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Using thorough and stark statistics, Kennedy describes a South emerging from World War II, coming to grips with the racism and feudalism that had held it back for generations. He includes an all-out Who’s Who, based on his own undercover investigations, of the "hate-mongers, race-racketeers, and terrorists who swore that apartheid must go on forever." The first paperback edition brings to a new generation of readers Kennedy’s searing profile of Dixie before the civil rights movement.

• Sales Rank: #3979223 in Books
• Published on: 2011-02-28
• Original language: English
• Number of items: 1
• Dimensions: 8.50" h x 1.70" w x 5.50" l, 1.00 pounds
• Binding: Paperback
• 286 pages

Review
 “[This book represents] a tradition that links analysis to action, that tells the truth and makes clear the imperative for change. Stetson Kennedy is the right person to follow. He is a freedom fighter, patriot and rebel, investigator and truth-teller, a foot soldier and leader in the larger movement for a more human planet.”—Bob Hall, editor of Southern Exposure Magazine

“A strong weapon against intolerance.”—Ellis Arnall, former governor of Georgia, in the New York Times

“A filing case bursting with documented evidence against almost every phase of southern life.” —Chicago Sun

About the Author

Stetson Kennedy is an award-winning author and human rights activist. Kennedy is also known as a pioneering folklorist, a labor activist, and environmentalist. He is the author of the books: Palmetto Country, Southern Exposure, The Jim Crow Guide, The Klan Unmasked, and After Appomattox.

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!! PDF Ebook Moment Maps and Combinatorial Invariants of Hamiltonian Tn-spaces (Progress in Mathematics), by Victor Guillemin

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The action of a compact Lie group, G, on a compact sympletic manifold gives rise to some remarkable combinatorial invariants. The simplest and most interesting of these is the moment polytopes, a convex polyhedron which sits inside the dual of the Lie algebra of G. One of the main goals of this monograph is to describe what kinds of geometric information are encoded in this polytope. This book is addressed to researchers and can be used as a semester text.

• Sales Rank: #5205250 in Books
• Brand: Brand: Birkhäuser
• Published on: 1994-12-01
• Original language: English
• Number of items: 1
• Dimensions: 9.21" h x .44" w x 6.14" l, .90 pounds
• Binding: Hardcover
• 152 pages

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• Used Book in Good Condition

Review

"...carefully written book [on] the so-called Delzant spaces... Many of the statements in the body of the book are left as exercises (with copious hints). At the end of each chapter there are very interesting bibliographical notes. The reader who works through this book will acquire a solid knowledge of this beautiful and elegant part of mathematics."

--Mathematical Reviews

From the Back Cover

The action of a compact Lie group, G, on a compact sympletic manifold gives rise to some remarkable combinatorial invariants. The simplest and most interesting of these is the moment polytope, a convex polyhedron which sits inside the dual of the Lie algebra of G. One of the main goals of this monograph is to describe what kinds of geometric information are encoded in this polytope. For instance, the first chapter is largely devoted to the Delzant theorem, which says that there is a one-one correspondence between certain types of moment polytopes and certain types of symplectic G-spaces. (One of the most challenging unsolved problems in symplectic geometry is to determine to what extent Delzant’s theorem is true of every compact symplectic G-Space.)

The moment polytope also encodes quantum information about the actions of G. Using the methods of geometric quantization, one can frequently convert this action into a representations, p , of G on a Hilbert space, and in some sense the moment polytope is a diagrammatic picture of the irreducible representations of G which occur as subrepresentations of p. Precise versions of this item of folklore are discussed in Chapters 3 and 4. Also, midway through Chapter 2 a more complicated object is discussed: the Duistermaat-Heckman measure, and the author explains in Chapter 4 how one can read off from this measure the approximate multiplicities with which the irreducible representations of G occur in p. This gives an excuse to touch on some results which are in themselves of great current interest: the Duistermaat-Heckman theorem, the localization theorems in equivariant cohomology of Atiyah-Bott and Berline-Vergne and the recent extremely exciting generalizations of these results by Witten, Jeffrey-Kirwan, Lalkman, and others.

The last two chapters of this book are a self-contained and somewhat unorthodox treatment of the theory of toric varieties in which the usual hierarchal relation of complex to symplectic is reversed. This book is addressed to researchers and can be used as a semester text.

