Title
Functions Of Several Real Variables
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This Book Begins With The Basics Of The Geometry And Topology Of Euclidean Space And Continues With The Main Topics In The Theory Of Functions Of Several Real Variables Including Limits, Continuity, Differentiation And Integration. All Topics And In Particular, Differentiation And Integration, Are Treated In Depth And With Mathematical Rigor. The Classical Theorems Of Differentiation And Integration Such As The Inverse And Implicit Function Theorems, Lagrange'S Multiplier Rule, Fubini'S Theorem, The Change Of Variables Formula, Green'S, Stokes' And Gauss' Theorems Are Proved In Detail And Many Of Them With Novel Proofs. The Authors Develop The Theory In A Logical Sequence Building One Result Upon The Other, Enriching The Development With Numerous Explanatory Remarks And Historical Footnotes. A Number Of Well Chosen Illustrative Examples And Counterexamples Clarify Matters And Teach The Reader How To Apply These Results And Solve Problems In Mathematics, The Other Sciences And Economics.Each Of The Chapters Concludes With Groups Of Exercises And Problems, Many Of Them With Detailed Solutions While Others With Hints Or Final Answers. More Advanced Topics, Such As Morse'S Lemma, Sard'S Theorem, The Weierstrass Approximation Theorem, The Fourier Transform, Vector Fields On Spheres, Brouwer'S Fixed Point Theorem, Whitney'S Embedding Theorem, Picard'S Theorem, And Hermite Polynomials Are Discussed In Stared Sections.
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- Q: How many pages does the book have? A: This book has seven hundred thirty-two pages. It's a comprehensive resource on the topics of functions of several real variables.
- Q: What is the binding type of this book? A: The book is available in paperback binding. This makes it lightweight and ideal for portability.
- Q: What are the dimensions of the book? A: The book measures six inches in length, one point sixty-five inches in width, and nine point zero two inches in height. These dimensions make it easy to handle.
- Q: What topics are covered in this book? A: The book covers the geometry and topology of Euclidean space, limits, continuity, differentiation, and integration. It includes detailed proofs of classical theorems.
- Q: Who is the author of this book? A: The author of the book is Martin Moskowitz. He is known for his expertise in the field of mathematics.
- Q: Is this book suitable for beginners? A: Yes, the book is suitable for those with a basic understanding of calculus. It progresses logically, making complex topics accessible.
- Q: Are there exercises included in the book? A: Yes, each chapter concludes with exercises and problems. Many of these come with detailed solutions or hints.
- Q: Can this book help with applied mathematics? A: Yes, it teaches how to apply results to solve problems in mathematics, science, and economics. It’s practical for various fields.
- Q: Is the book focused on theoretical or practical applications? A: The book focuses on both theoretical and practical applications of mathematics. It balances rigorous proofs with illustrative examples.
- Q: What advanced topics are discussed in the book? A: Advanced topics include Morse's lemma, Sard's theorem, and the Fourier transform. These are explored in starred sections for deeper understanding.
- Q: How can I best utilize the exercises in the book? A: To utilize the exercises effectively, work through them after reading each chapter. This reinforces understanding and application of the concepts.
- Q: What is the best way to care for this paperback book? A: To care for the paperback book, store it in a cool, dry place and avoid exposure to moisture. Handle it gently to maintain its condition.
- Q: Is the book safe for all readers? A: Yes, the book is safe for all readers. It focuses on mathematics and does not contain inappropriate content.
- Q: What if my book arrives damaged? A: If your book arrives damaged, you should contact the seller for a return or replacement. Most sellers offer support for damaged goods.
- Q: Does the book have a warranty? A: No, books typically do not come with a warranty. However, check with the seller regarding their return policy.