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Analytic Inequalities (Dover Books on Mathematics),Used
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Mathematical analysis is largely a systematic study and exploration of inequalities but for students the study of inequalities often remains a foreign country, difficult of access. This book is a passport to that country, offering a background on inequalities that will prepare undergraduates (and even high school students) to cope with the concepts of continuity, derivative, and integral.Beginning with explanations of the algebra of inequalities and conditional inequalities, the text introduces a pair of ancient theorems and their applications. Explorations of inequalities and calculus cover the number e, examples from the calculus, and approximations by polynomials. The final sections present modern theorems, including Bernstein's proof of the Weierstrass approximation theorem and the Cauchy, Bunyakovskii, Hlder, and Minkowski inequalities. Numerous figures, problems, and examples appear throughout the book, offering students an excellent foundation for further studies of calculus.
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- Q: What is the main focus of 'Analytic Inequalities'? A: The book primarily focuses on the systematic study and exploration of mathematical inequalities, providing foundational knowledge for understanding concepts like continuity, derivatives, and integrals.
- Q: Who is the author of this book? A: The author of 'Analytic Inequalities' is Nicholas D. Kazarinoff.
- Q: What type of mathematics does this book cover? A: This book covers functional analysis and various aspects of inequalities in mathematics, including algebra of inequalities and their applications in calculus.
- Q: Is this book suitable for beginners? A: Yes, the book is designed to be accessible for undergraduates and even high school students, making it suitable for beginners in mathematical analysis.
- Q: How many pages does the book have? A: The book contains 89 pages.
- Q: What is the binding type of this book? A: The book is available in paperback binding.
- Q: When was 'Analytic Inequalities' published? A: The book was published on October 15, 2014.
- Q: Does the book include exercises or problems for practice? A: Yes, the book features numerous figures, problems, and examples throughout to aid understanding and provide practice for students.
- Q: What are some key theorems discussed in the book? A: Key theorems discussed include ancient theorems as well as modern results such as Bernstein's proof of the Weierstrass approximation theorem and several important inequalities.
- Q: Can this book help with advanced mathematics topics? A: Yes, it provides a solid foundation in inequalities that can be beneficial for further studies in advanced topics of calculus and functional analysis.