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Intermediate Probability: A Computational Approach
By Marc Paolella


Publisher: Wiley-Interscience
Number Of Pages: 430
Publication Date: 2007-10-22
ISBN-10 / ASIN: 0470026375
ISBN-13 / EAN: 9780470026373
Binding: Hardcover

Type: PDF
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Size: 3.23 MB
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Stephen Wolfram , "A New Kind of Science"
Wolfram Media; 1 edition (May 14, 2002) | ISBN: 1579550088 | PDF | 87 Mb | 1192 pages

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Peter B. Gilkey, " The Geometry of Curvature Homogeneous Pseudo-riemannian Manifolds "
Imperial College Press (April 26, 2007) | ISBN:1860947859 | 388 pages | PDF | 1,7 Mb

Pseudo-Riemannian geometry is an active research field not only in


differential geometry but also in mathematical physics where the higher signature geometries play a role in brane theory. An essential reference tool for research mathematicians and physicists, this book also serves as a useful introduction to students entering this active and rapidly growing field. The author presents a comprehensive treatment of several aspects of pseudo-Riemannian geometry, including the spectral geometry of the curvature tensor, curvature homogeneity, and Stanilov Tsankov Videv theory.
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Abbas Bahri, Yongzhong Xu, "Recent Progress in Conformal Geometry"
Imperial College Press; 1 edition (April 5, 2007) | ISBN:1860947727 | 524 pages | PDF | 3,5 Mb


This book presents a new front of research in conformal geometry, on sign-changing Yamabe-type problems and contact form geometry in particular. New ground is broken with the establishment of a Morse lemma at infinity for sign-changing Yamabe-type problems. This family of problems, thought to be out of reach a few years ago, becomes a family of problems which can be studied: the book lays the foundation for a program of research in this direction. In contact form geometry, a cousin of symplectic geometry, the authors prove a fundamental result of compactness in a variational problem on Legrendrian curves, which allows one to define a homology associated to a contact structure and a vector field of its kernel on a three-dimensional manifold. The homology is invariant under deformation of the contact form, and can be read on a sub-Morse complex of the Morse complex of the variational problem built with the periodic orbits of the Reeb vector-field. This book introduces, therefore, a practical tool in the field, and this homology becomes computable.

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John L. Bell, "Set Theory : Boolean-Valued Models and Independence Proofs"
Publisher:Oxford University Press, USA | Pages: 232 | ISBN: 0198568525 | PDF | 10 Mb

This monograph is a follow up to the author's classic text iBoolean-Valued Models and Independence Proofs in Set Theory/i, providing an exposition of some of the most important results in set theory obtained in the 20th century--the independence of the continuum hypothesis and the axiom of choice. Aimed at research students and academics in mathematics, mathematical logic, philosophy, and computer science, the text has been extensively updated with expanded introductory material, new chapters, and a new appendix on category theory, and includes recent developments in the field. Numerous exercises, along with the enlarged and entirely updated background material, make this an ideal text for students in logic and set theory.

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Percival Frost; Joseph Wolstenholme; "A Treatise on Solid Geometry"
Publisher: Adamant Media Corporation | Pages: 506 | ISBN: 140217098X | PDF | 11 MB

This Elibron Classics book is a facsimile reprint of a 1863 edition by Macmillan and Co., Cambridge - London.

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Gordon Fuller, "Analytic Geometry"
ADDISON-WESLEY PUBLISHING COMPANY | ISBN: 0201222299 | Pages: 219 | PDF | 7.7 Mb

In recent years there has been a marked tendency in college mathematics programs toward an earlier and more intensive use of the methods of calculus. This change is made in response to the fact that college students are faced with more and more applications of mathematics in engineering, physics, chemistry, and other fields. There is a pressing need for a working knowledge of calculus as early as possible. Consequently many teachers are making a close scrutiny of the traditional topics of freshman mathematics. This is done in an effort to determine the material and emphasis which will lay the best foundation for the study of calculus. In the light of present needs, this analytic geometry is planned primarily as a preparation for calculus. With this end in mind, a few of the usual topics are not included and certain others are treated with brevity. The omitted material, consisting of an appreciable amount of the geometry of circles and a number of minor items, is not essential to the study of calculus. The time saved by cutting traditional material provides opportunity for emphasizing the necessary basic principles and for introducing new concepts which point more directly toward the calculus.


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Peter Brass, William O.J. Moser, János Pach, "Research Problems in Discrete Geometry"
Publisher: Springer | Pages: 499 | ISBN : 0387238158 | PDF | 5.1 Mb


Although discrete geometry has a rich history extending more than 150 years, it abounds in open problems that even a high-school student can understand and appreciate. Some of these problems are notoriously difficult and are intimately related to deep questions in other fields of mathematics. But many problems, even old ones, can be solved by a clever undergraduate or a high-school student equipped with an ingenious idea and the kinds of skills used in a mathematical olympiad.

Research Problems in Discrete Geometry is the result of a 25-year-old project initiated by the late Leo Moser. It is a collection of more than 500 attractive open problems in the field. The largely self-contained chapters provide a broad overview of discrete geometry, along with historical details and the most important partial results related to these problems. This book is intended as a source book for both professional mathematicians and graduate students who love beautiful mathematical questions, are willing to spend sleepless nights thinking about them, and who would like to get involved in mathematical research.

Important features include:

* More than 500 open problems, some old, others new and never before published;

* Each chapter divided into self-contained sections, each section ending with an extensive bibliography;

* A great selection of research problems for graduate students looking for a dissertation topic;

* A comprehensive survey of discrete geometry, highlighting the frontiers and future of research;

* More than 120 figures;

* A preface to an earlier version written by the late Paul Erdos.


Peter Brass is Associate Professor of Computer Science at the City College of New York. William O. J. Moser is Professor Emeritus at McGill University. Janos Pach is Distinguished Professor at The City College of New York, Research Professor at the Courant Institute, NYU, and Senior Research Fellow at the Rényi Institute, Budapest.

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Advanced Engineering Mathematics (Applied Mathematics)
By Dean G. Duffy | CRC Press | ISBN:0849378540 | 656 Pages | PDF | 18 MB

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