國立虎尾科技大學 |

Introduction to the Foundations of Applied Mathematics

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Introduction to the Foundations of Applied Mathematics/ by Mark H. Holmes.
作者:	Holmes, Mark H.
面頁冊數:	XVI, 528 p. 190 illus., 120 illus. in color.online resource. :
Contained By:	Springer Nature eBook
標題:	Mathematical models. -
電子資源:	https://doi.org/10.1007/978-3-030-24261-9
ISBN:	9783030242619

Introduction to the Foundations of Applied Mathematics
Holmes, Mark H.

Introduction to the Foundations of Applied Mathematics[electronic resource] /by Mark H. Holmes. - 2nd ed. 2019. - XVI, 528 p. 190 illus., 120 illus. in color.online resource. - Texts in Applied Mathematics,560939-2475 ;. - Texts in Applied Mathematics,59.

Dimensional Analysis -- Perturbation Methods -- Kinetics -- Diffusion -- Traffic Flow -- Continuum Mechanics: One Spatial Dimension -- Elastic and Viscoelastic Materials -- Continuum Mechanics: Three Spatial Dimensions -- Newtonian Fluids -- Appendices.

The objective of this textbook is the construction, analysis, and interpretation of mathematical models to help us understand the world we live in. Rather than follow a case study approach it develops the mathematical and physical ideas that are fundamental in understanding contemporary problems in science and engineering. Science evolves, and this means that the problems of current interest continually change. What does not change as quickly is the approach used to derive the relevant mathematical models, and the methods used to analyze the models. Consequently, this book is written in such a way as to establish the mathematical ideas underlying model development independently of a specific application. This does not mean applications are not considered, they are, and connections with experiment are a staple of this book. The book, as well as the individual chapters, is written in such a way that the material becomes more sophisticated as you progress. This provides some flexibility in how the book is used, allowing consideration for the breadth and depth of the material covered. Moreover, there are a wide spectrum of exercises and detailed illustrations that significantly enrich the material. Students and researchers interested in mathematical modelling in mathematics, physics, engineering and the applied sciences will find this text useful. The material, and topics, have been updated to include recent developments in mathematical modeling. The exercises have also been expanded to include these changes, as well as enhance those from the first edition. Review of first edition: "The goal of this book is to introduce the mathematical tools needed for analyzing and deriving mathematical models. … Holmes is able to integrate the theory with application in a very nice way providing an excellent book on applied mathematics. … One of the best features of the book is the abundant number of exercises found at the end of each chapter. … I think this is a great book, and I recommend it for scholarly purposes by students, teachers, and researchers." Joe Latulippe, The Mathematical Association of America, December, 2009.

ISBN: 9783030242619

Standard No.: 10.1007/978-3-030-24261-9doiSubjects--Topical Terms:

527886
Mathematical models.

LC Class. No.: TA342-343

Dewey Class. No.: 003.3

Introduction to the Foundations of Applied Mathematics
LDR:03861nam a22004215i 4500 001 1015598
003 DE-He213
005 20200704111601.0
007 cr nn 008mamaa
008 210106s2019 gw | s |||| 0|eng d
020 $a 9783030242619 $9 978-3-030-24261-9
024 7 $a 10.1007/978-3-030-24261-9 $2 doi
035 $a 978-3-030-24261-9
050 4 $a TA342-343
072 7 $a PBWH $2 bicssc
072 7 $a MAT003000 $2 bisacsh
072 7 $a PBWH $2 thema
072 7 $a TBJ $2 thema
082 0 4 $a 003.3 $2 23
100 1 $a Holmes, Mark H. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1073775
245 1 0 $a Introduction to the Foundations of Applied Mathematics $h [electronic resource] / $c by Mark H. Holmes.
250 $a 2nd ed. 2019.
264 1 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2019.
300 $a XVI, 528 p. 190 illus., 120 illus. in color. $b online resource.
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
490 1 $a Texts in Applied Mathematics, $x 0939-2475 ; $v 56
505 0 $a Dimensional Analysis -- Perturbation Methods -- Kinetics -- Diffusion -- Traffic Flow -- Continuum Mechanics: One Spatial Dimension -- Elastic and Viscoelastic Materials -- Continuum Mechanics: Three Spatial Dimensions -- Newtonian Fluids -- Appendices.
520 $a The objective of this textbook is the construction, analysis, and interpretation of mathematical models to help us understand the world we live in. Rather than follow a case study approach it develops the mathematical and physical ideas that are fundamental in understanding contemporary problems in science and engineering. Science evolves, and this means that the problems of current interest continually change. What does not change as quickly is the approach used to derive the relevant mathematical models, and the methods used to analyze the models. Consequently, this book is written in such a way as to establish the mathematical ideas underlying model development independently of a specific application. This does not mean applications are not considered, they are, and connections with experiment are a staple of this book. The book, as well as the individual chapters, is written in such a way that the material becomes more sophisticated as you progress. This provides some flexibility in how the book is used, allowing consideration for the breadth and depth of the material covered. Moreover, there are a wide spectrum of exercises and detailed illustrations that significantly enrich the material. Students and researchers interested in mathematical modelling in mathematics, physics, engineering and the applied sciences will find this text useful. The material, and topics, have been updated to include recent developments in mathematical modeling. The exercises have also been expanded to include these changes, as well as enhance those from the first edition. Review of first edition: "The goal of this book is to introduce the mathematical tools needed for analyzing and deriving mathematical models. … Holmes is able to integrate the theory with application in a very nice way providing an excellent book on applied mathematics. … One of the best features of the book is the abundant number of exercises found at the end of each chapter. … I think this is a great book, and I recommend it for scholarly purposes by students, teachers, and researchers." Joe Latulippe, The Mathematical Association of America, December, 2009.
650 0 $a Mathematical models. $3 527886
650 0 $a Mechanics. $3 527684
650 0 $a Physics. $3 564049
650 1 4 $a Mathematical Modeling and Industrial Mathematics. $3 669172
650 2 4 $a Classical Mechanics. $3 1140387
650 2 4 $a Mathematical Methods in Physics. $3 670749
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9783030242602
776 0 8 $i Printed edition: $z 9783030242626
776 0 8 $i Printed edition: $z 9783030242633
830 0 $a Texts in Applied Mathematics, $x 0939-2475 ; $v 59 $3 1254700
856 4 0 $u https://doi.org/10.1007/978-3-030-24261-9
912 $a ZDB-2-SMA
912 $a ZDB-2-SXMS
950 $a Mathematics and Statistics (SpringerNature-11649)
950 $a Mathematics and Statistics (R0) (SpringerNature-43713)