Title
Differential Equations and the Calculus of Variations,New
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Originally published in the Soviet Union, this text is meant for students of higher schools and deals with the most important sections of mathematics differential equations and the calculus of variations. The first part describes the theory of differential equations and reviews the methods for integrating these equations and investigating their solutions. The second part gives an idea of the calculus of variations and surveys the methods for solving variational problems. The book contains a large number of examples and problems with solutions involving applications of mathematics to physics and mechanics. Apart from its main purpose the textbook is of interest to expert mathematicians. Lev Elsgolts (deceased) was a Doctor of PhysicoMathematical Sciences, Professor at the Patrice Lumumba University of Friendship of Peoples. His research work was dedicated to the calculus of variations and differential equations. He worked out the theory of differential equations with deviating arguments and supplied methods for their solution. Lev Elsgolts was the author of many printed works. Among others, he wrote the wellknown books Qualitative Methods in Mathematical Analysis and Introduction to the Theory of Differential Equations with Deviating Arguments. In addition to his research work Lev Elsgolts taught at higher schools for over twenty years.
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- Q: What is the main focus of 'Differential Equations and the Calculus of Variations'? A: The book primarily focuses on differential equations and the calculus of variations, providing theoretical insights and practical methods for solving these mathematical concepts.
- Q: Who is the author of this textbook? A: The author is Lev Elsgolts, a notable mathematician who was a Doctor of Physico-Mathematical Sciences and a professor at Patrice Lumumba University.
- Q: What is the publication date of this book? A: The book was published on December 29, 2003.
- Q: How many pages does this book contain? A: The textbook contains a total of 444 pages.
- Q: Is this book suitable for beginners in mathematics? A: While the book covers fundamental concepts, it is better suited for students in higher education who have a foundational understanding of mathematics.
- Q: What kind of mathematical problems does the book include? A: The book includes a variety of examples and problems with solutions, particularly related to applications of mathematics in physics and mechanics.
- Q: What type of binding does this book have? A: This textbook is available in paperback binding.
- Q: Does the book cover applications of calculus of variations? A: Yes, the second part of the book specifically surveys methods for solving variational problems, showcasing the applications of calculus of variations.
- Q: Is prior knowledge of differential equations required to understand this book? A: A basic understanding of differential equations would be beneficial, as the book discusses both theory and methods for solving these equations.
- Q: What is the significance of Lev Elsgolts's work in mathematics? A: Lev Elsgolts made significant contributions to the fields of differential equations and the calculus of variations, authoring several important mathematical texts and teaching for over twenty years.