Igor Kriz, Ales Pultr

eBook, PDF

Introduction to Mathematical Analysis (eBook, PDF)

Beschreibung

The book begins at an undergraduate student level, assuming only basic knowledge of calculus in one variable. It rigorously treats topics such as multivariable differential calculus, the Lebesgue integral, vector calculus and differential equations. After having created a solid foundation of topology and linear algebra, the text later expands into more advanced topics such as complex analysis, differential forms, calculus of variations, differential geometry and even functional analysis. Overall, this text provides a unique and well-rounded introduction to the highly developed and multi-faceted subject of mathematical analysis as understood by mathematicians today.¿

Technische Details

• Geräte: PC
• ohne Kopierschutz
• Größe: 3.87MB

Autor

Igor Kriz studied in Prague, Czech Republic. He has lived in the United States since 1988 and been teaching at the University of Michigan since 1994. His main interests are geometry and algebraic topology. AleS Pultr studied in Prague and has been teaching at the Charles University since 1961. His main interests are point-free topology, category theory and combinatorics. Both authors have taught numerous courses of mathematical analysis.

Produktdetails

• Verlag: Springer Basel
• Seitenzahl: 510
• Erscheinungstermin: 25. Juli 2013
• Englisch
• ISBN-13: 9783034806367
• Artikelnr.: 44226501

Rezensionen

From the reviews:

"The book is intended as a second-year course of mathematical analysis for advanced undergraduate students. ... The volume is addressed to undergraduate students seriously interested in mathematics and is accessible to students before they start taking graduate classes. Researchers in pure and applied nonlinear analysis will find interesting material in this volume." (Teodora-Liliana Radulescu, zbMATH, Vol. 1279, 2014)

"The authors included in their book some topics from topology, calculus of real functions of one and several real variables ... elements of functional analysis, as well as some applications. ... the present well written book is a valuable addition to the existing ones on similar topics. It can be used by graduate students in mathematics and researchers in mathematics and other areas ... . The instructors can recommend the book as a supplementary material for their courses." (S. Cobzas, Studia Universitatis Babes-Bolyai, Math, Vol. 58 (4), 2013)