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This is the second of three volumes devoted to elementary finite p-group theory. Similar to the first volume, hundreds of important results are analyzed and, in many cases, simplified. Important topics presented in this monograph include: (a) classification of p-groups all of whose cyclic subgroups of composite orders are normal, (b) classification of 2-groups with exactly three involutions, (c) two proofs of Ward's theorem on quaternion-free groups, (d) 2-groups with small centralizers of an involution, (e) classification of 2-groups with exactly four cyclic subgroups of order 2n › 2, (f) two new proofs of Blackburn's theorem on minimal nonmetacyclic groups, (g) classification of p-groups all of whose subgroups of index p2 are abelian, (h) classification of 2-groups all of whose minimal nonabelian subgroups have order 8, (i) p-groups with cyclic subgroups of index p2 are classified. This volume contains hundreds of original exercises (with all difficult exercises being solved) and an extended list of about 700 open problems. The book is based on Volume 1, and it is suitable for researchers and graduate students of mathematics with a modest background on algebra.

Finite groups. --- Group theory. --- Groups, Theory of --- Substitutions (Mathematics) --- Algebra --- Groups, Finite --- Group theory --- Modules (Algebra) --- Group Theory. --- Order. --- Primes.

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This is the third volume of a comprehensive and elementary treatment of finite p-group theory. Topics covered in this volume: impact of minimal nonabelian subgroups on the structure of p-groups, classification of groups all of whose nonnormal subgroups have the same order, degrees of irreducible characters of p-groups associated with finite algebras, groups covered by few proper subgroups, p-groups of element breadth 2 and subgroup breadth 1, exact number of subgroups of given order in a metacyclic p-group, soft subgroups, p-groups with a maximal elementary abelian subgroup of order p2, p-groups generated by certain minimal nonabelian subgroups, p-groups in which certain nonabelian subgroups are 2-generator. The book contains many dozens of original exercises (with difficult exercises being solved) and a list of about 900 research problems and themes.

Finite groups. --- Group theory. --- Groups, Theory of --- Substitutions (Mathematics) --- Algebra --- Groups, Finite --- Group theory --- Modules (Algebra) --- Group Theory. --- Order. --- Primes.

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This book presents a translation and update of the classic German textbook of Mineralogy and Petrology that has been published for decades. It provides an introduction to mineralogy, petrology, and geochemistry, discussing the principles of mineralogy, including crystallography, chemical bonding, and physical properties, and the genesis of minerals in a didactic and understandable way. Illustrated with numerous figures and tables, it also features several sections dedicated to the genesis of mineral resources. The textbook reflects the authors’ many years of experience and is ideal for use in lectures on mineralogy and petrology. .

Mineralogy. --- Geochemistry. --- Economic geology. --- Economic Geology. --- Economic geology --- Physical geology --- Mines and mineral resources --- Chemical composition of the earth --- Chemical geology --- Geological chemistry --- Geology, Chemical --- Chemistry --- Earth sciences --- Crystallography --- Minerals --- Mineralogia --- Petrologia --- Litologia --- Petrografia --- Geologia --- Roques --- Fàcies (Geologia) --- Làmines primes (Geologia) --- Marbre --- Metamorfisme --- Petrofàbrica --- Petrogènesi --- Sedimentologia --- Clorita --- Cristal·lografia --- Gemmologia --- Inclusions (Geologia) --- Mineralogia determinativa --- Mineralogia òptica --- Nucleació --- Paragènesi --- Química mineralògica

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This edited volume contains the best papers accepted for presentation during the 1st Springer Conference of the Arabian Journal of Geosciences (CAJG-1), Tunisia 2018. The volume shares the latest results from paleontological, biostratigraphic and sedimentological studies by experienced researchers mainly from research institutes in the Mediterranean and Middle East. Main topics include: paleontology, biostratigraphy, sedimentology, paleoclimatology and geomorphology. Some new insights are given on paleobiodiversity and major biological tools for biostratigraphy, patterns, mechanisms and processes of meso-cenozoic sedimentation in the Mediterranean and Middle East. In particular, case studies are included to highlight the major controlling factors of Tethyan biosphere-geosphere interactions as inferred from the Mediterranean and Middle East regions. The book is of interest to all researchers in the fields of different disciplines involved in the sedimentary geology.

Geology. --- Paleontology . --- Paleoecology. --- Paleontology. --- Earth System Sciences. --- Geomorphology. --- Paleontology --- Physical geography. --- Palaeoecology --- Ecology --- Paleobiology --- Fossilogy --- Fossilology --- Palaeontology --- Paleontology, Zoological --- Paleozoology --- Historical geology --- Zoology --- Fossils --- Prehistoric animals in motion pictures --- Geognosy --- Geoscience --- Earth sciences --- Natural history --- Geomorphic geology --- Physiography --- Physical geography --- Landforms --- Geography --- Paleontologia --- Geomorfologia --- Paleontologia zoològica --- Paleozoologia --- Geologia històrica --- Zoologia --- Bioestratigrafia --- Fòssils --- Icnologia --- Làmines primes (Geologia) --- Micropaleontologia --- Paleoantropologia --- Paleobiogeografia --- Paleobiologia --- Paleobotànica --- Paleoentomologia --- Paleopatologia --- Tafonomia --- Animals extints --- Animals fòssils --- Plistocè --- Fisiografia --- Morfologia (Ciències de la Terra) --- Geografia física --- Geologia --- Costes --- Erosió --- Espeleologia --- Formació de cràters --- Geomorfologia climàtica --- Geomorfologia fluvial --- Geomorfologia glacial --- Geomorfologia litoral --- Geomorfologia periglacial --- Processos eòlics --- Topografia submarina --- Relleu (Geografia)

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The charm of Mathematical Physics resides in the conceptual difficulty of understanding why the language of Mathematics is so appropriate to formulate the laws of Physics and to make precise predictions. Citing Eugene Wigner, this “unreasonable appropriateness of Mathematics in the Natural Sciences” emerged soon at the beginning of the scientific thought and was splendidly depicted by the words of Galileo: “The grand book, the Universe, is written in the language of Mathematics.” In this marriage, what Bertrand Russell called the supreme beauty, cold and austere, of Mathematics complements the supreme beauty, warm and engaging, of Physics. This book, which consists of nine articles, gives a flavor of these beauties and covers an ample range of mathematical subjects that play a relevant role in the study of physics and engineering. This range includes the study of free probability measures associated with p-adic number fields, non-commutative measures of quantum discord, non-linear Schrödinger equation analysis, spectral operators related to holomorphic extensions of series expansions, Gibbs phenomenon, deformed wave equation analysis, and optimization methods in the numerical study of material properties.

prolongation structure --- mNLS equation --- Riemann-Hilbert problem --- initial-boundary value problem --- free probability --- primes --- p-adic number fields --- Banach *-probability spaces --- weighted-semicircular elements --- semicircular elements --- truncated linear functionals --- FCM fuel --- thermal–mechanical performance --- failure probability --- silicon carbide --- quantum discord --- non-commutativity measure --- dynamic models --- Gibbs phenomenon --- quasi-affine --- shift-invariant system --- dual tight framelets --- oblique extension principle --- B-splines --- crack growth behavior --- particle model --- intersecting flaws --- uniaxial compression --- reinforced concrete --- retaining wall --- optimization --- bearing capacity --- particle swarm optimization --- PSO --- generalized Fourier transform --- deformed wave equation --- Huygens’ principle --- representation of ??(2,ℝ) --- holomorphic extension --- spherical Laplace transform --- non-Euclidean Fourier transform --- Fourier–Legendre expansion