東華大學圖書館 |

Language: English

Help

回圖書館首頁

手機版館藏查詢

Back

Switch To: Labeled | MARC Mode | ISBD

Linked to FindBook

Google Book

Amazon

博客來

Mathematics for natural scientists. = advanced methods /. II

Record Type:	Electronic resources : Monograph/item
Title/Author:	Mathematics for natural scientists./ by Lev Kantorovich.
Reminder of title:	advanced methods /
Author:	Kantorovich, Lev.
Published:	Cham :Springer International Publishing : : 2024.,
Description:	xxvii, 922 p. :ill. (some col.), digital ;24 cm.
[NT 15003449]:	Elements of linear algebra -- Complex numbers and functions -- Fourier series -- Special Functions -- Fourier Transform -- Laplace Transform -- Curvilinear coordinates -- Partial differential equations of mathematical physics -- Calculus of variations.
Contained By:	Springer Nature eBook
Subject:	Mathematical physics. -
Online resource:	https://doi.org/10.1007/978-3-031-46320-4
ISBN:	9783031463204

Mathematics for natural scientists. = advanced methods /. II
Kantorovich, Lev.

Mathematics for natural scientists.advanced methods /II[electronic resource] :by Lev Kantorovich. - Second edition. - Cham :Springer International Publishing :2024. - xxvii, 922 p. :ill. (some col.), digital ;24 cm. - Undergraduate lecture notes in physics,2192-4805. - Undergraduate lecture notes in physics..

Elements of linear algebra -- Complex numbers and functions -- Fourier series -- Special Functions -- Fourier Transform -- Laplace Transform -- Curvilinear coordinates -- Partial differential equations of mathematical physics -- Calculus of variations.

This textbook, the second in a series (the first covered fundamentals and basics), seeks to make its material accessible to physics students. Physics/engineering can be greatly enhanced by knowledge of advanced mathematical techniques, but the math-specific jargon and laborious proofs can be off-putting to students not well versed in abstract math. This book uses examples and proofs designed to be clear and convincing from the context of physics, as well as providing a large number of both solved and unsolved problems in each chapter. This is the second edition, and it has been significantly revised and enlarged, with Chapters 1 (on linear algebra) and 2 (on the calculus of complex numbers and functions) having been particularly expanded. The enhanced topics throughout the book include: vector spaces, general (non-Hermitian, including normal and defective) matrices and their right/left eigenvectors/values, Jordan form, pseudoinverse, linear systems of differential equations, Gaussian elimination, fundamental theorem of algebra, convergence of a Fourie series and Gibbs-Wilbraham phenomenon, careful derivation of the Fourier integral and of the inverse Laplace transform. New material has been added on many physics topics meant to illustrate the maths, such as 3D rotation, properties of the free electron gas, van Hove singularities, and methods for both solving PDEs with a Fourier transform and calculating the width of a domain wall in a ferromagnet, to mention just a few. This textbook should prove invaluable to all of those with an interest in physics/engineering who have previously experienced difficulty processing the math involved.

ISBN: 9783031463204

Standard No.: 10.1007/978-3-031-46320-4doiSubjects--Topical Terms:

516853
Mathematical physics.

LC Class. No.: QC20

Dewey Class. No.: 530.15

Mathematics for natural scientists. = advanced methods /. II
LDR:02992nmm a22003495a 4500 001 2370779
003 DE-He213
005 20240323111520.0
006 m d
007 cr nn 008maaau
008 241127s2024 sz s 0 eng d
020 $a 9783031463204 $q (electronic bk.)
020 $a 9783031463198 $q (paper)
024 7 $a 10.1007/978-3-031-46320-4 $2 doi
035 $a 978-3-031-46320-4
040 $a GP $c GP
041 0 $a eng
050 4 $a QC20
072 7 $a PHU $2 bicssc
072 7 $a SCI040000 $2 bisacsh
072 7 $a PHU $2 thema
082 0 4 $a 530.15 $2 23
090 $a QC20 $b .K16 2024
100 1 $a Kantorovich, Lev. $3 2180483
245 1 0 $a Mathematics for natural scientists. $n II $h [electronic resource] : $b advanced methods / $c by Lev Kantorovich.
250 $a Second edition.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2024.
300 $a xxvii, 922 p. : $b ill. (some col.), digital ; $c 24 cm.
490 1 $a Undergraduate lecture notes in physics, $x 2192-4805
505 0 $a Elements of linear algebra -- Complex numbers and functions -- Fourier series -- Special Functions -- Fourier Transform -- Laplace Transform -- Curvilinear coordinates -- Partial differential equations of mathematical physics -- Calculus of variations.
520 $a This textbook, the second in a series (the first covered fundamentals and basics), seeks to make its material accessible to physics students. Physics/engineering can be greatly enhanced by knowledge of advanced mathematical techniques, but the math-specific jargon and laborious proofs can be off-putting to students not well versed in abstract math. This book uses examples and proofs designed to be clear and convincing from the context of physics, as well as providing a large number of both solved and unsolved problems in each chapter. This is the second edition, and it has been significantly revised and enlarged, with Chapters 1 (on linear algebra) and 2 (on the calculus of complex numbers and functions) having been particularly expanded. The enhanced topics throughout the book include: vector spaces, general (non-Hermitian, including normal and defective) matrices and their right/left eigenvectors/values, Jordan form, pseudoinverse, linear systems of differential equations, Gaussian elimination, fundamental theorem of algebra, convergence of a Fourie series and Gibbs-Wilbraham phenomenon, careful derivation of the Fourier integral and of the inverse Laplace transform. New material has been added on many physics topics meant to illustrate the maths, such as 3D rotation, properties of the free electron gas, van Hove singularities, and methods for both solving PDEs with a Fourier transform and calculating the width of a domain wall in a ferromagnet, to mention just a few. This textbook should prove invaluable to all of those with an interest in physics/engineering who have previously experienced difficulty processing the math involved.
650 0 $a Mathematical physics. $3 516853
650 0 $a Physics. $3 516296
650 0 $a Chemometrics. $3 813967
650 0 $a Mathematics. $3 515831
650 0 $a Engineering mathematics. $3 516847
650 1 4 $a Mathematical Methods in Physics. $3 890898
650 2 4 $a Mathematical and Computational Engineering Applications. $3 3592737
650 2 4 $a Mathematical Applications in Chemistry. $3 3596663
650 2 4 $a Mathematical Physics. $3 1542352
650 2 4 $a Theoretical, Mathematical and Computational Physics. $3 1066859
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
830 0 $a Undergraduate lecture notes in physics. $3 1566890
856 4 0 $u https://doi.org/10.1007/978-3-031-46320-4
950 $a Physics and Astronomy (SpringerNature-11651)