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woolfson michael m.; woolfson malcolm s. - mathematics for physics

Mathematics for Physics

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Dettagli

Genere:Libro
Lingua: Inglese
Pubblicazione: 11/2006





Trama

Content spans both first and second year.




Note Editore

Mathematics is the essential language of science. It enables us to describe abstract physical concepts, and to apply these concepts in practical ways. Yet mathematical skills and concepts are an aspect of physics that many students fear the most. Mathematics for Physics recognizes the challenges faced by students in equipping themselves with the maths skills necessary to gain a full understanding of physics. Working from basic yet fundamental principles, the book builds the students' confidence by leading them through the subject in a steady, progressive way. As its primary aim, Mathematics for Physics shows the relevance of mathematics to the study of physics. Its unique approach demonstrates the application of mathematical concepts alongside the development of the mathematical theory. This stimulating and motivating approach helps students to master the maths and see its application in the context of physics in one seamless learning experience. Mathematics is a subject mastered most readily through active learning. Mathematics for Physics features both print and online support, with many in-text exercises and end-of-chapter problems, and web-based computer programs, to both stimulate learning and build understanding. Mathematics for Physics is the perfect introduction to the essential mathematical concepts which all physics students should master. Online Resource Centre: For lecturers: Figures from the book available to download, to facilitate lecture preparation For students: 23 computer programs, coded in FORTRAN, C, and MATLAB, to enable students to investigate and solve a range of problems - from the behaviour of clusters of stars to the design of nuclear reactors - and hence make learning as effective and engaging as possible.




Sommario

1 - Useful formulae and relationships
2 - Dimensions and dimensional analysis
3 - Sequences and series
4 - Differentiation
5 - Integration
6 - Complex numbers
7 - Ordinary differential equations
8 - Matrices I and determinants
9 - Vector algebra
10 - Conic sections and orbits
11 - Partial differentiation
12 - Probability and statistics
13 - Coordinate systems and multiple integration
14 - Distributions I
15 - Hyperbolic functions
16 - Vector analysis
17 - Fourier analysis
18 - Introduction to digital signal processing
19 - Numerical methods for ordinary differential equations
20 - Applications of partial differential equations
21 - Quantum mechanic I: The Schrödinger wave equation and observations
22 - The Maxwell-Boltzmann distribution
23 - The Monte-Carlo method
24 - Matrices II
25 - Quantum mechanics II: Angular momentum and spin
26 - Sampling theory
27 - Straight-line relationships and the linear correlation coefficient
28 - Interpolation
29 - Quadrature
30 - Linear equations
31 - The numerical solution of equations
32 - Signals and noise
33 - Digital filters
34 - Introduction to estimation theory
35 - Linear programming and optimization
36 - Laplace transforms
37 - Networks
38 - Simulation with particles
39 - Chaos and physical calculations




Autore

Michael M. Woolfson is Emeritus Professor of Theoretical Physics, Department of Physics, University of York, UK. Dr Malcolm S. Woolfson is a Lecturer in Signal Processing, School of Electrical and Electronic Engineering, University of Nottingham, UK.










Altre Informazioni

ISBN:

9780199289295

Condizione: Nuovo
Dimensioni: 245 x 42.4 x 187 mm Ø 1535 gr
Formato: Brossura
Illustration Notes:360 black and white line drawings
Pagine Arabe: 806


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