Tom M. Apostol

Vol. 1. One-variable calculus with an introduction to linear algebra

Calculus

An introduction to the calculus, with an excellent balance between theory and technique. 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. Proofs of all the important theorems are given, generally preceded by geometric or intuitive discussion. This Second Edition introduces the mean-value theorems and their applications earlier in the text, incorporates a treatment of linear algebra, and contains many new and easier exercises. As in the first edition, an interesting historical introduction precedes each important new concept.

Developed from the author's successful two-volume Calculus text this book presents Linear Algebra without emphasis on abstraction or formalization. To accommodate a variety of backgrounds, the text begins with a review of prerequisites divided into precalculus and calculus prerequisites. It continues to cover vector algebra, analytic geometry, linear spaces, determinants, linear differential equations and more.

A First Course with Applications to Differential Equations

Linear Algebra

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 eta function. It covers many topics, such as Hecke’s theory of entire forms with multiplicative Fourier coefficients, and the last chapter recounts Bohr’s theory of equivalence of general Dirichlet series.

Modular Functions and Dirichlet Series in Number Theory

David L. Goodstein

Richard P. Olenick

This 1987 book studies electricity and magnetism, light, the special theory of relativity and modern physics.

From Electricity to Modern Physics

Beyond the Mechanical Universe

Mathematical Analysis

Dave A. Campbell

T. Scott Dukes

Robert J. Sirko

Trigonometry Primer and Student Study Notes

The Mechanical Universe

Cálculo: Cálculo com funções de várias variáveis e Álgebra linear, com aplicações ás equações diferenciais e ás probabilidades

Steven C. Frautschi

This innovative physics textbook develops classical mechanics from a historical perspective while introducing new concepts.

Mechanics and Heat, Advanced Edition

This book studies electricity and magnetism, light, the special theory of relativity, and modern physics.

Tom M. Apostol

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