Title
Essential Calculus with Applications (Dover Books on Mathematics),New
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Calculus is an extremely powerful tool for solving a host of practical problems in fields as diverse as physics, biology, and economics, to mention just a few. In this rigorous but accessible text, a noted mathematician introduces undergraduatelevel students to the problemsolving techniques that make a working knowledge of calculus indispensable for any mathematician.The author first applies the necessary mathematical background, including sets, inequalities, absolute value, mathematical induction, and other 'precalculus' material. Chapter Two begins the actual study of differential calculus with a discussion of the key concept of function, and a thorough treatment of derivatives and limits. In Chapter Three differentiation is used as a tool; among the topics covered here are velocity, continuous and differentiable functions, the indefinite integral, local extrema, and concrete optimization problems. Chapter Four treats integral calculus, employing the standard definition of the Riemann integral, and deals with the mean value theorem for integrals, the main techniques of integration, and improper integrals. Chapter Five offers a brief introduction to differential equations and their applications, including problems of growth, decay, and motion. The final chapter is devoted to the differential calculus of functions of several variables.Numerous problems and answers, and a newly added section of 'Supplementary Hints and Answers,' enable the student to test his grasp of the material before going on. Concise and well written, this text is ideal as a primary text or as a refresher for anyone wishing to review the fundamentals of this crucial discipline.
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- Q: What topics are covered in 'Essential Calculus with Applications'? A: The book covers a range of topics in calculus including differential calculus, integral calculus, and an introduction to differential equations. It discusses key concepts like functions, derivatives, limits, optimization problems, and techniques of integration.
- Q: Who is the author of 'Essential Calculus with Applications'? A: The book is authored by Richard A. Silverman, a noted mathematician recognized for his contributions to mathematics education.
- Q: What is the condition of the book? A: The book is in new condition, ensuring that you receive a quality product.
- Q: How many pages does 'Essential Calculus with Applications' have? A: The book contains 320 pages, providing a comprehensive overview of calculus concepts.
- Q: What is the binding type of this book? A: The book is paperback bound, making it lightweight and easy to handle.
- Q: When was 'Essential Calculus with Applications' published? A: The book was published on August 1, 1989.
- Q: Is this book suitable for beginners? A: Yes, this book is designed to be rigorous yet accessible, making it suitable for undergraduate-level students and beginners in calculus.
- Q: Does the book include exercises for practice? A: Yes, the book features numerous problems and answers, along with a section of 'Supplementary Hints and Answers' for students to test their understanding of the material.
- Q: What makes this book different from other calculus textbooks? A: This book is known for its concise and well-written explanations, focusing on practical problem-solving techniques that are essential for understanding calculus.
- Q: Can this book be used as a refresher for those with prior calculus knowledge? A: Absolutely, it serves as an excellent refresher for anyone wishing to review the fundamentals of calculus.