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EBooks » Miscellaneous
107 pages | arXiv (March, 1990) | ISBN: N/A | PDF | 1.2 MB
We describe the modern approach to quantum cosmology, as initiated by Hartle and Hawking, Linde, Vilenkin and others. The primary aim is to explain how one determines the consequences for the late universe of a given quantum theory of cosmological initial or boundary conditions. It also includes a detailed treatment of the WKB interpretation.
202 pages | arXiv (February 14, 2006) | ISBN: N/A | PDF | 1.6 MB
Algebraic quantum field theory provides a general, mathematically precise description of the structure of quantum field theories, and then draws out consequences of this structure by means of various mathematical tools -- the theory of operator algebras, category theory, etc. This paper is a survey of AQFT, with an orientation towards foundational topics. In addition to covering the basics of the theory, we discuss issues related to nonlocality, the particle concept, the field concept, and inequivalent representations.
556 pages | BiblioBazaar (November 2009) | ISBN: 1117503526 | PDF | 1.4 MB
The history of mathematics is important as a valuable contribution to the history of civilization. Human progress is closely identified with scientific thought. Mathematical and physical researches are a reliable record of intellectual progress. The history of mathematics is one of the large windows through which the philosophic eye looks into past ages and traces the line of intellectual development.
161 pages | Lulu.com (December 23, 2009) | ISBN: N/A | PDF | 1 MB
This free online textbook is a first course in mathematical analysis aimed at students who do not necessarily wish to continue a graduate study in mathematics. A prerequisite for the course is a basic proof course. Covers the real number system, sequences and series, continuous functions, the derivative, the Riemann integral, and sequences of functions. Developed to teach Math 444 at University of Illinois at Urbana-Champaign.
264 pages | Ginn and company (1918) | ISBN: 1112324577 | PDF | 5.6 MB
The material included comprises the simpler and more important parts of plane trigonometry and analytic geometry, followed by an introduction to the differential calculus, including differentiation of the simpler algebraic functions and applications to problems of rates and maxima and minima.
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