[To main page]

## A book about waves

[Updates as of 2022-12-17: Better layout, improved grammar, and some corrections. Part two is now done.]

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 is 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 constantly improving the layout, grammar, and style of the book, so it is worth checking to see if you are reading the latest version. I want to 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

[Contact]

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 is 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 constantly improving the layout, grammar, and style of the book, so it is worth checking to see if you are reading the latest version. I want to 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

[Contact]