WorldCat Identities

Apostol, Tom M.

Overview
Works: 259 works in 1,094 publications in 8 languages and 13,023 library holdings
Genres: Educational films  Short films  Nonfiction films  Animated films  History 
Roles: Author, Editor, Creator, Director, Scenarist
Classifications: QA300, 517
Publication Timeline
.
Most widely held works about Tom M Apostol
 
Most widely held works by Tom M Apostol
Mathematical analysis : a modern approach to advanced calculus by Tom M Apostol( Book )

136 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 1,066 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 L-functions. 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 967 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 836 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 number-theoretic 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 five-page supplement to Chapter 3
Calculus by Tom M Apostol( Book )

50 editions published between 1961 and 1999 in 4 languages and held by 829 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 779 WorldCat member libraries worldwide

The mechanical universe : introduction to mechanics and heat by Richard P Olenick( Book )

22 editions published between 1985 and 2008 in English and Italian and held by 589 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 thought-provoking problems. It is largely based in content on The Mechanical Universe: Introduction to Mechanics and Heat, a book designed in conjunction with a tele-course 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 lower-level edition to a greater degree
Beyond the mechanical universe : from electricity to modern physics by Richard P Olenick( Book )

15 editions published between 1986 and 2008 in English and Undetermined and held by 489 WorldCat member libraries worldwide

Selected papers on precalculus by Tom M Apostol( Book )

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
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 358 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 two-volume 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 357 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 )

13 editions published between 1988 and 1989 in 3 languages and held by 236 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
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
Polynomials by Tom M Apostol( Visual )

10 editions published in 1991 in 3 languages and held by 127 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. Real-life examples include parabolic trajectories and the use of cubic splines in designing sailboats and computer-generated teapots
Análisis matemático by Tom M Apostol( Book )

31 editions published between 1957 and 2006 in Spanish and held by 121 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 Riemann-Stieltjes; 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 )

33 editions published between 1965 and 2011 in Spanish and English and held by 112 WorldCat member libraries worldwide

Calculus / Tom M. Apostol. -- v.2
Sines and cosines( Visual )

3 editions published in 1992 in English and held by 87 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 77 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 multi-cultural 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
 
moreShow More Titles
fewerShow Fewer Titles
Audience Level
0
Audience Level
1
  Kids General Special  
Audience level: 0.41 (from 0.13 for New horizo ... to 0.99 for Apostol, T ...)

Introduction to analytic number theory
Alternative Names
Apostol, T.M.

Apostol, T. M. 1923-

Apostol, T. M. 1923-2016

Apostol, Tom Mike 1923-

Apostol, Tom Mike 1923-2016

Tom Apostol Amerikaans wiskundige

Tom Apostol US-amerikanischer Mathematiker

Tom M. Apostol amerikansk matematikar

Tom M. Apostol amerikansk matematiker

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

Languages
Covers
Introduction to analytic number theoryCalculusModular functions and Dirichlet series in number theoryCalculusThe mechanical universe : introduction to mechanics and heatBeyond the mechanical universe : from electricity to modern physicsLinear algebra : a first course, with applications to differential equations