A Guided Tour of Mathematical Methods: For the Physical by Snieder R.

Posted by

By Snieder R.

Not like conventional textbooks for college kids and pros within the actual sciences, this e-book provides its fabric within the type of difficulties. the second one version includes new chapters on dimensional research, variational calculus, and the asymptotic assessment of integrals. The booklet can be utilized by way of undergraduates and lower-level graduate scholars. it may possibly function a stand-alone textual content, or as a resource of difficulties and examples to counterpoint different textbooks. First version Hb (2001): 0-521-78241-4 First variation Pb (2001): 0-521-78751-3

Show description

Read or Download A Guided Tour of Mathematical Methods: For the Physical Sciences, Edition: 2ed. PDF

Similar mathematical physics books

Mathematical Methods for Engineers and Scientists 1: Complex Analysis, Determinants and Matrices

The subjects of this set of student-oriented books are provided in a discursive kind that's readable and simple to persist with. various in actual fact acknowledged, thoroughly labored out examples including conscientiously chosen challenge units with solutions are used to augment scholars' realizing and manipulative ability.

Advanced Mathematical Methods in Science and Engineering, Second Edition

Classroom-tested, complex Mathematical tools in technological know-how and Engineering, moment version provides tools of utilized arithmetic which are fairly fitted to tackle actual difficulties in technological know-how and engineering. various examples illustrate a number of the tools of answer and solutions to the end-of-chapter difficulties are integrated in the back of the publication.

Noise-Induced Phenomena in Slow-Fast Dynamical Systems: A Sample-Paths Approach (Probability and Its Applications)

Stochastic Differential Equations became more and more vital in modelling advanced platforms in physics, chemistry, biology, climatology and different fields.  This ebook examines and offers structures for practitioners to exploit, and offers a few case experiences to teach how they could paintings in perform.

The Boltzmann Equation and Its Applications (Applied Mathematical Sciences)

Statistical mechanics will be obviously divided into branches, one facing equilibrium platforms, the opposite with nonequilibrium platforms. The equilibrium homes of macroscopic platforms are outlined in precept by means of compatible averages in well-defined Gibbs's ensembles. this offers a body­ paintings for either qualitative knowing and quantitative approximations to equilibrium behaviour.

Extra info for A Guided Tour of Mathematical Methods: For the Physical Sciences, Edition: 2ed.

Example text

And a perturbation δr in the position vector along a contour line. f f = const. r Fig. 3 Contour lines defined by the condition f = const. and a perturbation δr in the position vector in an arbitrary direction. perpendicular to the surface f = const. Now that we know this, the gradient can still point in two directions because one can move in two directions perpendicular to a surface. 3 where we consider a step δr in an arbitrary direction. 10) where θ is the angle between ∇ f and δr. The change δ f is largest when the vectors ∇ f and δr point in the same direction because in that case cos θ is equal to its maximum value of 1, that is when θ = 0.

Paradoxically, Berry and Klein [15] showed in their analysis of “transparent mirrors” that for the special case of a large stack of layers with random transmission coefficient the total transmission coefficient is the product of the transmission coefficients of the individual layers, despite the fact that multiple reflections play a crucial role in this process. 4 Spherical and cylindrical coordinates Many problems in mathematical physics exhibit a spherical or cylindrical symmetry. For example, the gravity field of the Earth is to first order spherically symmetric.

Note that the last two equations immediately give T and R once A and B are known. The first two equations give A and B. Problem b Show that TL , (1 − R L R R ) TL R R . 38) This is a puzzling result, the right-going wave A between the layers not only contains the transmission coefficient of the left layer TL but also an additional term 1/(1 − R L R R ). Problem c Make a series expansion of 1/(1 − R L R R ) in the quantity R L R R and show that this term accounts for the waves that bounce back and forth between the two stacks.

Download PDF sample

Rated 4.21 of 5 – based on 22 votes