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This chapter is about measuring the length around a shape and the space inside it. It explains π as the ratio C...

This chapter is about circles. It defines a circle, its chords, arcs and symmetries, and then proves twelve theorems about chords, the...

This chapter explains what an algebraic identity is and proves the main identities for squares and cubes using area and volume models....

This chapter tells the story of numbers, from counting with pebbles to zero, integers, rational numbers and irrational numbers. It explains Brahmagupta's...

This chapter starts with algebraic expressions and polynomials in one variable, and then focuses on linear polynomials of the form ax +...

This chapter shows how a system of coordinates lets us fix the exact position of any point using numbers. We learn the...

This chapter shows how Indian culture endured, grew richer and mixed with new currents in a turbulent age. It covers bhakti and...

This chapter explains how cities grow, what they offer, the challenges they face and how good planning makes them liveable. It uses...

This chapter explains demography: how births, deaths and migration change a population over time. It covers the stages of demographic transition, sex...