WorldCat Identities

Apostol, Tom M.

Overview
Works: 197 works in 712 publications in 5 languages and 11,417 library holdings
Genres: History  Surveys 
Roles: Editor, Creator, Director, Scenarist, Producer, Film editor
Classifications: QA300, 517
Publication Timeline
Key
Publications about  Tom M Apostol Publications about Tom M Apostol
Publications by  Tom M Apostol Publications by Tom M Apostol
Most widely held works about Tom M Apostol
 
Most widely held works by Tom M Apostol
Calculus by Tom M Apostol ( Book )
59 editions published between 1196 and 1999 in 4 languages and held by 1,831 WorldCat member libraries worldwide
Selected papers on calculus by Raymond W Brink ( Book )
20 editions published between 1969 and 1979 in English and Undetermined and held by 1,293 WorldCat member libraries worldwide
Mathematical analysis : a modern approach to advanced calculus by Tom M Apostol ( Book )
57 editions published between 1957 and 2008 in English and Undetermined and held by 1,138 WorldCat member libraries worldwide
Index
Introduction to analytic number theory by Tom M Apostol ( Book )
42 editions published between 1976 and 2011 in 4 languages and held by 1,017 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
Modular functions and Dirichlet series in number theory by Tom M Apostol ( Book )
19 editions published between 1976 and 1997 in 3 languages and held by 804 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
Mathematical analysis by Tom M Apostol ( Book )
30 editions published between 1957 and 2007 in 3 languages and held by 665 WorldCat member libraries worldwide
The real and complex number systems. Some basic notions of set theory. Elements of point set topology. Limits and continuity. Derivatives. Functions of bounded variation and rectifiable curves. The Riemann-stieltjes integral. Infinite series and infinite products. Sequences of functions. The lebesgue integral. Fourier series and fourier integrals. Multivariable differential calculus. Implicit functions and extremum problems. Multiple Riemann integrals. Multiple lebesgue integrals. Cauchy's theorem and the residue calculus
The mechanical universe : introduction to mechanics and heat by Richard P Olenick ( Book )
10 editions published between 1985 and 2008 in English and held by 591 WorldCat member libraries worldwide
Beyond the mechanical universe : from electricity to modern physics by Richard P Olenick ( Book )
13 editions published between 1986 and 2008 in English and Italian and held by 493 WorldCat member libraries worldwide
New horizons in geometry by Tom M Apostol ( Book )
8 editions published between 2012 and 2013 in English and held by 390 WorldCat member libraries worldwide
Calculus problems solved by elementary geometrical methods --- P. 4 of cover
A century of calculus ( Book )
8 editions published in 1992 in English and held by 361 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 )
11 editions published between 1997 and 2006 in English and held by 332 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
The Theorem of Pythagoras by Tom M Apostol ( Visual )
11 editions published between 1988 and 1989 in 3 languages and held by 311 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 California Institute of Technology ( Visual )
7 editions published in 1989 in English and No Linguistic content and held by 274 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 185 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 between 1991 and 2005 in 3 languages and held by 173 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
Calculus. Calculus of several variables with applications to probability and vector analysis by Tom M Apostol ( Book )
49 editions published between 1962 and 2004 in 3 languages and held by 110 WorldCat member libraries worldwide
Early history ( Visual )
1 edition published in 2000 in English and held by 110 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
Sines and cosines by Apostol ( Visual )
2 editions published in 1992 in English and held by 108 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
Sines and cosines by Apostol ( Visual )
1 edition published in 1993 in English and held by 82 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
The Tunnel of Samos ( Visual )
4 editions published in 1995 in English and held by 75 WorldCat member libraries worldwide
"This video describes a remarkable engineering work of ancient times: excavating a one-kilometer tunnel straight through the heart of a mountain, using separate crews that dug from the two ends and met in the middle. How did they determine the direction for excavation? The program gives Hero's explanation (ca. 60 A.D.), using similar triangles, as well as alternative methods proposed in modern times."--Www.projectmathematics.com
 
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Audience level: 0.51 (from 0.08 for The Theore ... to 0.76 for Modular fu ...)
Alternative Names
Apostol, T.M.
Apostol, T. M. 1923-
Apostol, Tom Mike 1923-
Languages
English (328)
Spanish (24)
Persian (3)
Greek, Modern (2)
Italian (1)
Covers