Books about Derivation from Amazon.com

This pioneering text provides an excellent introduction to CFD at the senior level in aerospace and mechanical engineering, and to some extent, chemical and civil engineering. It can also serve as a one-semester introductory course at the beginning graduate level, as a useful precursor to a more serious study of CFD in advanced books. It is presented in a very readable, informal, enjoyable style..
Price: $138.23 [Notify me when price goes down.]

A quick reference tool for derivations of the English language.
A derivation gives a fuller understanding of a word by telling how a word has changed from its original form to become what it means today. For example, the word amphibian comes from a Greek word meaning "living a double life." Help your students gain mastery of English and a greater appreciation of words through understanding the history of many words they might look up in the dictionary. Since the derivations in many dictionaries are difficult for younger readers to follow, The Heron Derivation Dictionary was written as a tool for students ages 12-14, and provides derivations for approximately 11,450 commonly used words. The dictionary has been found to be very useful not only with that age group, but with older students who are interested in derivations. Also included in the dictionary is a brief history of the English language, information on common symbols and terms found in dictionary derivations, and a glossary of terms..
Price: $19.99 [Notify me when price goes down.]

Geographic books routinely introduce map projections without providing mathematical explanations of projections and few delve into complex mathematical development or cover the breadth of projections. From basic projecting to advanced transformations, Cartographic Science: A Compendium of Map Projections, with Derivations is a comprehensive reference that offers an explanation of the science of cartography. The book is a compilation of more than a hundred map projections, from classic conics to contemporary transformations using complex variables. Starting from widely described geometric projecting onto flat paper, cylinder, and cone and then progressing through several layers of mathematics to reach modern projections, the author maximizes the application of one layer of complex mathematics before continuing on to the next. He also supplies numerous one-page tutorials that review terms and methodologies, helping minimize the challenges of unfamiliar mathematical territory. Divided into four parts, the first section examines the shape and size of the Earth, then proceeds to investigate the means for relating the curved surface to a flat surface, and addresses scaling. It goes on to cover pertinent principles of projection including literal projecting, true but synthetic projections, secantal projections, pseudocylindrical projections, and pseudoconical projections, as well as the other variants of more serious projections. The book concludes by looking at factors influencing Mean Sea Level and notes the cartographic aspects of current developments. Cartographic Science: A Compendium of Map Projections, with Derivations explains the mathematical development for a large range of projections within a framework of the different cartographic methodologies. This carefully paced book covers more projections, with gentle and progressive immersion in the mathematics involved, than any other book of its kind..
Price: $63.94 [Notify me when price goes down.]

A general approach to the derivation of equations of motion of as holonomic, as nonholonomic systems with the constraints of any order is suggested The system of equations of motion in the generalized coordinates is regarded as a one vector relation, represented in a space tangential to a manifold of all possible positions of system at given instant. The tangential space is partitioned by the equations of constraints into two orthogonal subspaces. In one of them for the constraints up to the second order, the motion low is given by the equations of constraints and in the other one for ideal constraints, it is described by the vector equation without reactions of connections. In the whole space the motion low involves Lagrangian multipliers. It is shown that for the holonomic and nonholonomic constraints up to the second order, these multipliers can be found as the function of time, positions of system, and its velocities. The application of Lagrangian multipliers for holonomic systems permits us to construct a new method for determining the eigenfrequencies and eigenforms of oscillations of elastic systems and also to suggest a special form of equations for describing the system of motion of rigid bodies. The nonholonomic constraints, the order of which is greater than two, are regarded as programming constraints such that their validity is provided due to the existence of generalized control forces, which are determined as the functions of time. The closed system of differential equations, which makes it possible to find as these control forces, as the generalized Lagrange coordinates, is compound. The theory suggested is illustrated by the examples of a spacecraft motion. The book is primarily addressed to specialists in analytic mechanics.

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Price: $136.05 [Notify me when price goes down.]

1. We show that tachyons exist within Black Holes. 2. We extend Special Relativity to include left-handed (Superluminal) transformations to reference frames moving at relative velocities greater than the speed of light. This set of transformations forms a group that includes the Lorentz group as an invariant subgroup. The speed of light does not change under the transformations of this group. We find new features in frames moving at a relative speed greater than the speed of light such as length dilation, time contraction, and tachyons decaying into more massive tachyons - "reverse fission." 3. Using the (Superluminal) transformations of this enlarged group we are able to define tachyons of half-integer or integer spin. We show these tachyons are local and satisfy canonical commutation relations in light-front coordinates (the "infinite momentum" frame). Thus a standard quantization procedure is possible and a conventional light-front perturbation theory can be constructed. 4. Free spin ½ tachyons violate parity and CPT but do not violate C or T invariance. 5. The requirement of Left-handed Extended Lorentz group covariance implies an extended Dirac equation for spin ½ particles with doublets of spin ½ particles: a Dirac particle and a tachyon. We identify neutrinos with tachyon members of lepton doublets, and "d-type" quarks with tachyon members of quark doublets. 6. Further considerations lead to most features of the Standard Model for one generation of leptons and quarks. Thus the general form of the Standard Model, including a rationale for the form of parity violation, SU(2)?U(1), and left-handed doublets and right-handed singlets, is derived. 7. The theory requires quark confinement. The theory does not explain the existence of three generations or the mixing of generations. SU(3) is found to be the minimal symmetry group of the strong interaction if spin ½ baryon bound states are to exist..
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