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Nazi Science
In this book, Mark Walker - a historical scholar of Nazi science - brings to light the overwhelming impact of Hitler's regime on science and, ultimately, on the pursuit of the German atomic bomb. Walker meticulously draws on hundreds of original documents to examine the role of German scientists in the rise and fall of the Third Reich. He investigates whether most German scientists during Hitler's regime enthusiastically embraced the tenets of National Socialism or cooperated in a Faustian pact for financial support, which contributed to National Socialism's running rampant and culminated in the rape of Europe and the genocide of millions of Jews. This work unravels the myths and controversies surrounding Hitler's atomic bomb project. It provides a look at what surprisingly turned out to be an Achilles' heel for Hitler - the misuse of science and scientists in the service of the Third Reich.
Cogalois Theory
This volume offers a systematic, comprehensive investigation of field extensions, finite or not, that possess a Cogalois correspondence. The subject is somewhat dual to the very classical Galois Theory dealing with field extensions possessing a Galois correspondence. Solidly backed by over 250 exercises and an extensive bibliography, this book presents a compact and complete review of basic field theory, considers the Vahlen-Capelli Criterion, investigates the radical, Kneser, strongly Kneser, Cogalois, and G-Cogalois extensions, discusses field extensions that are simultaneously Galois and G-Cogalois, and presents nice applications to elementary field arithmetic.
Quantum Field Theory Conformal Group Theory Conformal Field Theory
The conformal group is the invariance group of geometry (which is not understood), the largest one. Physical applications are implied, as discussed, including reasons for interactions. The group structure as well as those of related groups are analyzed. An inhomogeneous group is a subgroup of a homogeneous one because of nonlinearities of the realization. Conservation of baryons (protons can't decay) is explained and proven. Reasons for various realizations, so matrix elements, of the Lorentz group given. The clearly relevant mass level formula is compared with experimental values. Questions, implications and possibilities, including for differential equations, are raised.
