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Foundations Of Analysis: Second Edition (Dover Books On Mathematics),New
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This Introduction To Basic Analysis Presents A Careful Development Of The Real Number System And The Theory Of Calculus On The Real Line, Extending The Theory To Real And Complex Planes. Designed As A First Encounter With Rigorous, Formal Mathematics For Students With One Year Of Calculus, The Work Features Extended Discussions Of Key Ideas And Detailed Proofs Of Difficult Theorems.Authors David F. Belding And Kevin J. Mitchell Are Professors Of Math At Hobart And William Smith Colleges In Geneva, New York. Their Approach Emphasizes The Connections Between Ideas, Rather Than Rote, Computational Aspects Of Calculus. Their Twopart Treatment Begins With The Real Number System And Covers Functions, Limits, And Continuity, As Well As Differentiation And Integration And Aspects Of Sequences And Series. The Second Part Explores Calculus In Two Dimensions In Addition To Line Integrals And Green'S Theorem. The Text Concludes With A Concise Survey Of Complex Analysis.
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- Q: How many pages does the book have? A: This book has four hundred forty-eight pages. It provides an in-depth exploration of analysis suitable for students.
- Q: What is the binding type of the book? A: The book is paperback bound. This makes it lightweight and portable for easy reading.
- Q: What are the dimensions of the book? A: The book measures six point two inches in length, one point two inches in width, and nine point two one inches in height. These dimensions make it a standard size for textbooks.
- Q: Who is the author of the book? A: The book is authored by David F. Belding and Kevin J. Mitchell. Both are professors of mathematics with expertise in the subject.
- Q: What subjects does the book cover? A: The book covers basic analysis, including the real number system and calculus on the real line. It also discusses real and complex planes.
- Q: Is this book suitable for beginners? A: Yes, this book is designed for students with one year of calculus experience. It serves as an introduction to rigorous mathematics.
- Q: How do I use this book for studying? A: You can use this book as a primary textbook for learning analysis concepts. The detailed proofs and discussions enhance understanding.
- Q: Is this book appropriate for advanced mathematics students? A: Yes, advanced students can benefit from its detailed discussions and proofs. It provides a solid foundation for further studies.
- Q: What additional topics are included in the book? A: The book also explores calculus in two dimensions, line integrals, and Green's theorem, along with a survey of complex analysis.
- 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 direct sunlight. Handle it carefully to prevent damage.
- Q: What is the recommended cleaning method for the book? A: You can gently wipe the cover with a soft, damp cloth. Avoid using any harsh chemicals that could damage the material.
- Q: Does this book have any hazardous materials? A: No, this book does not contain any hazardous materials. It is safe for general use.
- Q: What should I do if the book arrives damaged? A: If the book arrives damaged, contact the seller for a replacement or refund. Ensure to provide evidence of the damage.
- Q: Is there a warranty for this book? A: Books typically do not come with a warranty. However, check with the seller for return policies.
- Q: Can I find this book in libraries? A: Yes, many academic libraries stock this book due to its relevance in mathematics education. Check your local library's catalog.
- Q: How does this book compare to other analysis textbooks? A: This book emphasizes connections between ideas rather than rote learning, making it unique among analysis textbooks. It is highly regarded for its clarity and thoroughness.