Senior/Graduate level text covering numerical methods used to solve ordinary and partial differential equations in science and engineering. Emphasis is on problem-solving as a means of gaining a deeper understanding of the fundamental concepts. Not a cookbook of formulas. Topics include an introduction to partial differential equations, finite difference method, finite element approximations, design of numerical approximations, and analytical tools. Includes review of linear algebra.

Numerical Methods for Differential Equations: Fundamental Concepts for Scientific and Engineering Applications

Computers & Technology

Gray, William G.

Celia, Michael Anthony

Computer Science

Pearson College Div

Learn the fundamental concepts that underlie the physics of multiphase flow and transport in porous media with the information in Essentials of Multiphase Flow in Porous Media, which demonstrates the mathematical-physical ways to express and address multiphase flow problems. Find a logical, step-by-step introduction to everything from the simple concepts to the advanced equations useful for addressing real-world problems like infiltration, groundwater contamination, and movement of non-aqueous phase liquids. Discover and apply the governing equations for application to these and other problems in light of the physics that influence system behavior.

Essentials of Multiphase Flow and Transport in Porous Media

Science & Math

Pinder, George F.

Physics

Wiley-Interscience

The Ladder of Lights by William G. Gray, considered a classic in its field, is an outstanding study of the Kabbalistic Tree of Life. “.....the most original commentary on basic Kabbalistic knowledge that I have read for God knows how many years.” — Israel Regardie “......beautifully presented and set in excellent marching order.....For one new to the subject, this is a fine text and an exceptionally lucid introduction to a veiled and meditative lore which is still being enlarged from year to year.” — Max Freedom Long (Huna Vistas)

The Ladder of Lights

Religion & Spirituality

Judaism

lulu.com

An Outlook on Our Inner Western Way

New Age & Spirituality

This compendium comprises six Kabbalistic works by William G. Gray, some of which are appearing here in print for the first time. The texts included in this compilation are ranging from the simplest introduction to the Spheres and Paths of the Kabbalistic Tree of Life system, to related meditation techniques and associated ritual magical procedures, to an advanced system of what could be termed "inter-dimensional spiritual communication." The title "A BEGINNERS GUIDE TO LIVING KABBALAH" is perhaps somewhat misleading, as this compilation equally contains works of an advanced nature, and the ritual and meditation techniques addressed in this tome, pertain to both beginners as well as advanced practitioners of "Practical Kabbalah."

A Beginners Guide to Living Kabbalah

The Sangreal Sodality Press

Throughout the ages, the workings of magical ritual have been shrouded in secrecy. This was not altogether intentional, since how can mere description of the purely physical aspects of ritualism possibly convey its deep significance? Knowing this, practitioners of magical rites have maintained silence or given such vague descriptions of their activities that little practical use can be made of them. "Magical Ritual Methods" is a now a classical guidebook, intended for Western Students on the path of spiritual consciousness. In this work William G. Gray pulls all the "how's" and "why's" of ceremonial magic together in one volume and provides the student with practical means for its proper operation and study. People are drawn toward ritual practice because it fulfills a need on a deep spiritual level that nothing else will fill. William Gray shows us how to arrange and direct our own studies, and gives us the basics to make magical ritual work for us, to extend our human consciousness toward Truth and Light.

Magical Ritual Methods

Occult & Paranormal

In this fascinating book William G. Gray, the renowned English Kabbalist and Ceremonial Magician, delineated some of the lessons he learned from the letters which passed between himself and the Martinist, Emil Napoleon Hauenstein, his Austrian mentor and friend, whom he affectionately referred to as "E.N.H.," and who classified himself a "mystic." Hauenstein was an "Initiate" of the well-known French Occultist Papus (Gerard Encausse). He addressed important psycho-spiritual occult principles and doctrines in his letters, and since "Occultism is the study and practice of subjects and laws which are beyond the bounds and limitations of ordinary physical or even mental experience," he directed his young protegé in unfolding a well-regulated "Self," who is in full control of all his personal faculties. This is of particular importance in understanding, as William Gray noted, that "Occultism is not a pastime, it is a Power, a Purpose, a Progress, and a Path"-a Way of Life!

Lessons Learned from Occult Letters

Using newly available material from both sides of the Iron Curtain, William Glenn Gray explores West Germany's efforts to prevent international acceptance of East Germany as a legitimate state following World War II. Unwilling to accept the division of their country, West German leaders regarded the German Democratic Republic (GDR) as an illegitimate upstart--a puppet of the occupying Soviet forces. Together with France, Britain, and the United States, West Germany applied political and financial pressure around the globe to ensure that the GDR remain unrecognized by all countries outside the communist camp. Proclamations of ideological solidarity and narrowly targeted bursts of aid gave the GDR momentary leverage in such diverse countries as Egypt, Iraq, Ghana, and Indonesia; yet West Germany's intimidation tactics, coupled with its vastly superior economic resources, blocked any decisive East German breakthrough. Gray argues that Bonn's isolation campaign was dropped not for want of success, but as a result of changes in West German priorities as the struggle against East Germany came to hamper efforts at reconciliation with Israel, Poland, and Yugoslavia--all countries of special relevance to Germany's recent past. Interest in a morally grounded diplomacy, together with the growing conviction that the GDR could no longer be ignored, led to the abandonment of Bonn's effective but outdated efforts to hinder worldwide recognition of the East German regime.

Germany's Cold War: The Global Campaign to Isolate East Germany, 1949-1969

History

Africa

Univ of North Carolina Pr

Mathematical Tools for Changing Scale in the Analysis of Physical Systems presents a new systematic approach to changing the spatial scale of the differential equations describing science and engineering problems. It defines vectors, tensors, and differential operators in arbitrary orthogonal coordinate systems without resorting to conceptually difficult Riemmann-Christoffel tensor and contravariant and covariant base vectors. It reveals the usefulness of generalized functions for indicating curvilineal, surficial, or spatial regions of integration and for transforming among these integration regions. These powerful mathematical tools are harnessed to provide 128 theorems in tabular format (most not previously available in the literature) that transform time-derivative and del operators of a function at one scale to the corresponding operators acting on the function at a larger scale. Mathematical Tools for Changing Scale in the Analysis of Physical Systems also provides sample applications of the theorems to obtain continuum balance relations for arbitrary surfaces, multiphase systems, and problems of reduced dimensionality. The mathematical techniques and tabulated theorems ensure the book will be an invaluable analysis tool for practitioners and researchers studying balance equations for systems encountered in the fields of hydraulics, hydrology, porous media physics, structural analysis, chemical transport, heat transfer, and continuum mechanics.

Mathematical Tools for Changing Scale in the Analysis of Physical Systems

Leijnse, Anton

Kolar, Randall L.

Blain, Cheryl A.

Mathematics

CRC-Press

Discusses the continuing relevance of seasonal occult rituals in modern society. Contents: Seasonal Rituals; The Rite of Spring; The Rite of Summer; The Rite of Autumn; The Rite of Winter; The Sense of the Ceremonies; Opening and Closing A Rite.

Seasonal Occult Rituals

The Aquarian Press

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Books by Gray, William G.