This book presents a comprehensive explanation of the main
ideas and principles of atomic and nuclear physics and quantum
mechanics.
The author invites readers to plunge into the physics of micro-objects
and to take a fascinating tour of the world of atoms and nuclei.
The main questions under consideration are the structure of
atoms, atomic nuclei, the substance and systematics of elementary
particles, the processes of the creation of atomic nuclei and the
evolution of stars as well as different applied aspects of the
physics of micro-objects.
Contents:
Quantum Mechanics
Fundamental Interactions
Structure of Atomic Nuclei
Radioactivity of Atomic Nuclei
Nuclear Reactions
Fission of Atomic Nuclei
Nuclear Astrophysics and Controlled Nuclear Fusion
Readership: Undergraduate and graduate students in physics,
chemistry and biophysics; general readers with an interest in
modern nuclear physics and related topics.
200pp Pub. date: 2005
ISBN 981-256-387-3
This book contains the proceedings of the Tenth International
Symposium on Particles, Strings and Cosmology. About 100
contributions, both theoretical and experimental, presented the
latest results in a broad range of topics in astrophysics and
cosmology, particle physics and string theory. Topics discussed
include reviews of the current status of dark matter; updated
experimental results on terrestrial, solar and astrophysical
neutrinos; ongoing progress at Fermilab, CERN and underground
detectors; electroweak physics; CP, CPT and Lorentz invariance
violation; SUSY phenomenology; string theory, string
phenomenology and extra dimensions.
A companion volume contains about twenty-five talks presented in
the Pran Nath Fest held during the symposium to honor Pran Nath
on the occasion of his 65th birthday. These talks, presented by
renowned theoretical physicists from Dick Arnowitt to Bruno
Zumino, cover the range of topics on which Pran Nath has worked
during his distinguished career, from supergravity and string
theory to CP violation and dark matter in the universe. Important
topics discussed in the Fest include review of precision neutrino
results, possible new physics from the muon g-2 results from
Brookhaven, evidence for neutrinoless double beta decay, collider
searches for supersymmetry, string theory and unification,
gravitational mediation of SUSY breaking in superstring theory,
extra-galactic sources of high energy neutrinos, and
phenomenology using lattice QCD.
Contents:
Relativistic Astrophysics and Cosmology
Dark Matter and Dark Energy
Neutrino Physics
Accelerator Experiments
Electroweak Physics
CP, CPT and Lorentz Invariance Violation
SUSY Phenomenology
String Theory, String Phenomenology, Extra Dimensions
Recent Theoretical Developments
Readership: High-energy and elementary-particle physicists,
astrophysicists, theoretical physicists, graduate students and
researchers in the field.
976pp Pub. date: Aug 2005
ISBN 981-256-479-9(set)
Series: Classics of Soviet Mathematics
ISBN: 0415298016
Publication Date: 7/25/2005
Number of Pages: 0
Contains Alexandrov's classic work originally published in Russian in 1948, supplemented by material that makes it of particular current interest
Provides a definitive source for the development of global surface theory
Deeply explores the intrinisic geometry of convex surfaces, including complete proofs of all theorems
Includes an in-depth treatment of the existence of surfaces with a given metric
Assumes no prior deep knowledge of differential geometry
A.D. Alexandrov is considered by many to be the father of intrinsic geometry. A two-volume set, A.D. Alexandrov Selected Works contains some of the most important papers by this renowned geometer. Volume 1 covers convex polyhedrons and closed surfaces, an elementary proof and extension of Minkowski's theorem, Riemannian geometry and a method for Dirichlet problems. Volume 2 covers general propositions on an intrinsic metric, angles and curvature, the existence of a convex polyhedron with prescribed metric, curves on convex surfaces, and the role of specific curvature. These monographs, published in English for the first time, will appeal to advanced students and researchers in mathematics and geometry.
Table of Contents
Volume 1: On infinitesimal bendings of nonregular surfaces. An elementary proof of the Minkowski and some other theorems on convex polyhedra. To the theory of mixed volumes of convex bodies. Part I: Extension of certain concepts of the theory of convex bodies. To the theory of mixed volumes of convex bodies. Part II: New inequalities for mixed volumes and their applications. To the theory of mixed volumes of convex bodies. Part III: Extension of two Minkowski theorems on convex polyhedra to all convex bodies. To the theory of mixed volumes of convex bodies. Part IV: Mixed discriminants and mixed volumes. A general uniqueness theorem for closed surfaces. On the area function of a convex body. Intrinsic geometry of an arbitrary convex surface. Existence of a convex polyhedron and a convex surface with given metric. On tiling a space with polyhedra. On a generalization of Riemannian geometry. The Dirichlet problem. A general method for dominating solutions of the Dirichlet problem. On the principles of relativity theory. Index.
Volume 2: Basic Concepts and Results. General Propositions about the Intrinsic Metric. Characteristic Properties of the Intrinsic Metric. Angle. Curvature. Existence of a Convex Polyhedron with a Given Metric. Existence of a Closed Convex Surface with a Given Metric. Other Existence Theorems. Curves on Convex Surfaces. Area. The Role of the Specific Curvature. Generalization. Appendix. Basic Facts of Convex Bodies.
ISBN: 0-471-76985-1
Paperback
673 pages
"This book is a comprehensive and clearly written text on multivariate analysis from a theoretical point of view."
---The Statistician
Aspects of Multivariate Statistical Theory presents a classical mathematical treatment of the techniques, distributions, and inferences based on multivariate normal distribution. Noncentral distribution theory, decision theoretic estimation of the parameters of a multivariate normal distribution, and the uses of spherical and elliptical distributions in multivariate analysis are introduced. Advances in multivariate analysis are discussed, including decision theory and robustness. The book also includes tables of percentage points of many of the standard likelihood statistics used in multivariate statistical procedures. This definitive resource provides in-depth discussion of the multivariate field and serves admirably as both a textbook and reference.
Table of Contents
Tables.
Commonly Used Notation.
1. The Multivariate Normal and Related Distributions.
2. Jacobians, Exterior Products, Kronecker Products, and Related Topics.
3. Samples from a Multivariate Normal Distribution, and the Wishart and Multivariate BETA Distributions.
4. Some Results Concerning Decision-Theoretic Estimation of the Parameters of a Multivariate Normal Distribution.
5. Correlation Coefficients.
6. Invariant Tests and Some Applications.
7. Zonal Polynomials and Some Functions of Matrix Argument.
8. Some Standard Tests on Covariance Matrices and Mean Vectors.
9. Principal Components and Related Topics.
10. The Multivariate Linear Model.
11. Testing Independence Between k Sets of Variables and Canonical Correlation Analysis.
Appendix: Some Matrix Theory.
Bibliography.
Index.