國立虎尾科技大學 |

Language: English

Back

A first course in ordinary different...

Tumuluri, Suman Kumar.

A first course in ordinary differential equations /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	A first course in ordinary differential equations // Suman Kumar Tumuluri.
Author:	Tumuluri, Suman Kumar.
Published:	Boca Raton, FL :CRC Press, : c2021.,
Description:	xiii, 323 p. :ill. ; : 24 cm.;
Notes:	"A Chapman & Hall book"--Cover.
Subject:	Differential equations. -
ISBN:	0815359837

A first course in ordinary differential equations /
Tumuluri, Suman Kumar.

A first course in ordinary differential equations /Suman Kumar Tumuluri. - 1st ed. - Boca Raton, FL :CRC Press,c2021. - xiii, 323 p. :ill. ;24 cm.

"A Chapman & Hall book"--Cover.

Includes bibliographical references (p. 317-319) and index.

Provides a detailed introduction to the subject focusing on analytical methods to solve ODEs and theoretical Aspects of analyzing them when it is difficult/not possible to find their solutions explicitly. This two-fold treatment of the subject is quite handy not only for undergraduate students in mathematics but also for physicists, engineers who are interested in understanding how various methods to solve ODEs work. More than 300 end-of-chapter problems with varying difficulty are provided so that the reader can self examine their understanding of the topics covered in the text. Most of the definitions and results used from subjects like real analysis, linear algebra are stated clearly in the book. This enables the book to be accessible to physics and engineering students also. Sufficient number of worked out examples are presented to illustrate every new technique introduced in this book. Moreover, the author elucidates the importance of various hypotheses in the results by providing counter examples. Features Offers comprehensive coverage of all essential topics required for an introductory course in ODE. Emphasizes on both computation of solutions to ODEs as well as the theoretical concepts like well-posedness, comparison results, stability etc. Systematic presentation of insights of the nature of the solutions to linear/non-linear ODEs. Special attention on the study of asymptotic behavior of solutions to autonomous ODEs (both for scalar case and 22 systems). Sufficient number of examples are provided wherever a notion is introduced. Contains a rich collection of problems. This book serves as a text book for undergraduate students and a reference book for scientists and engineers. Broad coverage and clear presentation of the material indeed appeals to the readers. Dr. Suman K. Tumuluri has been working in University of Hyderabad, India, for 11 years and at present he is an associate professor. His research interests include applications of partial differential equations in population dynamics and fluid dynamics.

ISBN: 0815359837

Nat. Bib. No.: GBC105615bnbSubjects--Topical Terms:

527664
Differential equations.

LC Class. No.: QA372 / .T86 2021

Dewey Class. No.: 515/.352

A first course in ordinary differential equations /
LDR:02924cam a2200277 a 4500 001 1044283
005 20211208095759.0
008 211220s2021 flua b 001 0 eng d
015 $a GBC105615 $2 bnb
020 $a 0815359837
020 $a 9780815359838 : $c NT2796
020 $a 9781000356755 (epub)
020 $a 9781000356717 (ebk.)
020 $a 9781003153757 (ebk.)
035 $a (OCoLC)1197725363
035 $a on1197725363
040 $a YDX $b eng $c YDX $d UKMGB $d OCLCO $d OCLCF $d YDX $d VGM $d NFU
041 0 # $a eng
050 # 4 $a QA372 $b .T86 2021
082 0 4 $a 515/.352 $2 23
100 1 $a Tumuluri, Suman Kumar. $3 1345922
245 1 2 $a A first course in ordinary differential equations / $c Suman Kumar Tumuluri.
250 $a 1st ed.
260 # $a Boca Raton, FL : $b CRC Press, $c c2021.
300 $a xiii, 323 p. : $b ill. ; $c 24 cm.
500 $a "A Chapman & Hall book"--Cover.
504 $a Includes bibliographical references (p. 317-319) and index.
520 # $a Provides a detailed introduction to the subject focusing on analytical methods to solve ODEs and theoretical Aspects of analyzing them when it is difficult/not possible to find their solutions explicitly. This two-fold treatment of the subject is quite handy not only for undergraduate students in mathematics but also for physicists, engineers who are interested in understanding how various methods to solve ODEs work. More than 300 end-of-chapter problems with varying difficulty are provided so that the reader can self examine their understanding of the topics covered in the text. Most of the definitions and results used from subjects like real analysis, linear algebra are stated clearly in the book. This enables the book to be accessible to physics and engineering students also. Sufficient number of worked out examples are presented to illustrate every new technique introduced in this book. Moreover, the author elucidates the importance of various hypotheses in the results by providing counter examples. Features Offers comprehensive coverage of all essential topics required for an introductory course in ODE. Emphasizes on both computation of solutions to ODEs as well as the theoretical concepts like well-posedness, comparison results, stability etc. Systematic presentation of insights of the nature of the solutions to linear/non-linear ODEs. Special attention on the study of asymptotic behavior of solutions to autonomous ODEs (both for scalar case and 22 systems). Sufficient number of examples are provided wherever a notion is introduced. Contains a rich collection of problems. This book serves as a text book for undergraduate students and a reference book for scientists and engineers. Broad coverage and clear presentation of the material indeed appeals to the readers. Dr. Suman K. Tumuluri has been working in University of Hyderabad, India, for 11 years and at present he is an associate professor. His research interests include applications of partial differential equations in population dynamics and fluid dynamics.
650 # 0 $a Differential equations. $3 527664