Articles liés à Mathematics for Natural Scientists: Advanced Methods

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9783031463198: Mathematics for Natural Scientists: Advanced Methods

Synopsis

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, linearsystems 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.


Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

À propos de l?auteur

Prof. Kantorovich is a member of the Physics Faculty at King's College London. He has published three books and over 230 peer-reviewed papers. Prof. Kantorovich has taught mathematical methods in physics at King's College for more than 20 years, receiving two Excellence in Teaching Awards. He is a recipient of the Institute of Physics David Tabor Medal and Prize for 2023.


Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

  • ÉditeurSpringer International Publishing AG
  • Date d'édition2024
  • ISBN 10 3031463196
  • ISBN 13 9783031463198
  • ReliureBroché
  • Langueanglais
  • Numéro d'édition2
  • Nombre de pages922
  • Coordonnées du fabricantnon disponible

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Kartoniert / Broschiert. Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. 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. N° de réf. du vendeur 1106327770

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Taschenbuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - 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 inabstractmath. This book uses examples and proofs designed to be clear and convincing from the context of physics, as well as providinga large number ofboth solved and unsolved problems in each chapter. This is the second edition, and it has beensignificantlyrevised 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,linearsystemsof differentialequations, Gaussian elimination, fundamental theorem of algebra,convergence of a Fourie series andGibbs-Wilbraham phenomenon, carefulderivation ofthe Fourier integraland of the inverse Laplace transform. New material has been addedon many physics topics meant to illustrate the maths,suchas 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. N° de réf. du vendeur 9783031463198

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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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 inabstractmath. This book uses examples and proofs designed to be clear and convincing from the context of physics, as well as providinga large number ofboth solved and unsolved problems in each chapter. This is the second edition, and it has beensignificantlyrevised 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,linearsystemsof differentialequations, Gaussian elimination, fundamental theorem of algebra,convergence of a Fourie series andGibbs-Wilbraham phenomenon, carefulderivation ofthe Fourier integraland of the inverse Laplace transform. New material has been addedon many physics topics meant to illustrate the maths,suchas 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. 952 pp. Englisch. N° de réf. du vendeur 9783031463198

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Taschenbuch. Etat : Neu. Neuware -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, linearsystems 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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 952 pp. Englisch. N° de réf. du vendeur 9783031463198

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