Ral O Grad, Vol. 1
Ral O Grad, Vol. 1

Author: Tsuneo Takano

Publisher: VIZ Media LLC

Published: 2008-02-05

Total Pages: 222

ISBN-13: 9781421518909

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He's out to save the world, one rack at a time! In the midst of a war, a child is born during a bloody battle at the cost of his mother's life. From this baby comes forth a huge and powerful dragon born of Shadow. Within minutes the dragon lays waste to the landscape, but a quick-thinking knight locks the baby in a cage of darkness, where he grows to be a young man, knowing only the kindness of his young female tutor. Until the day the Shadows attack and he is set free... During a bloody war, a child is born at the cost of his mother's life. From this baby comes forth a huge and powerful dragon born of shadow that lays waste to the landscape. A quick-thinking knight locks the baby in a cage of darkness, where he grows to be a young man, knowing only the kindness of his young female tutor. Until the day the Shadows attack...

An Introduction to Measure Theory
An Introduction to Measure Theory

Author: Terence Tao

Publisher: American Mathematical Soc.

Published: 2021-09-03

Total Pages: 206

ISBN-13: 1470466406

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This is a graduate text introducing the fundamentals of measure theory and integration theory, which is the foundation of modern real analysis. The text focuses first on the concrete setting of Lebesgue measure and the Lebesgue integral (which in turn is motivated by the more classical concepts of Jordan measure and the Riemann integral), before moving on to abstract measure and integration theory, including the standard convergence theorems, Fubini's theorem, and the Carathéodory extension theorem. Classical differentiation theorems, such as the Lebesgue and Rademacher differentiation theorems, are also covered, as are connections with probability theory. The material is intended to cover a quarter or semester's worth of material for a first graduate course in real analysis. There is an emphasis in the text on tying together the abstract and the concrete sides of the subject, using the latter to illustrate and motivate the former. The central role of key principles (such as Littlewood's three principles) as providing guiding intuition to the subject is also emphasized. There are a large number of exercises throughout that develop key aspects of the theory, and are thus an integral component of the text. As a supplementary section, a discussion of general problem-solving strategies in analysis is also given. The last three sections discuss optional topics related to the main matter of the book.

Mirror Symmetry
Mirror Symmetry

Author: Kentaro Hori

Publisher: American Mathematical Soc.

Published: 2003

Total Pages: 954

ISBN-13: 0821829556

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This thorough and detailed exposition is the result of an intensive month-long course on mirror symmetry sponsored by the Clay Mathematics Institute. It develops mirror symmetry from both mathematical and physical perspectives with the aim of furthering interaction between the two fields. The material will be particularly useful for mathematicians and physicists who wish to advance their understanding across both disciplines. Mirror symmetry is a phenomenon arising in string theory in which two very different manifolds give rise to equivalent physics. Such a correspondence has significant mathematical consequences, the most familiar of which involves the enumeration of holomorphic curves inside complex manifolds by solving differential equations obtained from a ``mirror'' geometry. The inclusion of D-brane states in the equivalence has led to further conjectures involving calibrated submanifolds of the mirror pairs and new (conjectural) invariants of complex manifolds: the Gopakumar-Vafa invariants. This book gives a single, cohesive treatment of mirror symmetry. Parts 1 and 2 develop the necessary mathematical and physical background from ``scratch''. The treatment is focused, developing only the material most necessary for the task. In Parts 3 and 4 the physical and mathematical proofs of mirror symmetry are given. From the physics side, this means demonstrating that two different physical theories give isomorphic physics. Each physical theory can be described geometrically, and thus mirror symmetry gives rise to a ``pairing'' of geometries. The proof involves applying $R\leftrightarrow 1/R$ circle duality to the phases of the fields in the gauged linear sigma model. The mathematics proof develops Gromov-Witten theory in the algebraic setting, beginning with the moduli spaces of curves and maps, and uses localization techniques to show that certain hypergeometric functions encode the Gromov-Witten invariants in genus zero, as is predicted by mirror symmetry. Part 5 is devoted to advanced topi This one-of-a-kind book is suitable for graduate students and research mathematicians interested in mathematics and mathematical and theoretical physics.

Operation World
Operation World

Author: Jason Mandryk

Publisher: InterVarsity Press

Published: 2010-10-15

Total Pages: 1018

ISBN-13: 083089599X

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The definitive guide to global prayer has been updated and revised to cover the entire populated world. Whether you are an intercessor praying behind the scenes or a missionary abroad, Operation World gives you the information you need to play a vital role in fulfilling the Great Commission. (Copublished with Global Mapping International.)

