[To main page]

A book about waves

I have written a book that teaches the basics of waves and signals. It is intended for people who never studied much maths at school or who find the subject difficult to understand. It starts at the very beginning with definitions of Sine and Cosine, and progresses from there. It would be useful for anyone who has bought a software defined radio and wants to learn enough to make the best use of it.

Download part 1: A_Book_About_Waves_Part_1_By_Tim_Warriner_2022_12_07.pdf
[64 MB PDF. Last edited on the 7th of December 2022.]

Download part 2: A_Book_About_Waves_Part_2_By_Tim_Warriner_2022_12_17.pdf
[24 MB PDF. Last edited on the 17th of December 2022.]

Generally, either maths books are intended for children, in which case, they are over-simplified and cover a very specific syllabus, or they are written for university maths students, in which case, they are written as if the reader were a mathematical genius. There are few books in between. My book is designed to teach anyone who wants to learn about waves, no matter what their ability. It goes into much more detail than most books. It is the book that I wish I had had when I first bought a software defined radio (and when I was at school). Although it is not intended to be a text book, it will help people struggling to learn maths academically.

I am constantly improving the layout, grammar, and style of the book, so it is worth checking to see if you are reading the latest version. One day I will add more chapters to the second part of the book, which is why the two parts are different sizes.

The contents of the first part are as follows:

Chapter 1: Triangles, circles, and sine and cosine
Chapter 2: More complicated aspects of triangles and circles
Chapter 3: Angle-based waves
Chapter 4: Time-based waves
Chapter 5: Amplitude
Chapter 6: Frequency
Chapter 7: Phase
Chapter 8: Mean levels
Chapter 9: Wave formulas
Chapter 10: Terminology
Chapter 11: More about frequency
Chapter 12: Creating a circle from a wave
Chapter 13: Addition with waves
Chapter 14: Addition with circles
Chapter 15: The frequency domain
Chapter 16: Multiplication with waves
Chapter 17: Multiplication with circles
Chapter 18: Fourier series analysis
Chapter 19: Corresponding waves and signals
Chapter 20: Aperiodic signals - signals that do not repeat
Chapter 21: Pi
Chapter 22: Radians and other angle systems
Chapter 23: Complex numbers
Chapter 24: Complex numbers and waves
Chapter 25: Powers of i
Chapter 26: An explanation of exponentials
Chapter 27: e
Chapter 28: Waves in terms of exponentials
Chapter 29: e and i in more depth
Chapter 30: An explanation of basic calculus

The contents of the second part are as follows:

Chapter 31: Real-world waves
Chapter 32: More real-world waves
Chapter 33: Sound waves
Chapter 34: Electromagnetic radiation
Chapter 35: Simple modulation (shift keying)
Chapter 36: Amplitude modulation
Chapter 37: Phase modulation
Chapter 38: Frequency modulation
Chapter 39: Discrete signals
Chapter 40: Binary and hexadecimal
Chapter 41: More on discrete signals
Chapter 42: Sampling
Chapter 43: Discrete Fourier series analysis