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This essay, an excerpt of the author's Ph.D. in Philosophy of mathematics (2012) thought of as being a companion to recent discoveries of new explicit Cartan geometry curvatures, analyzes how Gauss, after having devised the isometrically invariant character of curvature, struggled with elimination computations in order to transform the available extrinsic expression of curvature into a new beautifully general differential expression which depends only on second order derivatives of the coefficients E, F, G of the intrinsic metric. Systematic speculations about the essence of impersonal mathematical necessitation are steadily inserted.

In the framework of Clifford analysis, a chain of harmonic and monogenic potentials in the upper half of Euclidean space $\mR^{m+1}$ was recently constructed, including a higher dimensional analogue of the logarithmic function in the complex plane. In this construction the distributional limits of these potentials at the boundary $\mR^{m}$ are crucial. The remarkable relationship between these distributional boundary values and four basic pseudodifferential operators linked with the Dirac and Laplace operators is studied.

In the framework of Clifford analysis, a chain of harmonic and monogenic potentials in the upper half of Euclidean space $\mR^{m+1}$ was recently constructed, including a higher dimensional analogue of the logarithmic function in the complex plane. In this construction the distributional limits of these potentials at the boundary $\mR^{m}$ are crucial. The remarkable relationship between these distributional boundary values and four basic pseudodifferential operators linked with the Dirac and Laplace operators is studied.

This "how-to" book covers everything for the 1800's illusionist, from stage presence & dress, program and stage arrangement, to how to do tricks with cards, coins, watches, rings, handkerchiefs, dominoes and dice, cups and balls, hats, and other apparatus. "I have purposely limited my disclosures to such illusions as have been sufficiently long before the public to be fairly regarded as common property. Within this limit I have endeavored to make my explanations as complete as possible; but to go beyond it would be to infringe a moral copyright, and to deprive gentlemen to whom Modern Magic is especially indebted, of the well-earned fruits of their labor and invention." - Summary by TriciaG<br><br>Proof-Listeners: Joyful in MN, Billl Boerst

2From Makin to Bougainville: Marine Raiders in the Pacific War

By Jon T. Hoffman

In February 1942, Lieutenant General Thomas Holcomb, the Commandant of the Marine Corps, ordered the creation of a new unit designated the 1st Marine Raider Battalion. This elite force, and its three sister battalions, went on to gain considerable fame for fighting prowess in World War II. There is more to the story of these units, however, than a simple tale of combat heroics. The inception, growth, and sudden end of the raiders reveals a great deal about the development and conduct of amphibious operations during the war, and about the challenges the Corps faced in expanding from 19,000 men to nearly a half million. The raiders also attracted more than their share of strong leaders. The resulting combination of courage, doctrine, organization, and personalities makes this one of the most interesting chapters in Marine Corps history. - Summary by Jon T. Hoffman