Title
Differential Equations and the Calculus of Variations,Used
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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: How many pages are in the book? A: This book contains four hundred forty-four pages. It provides a comprehensive overview of differential equations and the calculus of variations.
- Q: What is the binding type of this book? A: The book is paperback bound. This makes it lightweight and easy to handle for study and reference.
- Q: What are the dimensions of the book? A: The book measures five point six inches in length, one point fourteen inches in width, and eight point fifty-six inches in height. These dimensions make it portable for readers.
- Q: What topics does this book cover? A: This book covers differential equations and the calculus of variations. It includes theories, methods, and numerous examples relevant to mathematics and physics.
- Q: Who is the author of this book? A: The author of this book is Lev Elsgolts. He was a prominent mathematician known for his work in differential equations and variational calculus.
- Q: Is this book suitable for beginners? A: Yes, this book is suitable for students of higher schools. It includes foundational theories and methods that can benefit both beginners and those looking to deepen their understanding.
- Q: Can this book help with practical applications of mathematics? A: Yes, it provides numerous examples and problems with solutions that apply mathematics to physics and mechanics. This practical approach enhances learning.
- Q: How is the content structured in the book? A: The content is divided into two main parts: one on differential equations and another on the calculus of variations. This structure aids in systematic learning.
- Q: Is this book recommended for expert mathematicians? A: Yes, apart from students, the book is of interest to expert mathematicians. It discusses advanced topics and methods in mathematics.
- Q: What is the main purpose of this textbook? A: The main purpose of this textbook is to educate students on differential equations and the calculus of variations. It serves as a solid foundation for further studies.
- Q: How should I care for this book? A: To keep the book in good condition, store it in a cool, dry place and avoid exposure to moisture. Handle it carefully to prevent wear and tear.
- Q: Is there a return policy for this book? A: Yes, there is a return policy in place. If the book arrives damaged or doesn't meet your expectations, you can initiate a return within the specified period.
- Q: What if I have trouble understanding the material? A: If you have trouble understanding the material, consider seeking additional resources or tutoring. Many students benefit from collaborative study groups.
- Q: Are there solutions provided for the problems in the book? A: Yes, the book contains solutions for numerous problems. This feature helps students verify their understanding and apply concepts effectively.
- Q: Is this book available in other formats? A: Currently, the book is available only in paperback format. There may not be digital or hardcover editions available at this time.
- Q: What makes this book unique compared to other math textbooks? A: This book is unique due to its focus on the calculus of variations in addition to differential equations, and it includes extensive examples and problems from physics and mechanics.