A Guided Tour of Mathematical Methods for the Physical Sciences
Autor Roel Snieder, Kasper van Wijken Limba Engleză Paperback – 4 mar 2015
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Specificații
ISBN-13: 9781107641600
ISBN-10: 1107641608
Pagini: 579
Ilustrații: 153 b/w illus. 10 tables
Dimensiuni: 178 x 254 x 25 mm
Greutate: 1.18 kg
Ediția:Revizuită
Editura: Cambridge University Press
Colecția Cambridge University Press
Locul publicării:New York, United States
ISBN-10: 1107641608
Pagini: 579
Ilustrații: 153 b/w illus. 10 tables
Dimensiuni: 178 x 254 x 25 mm
Greutate: 1.18 kg
Ediția:Revizuită
Editura: Cambridge University Press
Colecția Cambridge University Press
Locul publicării:New York, United States
Cuprins
1. Introduction; 2. Dimensional analysis; 3. Power series; 4. Spherical and cylindrical coordinates; 5. Gradient; 6. Divergence of a vector field; 7. Curl of a vector field; 8. Theorem of Gauss; 9. Theorem of Stokes; 10. The Laplacian; 11. Scale analysis; 12. Linear algebra; 13. Dirac delta function; 14. Fourier analysis; 15. Analytic functions; 16. Complex integration; 17. Green's functions: principles; 18. Green's functions: examples; 19. Normal modes; 20. Potential-field theory; 21. Probability and statistics; 22. Inverse problems; 23. Perturbation theory; 24. Asymptotic evaluation of integrals; 25. Conservation laws; 26. Cartesian tensors; 27. Variational calculus; 28. Epilogue on power and knowledge.
Recenzii
'[This] is an excellent textbook for young people to acquire practical mathematical methods; furthermore, it is a wonderful guidebook for them to learn a mathematical thinking style. I highly recommend this splendid book to students and teachers in [the] sciences.' Haruo Sato, Tohoku University, Japan
'A delight of a book, original, and highly informative with many hidden gems. A must for the physical scientist. Using calculus to show why life is not possible in a five dimensional world was just one piece of magic.' Malcolm Sambridge, Australian National University
'Two bright minds [have] created a fantastic set of physical problems that opens the gates to the understanding of mathematical physics for undergraduate and graduate students alike. Solving these problems is not only instructive, but fun - almost addictive.' Jurgen Neuberg, University of Leeds
'Snieder and van Wijk have written a book that offers a refreshing alternate approach to the learning (and appreciation) of mathematical methods, in which the methods are introduced and illustrated by explicit problems in the physical sciences. For persons who genuinely like mathematics, and who want to strengthen their problem solving capabilities, but who nevertheless want to keep their focus on the physics, this book is highly recommended for self-study and leisure reading.' Allan D. Pierce, Boston University and the Acoustical Society of America
'The third edition builds on the strengths of the earlier editions and is insightful, accessible and enjoyable to read. Exercises are nicely woven into the fabric of the text to more fully engage the reader. Chapters on 'Probability and Statistics' and 'Inverse Problems' are important new additions.' Robert L. Nowack, Purdue University and the Journal of Geophysical Research: Solid Earth
'[A Guided Tour of] Mathematical Methods for the Physical Sciences introduces the tools required to describe and interpret the physical world. Using clear, instructive examples, Snieder and van Wijk demonstrate how to tackle complex problems step by step and how to develop an understanding of what equations really mean.' John Townend, Victoria University of Wellington, New Zealand
'This book makes learning difficult mathematics easier. Each concept is presented through a series of clear explanations and tractable problems, so students gain both the understanding, and the ability to use mathematics in any field. You can't ask for more from a maths book.' Andrew Curtis, University of Edinburgh
Review of previous edition: '… a splendid book … excellent.' International Journal of Numerical Modelling
Review of previous edition: 'The publisher says that this book is 'instructive, applied and fun'. I agree …' Times Higher Education Supplement
Review of previous edition: 'I can highly recommend this book to students and teachers in the physical sciences.' Astronomy and Geophysics
Review of previous edition: 'Guided by [this] textbook, learning mathematical methods can be fun … I highly recommend [it].' Eos, Transactions, American Geophysical Union
