Mathematics III/1–3 for Understanding and Practice

The third volume of a timeless textbook whose first two volumes have become a sought-after and popular resource for students and their teachers alike. Through the three volumes of the textbook, the student reader is introduced to university-level mathematics from the very first elementary steps (Volume 1) moving on to more challenging areas (Volume 2 - two books), and finally to the most difficult topics (Volume 3 - three books). The exposition is not presented in an encyclopaedic or subject-specific manner (algebra, calculus, differential equations, statistics); it is multi-layered, with various branches of mathematics gradually intertwining - methods and structures of analysis, algebra and geometry, as well as computational methods. The authors’ aim is for the reader to acquire the necessary knowledge and skills to understand and grasp mathematics as a whole, with the primary goal of seeing its various applications, learning to navigate them, and working with them actively. Through this multi-layered exposition and the wealth of examples, the authors gradually open up the breadth of mathematics to the reader and draw them into its depths, right up to entirely modern areas not yet found in textbooks. They guide the reader to the perhaps surprising realisation that mathematics is a language, a tool, but also an art…