Calculus, Volume 1

This book gives architects and designers a working knowledge of architectural acoustics. The control of sound is important not only in obvious places like concert halls, but also in offices where privacy is essential. In Architectural Acoustics, six experienced consultants present basic acoustical principles; specific materials, methods, and techniques for controlling sound in and around buildings; and some recent innovations in acoustical research.

Spis treści:
Historical Introduction.
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.
Continuous Functions.
Differential Calculus.
The Relation between Integration and Differentiation.
The Logarithm, the Exponential, and the Inverse Trigonometric Functions.
Polynomial Approximations to Functions.
Introduction to Differential Equations.
Complex Numbers.
Sequences, Infinite Series, Improper Integrals.
Sequences and Series of Functions.
Vector Algebra.
Applications of Vector Algebra to Analytic Geometry.
Calculus of Vector–Valued Functions.
Linear Spaces.
Linear Transformations and Matrices.
Exercises.
Answers to Exercises.
Index.