functions Atoms Calculus Circle Circlesquaring Copernicus, Nicolaus, Differential equations Dirichlet series Einstein, Albert, Electric circuits Electric discharges Electric fields ElectricityStudy and teaching Elliptic functions Force and energy Geometry Gravity Heat India Kepler, Johannes, Mathematical analysis Mathematics MathematicsStudy and teaching Mechanical universe (Television program) Mechanics MechanicsStudy and teaching (Higher) Modular functions Momentum (Mechanics) Newton, Isaac, Numbers, Prime Number theory Numerals Physics PhysicsStudy and teaching (Higher) PhysicsStudy and teaching (Higher)Audiovisual aids Pi Polynomials Precalculus Pythagorean theorem Ratio and proportion Similarity (Geometry) Soundwaves Space and time Surveying Triangle Triangulation Trigonometry United States Vibration
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Alternative Names
Apostol, T.M.
Apostol, T. M. 1923
Apostol, T. M. 19232016
Apostol, Tom M.
Apostol, Tom Mike 1923
Apostol, Tom Mike 19232016
Tom Apostol Amerikaans wiskundige
Tom Apostol matematico statunitense
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
تام آپستل ریاضیدان آمریکایی
アポストル
トム・アポストル
湯姆·麥克·阿波斯托
Languages