Perhaps you would like to know that modular forms have applications in physics, see e.g. https://arxiv.org/abs/2208.07242jqmhelios said:I'm studying physics at university, but there has always been one subject in pure maths which always interested me- that is modular forms.
Modular forms are complex-valued functions that satisfy certain transformation properties under modular transformations. They are important in number theory and have applications in various fields of mathematics and physics.
Modular forms are used in physics to study the behavior of physical systems with discrete symmetries, such as crystals and quasicrystals. They also have applications in string theory and conformal field theory.
This textbook is designed for university physics students, so it assumes a strong background in mathematics and physics. However, it is written in a clear and accessible manner with many examples and exercises to aid understanding.
A basic understanding of complex analysis and linear algebra is necessary for studying modular forms. Some familiarity with abstract algebra and group theory may also be helpful.
Yes, this textbook can be used for self-study as it is self-contained and includes many examples and exercises for practice. However, it is recommended to have a solid understanding of the prerequisites before starting self-study.