All You Need Is Kill, Vol. 1
All You Need Is Kill, Vol. 1

Author: Takeshi Obata,Yoshitoshi Abe,Ryosuke Takeuchi

Publisher: VIZ Media LLC

Published: 2014-06-19

Total Pages: 217

ISBN-13: 1421578603

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When the alien Mimics invade, Keiji Kiriya is just one of many recruits shoved into a suit of battle armor called a Jacket and sent out to kill. Keiji dies on the battlefield, only to be reborn each morning to fight and die again and again. On his 158th iteration, he gets a message from a mysterious ally--the female soldier known as the Full Metal Bitch. Is she the key to Keiji's escape or his final death? -- VIZ Media

Qualitative Research from Start to Finish, First Edition
Qualitative Research from Start to Finish, First Edition

Author: Robert K. Yin

Publisher: Guilford Press

Published: 2011-09-26

Total Pages: 369

ISBN-13: 1606239783

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This lively, practical text presents a fresh and comprehensive approach to doing qualitative research. The book offers a unique balance of theory and clear-cut choices for customizing every phase of a qualitative study. A scholarly mix of classic and contemporary studies from multiple disciplines provides compelling, field-based examples of the full range of qualitative approaches. Readers learn about adaptive ways of designing studies, collecting data, analyzing data, and reporting findings. Key aspects of the researcher's craft are addressed, such as fieldwork options, the five phases of data analysis (with and without using computer-based software), and how to incorporate the researcher's “declarative” and “reflective” selves into a final report. Ideal for graduate-level courses, the text includes:* Discussions of ethnography, grounded theory, phenomenology, feminist research, and other approaches.* Instructions for creating a study bank to get a new study started.* End-of-chapter exercises and a semester-long, field-based project.* Quick study boxes, research vignettes, sample studies, and a glossary.* Previews for sections within chapters, and chapter recaps.* Discussion of the place of qualitative research among other social science methods, including mixed methods research.

The Practice of Everyday Life
The Practice of Everyday Life

Author: Michel de Certeau

Publisher: Univ of California Press

Published: 1984

Total Pages: 256

ISBN-13: 0520271459

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Michel de Certeau considers the uses to which social representation and modes of social behavior are put by individuals and groups, describing the tactics available to the common man for reclaiming his own autonomy from the all-pervasive forces of commerce, politics, and culture. In exploring the public meaning of ingeniously defended private meanings, de Certeau draws on an immense theoretical literature in analytic philosophy, linguistics, sociology, semiology, and anthropology--to speak of an apposite use of imaginative literature.

Microdifferential Systems in the Complex Domain
Microdifferential Systems in the Complex Domain

Author: P. Schapira

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 225

ISBN-13: 3642616658

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The words "microdifferential systems in the complex domain" refer to seve ral branches of mathematics: micro local analysis, linear partial differential equations, algebra, and complex analysis. The microlocal point of view first appeared in the study of propagation of singularities of differential equations, and is spreading now to other fields of mathematics such as algebraic geometry or algebraic topology. How ever it seems that many analysts neglect very elementary tools of algebra, which forces them to confine themselves to the study of a single equation or particular square matrices, or to carryon heavy and non-intrinsic formula tions when studying more general systems. On the other hand, many alge braists ignore everything about partial differential equations, such as for example the "Cauchy problem", although it is a very natural and geometri cal setting of "inverse image". Our aim will be to present to the analyst the algebraic methods which naturally appear in such problems, and to make available to the algebraist some topics from the theory of partial differential equations stressing its geometrical aspects. Keeping this goal in mind, one can only remain at an elementary level.

Experimental and Quasi-experimental Designs for Generalized Causal Inference
Experimental and Quasi-experimental Designs for Generalized Causal Inference

Author: William R. Shadish

Publisher: Cengage Learning

Published: 2002

Total Pages: 664

ISBN-13:

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Sections include: experiments and generalised causal inference; statistical conclusion validity and internal validity; construct validity and external validity; quasi-experimental designs that either lack a control group or lack pretest observations on the outcome; quasi-experimental designs that use both control groups and pretests; quasi-experiments: interrupted time-series designs; regresssion discontinuity designs; randomised experiments: rationale, designs, and conditions conducive to doing them; practical problems 1: ethics, participation recruitment and random assignment; practical problems 2: treatment implementation and attrition; generalised causal inference: a grounded theory; generalised causal inference: methods for single studies; generalised causal inference: methods for multiple studies; a critical assessment of our assumptions.

American Military History Volume 1
American Military History Volume 1

Author: Army Center of Military History

Publisher:

Published: 2016-06-05

Total Pages: 436

ISBN-13: 9781944961404

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American Military History provides the United States Army-in particular, its young officers, NCOs, and cadets-with a comprehensive but brief account of its past. The Center of Military History first published this work in 1956 as a textbook for senior ROTC courses. Since then it has gone through a number of updates and revisions, but the primary intent has remained the same. Support for military history education has always been a principal mission of the Center, and this new edition of an invaluable history furthers that purpose. The history of an active organization tends to expand rapidly as the organization grows larger and more complex. The period since the Vietnam War, at which point the most recent edition ended, has been a significant one for the Army, a busy period of expanding roles and missions and of fundamental organizational changes. In particular, the explosion of missions and deployments since 11 September 2001 has necessitated the creation of additional, open-ended chapters in the story of the U.S. Army in action. This first volume covers the Army's history from its birth in 1775 to the eve of World War I. By 1917, the United States was already a world power. The Army had sent large expeditionary forces beyond the American hemisphere, and at the beginning of the new century Secretary of War Elihu Root had proposed changes and reforms that within a generation would shape the Army of the future. But world war-global war-was still to come. The second volume of this new edition will take up that story and extend it into the twenty-first century and the early years of the war on terrorism and includes an analysis of the wars in Afghanistan and Iraq up to January 2009.