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? PDF Download Singularity Theory and Gravitational Lensing, by Arlie O. Petters, Harold Levine, Joachim Wambsganss

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This monograph is the first to develop a mathematical theory of gravitational lensing. The theory applies to any finite number of deflector planes and highlights the distinctions between single and multiple plane lensing. Introductory material in Parts I and II present historical highlights and the astrophysical aspects of the subject. Part III employs the ideas and results of singularity theory to put gravitational lensing on a rigorous mathematical foundation.

• Sales Rank: #3413724 in Books
• Brand: Brand: Birkhäuser
• Published on: 2001-06-15
• Original language: English
• Number of items: 1
• Dimensions: 9.72" h x 1.38" w x 7.06" l, 2.76 pounds
• Binding: Hardcover
• 604 pages

Features

• Used Book in Good Condition

Review

"The time is ripe for a comprehensive volume explaining gravitational lensing to mathematicians and reviewing relevant singularity theory for astrophysicists. This is such a book. [It] . . . is accessible and attractive, . . . ranging widely through the history, physics and mathematics to paint a full picture of this . . . theory. This most attractively presented book summarizes current mathematical methods in the field and sets the stage for further exciting developments . . . A collaboration between a mathematical physicist, a mathematician, and a physicist, it has something for everybody."

―Mathematical Reviews

"This is a well-developed monograph on gravitational lensing both from the observational and from the mathematical points of view. However, also independent of the present interest in gravitational lensing, this book is a good source for several types of singularity theories . . . index and bibliography are very well done."

―Zentralblatt Math

 "The rather voluminous monograph to be reviewed here covers both astrophysical and mathematicsl aspects of gravitational lensing. The scientific backgrohnd of the three authors guarantees that they are the right persons for such an enterprise.  Arlie Petters is one of very few scientists who are competent in mathematics as well as in astrophysics.  His coauthors are a pure astrophysicist and a pure matheamtician: Joachim Wambsganss is aleading expert on gravitational lensing as a tool in astrophysics and Harold Levine has made important contributions to the theory of signularities of maps in the 1960s. . . "It is not much of an exaggeration to say that large parts of this monograph can serve as a self-contained matheamtics text-book on the theory of singularites of maps and related subjects, and even a particularly well-written one.  So I would not hesitate to recommend it to pure matheamticians who will find a fine exposistion of a subject from their field, along with applicaions to astrophysics which should be very well readable for them.  I also recommend the book to pure astrophysicists, because it contains a lot of material which has a high atrophysical relevance. . .  If one compares to tbook by Petters, Leven and Wambsganss with the earlier mongraph on gravtiational lenses by Schneider, Ehlers and Falco, one finds that there is not very much overlap.  The two books rather complement each other."

---Gen. Relativ. Gravit.

From the Back Cover

This monograph, unique in the literature, is the first to develop a mathematical theory of gravitational lensing. The theory applies to any finite number of deflector planes and highlights the distinctions between single and multiple plane lensing.

Introductory material in Parts I and II present historical highlights and the astrophysical aspects of the subject. Among the lensing topics discussed are multiple quasars, giant luminous arcs, Einstein rings, the detection of dark matter and planets with lensing, time delays and the age of the universe (Hubble’s constant), microlensing of stars and quasars.

The main part of the book---Part III---employs the ideas and results of singularity theory to put gravitational lensing on a rigorous mathematical foundation and solve certain key lensing problems. Results are published here for the first time.

Mathematical topics discussed: Morse theory, Whitney singularity theory, Thom catastrophe theory, Mather stability theory, Arnold singularity theory, and the Euler characteristic via projectivized rotation numbers. These tools are applied to the study of stable lens systems, local and global geometry of caustics, caustic metamorphoses, multiple lens images, lensed image magnification, magnification cross sections, and lensing by singular and nonsingular deflectors.

Examples, illustrations, bibliography and index make this a suitable text for an undergraduate/graduate course, seminar, or independent these project on gravitational lensing. The book is also an excellent reference text for professional mathematicians, mathematical physicists, astrophysicists, and physicists.

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1 of 1 people found the following review helpful.
Singularity Theory and Gravitational Lensing by Petters
By W. Simmons
The book addresses the subject on two levels. The first part of the book is oriented toward physicists and the second half toward mathematicians. I think this is excellent.

