About this product

Product Identifiers

PublisherSpringer New York

ISBN-100387773789

ISBN-139780387773780

eBay Product ID (ePID)72345015

Product Key Features

Number of PagesXx, 452 Pages

LanguageEnglish

Publication NameProblems in Real Analysis : Advanced Calculus on the Real Axis

SubjectDifferential Equations / General, Numerical Analysis, Mathematical Analysis

Publication Year2009

TypeTextbook

Subject AreaMathematics

AuthorVicentiu D. Radulescu, Teodora-Liliana Radulescu, Titu Andreescu

FormatTrade Paperback

Dimensions

Item Weight25.5 Oz

Item Length9.3 in

Item Width6.1 in

Additional Product Features

Intended AudienceScholarly & Professional

ReviewsFrom the reviews: "The book ... is a problem book in real analysis, chosen mostly from mathematical Olympiads and from problem journals. ... The book focuses on analysis on the real line, which is also known as advanced real calculus. ... the book under review is a collection of interesting and fresh problems with detailed solutions. The target audience seems to be students preparing for Olympiads and other competitions, but undergraduate students, mathematics teachers and professors of Mathematical Analysis and Calculus courses may also find interesting things here." (Mehdi Hassani, The Mathematical Association of America, August, 2009) "In this book, the authors intend 'to build a bridge between ordinary high-school or undergraduate exercises and more difficult and abstract concepts or problems' in mathematical analysis. ... The book may readily be used as a self-study text or ... as a classroom text. The introductory material in each section is reasonably self-contained and includes interesting examples and applications. ... the collection is a very worth-while contribution and should be included in every high school, college, and university mathematics library collection." (F. J. Papp, Zentralblatt MATH, Vol. 1209, 2011), and includes interesting examples and applications. ... the collection is a very worth-while contribution and should be included in every high school, college, and university mathematics library collection." (F. J. Papp, Zentralblatt MATH, Vol. 1209, 2011), From the reviews:"The book â€¦ is a problem book in real analysis, chosen mostly from mathematical Olympiads and from problem journals. â€¦ The book focuses on analysis on the real line, which is also known as advanced real calculus. â€¦ the book under review is a collection of interesting and fresh problems with detailed solutions. The target audience seems to be students preparing for Olympiads and other competitions, but undergraduate students, mathematics teachers and professors of Mathematical Analysis and Calculus courses may also find interesting things here." (Mehdi Hassani, The Mathematical Association of America, August, 2009)

Dewey Edition22

Number of Volumes1 vol.

IllustratedYes

Dewey Decimal515

Table Of ContentSequences, Series, and Limits.- Sequences.- Series.- Limits of Functions.- Qualitative Properties of Continuous and Differentiable Functions.- Continuity.- Differentiability.- Applications to Convex Functions and Optimization.- Convex Functions.- Inequalities and Extremum Problems.- Antiderivatives, Riemann Integrability, and Applications.- Antiderivatives.- Riemann Integrability.- Applications of the Integral Calculus.- Basic Elements of Set Theory.

SynopsisProblems in Real Analysis: Advanced Calculus on the Real Axis features a comprehensive collection of challenging problems in mathematical analysis that aim to promote creative, non-standard techniques for solving problems. This self-contained text offers a host of new mathematical tools and strategies which develop a connection between analysis and other mathematical disciplines, such as physics and engineering. A broad view of mathematics is presented throughout; the text is excellent for the classroom or self-study. It is intended for undergraduate and graduate students in mathematics, as well as for researchers engaged in the interplay between applied analysis, mathematical physics, and numerical analysis. Key features: *Uses competition-inspired problems as a platform for training typical inventive skills; *Develops basic valuable techniques for solving problems in mathematical analysis on the real axis and provides solid preparation for deeper study of real analysis; *Includes numerous examples and interesting, valuable historical accounts of ideas and methods in analysis; *Offers a systematic path to organizing a natural transition that bridges elementary problem-solving activity to independent exploration of new results and properties., This comprehensive collection of problems in mathematical analysis promotes creative, non-standard techniques to solve problems. It offers new tools and strategies to develop a connection between analysis and other disciplines such as physics and engineering., Problems in Real Analysis: Advanced Calculus on the Real Axis features a comprehensive collection of challenging problems in mathematical analysis that aim to promote creative, non-standard techniques for solving problems. This self-contained text offers a host of new mathematical tools and strategies which develop a connection between analysis and other mathematical disciplines, such as physics and engineering. A broad view of mathematics is presented throughout; the text is excellent for the classroom or self-study. It is intended for undergraduate and graduate students in mathematics, as well as for researchers engaged in the interplay between applied analysis, mathematical physics, and numerical analysis.

LC Classification NumberQA299.6-433