Title
Introduction to Analysis (Pure and Applied Undergraduate Texts) (Pure and Applied Undergraduate Texts, 1),New
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Introduction to Analysis is designed to bridge the gap between the intuitive calculus usually offered at the undergraduate level and the sophisticated analysis courses the student encounters at the graduate level. In this book the student is given the vocabulary and facts necessary for further study in analysis. The course for which it is designed is usually offered at the junior level, and it is assumed that the student has little or no previous experience with proofs in analysis. A considerable amount of time is spent motivating the theorems and proofs and developing the reader's intuition. Of course, that intuition must be tempered with the realization that rigorous proofs are required for theorems. The topics are quite standard: convergence of sequences, limits of functions, continuity, differentiation, the Riemann integral, infinite series, power series, and convergence of sequences of functions. Many examples are given to illustrate the theory, and exercises at the end of each chapter are keyed to each section. Also, at the end of each section, one finds several Projects. The purpose of a Project is to give the reader a substantial mathematical problem and the necessary guidance to solve that problem. A Project is distinguished from an exercise in that the solution of a Project is a multistep process requiring assistance for the beginner student.
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- Q: What is the main focus of 'Introduction to Analysis'? A: The main focus of 'Introduction to Analysis' is to bridge the gap between intuitive calculus and advanced analysis courses, providing students with the necessary vocabulary and foundational knowledge for further study in analysis.
- Q: Who is the author of this textbook? A: 'Introduction to Analysis' is authored by Edward D. Gaughan.
- Q: What topics are covered in this book? A: The book covers standard topics such as convergence of sequences, limits of functions, continuity, differentiation, the Riemann integral, infinite series, power series, and convergence of sequences of functions.
- Q: What is the condition of the book? A: The book is listed as 'New', indicating it has not been previously used.
- Q: How many pages does 'Introduction to Analysis' have? A: 'Introduction to Analysis' consists of 240 pages.
- Q: What edition is this book? A: This is the 5th Revised edition of 'Introduction to Analysis'.
- Q: Is this book suitable for beginners? A: Yes, the book is designed for students who have little or no prior experience with proofs in analysis, making it suitable for beginners.
- Q: Are there exercises included in the book? A: Yes, each chapter includes exercises that are keyed to the sections, allowing students to practice and apply the concepts learned.
- Q: What type of binding does this book have? A: 'Introduction to Analysis' is available in hardcover binding.
- Q: When was this book published? A: 'Introduction to Analysis' was published on January 13, 2009.