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Presenting basic results of topology, calculus of several variables, and approximation theory which are rarely treated in a single volume, this textbook includes several beautiful, but almost forgotten, classical theorems of Descartes, Erdős, Fejér, Stieltjes, and Turán.

The textbook offers a unique perspective on functional analysis by extending fundamental concepts from plane geometry to higher-dimensional spaces. This innovative approach facilitates the introduction of essential notions and theorems in the field. The author enhances understanding through numerous illustrations, making complex ideas more accessible and engaging for readers.