"Calculus Basic Concepts for High Schools" by L. V. Tarasov, published in 1982, is a comprehensive guide to the fundamental principles of calculus aimed at high school students.
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The book is structured in a series of dialogues, providing an engaging and accessible approach to learning calculus.
The preface sets the stage for the discussions to come, highlighting the importance of understanding calculus in the context of high school education.
The dialogues cover a range of topics, starting with infinite numerical sequences and progressing to more advanced concepts such as limits, functions, derivatives, integrals, and differential equations.
Each dialogue delves into a specific concept, building upon the previous discussions to deepen the reader's understanding of calculus.
The book explains the concept of limits and convergent sequences, introducing the idea of functions and exploring their limits. The concept of velocity is discussed in relation to derivatives, with a focus on differentiation and antiderivatives.
The book also covers integral calculus, providing a thorough explanation of differential equations and their applications.
The problems section at the end of the book offers opportunities for students to test their understanding and apply the concepts they have learned.
Overall, "Calculus Basic Concepts for High Schools" is a valuable resource for high school students looking to develop a solid foundation in calculus.
The dialogues provide a clear and engaging explanation of complex mathematical concepts, making calculus more accessible and understandable for students at the high school level.
