Mathematical societies are organizations that promote the study and advancement of mathematics. They provide a platform for mathematicians, educators, and students to collaborate, share research, and discuss new ideas. These societies often organize conferences, publish journals, and offer resources for teaching and learning mathematics. Many mathematical societies also focus on outreach and education, aiming to inspire interest in mathematics among the general public. They may host workshops, competitions, and events for students, helping to foster a love for mathematics and encourage future generations of mathematicians. Examples include the American Mathematical Society and the Mathematical Association of America.