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Analysis and beyond :an introduction with examples and exercises /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Analysis and beyond :Shigeru Kanemitsu, Takako Kuzumaki, Jianya Liu.
Reminder of title:	an introduction with examples and exercises /
Author:	Kanemitsu, Shigeru,
other author:	Kuzumaki, Takako,
Published:	Singapore ;World Scientific Publishing Co. Pte. Ltd,c2021.
Description:	xiii, 313 p. :ill. ;24 cm.
Subject:	Calculus.
ISBN:	9789811224485 :

Analysis and beyond :an introduction with examples and exercises /
Kanemitsu, Shigeru,

Analysis and beyond :an introduction with examples and exercises /Shigeru Kanemitsu, Takako Kuzumaki, Jianya Liu. - Singapore ;World Scientific Publishing Co. Pte. Ltd,c2021. - xiii, 313 p. :ill. ;24 cm.

Includes bibliographical references and index.

Preliminaries -- Continuity of real numbers -- Limits and continuity -- Properties of continuous mappings -- Differentiation -- Properties of differentiable functions -- Extremal values, mean value theorems and Taylor expansions in one variable -- Extremal values, mean value theorems and Taylor expansion in several variables -- Algorithms -- Theory of Riemann -Stieltjes integration -- Theory of Riemann integration -- Limit values and summability -- ODE and FDE -- Vector analysis -- Theory of distributions -- Topological spaces.

"Our book tries to make both calculus and analysis accessible for all that are enthusiastic. Most books contain only exercises where readers are supposed to solve these by themselves, but in this volume, detailed solutions are provided as well. Various examples are also included. This book can be used for self-study, or a reference for a calculus class, amongst others"--

ISBN: 9789811224485 :NT$2365

LCCN: 2020044531Subjects--Topical Terms:

183091
Calculus.

LC Class. No.: QA300 / .K354 2021

Dewey Class. No.: 515

Analysis and beyond :an introduction with examples and exercises /
LDR:01780cam a2200253 a 450 001 635942
003 OCoLC
005 20230707044907.0
008 230717s2021 si a b 001 0 eng
010 $a 2020044531
020 $a 9789811224485 : $c NT$2365
020 $z 9789811224492 (ebook for institutions)
020 $z 9789811224508 (ebook for individuals)
035 $a (OCoLC)1190847602
035 $a on1190847602
040 $a LBSOR/DLC $b eng $c DLC $d OCLCF $d OCLCO $d UIU $d BDX $d YDX $d OCLCO
042 $a pcc
050 0 0 $a QA300 $b .K354 2021
082 0 0 $a 515 $2 23
100 1 $a Kanemitsu, Shigeru, $e author. $3 942190
245 1 0 $a Analysis and beyond : $b an introduction with examples and exercises / $c Shigeru Kanemitsu, Takako Kuzumaki, Jianya Liu.
260 $a Singapore ; $a Hackensack, NJ : $b World Scientific Publishing Co. Pte. Ltd, $c c2021.
300 $a xiii, 313 p. : $b ill. ; $c 24 cm.
504 $a Includes bibliographical references and index.
505 0 $a Preliminaries -- Continuity of real numbers -- Limits and continuity -- Properties of continuous mappings -- Differentiation -- Properties of differentiable functions -- Extremal values, mean value theorems and Taylor expansions in one variable -- Extremal values, mean value theorems and Taylor expansion in several variables -- Algorithms -- Theory of Riemann -Stieltjes integration -- Theory of Riemann integration -- Limit values and summability -- ODE and FDE -- Vector analysis -- Theory of distributions -- Topological spaces.
520 $a "Our book tries to make both calculus and analysis accessible for all that are enthusiastic. Most books contain only exercises where readers are supposed to solve these by themselves, but in this volume, detailed solutions are provided as well. Various examples are also included. This book can be used for self-study, or a reference for a calculus class, amongst others"-- $c Provided by publisher.
650 0 $a Calculus. $3 183091
650 0 $a Mathematical analysis. $3 186133
700 1 $a Kuzumaki, Takako, $d 1960- $e author. $3 942191
700 1 $a Liu, Jianya $c (Mathematics professor), $e author. $3 942192