Non-proprietary integrals and series. Part 2. Numerical and functional series: Training manual

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Non-proprietary integrals and series . Part 2 . Numerical and Functional Series: A Manual by Soldatova M. A. , Round C. C. and Round E. In. is an indispensable learning resource for students, faculty, and anyone seeking to better understand the complex aspects of mathematical analysis This book continues the series devoted to the study of the most important tools of mathematical analysis, revealing to the reader the secrets of numerical and functional series, as well as non-proprietary integrals, which are the basis for solving many applied problems in science, technology and economics. What makes this manual special? First of all, it does not just repeat the theory, but immerses the reader in a lively atmosphere saturated with examples and practical tasks . The author's style, rich in clear explanations and logical connections, helps to understand even the most complex concepts. The book covers a wide range of topics - from the basics of definition and properties of series to the methods of their analysis, convergence criteria and the decomposition of functions into series. Particular attention is paid to numerical series, such as power series, Taylor and Fourier, as well as functional series, revealing their role in the approximation of functions and the solution of differential equations. The book is called Untitled Integrals and Rows .. Part 2" is intended for senior university students, graduate students and teachers, as well as for those who are preparing for exams in mathematical analysis. It is perfect for those who are interested in the theoretical aspects of mathematics, as well as practical methods of their application. Thanks to its clear structure and rich illustrative material, the book will become a reliable assistant in mastering complex topics and preparing for scientific research. The topics raised in this tutorial are important for understanding how mathematical methods are applied in real life. Issues of convergence and divergence of series, methods of their analysis, as well as practical approaches to the calculation of non-proprietary integrals . are considered. The author’s approach focuses on the development of analytical thinking, which is especially valuable for those who want not only to remember the formulas, but also to learn how to apply them in non-standard situations. The book examines in detail examples from various fields - physics, engineering, economics - which allows the reader to see the practical value of the material being studied. A special place is occupied by the analysis of methods of approximation of functions through series, which is key for solving complex mathematical problems. An important aspect is that the authors are not limited to theory, but actively use visual means and graphic illustrations, making the material more accessible and understandable. The writing style is clear and logical, which contributes to an easy perception of even the most complex concepts. If you are already familiar with the first parts of the series or are just starting to study mathematical analysis, this guide will become a valuable assistant for you. It will perfectly complement mathematics textbooks, training courses and self-study, helping to consolidate theoretical knowledge and prepare for practical tasks. For teachers, it can become the basis for the development of lecture materials and homework. In general, "Unowned integrals and series. Part 2" is not just a textbook, but a guide to the amazing world of numerical and functional series, revealing their secrets and possibilities. This book deserves the attention of those who appreciate a deep understanding of mathematics and strive for professional growth. Her style, rich in examples and practical recommendations, makes learning interesting and exciting, and the material is the most useful and applicable in real life. If you are looking for high-quality educational material on mathematical analysis, this book will become your reliable companion on the way to knowledge and success.
LF/686089363/R
Data sheet
- Name of the Author
- Круглов Е. В.
Круглова С. С.
Солдатов М. А. - Language
- Russian
- Release date
- 2014