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Many boundary value problems are equivalent to Au=O (1) where A: X ---+ Y is a mapping between two Banach spaces. When the problem is variational, there exists a differentiable functional 0 and e E X such that lIell > rand inf

• Sales Rank: #4287227 in Books
• Published on: 1997-02-01
• Original language: English
• Number of items: 1
• Dimensions: 9.21" h x .44" w x 6.14" l, .94 pounds
• Binding: Hardcover
• 200 pages

Review

"The material is presented in a unified way, and the proofs are concise and elegant... Essentially self-contained."

--Mathematical Reviews

From the Back Cover
Willem's book is devoted to minimax theorems and their applications to partial differential equations. Presenting basic minimax theorems in a simple and unified way, this book may serve as a textbook for advanced graduate students in partial differential equations.

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A gripping story of the cultural resilience of the descendants of Geronimo and Cochise.             This book reveals the conflicting meanings of power held by the federal government and the Chiricahua Apaches throughout their history of interaction. When Geronimo and Naiche, son of Cochise, surrendered in 1886, their wartime exploits came to an end, but their real battle for survival was only beginning. Throughout their captivity in Florida, Alabama, and Oklahoma, Naiche kept alive Chiricahua spiritual power by embodying it in his beautiful hide paintings of the Girl’s Puberty Ceremony—a ritual at the very heart of tribal cultural life and spiritual strength.            This narrative is a tribute to the Chiricahua people, who survive today, despite military efforts to annihilate them, government efforts to subjugate them, and social efforts to destroy their language and culture. Although federal policy makers brought to bear all the power at their command, they failed to eradicate Chiricahua spirit and identity nor to convince them that their lower status was just part of the natural social order. Naiche, along with many other Chiricahuas, believed in another kind of power. Although not known to have Power of his own in the Apache sense, Naiche’s paintings show that he believed in a vital source of spiritual strength. In a very real sense, his paintings were visual prayers for the continuation of the Chiricahua people. Accessible to individuals for many purposes, Power helped the Chiricahuas survive throughout their history.            In this book, Griffin-Pierce explores Naiche’s artwork through the lens of current anthropological theory on power, hegemony, resistance, and subordination. As she retraces the Chiricahua odyssey during 27 years of incarceration and exile by visiting their internment sites, she reveals how the Power was with them throughout their dark period. As it was when the Chiricahua warriors and their families struggled to stay alive, Power remains the centering focus for contemporary Chiricahua Apaches. Although never allowed to return to their beloved homeland, not only are the Chiricahua Apaches surviving today, they are keeping their traditions alive and their culture strong and vital.

• Sales Rank: #2693684 in Books
• Brand: Brand: University Alabama Press
• Published on: 2006-12-17
• Original language: English
• Number of items: 1
• Dimensions: 9.00" h x .50" w x 6.13" l, .80 pounds
• Binding: Paperback
• 240 pages

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• Used Book in Good Condition

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“It was with great pleasure that I read Chiricahua Apache Enduring Power and endorse the publication of this book with the highest praise. The scholarship is impeccable and it will provide a much needed addition to the growing literature on Indian hide paintings”—JoAllyn Archambault, Director, American Indian Program, Smithsonian Institution

About the Author
Trudy Griffin-Pierce and author of several books about American Indians, including Native Peoples of the Southwest. She is of Catawba Indian descent and was born in South Carolina, although Arizona has been her home since 1971.

 

 

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@ Download PDF Mathematical Modeling of Complex Biological Systems: A Kinetic Theory Approach (Modeling and Simulation in Science, Engineering and Technol

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This book describes the evolution of several socio-biological systems using mathematical kinetic theory. Specifically, it deals with modeling and simulations of biological systems whose dynamics follow the rules of mechanics as well as rules governed by their own ability to organize movement and biological functions. It proposes a new biological model focused on the analysis of competition between cells of an aggressive host and cells of a corresponding immune system. Proposed models are related to the generalized Boltzmann equation. The book may be used for advanced graduate courses and seminars in biological systems modeling.

• Sales Rank: #6542686 in Books
• Brand: Brand: Birkhäuser
• Published on: 2006-08-17
• Original language: English
• Number of items: 1
• Dimensions: 9.21" h x .50" w x 6.14" l, 1.05 pounds
• Binding: Hardcover
• 188 pages

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• Used Book in Good Condition

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The focus of the book is the development of this new mathematical framework, and an application to modeling the immune response, particularly interactions between cancer cells and immune cells, is considered in detail. The model involves integro-differential evolution equations. Much of the book is devoted to obtaining asymptotic solutions as well as numerical solutions of the model system. –MathSciNet

From the Back Cover

This book describes the evolution of several socio-biological systems using mathematical kinetic theory. Specifically, it deals with modeling and simulations of biological systems―comprised of large populations of interacting cells―whose dynamics follow the rules of mechanics as well as rules governed by their own ability to organize movement and biological functions. The authors propose a new biological model for the analysis of competition between cells of an aggressive host and cells of a corresponding immune system.