Review of previous edition: '[The] clear, simplistic approach is highly recommended for both students and teachers alike … highly informative, written with authority, fascinating to read.' Materials World
'The first and second editions of this gem of a volume were received with praise such as 'a delight of a book', 'a fantastic set of physical problems that opens the gate to the understanding of mathematical physics', and 'a refreshing alternative approach', among many others. It is difficult to find better words to describe the third edition … It is student-friendly not only in its clarity and elegance of style … The volume is both a finely honed learning tool and a good reference for most of the mathematics that a geophysicist might encounter in practice … In short, here is a book that no practicing geophysicist … should be without.' Sven Treitel, The Leading Edge
'A delight of a book, original, and highly informative with many hidden gems. A must for the physical scientist. Using calculus to show why life is not possible in a five dimensional world was just one piece of magic.' Malcolm Sambridge, Australian National University
'Two bright minds [have] created a fantastic set of physical problems that opens the gates to the understanding of mathematical physics for undergraduate and graduate students alike. Solving these problems is not only instructive, but fun - almost addictive.' Jurgen Neuberg, University of Leeds
'Snieder and van Wijk have written a book that offers a refreshing alternate approach to the learning (and appreciation) of mathematical methods, in which the methods are introduced and illustrated by explicit problems in the physical sciences. For persons who genuinely like mathematics, and who want to strengthen their problem solving capabilities, but who nevertheless want to keep their focus on the physics, this book is highly recommended for self-study and leisure reading.' Allan D. Pierce, Boston University and the Acoustical Society of America
'The third edition builds on the strengths of the earlier editions and is insightful, accessible and enjoyable to read. Exercises are nicely woven into the fabric of the text to more fully engage the reader. Chapters on 'Probability and Statistics' and 'Inverse Problems' are important new additions.' Robert L. Nowack, Purdue University and the Journal of Geophysical Research: Solid Earth
'[A Guided Tour of] Mathematical Methods for the Physical Sciences introduces the tools required to describe and interpret the physical world. Using clear, instructive examples, Snieder and van Wijk demonstrate how to tackle complex problems step by step and how to develop an understanding of what equations really mean.' John Townend, Victoria University of Wellington, New Zealand
'This book makes learning difficult mathematics easier. Each concept is presented through a series of clear explanations and tractable problems, so students gain both the understanding, and the ability to use mathematics in any field. You can't ask for more from a maths book.' Andrew Curtis, University of Edinburgh
Review of previous edition: '… a splendid book … excellent.' International Journal of Numerical Modelling
Review of previous edition: 'The publisher says that this book is 'instructive, applied and fun'. I agree …' Times Higher Education Supplement
Review of previous edition: 'I can highly recommend this book to students and teachers in the physical sciences.' Astronomy and Geophysics
Review of previous edition: 'Guided by [this] textbook, learning mathematical methods can be fun … I highly recommend [it].' Eos, Transactions, American Geophysical Union
Review of previous edition: '[The] clear, simplistic approach is highly recommended for both students and teachers alike … highly informative, written with authority, fascinating to read.' Materials World
'The first and second editions of this gem of a volume were received with praise such as 'a delight of a book', 'a fantastic set of physical problems that opens the gate to the understanding of mathematical physics', and 'a refreshing alternative approach', among many others. It is difficult to find better words to describe the third edition … It is student-friendly not only in its clarity and elegance of style … The volume is both a finely honed learning tool and a good reference for most of the mathematics that a geophysicist might encounter in practice … In short, here is a book that no practicing geophysicist … should be without.' Sven Treitel, The Leading Edge
Notă biografică
Descriere
This completely revised edition provides a comprehensive tour of the mathematical knowledge and techniques needed by students across the physical sciences.