Books written by Tom M. Apostol
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Calculus
Calculus
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The Mechanical Universe: Introduction to Mechanics and Heat
Therefore, by using crossed electric and magnetic fields and adjusting them so that the electron beam is not deflected, Thomson could determine the speed of the electrons. Questions 1. If the entire cathode-ray beam bent the same amount ...
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Introduction to Analytic Number Theory
For this reason, the book starts with the most elementary properties of the natural integers. Nevertheless, the text succeeds in presenting an enormous amount of material in little more than 300 pages."-—MATHEMATICAL REVIEWS
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Calculus, Volume I, 2nd Ed One-variable Calculus, with an Introduction to Linear Algebra
· Some Basic Concepts Of The Theory Of Sets · A Set Of Axioms For The Real Number System · Mathematical Induction, Summation Notation, And Related Topics · The Concepts Of The Integral Calculus · Some Applications Of Differentiation · ...
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The Mechanical Universe: Mechanics and Heat, Advanced Edition
published in a series of three volumes that have become genuine and indispensable classics of the science literature . The teaching of physics at Caltech , like the teaching of science courses everywhere , is constantly undergoing ...
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Linear Algebra: A First Course with Applications to Differential Equations
Developed from the author's successful two-volume Calculus text this book presents Linear Algebra without emphasis on abstraction or formalization.
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Modular Functions and Dirichlet Series in Number Theory
A new edition of a classical treatment of elliptic and modular functions with some of their number-theoretic applications, this text offers an updated bibliography and an alternative treatment of the transformation formula for the Dedekind ...
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Beyond the Mechanical Universe: From Electricity to Modern Physics
This 1987 book studies electricity and magnetism, light, the special theory of relativity and modern physics.
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New Horizons in Geometry
As befits a book that emphasises visual thinking, the text is beautifully illustrated. This is a book that will inspire students and enrich any geometry or calculus course.
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The Mechanical Universe: Mechanics and Heat, Advanced Edition
This innovative physics textbook develops classical mechanics from a historical perspective while introducing new concepts.
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New Horizons in Geometry
New Horizons in Geometry
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Linear Algebra: A First Course with Applications to Differential Equations
is independent and spans this space, no finite set of polynomials spans this space, so it has no finite basis. EXAMPLE 4. (This example requires a knowledge of differential equations.) The linear differential equation y′′ – 2y′ – 3y = 0 ...
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Calculus
Integration is treated before differentiation--this is a departure from most modern texts, but it is historically correct, and it is the best way to establish the true connection between the integral and the derivative.
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Calculus
Integration is treated before differentiation -- this is a departure from most modern texts, but it is historically correct, and it is the best way to establish the true connection between the integral and the derivative.
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Calculus I: Cálculo con funciones de una variable, con una introducción al Álgebra Lineal
Los dos tomos de este Calculus sirven muy adecuadamente como textos de dos primeros cursos en estudios que requieran una sólida base matemática, pues a las notables cualidades didácticas de un libro destinado a introducir al estudiante ...
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Introducción a la teoría analítica. III
... Análisis tales como los límites y la continuidad . Por este motivo puso los fundamentos de una nueva rama de la Matemática llamada Teoría analítica de números , en la cual se utilizan ideas y métodos del Análisis real y com- plejo para ...
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Introducción a la teoría analítica de números
El profesor T. M. Apostol, cuyos buenos textos de Análisis y Calculus tuvieron siempre gran aceptación, publica ahora una introducción a la teoría de números, en la que, con un orden y una claridad expositiva ejemplares, muestra al ...
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Calculus. I: Cálculo con funciones de una variable, con una introducción al Álgebra Lineal
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解析数论导引
解析数论导引