Items related to Analysis in Euclidean Space (Dover Books on Mathematics)
Synopsis
Developed for an introductory course in mathematical analysis at MIT, this text focuses on concepts, principles, and methods. Its introductions to real and complex analysis are closely formulated, and they constitute a natural introduction to complex function theory.
Starting with an overview of the real number system, the text presents results for subsets and functions related to Euclidean space of n dimensions. It offers a rigorous review of the fundamentals of calculus, emphasizing power series expansions and introducing the theory of complex-analytic functions. Subsequent chapters cover sequences of functions, normed linear spaces, and the Lebesgue interval. They discuss most of the basic properties of integral and measure, including a brief look at orthogonal expansions. A chapter on differentiable mappings concludes the text, addressing implicit and inverse function theorems and the change of variable theorem. Exercises appear throughout the book, and extensive supplementary material includes a bibliography, list of symbols, index, and appendix with background in elementary set theory
Starting with an overview of the real number system, the text presents results for subsets and functions related to Euclidean space of n dimensions. It offers a rigorous review of the fundamentals of calculus, emphasizing power series expansions and introducing the theory of complex-analytic functions. Subsequent chapters cover sequences of functions, normed linear spaces, and the Lebesgue interval. They discuss most of the basic properties of integral and measure, including a brief look at orthogonal expansions. A chapter on differentiable mappings concludes the text, addressing implicit and inverse function theorems and the change of variable theorem. Exercises appear throughout the book, and extensive supplementary material includes a bibliography, list of symbols, index, and appendix with background in elementary set theory
"synopsis" may belong to another edition of this title.
- PublisherDover Publications
- Publication date2007
- ISBN 10 0486458040
- ISBN 13 9780486458045
- BindingPaperback
- LanguageEnglish
- Number of pages448
Other Popular Editions of the Same Title
Search results for Analysis in Euclidean Space (Dover Books on Mathematics)
Stock Image
Analysis in Euclidean Space (Dover Books on Mathematics)
Seller: HPB-Red, Dallas, TX, U.S.A.
Seller rating 5 out of 5 stars
paperback. Condition: Good. Connecting readers with great books since 1972! Used textbooks may not include companion materials such as access codes, etc. May have some wear or writing/highlighting. We ship orders daily and Customer Service is our top priority! Seller Inventory # S_424718229
Quantity: 1 available
Stock Image
Analysis in Euclidean Space (Dover Books on Mathematics)
Seller: Mount Angel Abbey Library, St. Benedict, OR, U.S.A.
Seller rating 5 out of 5 stars
Paperback. Condition: Good. There are some light stains on the page edges, and fraying of the cover edges, especially at the top and bottom of the spine. The pages are very clean. --- We are a Benedictine Monastery/Seminary Library; thank you for your support. Seller Inventory # 030086
Quantity: 1 available
Stock Image
Analysis in Euclidean Space (Dover Books on Mathematics)
Seller: The Book Spot, Sioux Falls, MN, U.S.A.
Seller rating 4 out of 5 stars
Paperback. Condition: New. Seller Inventory # Abebooks129919
Quantity: 1 available