Piotr Mikusinski, Michael D. Taylor

eBook, PDF

An Introduction to Multivariable Analysis from Vector to Manifold (eBook, PDF)

Beschreibung

Multivariable analysis is of interest to pure and applied mathematicians, physicists, electrical, mechanical and systems engineers, mathematical economists, biologists, and statisticians. This book takes the student/researcher on a journey through the core topics of the subject. Systematic exposition, with numerous examples and exercises from the computational to the theoretical, makes difficult ideas as concrete as possible. Good bibliography and index. May be used as a classroom text or self-study resource. Prerequisites are a one-semester undergraduate course in advanced calculus or analysis, and linear algebra.

Technische Details

• Geräte: PC
• ohne Kopierschutz
• Größe: 21.04MB

Barrierefreiheit

• Text-to-Speech

Autor

Piotr Mikusinski received his Ph.D. in mathematics from the Institute of Mathematics of the Polish Academy of Sciences. In 1983, he became visiting lecturer at the University of California at Santa Barbara, where he spent two years. He is currently a member of the faculty in the Department of Mathematics at the University of Central Florida in Orlando. His main research interests are the theory of generalized functions and real analysis.

Produktdetails

• Verlag: Birkhäuser Boston
• Seitenzahl: 295
• Erscheinungstermin: 6. Dezember 2012
• Englisch
• ISBN-13: 9781461200734
• Artikelnr.: 44203487

Rezensionen

"This is a self-contained textbook devoted to multivariable analysis based on nonstandard geometrical methods. The book can be used either as a supplement to a course on single variable analysis or as a semester-long course introducing students to manifolds and differential forms." -Mathematical Reviews

"The authors strongly motivate the abstract notions by a lot of intuitive examples and pictures. The exercises at the end of each section range from computational to theoretical. The book is highly recommended for undergraduate or graduate courses in multivariable analysis for students in mathematics, physics, engineering, and economics." -Studia Universitatis Babes-Bolyai, Series Mathematica

"All this [the description on the book's back cover] is absolutely true, but omits any statement attesting to the high quality of the writing and the high level of mathematical scholarship. So, go and order a copy of this attractively produced, and nicely composed, scholarly tome. If you're not teaching this sort of mathematics, this book will inspire you to do so." -MAA Reviews