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Cohomological Invariants in Galois Cohomology
This volume addresses algebraic invariants that occur in the confluence of several important areas of mathematics, including number theory, algebra, and arithmetic algebraic geometry. The invariants are analogues for Galois cohomology of the characteristic classes of topology, which have been extremely useful tools in both topology and geometry. It is hoped that these new invariants will prove similarly useful. Early versions of the invariants arose in the attempt to classify the quadratic forms over a given field. The authors are well-known experts in the field. Serre, in particular, is recognized as both a superb mathematician and a master author. His book on Galois cohomology from the 1960s was fundamental to the development of the theory. Merkurjev, also an expert mathematician and author, co-wrote The Book of Involutions (Volume 44 in the AMS Colloquium Publications series), an important work that contains preliminary descriptions of some of the main results on invariants described here. The book also includes letters between Serre and some of the principal developers of the theory. It will be of interest to graduate students and research mathematicians interested in number th
Garibaldi in South America
For over twelve years in the first half of the nineteenth century, Giuseppe Garibaldi, the hero of Italian unification, lived, learned and fought in South America. He was tortured, escaped death on countless occasions, and met his Brazilian wife, Anita, who eloped with him in 1839. From then on, she would share in Garibaldi's personal and political odyssey, first in the breakaway republic of Rio Grande do Sul in southern Brazil, and then as Montevideo's admiral and general in the Uruguayan civil war. Richard Bourne breathes life and understanding into these spectacular South American adventures, which also shed light on the creation of Italy. Garibaldi's Redshirts liberated Sicily and Naples...
Garibaldi
Giuseppe Garibaldi, the Italian revolutionary leader and popular hero, was among the best-known figures of the nineteenth century. This book seeks to examine his life and the making of his cult, to assess its impact, and understand its surprising success. For thirty years Garibaldi was involved in every combative event in Italy. His greatest moment came in 1860, when he defended a revolution in Sicily and provoked the collapse of the Bourbon monarchy, the overthrow of papal power in central Italy, and the creation of the Italian nation state. It made him a global icon, representing strength, bravery, manliness, saintliness, and a spirit of adventure. Handsome, flamboyant, and sexually attrac...
Future Sounds
At long last, the secrets of Tower of Power drummer David Garibaldi's groundbreaking funk/jazz fusion drumming techniques are presented in this innovative book. Whether you play rock, heavy metal, jazz or funk, you'll learn how to incorporate Garibaldi's contemporary "linear" styles and musical concepts into your playing as you develop your own unique drumset vocabulary. Funk/Jazz techniques are highlighted in chapters on development of the "Two Sound Level" concept, Four-Bar Patterns, Groove Playing and Funk Drumming, followed by a series of challenging exercises which include 15 Groove Studies and 17 Permutation Studies. These techniques are combined with modern musical ideas that will help you build a solid foundation and add finesse to your bag of tricks.
The Hero's Way
'Elegantly written, full of wit and charm, this is travel writing at its very best' Orlando Figes In the summer of 1849, Giuseppe Garibaldi, Italy's legendary revolutionary hero, fled Rome and led 4,000 of his men hundreds of miles through Umbria and Tuscany, then across the Apennines, Italy's mountainous spine, toward the refuge of the Venetian Republic. After thirty-two exhausting days of skirmishes and adventures, only 250 survivors reached the Adriatic coast. This hair-raising journey is brought vividly to life by bestselling author Tim Parks, who in the blazing summer of 2019, followed in Garibaldi's footsteps. A fascinating portrait of Italy past and present, The Hero's Way is a celebration of determination, creativity and desperate courage.
Optimization in Microeconomics
"Optimization in Microeconomics is a mathematical economics textbook that synthesizes what the reader knows about mathematics and economics. The exercises in the book ask readers to translate verbal descriptions of an economic problem into mathematical terms for use with optimization techniques to analyze and then translate the mathematical answers back into economic language. The optimization topics include functions of one variable, two variables, several variables, constrained optimization, and finally duality. In each case, the reader is asked to find optima, solve comparative statics problems, and to apply the Envelope Theorem. These last two topics are treated as central and are includ...
Mixed-Norm Inequalities and Operator Space $L_p$ Embedding Theory
Contains the proof of a noncommutative analogue of the inequality for sums of free random variables over a given von Neumann subalgebra.
Problems in Abstract Algebra
This is a book of problems in abstract algebra for strong undergraduates or beginning graduate students. It can be used as a supplement to a course or for self-study. The book provides more variety and more challenging problems than are found in most algebra textbooks. It is intended for students wanting to enrich their learning of mathematics by tackling problems that take some thought and effort to solve. The book contains problems on groups (including the Sylow Theorems, solvable groups, presentation of groups by generators and relations, and structure and duality for finite abelian groups); rings (including basic ideal theory and factorization in integral domains and Gauss's Theorem); linear algebra (emphasizing linear transformations, including canonical forms); and fields (including Galois theory). Hints to many problems are also included.
Center Manifolds for Semilinear Equations with Non-Dense Domain and Applications to Hopf Bifurcation in Age Structured Models
Several types of differential equations, such as delay differential equations, age-structure models in population dynamics, evolution equations with boundary conditions, can be written as semilinear Cauchy problems with an operator which is not densely defined in its domain. The goal of this paper is to develop a center manifold theory for semilinear Cauchy problems with non-dense domain. Using Liapunov-Perron method and following the techniques of Vanderbauwhede et al. in treating infinite dimensional systems, the authors study the existence and smoothness of center manifolds for semilinear Cauchy problems with non-dense domain. As an application, they use the center manifold theorem to establish a Hopf bifurcation theorem for age structured models.
Non-Divergence Equations Structured on Hormander Vector Fields: Heat Kernels and Harnack Inequalities
"March 2010, Volume 204, number 961 (end of volume)."
