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41254574
Advanced Calculus of Several Variables (Dover Books on Mathematics)
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Item #:
41254574
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A modern conceptual approach to multivariable calculus, emphasizing the interplay of geometry and analysis via linear algebra and the approximation of nonlinear mappings by linear ones.
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What Stands Out
Comprehensive Coverage
This revised edition offers an in-depth exploration of advanced calculus topics, ensuring a thorough understanding necessary for tackling complex multivariable problems.
Accessible Learning
Written for both students and practitioners, the text simplifies intricate theories, making advanced calculus more approachable without sacrificing mathematical rigor.
Dover Quality
Published by Dover, known for high-quality mathematical texts, this book ensures durability and readability, making it a valuable resource for both classroom use and self-study.
Product Details
- High-level treatment of multivariable calculus
- Emphasizes the interplay of geometry and analysis via linear algebra
- Includes classical applications and computational methods
- Thorough exposition of multivariable differential and integral calculus
- Covers topics such as approximation methods, iterated integrals, and change of variable
- Includes many carefully chosen examples, problems, and figures
| Publisher | Dover Publications |
| Publication date | February 1, 1995 |
| Edition | Revised |
| Language | English |
| Print length | 478 pages |
| ISBN-10 | 0486683362 |
| ISBN-13 | 978-0486683362 |
| Item Weight | 1.31 pounds (590 grams) |
| Dimensions | 6.1 x 1 x 9.1 inches (15.5 x 2.5 x 23.1 cm) |
| Part of series | Dover Books on Mathematics |
Who Should Buy?
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Mathematics Students
Ideal for undergraduate and graduate students seeking a comprehensive understanding of advanced calculus concepts.
-
Researchers in Math
Beneficial for researchers requiring detailed knowledge of multivariable calculus and its applications in mathematics.
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Self-learners
Great resource for motivated learners looking to explore advanced calculus independently with thorough examples.
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Beginner Learners
Not suited for beginners due to its advanced level of mathematical rigor and complexity in explanations.
Product Description
Advanced Calculus of Several Variables (Dover Books on Mathematics)
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Customer Questions & Answers
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Question:
What topics are covered in the Advanced Calculus of Several Variables Dover Books on Mathematics Revised Edition?
Answer: The Advanced Calculus of Several Variables covers essential topics such as multivariable calculus, differential forms, integration theory in several dimensions, and the use of concepts like continuity and differentiability in higher dimensions. This comprehensive text delves into the mathematical foundations needed for further study in advanced mathematical analysis. The book addresses both theoretical aspects and practical applications, useful for students and professionals alike. -
Question:
Who is the author of Advanced Calculus of Several Variables?
Answer: The author of Advanced Calculus of Several Variables is C. H. Edwards, Jr. His expertise lies in mathematics, and his writing is accessible, making complex subjects easier for students to grasp. Edwards integrates practical examples that help illustrate key concepts, making the textbook an essential resource for anyone pursuing a deeper understanding of calculus in multiple dimensions. -
Question:
Is the Advanced Calculus of Several Variables suitable for beginners?
Answer: While Advanced Calculus of Several Variables is primarily aimed at students who have a solid foundation in single-variable calculus, it does provide content that is beneficial for motivated beginners as well. The revised edition includes guided examples and detailed explanations that ease the transition into more advanced topics. Students looking to expand from basic calculus will find the material challenging yet rewarding. -
Question:
What is the format of the Advanced Calculus of Several Variables?
Answer: The Advanced Calculus of Several Variables is offered in a paperback format as part of the Dover Books on Mathematics series. This format ensures durability for frequent use and easy handling for students. Each chapter is structured to facilitate either self-study or classroom use, complete with exercises designed to enhance comprehension and reinforce learning. -
Question:
Can I use the Advanced Calculus of Several Variables for self-study?
Answer: Absolutely! This textbook is well-suited for self-study, containing clear explanations, step-by-step examples, and a variety of exercises. Each section builds upon the previous, allowing learners to progress at their own pace. Self-learners can benefit from the structured content and additional resources provided within the book, encouraging a deeper exploration of multivariable calculus. -
Question:
How is the Advanced Calculus of Several Variables structured?
Answer: The book is structured into several distinct chapters, each focusing on specific themes within multivariable calculus. It begins with fundamental concepts before progressing to advanced topics like integration on manifolds and differential geometry. The logical organization makes it easy to navigate between topics, reinforcing learning by gradually increasing complexity and depth as the reader advances through the material. -
Question:
Does Advanced Calculus of Several Variables include exercises and solutions?
Answer: Yes, the Advanced Calculus of Several Variables includes numerous exercises at the end of each chapter designed to test comprehension and application of concepts discussed. Some editions may offer solutions or additional resources accessible online, enhancing the learning experience. These practical exercises are integral for mastering the material and preparing for exams, making this book ideal for academic success. -
Question:
What are the prerequisites for studying Advanced Calculus of Several Variables?
Answer: A solid understanding of single-variable calculus and basic linear algebra is essential before tackling Advanced Calculus of Several Variables. Familiarity with key concepts such as limits, derivatives, and integrals will facilitate a smoother transition to the more complex topics presented in this book. This foundational knowledge will enhance your ability to understand the advanced theories and applications described. -
Question:
Where can I buy Advanced Calculus of Several Variables Dover Books on Mathematics Revised Edition?
Answer: You can conveniently purchase the Advanced Calculus of Several Variables Dover Books on Mathematics Revised Edition from Ubuy in Guernsey. Ubuy offers a user-friendly shopping experience, ensuring that you get access to this essential text for learning advanced calculus.
Calculus Editorial Review
The Advanced Calculus of Several Variables Dover Books on Mathematics Revised Edition is a highly theoretical book that covers a vast amount of knowledge on each page. The author is clear and concise in his writing and the topics covered are easily identifiable. This book is challenging, and it is recommended to have a strong foundation in basic calculus before attempting to read it. The book is 100% self-contained, and the author delves into advanced topics such as Lagrange Multipliers, quadratic forms, and Taylor series. The book does have a few typos but they do not obscure the meaning of the text. The problems can be challenging but are also easy, and the author does not shy away from providing interesting applications. The book is useful for engineering/physics students and those interested in theoretical mathematics, such as math or physics students with a background in single-variable calculus.
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Pros
- Self-contained
- Covers advanced topics clearly and concisely
- Interesting applications
- Accessible exercises
Cons
- Not recommended if you do not have a strong foundation in basic calculus
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Features & Benefits
- High-level treatment of multivariable calculus
- Emphasizes the interplay of geometry and analysis
- Focuses on linear algebra and approximation of nonlinear mappings
- Includes classical applications and computational methods
- Thorough exposition of multivariable differential and integral calculus
- Hundreds of carefully chosen examples, problems, and figures
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