Mathematics (Academic) Books

This book contains fundamentals of oscillations and waves and properties of electromagnetic waves. Basic principles of geometric optics, interference and diffraction, including Fourier methods.

This course is a short series of lectures on Introductory Statistics. Topics covered are listed in the Table of Contents. The notes were prepared by Ewa Paszek and Marek Kimmel. The development of this course has been supported by NSF 0203396 grant.

A textbook on comprehensive sensing which include topics on analog sampling theory, sparsity and compressibilty, compressive sensing, norm minimization, and the applications of compressive sensing.

Digital Signal Processing: A User's Guide is intended both for the practicing engineer with a basic knowledge of DSP and for a second course in signal processing at the senior or first-year postgraduate level. FFTs, digital filter design, adaptive filters, and multirate signal processing are...

This book covers calculus in two and three variables. It is suitable for a one-semester course, normally known as “Vector Calculus”, “Multivariable Calculus”, or simply “Calculus III”.

This book covers elementary trigonometry. It is suitable for a one-semester course at the college level, though it could also be used in high schools.

This module consists of three units: Unit 1: Descriptive Statistics and Probability Distributions Unit 2: Random variables and Test Distributions Unit 3: Probability Theory

We begin with function notation, a basic toolkit of functions, and the basic operation with functions: composition and transformation. Building from these basic functions, as each new family of functions is introduced we explore the important features of the function: its graph, domain and range...

Fundamentals of Mathematics is a work text that covers the traditional topics studied in a modern prealgebra course, as well as topics of estimation, elementary analytic geometry, and introductory algebra.

According to the introduction of Elementary Linear Algebra, “this is intended to be a first course in linear algebra for students who are sophomores or juniors who have had a course in one variable calculus and a reasonable background in college algebra.”