space mathematics math problems based on space science dover books on aeronautical engineering

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Space Mathematics

Author : Bernice Kastner
ISBN : 9780486320830
Genre : Science
File Size : 29. 54 MB
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Created by NASA for high school students interested in space science, this collection of worked problems covers a broad range of subjects, including mathematical aspects of NASA missions, computation and measurement, algebra, geometry, probability and statistics, exponential and logarithmic functions, trigonometry, matrix algebra, conic sections, and calculus. In addition to enhancing mathematical knowledge and skills, these problems promote an appreciation of aerospace technology and offer valuable insights into the practical uses of secondary school mathematics by professional scientists and engineers. Geared toward high school students and teachers, this volume also serves as a fine review for undergraduate science and engineering majors. Numerous figures illuminate the text, and an appendix explores the advanced topic of gravitational forces and the conic section trajectories.

Mathematical Problems In Plasticity

Author : Roger Temam
ISBN : 9780486828275
Genre : Science
File Size : 39. 2 MB
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Three-part approach covers variational problems in plasticity theory, solution of the variational problems in the finite-energy spaces, and asymptotic problems and problems in the theory of plates. 1983 edition.

Optimal Control With Aerospace Applications

Author : James M Longuski
ISBN : 9781461489450
Genre : Technology & Engineering
File Size : 74. 73 MB
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Want to know not just what makes rockets go up but how to do it optimally? Optimal control theory has become such an important field in aerospace engineering that no graduate student or practicing engineer can afford to be without a working knowledge of it. This is the first book that begins from scratch to teach the reader the basic principles of the calculus of variations, develop the necessary conditions step-by-step, and introduce the elementary computational techniques of optimal control. This book, with problems and an online solution manual, provides the graduate-level reader with enough introductory knowledge so that he or she can not only read the literature and study the next level textbook but can also apply the theory to find optimal solutions in practice. No more is needed than the usual background of an undergraduate engineering, science, or mathematics program: namely calculus, differential equations, and numerical integration. Although finding optimal solutions for these problems is a complex process involving the calculus of variations, the authors carefully lay out step-by-step the most important theorems and concepts. Numerous examples are worked to demonstrate how to apply the theories to everything from classical problems (e.g., crossing a river in minimum time) to engineering problems (e.g., minimum-fuel launch of a satellite). Throughout the book use is made of the time-optimal launch of a satellite into orbit as an important case study with detailed analysis of two examples: launch from the Moon and launch from Earth. For launching into the field of optimal solutions, look no further!

Relativity For Scientists And Engineers

Author : Ray Skinner
ISBN : 9780486781365
Genre : Science
File Size : 64. 14 MB
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An ideal choice for undergraduate students of science and engineering, this book presents a thorough exploration of the basic concepts of relativity. The treatment provides more than the typical coverage of introductory texts, and it offers maximum flexibility since many sections may be used independently, in altered order, or omitted altogether. Numerous problems — most with hints and answers — make this volume ideal for supplementary reading and self-study. Nearly 300 diagrams illuminate the three-part treatment, which examines special relativity in terms of kinematics and introductory dynamics as well as general relativity. Specific topics include the speed of light, the relative character of simultaneity, the Lorentz transformation, the conservation of momentum and energy, nuclei and fundamental particles, the principle of equivalence and curved space-time, Einstein's equations, and many other topics.

Mathematical Economics

Author : Kelvin Lancaster
ISBN : 9780486653914
Genre : Mathematics
File Size : 73. 14 MB
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Complete, rigorous expositions of economic models analyzed primarily according to their mathematical properties. Optimizing theory, static and dynamic models, mathematical reviews, more.

Aerospace Engineering

Author :
ISBN : CORNELL:31924058348156
Genre : Aeronautics
File Size : 68. 16 MB
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Geometric Continuum Mechanics And Induced Beam Theories

Author : Simon R. Eugster
ISBN : 9783319164953
Genre : Technology & Engineering
File Size : 42. 81 MB
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This research monograph discusses novel approaches to geometric continuum mechanics and introduces beams as constraint continuous bodies. In the coordinate free and metric independent geometric formulation of continuum mechanics as well as for beam theories, the principle of virtual work serves as the fundamental principle of mechanics. Based on the perception of analytical mechanics that forces of a mechanical system are defined as dual quantities to the kinematical description, the virtual work approach is a systematic way to treat arbitrary mechanical systems. Whereas this methodology is very convenient to formulate induced beam theories, it is essential in geometric continuum mechanics when the assumptions on the physical space are relaxed and the space is modeled as a smooth manifold. The book addresses researcher and graduate students in engineering and mathematics interested in recent developments of a geometric formulation of continuum mechanics and a hierarchical development of induced beam theories.

The Geometry Of Ren Descartes

Author : René Descartes
ISBN : 9780486158174
Genre : Mathematics
File Size : 74. 93 MB
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The great work that founded analytical geometry. Includes the original French text, Descartes' own diagrams, and the definitive Smith-Latham translation. "The greatest single step ever made in the progress of the exact sciences." — John Stuart Mill.

Mathematical Handbook For Scientists And Engineers

Author : Granino A. Korn
ISBN : 9780486320236
Genre : Technology & Engineering
File Size : 82. 25 MB
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Convenient access to information from every area of mathematics: Fourier transforms, Z transforms, linear and nonlinear programming, calculus of variations, random-process theory, special functions, combinatorial analysis, game theory, much more.

Scientific And Technical Books In Print

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ISBN : UOM:39015035608390
Genre : Engineering
File Size : 51. 91 MB
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