Overview
The book begins at the level of an undergraduate student assuming only basic knowledge of calculus in one variable. It rigorously treats topics such as multivariable differential calculus, Lebesgue integral, vector calculus and differential equations. After having built on 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 a mathematician today.
Full Product Details
Author: Igor Kriz ,
Aleš Pultr
Publisher: Birkhauser Verlag AG
Imprint: Birkhauser Verlag AG
Edition: 2013 ed.
Dimensions:
Width: 16.80cm
, Height: 3.00cm
, Length: 24.00cm
Weight: 8.806kg
ISBN: 9783034806350
ISBN 10: 3034806353
Pages: 510
Publication Date: 02 August 2013
Audience:
Professional and scholarly
,
Professional & Vocational
Format: Paperback
Publisher's Status: Active
Availability: Manufactured on demand
We will order this item for you from a manufactured on demand supplier.
Reviews
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)
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)
Author Information
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. Aleš 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.
