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Numerical Analysis
Computational science is fundamentally changing how technological questions are addressed. The design of aircraft, automobiles, and even racing sailboats is now done by computational simulation. The mathematical foundation of this new approach is numerical analysis, which studies algorithms for computing expressions defined with real numbers. Emphasizing the theory behind the computation, this book provides a rigorous and self-contained introduction to numerical analysis and presents the advanced mathematics that underpin industrial software, including complete details that are missing from most textbooks. Using an inquiry-based learning approach, Numerical Analysis is written in a narrative...
An Introduction to Numerical Analysis
An introduction to numerical analysis combining rigour with practical applications, and providing numerous exercises plus solutions.
L.I. Mandelstam and His School in Physics
This biography of the famous Soviet physicist Leonid Isaakovich Mandelstam (1889–1944), who became a Professor at Moscow State University in 1925 and an Academician (the highest scientific title in the USSR) in 1929, describes his contributions to both physics and technology. It also discusses the scientific community that formed around him, commonly known as the Mandelstam School. By doing so, it places Mandelstam’s life story in its cultural context: the context of German University (until 1914), the First World War, the Civil War, and the development of the Socialist Revolution (until 1925) and the young socialist country. The book considers various general issues, such as the impact ...
The Organization and Order of Battle of Militaries in World War Ii
What started out as five books, is now eight. Book five being split into three books. This book represents the fifth of eight I plan to write. The series will contain: Volume I-Germany; Volume II-The British Commonwealth; Volume III-The United States; Volume IV-Japan; Volume V, Book A-Union of Soviet Socialist Republics; Volume V, Book B-Union of Soviet Socialist Republics; Volume VI-Germanys Allies (Bulgaria, Croatia, Finland, Hungary, Italy, Romania, Serbia, Slovakia) and the Neutral Nations (Portugal, Spain, Sweden, and Switzerland); and Volume VII-Other Nations at War (Albania, Belgium, Brazil, China, Czechoslovakia, Denmark, Estonia, France, Greece, Latvia, Lithuania, Luxembourg, Netherlands, Norway, Poland, Yugoslavia).
Mechanical Systems, Classical Models
All phenomena in nature are characterized by motion. Mechanics deals with the objective laws of mechanical motion of bodies, the simplest form of motion. In the study of a science of nature, mathematics plays an important rôle. Mechanics is the first science of nature which has been expressed in terms of mathematics, by considering various mathematical models, associated to phenomena of the surrounding nature. Thus, its development was influenced by the use of a strong mathematical tool. As it was already seen in the first two volumes of the present book, its guideline is precisely the mathematical model of mechanics. The classical models which we refer to are in fact models based on the Newtonian model of mechanics, that is on its five principles, i.e.: the inertia, the forces action, the action and reaction, the independence of the forces action and the initial conditions principle, respectively. Other models, e.g., the model of attraction forces between the particles of a discrete mechanical system, are part of the considered Newtonian model. Kepler’s laws brilliantly verify this model in case of velocities much smaller then the light velocity in vacuum.
