# Orthogonal Sets and Polar Methods in Linear Al.

BOOKS
MATHEMATICS

1.
Enrique Castillo
Orthogonal Sets and Polar Methods in Linear Algebra by Enrique Castillo

A unique, applied approach to problem solving in linear algebra. Departing from the standard methods of analysis, this unique book presents methodologies and algorithms based on the concept of orthogonality and demonstrates their application to both standard and novel problems in linear algebra. Covering basic theory of linear systems, linear inequalities, and linear programming, it focuses on elegant, computationally simple solutions to real-world physical, economic, and engineering problems. The authors clearly explain the reasons behind the analysis of different structures and concepts and use numerous illustrative examples to correlate the mathematical models to the reality they represent.

2.
G. C. Wen
Linear and Nonlinear Parabolic Complex Equations

This study deals mainly with linear and nonlinear parabolic equations and systems of second order. It first transforms the real forms of parabolic equations and systems into complex forms, and then discusses several initial boundary value problems and Cauchy problems for quasilinear and nonlinear parabolic complex equations of second order with smooth coefficients or measurable coefficients. Parabolic complex equations are discussed in the nonlinear case and the boundary conditions usually include the initial irregular oblique derivative. The boundary value problems are considered in multiply connected domains and several methods are used.

3.
Alessandro Gandini
Polymers from Plant Oils

This book provides an update on the field of polymers derived from vegetable oils. It highlights the remarkable progress achieved in all aspects of the discipline over the last decade, ranging from direct exploitation of triglycerides to their conversion into novel monomeric species and their polymerisation (including the properties and potential applications of the ensuing materials). After a general introduction that ‘sets the stage’ for better understanding of the various strategies and mechanist approaches, each one of them is discussed in detail in the appropriate chapter. Rather than attempting an uncritical comprehensive coverage of the large body of recent published work, the book purposely focuses on the originality of several systems in which novel mechanisms are being explored successfully (e.g., application of the thiol-ene reaction, metathesis, and Diels-Alder reactions to oils and their derivatives). Additional emphasis is placed on straightforward and technically viable processes that call upon utilisation of readily available precursors. The other important aspect of this book relates to the properties of the different materials: thermal transitions and stability; mechanical performances; biodegradability; aptitude for further chemical modification; readiness to form blends and composites. Readers who should find this book useful include polymer scientists and engineers working in academic and industrial sectors, as well as vegetable-oil chemists and researchers involved in the broader sustainability of exploitation of renewable resources, ‘green’ chemistry and implementation of bio-refineries.

4.
Daniel Bes
Quantum Mechanics: A Modern and Concise Introductory Course (3rd edition)

Starting from basic principles, the book covers a wide variety of topics, ranging from Heisenberg, Schroedinger, second quantization, density matrix and path integral formulations of quantum mechanics, to applications that are (or will be) corner stones of present and future technologies. The emphasis is on spin waves, quantum information, recent tests of quantum physics and decoherence. The book provides a large amount of information without unbalancing the flow of the main ideas by laborious detail.

5.
Arthur N. Cox
Allen’s Astrophysical Quantities (4th edition)

This new, fourth, edition of Allen’s classic Astrophysical Quantities belongs on every astronomer’s bookshelf. It has been thoroughly revised and brought up to date by a team of more than ninety internationally renowned astronomers and astrophysicists. While it follows the basic format of the original, this indispensable reference has grown to more than twice the size of the earlier editions to accommodate the great strides made in astronomy and astrophysics. It includes detailed tables of the most recent data on: – General constants and units – Atoms, molecules, and spectra – Observational astronomy at all wavelengths from radio to gamma-rays, and neutrinos – Planetary astronomy: Earth, planets and satellites, and solar system small bodies – The Sun, normal stars, and stars with special characteristics – Stellar populations – Cataclysmic and symbiotic variables, supernovae – Theoretical stellar evolution – Circumstellar and interstellar material – Star clusters, galaxies, quasars, and active galactic nuclei – Clusters and groups of galaxies – Cosmology. As well as much explanatory material and extensive and up-to-date bibliographies.

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