About the Book
G.N. Yakovlev is the author of "Algebra and Fundamentals of Analysis", published in English by MIR Publishers, Moscow. This textbook covers topics in algebra and the foundations of mathematical analysis.
Based on the available information, the book appears to be a comprehensive resource intended for students of mathematics. Reviews highlight its detailed explanations and clear presentation of complex mathematical concepts.
The textbook includes a wide range of topics, including real numbers, sequences and series, limits, continuity, differentiation, and integration. It's designed to provide a strong foundation in both algebra and analysis, emphasizing a logical, step-by-step approach to proofs and problem-solving.
The book is recognized for its helpful examples and numerous exercises, some of which are accompanied by solutions or hints. It's a valuable resource for those seeking a deeper understanding of mathematics, particularly for undergraduate students and those preparing for competitive examinations.
CONTENTS
Chapter 1. Computational Mathematics
Chapter 2. Fundamentals of the Theory of sets and Mathematical Logic
Chapter 3. Systems of Equations and Inequalities
Chapter 4. Functions. Sequences. Limits
Chapter 5.Elementary Functions
Chapter 6. Derivatives
Chapter 7. Applications of Derivatives
Chapter 8. Complex Numbers
Chapter 9. Indefinite Integrals
Chapter 10. Definite Integrals
Chapter 11. Applications of Definite Integrals
Chapter 12. Combinatorial Analysis and Binomial Formula
Chapter 13. Fundamentals of Theory of Probability
Chapter 14. Differential Equations
Chapter 15. Numerical and Power Series
Answers
Subject Index
Title | Algebra and Fundamentals of Analysis |
Author | G.N Yakovlev |
Publisher | Mir Publishers |
Year of Publication | 1981 |
Pages | 568 |
Binding | Hardcover |
Language | English |
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