A course in advanced calculus by Robert S. Borden

By Robert S. Borden

This wonderful undergraduate calculus textual content deals scholars an strange point of view on strategies of integration in Euclidean areas and their dating to different mathematical components. matters comprise units and constructions, restrict and continuity in En, degree and integration, differentiable mappings, sequences and sequence, functions of flawed integrals, and extra. Preface. difficulties. suggestions and suggestions for chosen Problems.

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3C. , 95, pp 2437-2440, 1994 Acoustic Interactions with Submerged Elastic Structures, Part III, pp. 31-54 edited by A. Guran, A. D e Hoop, D. Guicking and F. on and Control of Systems Series B/ Vo^. ) World Scientific Publishing Company M O D E L I N G O F S O U N D PROPAGATION O V E R A SHEAR-SUPPORTING SEDIMENT LAYER A N D SUBSTRATE J U A N I. , D C 20064 A series of model tank measurements carried out by Glegg et al. at Florida Atlantic University (FAU) has furnished data for range-independent and for downslope sound propagation over consolidated bottom sediments simulating the ocean floor.

I. L. CZegg and J. M. R^ey The acoustic field is then obtained as before by writing the field in the form (29) ^=Ax n'^y)' i J ^ — ^ ^ - n^^/)' i J -—^—^*; U=i J-^-=. ^y where the angle of incidence onto each surface is n o w taken as die angle from the source displaced by x,/-" rather than the actual source position. This leads to an expression for the acoustic field which is identical to (21) but with -V replaced by the magnitude of the reflection coefficient and the source images shifted by x/-')=(x/-",y/^,0).

AcoMjf. &)c. A m . 78, pp 1366-1374 (1985). 10. B. H. Tindle,"A three-dimensional analysis of acoustic propagation in a penetrable wedge slice," 7. AcoMr. 5oc. A m . 92, pp 1583-1592 (1992). 11. B. J. Buckingham, "An analysis of the three-dimensional sound field in a penetrable wedge with a stratified fiuid or elastic basement," 7. AcoM^f. 5oc. A m . 93, pp 13191327 (1993). 12. K. Westwood, "Complex ray methods for acoustic interaction at a fluid-fluid interface," 7. AcoMj/. 3oc. A m . 85, pp 1872-1884 (1989).

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