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Relativity, Gravitation and Cosmology: A Basic Introduction

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Relativity, Gravitation and Cosmology: A Basic Introduction By Ta-Pei Cheng
2009 | 355 Pages | ISBN: 0199573638 , 0199573646 | PDF | 6 MB

Relativity, Gravitation and Cosmology: A Basic Introduction
Einstein's general theory of relativity is introduced in this advanced undergraduate and beginning graduate level textbook. Topics include special relativity, in the formalism of Minkowski's four-dimensional space-time, the principle of equivalence, Riemannian geometry and tensor analysis, Einstein field equation, as well as many modern cosmological subjects, from primordial inflation and cosmic microwave anisotropy to the dark energy that propels an accelerating universe.
The author presents the subject with an emphasis on physical examples and simple applications without the full tensor apparatus. The reader first learns how to describe curved spacetime. At this mathematically more accessible level, the reader can already study the many interesting phenomena such as gravitational lensing, precession of Mercury's perihelion, black holes, and cosmology. The full tensor formulation is presented later, when the Einstein equation is solved for a few symmetric cases. Many modern topics in cosmology are discussed in this book: from inflation, cosmic microwave anisotropy to the "dark energy" that propels an accelerating universe.
Mathematical accessibility, together with the various pedagogical devices (e.g., worked-out solutions of chapter-end problems), make it practical for interested readers to use the book to study general relativity and cosmology on their own.
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Elliptic Mixed, Transmission and Singular Crack Problems

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Elliptic Mixed, Transmission and Singular Crack Problems By Gohar Harutyunyan, B.-Wolfgang Schulze
2007 | 777 Pages | ISBN: 303719040X | PDF | 6 MB

Elliptic Mixed, Transmission and Singular Crack Problems
Mixed, transmission, or crack problems belong to the analysis of boundary value problems on manifolds with singularities. The Zaremba problem with a jump between Dirichlet and Neumann conditions along an interface on the boundary is a classical example. The central theme of this book is to study mixed problems in standard Sobolev spaces as well as in weighted edge spaces where the interfaces are interpreted as edges. Parametrices and regularity of solutions are obtained within a systematic calculus of boundary value problems on manifolds with conical or edge singularities. This calculus allows singularities on the interface and homotopies between mixed and crack problems. Additional edge conditions are computed in terms of relative index results. In a detailed final chapter, the intuitive ideas of the approach are illustrated, and there is a discussion of future challenges. A special feature of the text is the inclusion of many worked-out examples which help the reader to appreciate the scope of the theory and to treat new cases of practical interest. This book is addressed to mathematicians and physicists interested in models with singularities, associated boundary value problems, and their solvability strategies based on pseudo-differential operators. The material is also useful for students in higher semesters and young researchers, as well as for experienced specialists working in analysis on manifolds with geometric singularities, the applications of index theory and spectral theory, operator algebras with symbolic structures, quantisation, and asymptotic analysis.
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Grob’s Basic Electronics, 11th Edition

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Grob's Basic Electronics, 11th Edition by Mitchel E. Schultz
English | 2010 | ISBN: 0073510858 | PDF | 1280 pages | 56 MB

Grob’s Basic Electronics, 11th Edition
"Grob's Basic Electronics, Eleventh Edition" is written for the beginning student pursuing a technical degree in Electronics Technology. In covering the fundamentals of electricity and electronics, this text focuses on essential topics for the technician, and the all-important development of testing and troubleshooting skills. This highly practical approach combines clear, carefully-laid-out explanations of key topics with good, worked-out examples and problems to solve. Review problems that follow each section reinforce the material just completed, making this a very student-friendly text. It is a thoroughly accessible introduction to basic DC and AC circuits and electronic devices. This eleventh edition of this longtime best-selling text has been refined, updated and made more student friendly. The focus on absolutely essential knowledge for technicians, and focus on real-world applications of these basic concepts makes it ideal for today's technology students.
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Basic Concepts in Relativity and Early Quantum Theory, 2 edition

Robert Resnick, "Basic Concepts in Relativity and Early Quantum Theory, 2 edition"
English | 1985 | ISBN: 0471888583 | 352 pages | PDF | 6 MB
A new edition of this introduction to modern physics, provides new material on the most recent experimental tests in relativity, and a fuller treatment of the space-time interval and the Kennedy-Thorndike experiment.

It treats the quantum theory of specific heats, with material on synchrotron radiation, a modernized treatment of the electron microscope and a preview of quantum mechanics. Features include additional historical, philosophical and biographical material reflecting important published research of the past decade, along with a significant expansion – nearly double – in the number of problems, thought questions and worked-out examples. The book also includes references, summary tables and illustrations.

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