Because the microscopic description of a biological system is far more complex than that of a physical system of inert matter, a higher level of analysis is needed to deal with such complexity. Mathematical models using kinetic theory may represent a way to deal with such complexity, allowing for an understanding of phenomena of nonequilibrium statistical mechanics not described by the traditional macroscopic approach. The proposed models are related to the generalized Boltzmann equation and describe the population dynamics of several interacting elements (kinetic population models).

The particular models proposed by the authors are based on a framework related to a system of integro-differential equations, defining the evolution of the distribution function over the microscopic state of each element in a given system. Macroscopic information on the behavior of the system is obtained from suitable moments of the distribution function over the microscopic states of the elements involved. The book follows a classical research approach applied to modeling real systems, linking the observation of biological phenomena, collection of experimental data, modeling, and computational simulations to validate the proposed models. Qualitative analysis techniques are used to identify the prediction ability of specific models.

The book will be a valuable resource for applied mathematicians as well as researchers in the field of biological sciences. It may be used for advanced graduate courses and seminars in biological systems modeling with applications to collective social behavior, immunology, and epidemiology.

 

About the Author

This book describes the evolution of several socio-biological systems using mathematical kinetic theory. Specifically, it deals with modeling and simulations of biological systems―comprised of large populations of interacting cells―whose dynamics follow the rules of mechanics as well as rules governed by their own ability to organize movement and biological functions. The authors propose a new biological model for the analysis of competition between cells of an aggressive host and cells of a corresponding immune system.

Because the microscopic description of a biological system is far more complex than that of a physical system of inert matter, a higher level of analysis is needed to deal with such complexity. Mathematical models using kinetic theory may represent a way to deal with such complexity, allowing for an understanding of phenomena of nonequilibrium statistical mechanics not described by the traditional macroscopic approach. The proposed models are related to the generalized Boltzmann equation and describe the population dynamics of several interacting elements (kinetic populations models).

The particular models proposed by the authors are based on a framework related to a system of integro-differential equations, defining the evolution of the distribution function over the microscopic state of each element in a given system. Macroscopic information on the behavior of the system is obtained from suitable moments of the distribution function over the microscopic states of the elements involved. The book follows a classical research approach applied to modeling real systems, linking the observation of biological phenomena, collection of experimental data, modeling, and computational simulations to validate the proposed models. Qualitative analysis techniques are used to identify the prediction ability of specific models.

The book will be a valuable resource for applied mathematicians as well as researchers in the field of biological sciences. It may be used for advanced graduate courses and seminars in biological systems modeling with applications to collective social behavior, immunology, and epidemiology.

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** Get Free Ebook Nonlinear Analysis and its Applications to Differential Equations (Progress in Nonlinear Differential Equations and Their Applications)F

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This work, consisting of expository articles as well as research papers, highlights recent developments in nonlinear analysis and differential equations.  The material is largely an outgrowth of autumn school courses and seminars held at the University of Lisbon and has been thoroughly refereed.

Several topics in ordinary differential equations and partial differential equations are the focus of key articles, including:

* periodic solutions of systems with p-Laplacian type operators (J. Mawhin)

* bifurcation in variational inequalities (K. Schmitt)

* a geometric approach to dynamical systems in the plane via twist theorems (R. Ortega)

* asymptotic behavior and periodic solutions for Navier--Stokes equations (E. Feireisl)

* mechanics on Riemannian manifolds (W. Oliva)

* techniques of lower and upper solutions for ODEs (C. De Coster and P. Habets)

A number of related subjects dealing with properties of solutions, e.g., bifurcations, symmetries, nonlinear oscillations, are treated in other articles. 

This volume reflects rich and varied fields of research and will be a useful resource for mathematicians and graduate students in the ODE and PDE community.

 

• Sales Rank: #7691312 in Books
• Brand: Brand: Birkhäuser
• Published on: 2000-11-29
• Original language: English
• Number of items: 1
• Dimensions: 9.21" h x .94" w x 6.14" l, 1.63 pounds
• Binding: Hardcover
• 384 pages

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