Multidimensional Real Analysis I Differentiation
Multidimensional Real Analysis I Differentiation by J. J. Duistermaat, published by Cambridge University Press on May 6, 2004, is a comprehensive exploration of differential analysis in multidimensional Euclidean space. This edition spans 798 pages and is presented in English, drawing from the author’s extensive teaching experience at Utrecht University to provide a thorough account of the subject. The book is designed to serve as a solid foundation for students preparing for more advanced studies in mathematics.
Readers will find that this work offers an original treatment of multidimensional real analysis, featuring carefully organized notation and rigorous proofs. The text includes numerous exercises that illustrate various applications in mathematics and physics, making it suitable for use as a course textbook, a source of problems for seminars, or for self-study. The focus on both theory and practical application ensures that the book addresses all aspects of the subject matter effectively.
Official synopsis Publisher
Part one of the authors’ comprehensive and innovative work on multidimensional real analysis. This book is based on extensive teaching experience at Utrecht University and gives a thorough account of differential analysis in multidimensional Euclidean space. It is an ideal preparation for students who wish to go on to more advanced study. The notation is carefully organized and all proofs are clean, complete and rigorous. The authors have taken care to pay proper attention to all aspects of the theory. In many respects this book presents an original treatment of the subject and it contains many results and exercises that cannot be found elsewhere. The numerous exercises illustrate a variety of applications in mathematics and physics. This combined with the exhaustive and transparent treatment of subject matter make the book ideal as either the text for a course, a source of problems for a seminar or for self study.
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