Mathematical Dissertations On a Variety of Physical and Analytical Subjects. Containing, Among Other Particulars, A Demonstration of the True Figure which the Earth, Or Any Planet Must Acquire from Its Rotation about an Axis. A General Investigation of the Attraction at the Surfaces of Bodies Nearly Spherical. A Determination of the Meridional Parts, and the Lengths of the Several Degrees of the Meridian, According to the True Figure of the Earth. An Investigation of the Height of the Tides in the Ocean. A New Theory of Astronomical-Refractions, with Exact Tables Deduced Therefrom. A New and Very Exact Method for Approximating the Roots of Equations in Numbers ; that Quintuples the Number of Places at Each Operation. Several New Methods for the Summation of Series. Some New and Very Useful Improvements in the Inverse Method of Fluxions. The Whole in a General and Perspicuous Manner. By Thomas Simpson

Mathematical Dissertations On a Variety of Physical and Analytical Subjects. Containing, Among Other Particulars, A Demonstration of the True Figure which the Earth, Or Any Planet Must Acquire from Its Rotation about an Axis. A General Investigation of the Attraction at the Surfaces of Bodies Nearly Spherical. A Determination of the Meridional Parts, and the Lengths of the Several Degrees of the Meridian, According to the True Figure of the Earth. An Investigation of the Height of the Tides in the Ocean. A New Theory of Astronomical-Refractions, with Exact Tables Deduced Therefrom. A New and Very Exact Method for Approximating the Roots of Equations in Numbers ; that Quintuples the Number of Places at Each Operation. Several New Methods for the Summation of Series. Some New and Very Useful Improvements in the Inverse Method of Fluxions. The Whole in a General and Perspicuous Manner. By Thomas Simpson

Author: Thomas Simpson

Publisher:

Published: 1743

Total Pages: 168

ISBN-13:

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Mars: An Introduction to its Interior, Surface and Atmosphere

Mars: An Introduction to its Interior, Surface and Atmosphere

Author: Nadine Barlow

Publisher: Cambridge University Press

Published: 2014-05-01

Total Pages: 0

ISBN-13: 9781107644878

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Our knowledge of Mars has changed dramatically in the past 40 years due to the wealth of information provided by Earth-based and orbiting telescopes, and spacecraft investigations. Recent observations suggest that water has played a major role in the climatic and geologic history of the planet. This textbook covers our understanding of the planet's formation, geology, atmosphere, interior, surface properties, and potential for life. This interdisciplinary textbook encompasses the fields of geology, chemistry, atmospheric sciences, geophysics, and astronomy. Each chapter introduces the necessary background information to help the non-specialist understand the topics explored. It includes results from missions through 2006, including the latest insights from Mars Express and the Mars Exploration Rovers. Containing the most up-to-date information on Mars, this textbook is essential reading for graduate courses, and an important reference for researchers.


Introduction to Geophysical Fluid Dynamics

Introduction to Geophysical Fluid Dynamics

Author: Benoit Cushman-Roisin

Publisher: Academic Press

Published: 2011-08-26

Total Pages: 850

ISBN-13: 0080916783

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Introduction to Geophysical Fluid Dynamics provides an introductory-level exploration of geophysical fluid dynamics (GFD), the principles governing air and water flows on large terrestrial scales. Physical principles are illustrated with the aid of the simplest existing models, and the computer methods are shown in juxtaposition with the equations to which they apply. It explores contemporary topics of climate dynamics and equatorial dynamics, including the Greenhouse Effect, global warming, and the El Nino Southern Oscillation. Combines both physical and numerical aspects of geophysical fluid dynamics into a single affordable volume Explores contemporary topics such as the Greenhouse Effect, global warming and the El Nino Southern Oscillation Biographical and historical notes at the ends of chapters trace the intellectual development of the field Recipient of the 2010 Wernaers Prize, awarded each year by the National Fund for Scientific Research of Belgium (FNR-FNRS)


Bulletin of the Atomic Scientists

Bulletin of the Atomic Scientists

Author:

Publisher:

Published: 1970-12

Total Pages: 104

ISBN-13:

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The Bulletin of the Atomic Scientists is the premier public resource on scientific and technological developments that impact global security. Founded by Manhattan Project Scientists, the Bulletin's iconic "Doomsday Clock" stimulates solutions for a safer world.


Theoretical Mechanics of Particles and Continua

Theoretical Mechanics of Particles and Continua

Author: Alexander L. Fetter

Publisher: Courier Corporation

Published: 2003-12-16

Total Pages: 596

ISBN-13: 0486432610

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This two-part text fills what has often been a void in the first-year graduate physics curriculum. Through its examination of particles and continua, it supplies a lucid and self-contained account of classical mechanics — which in turn provides a natural framework for introducing many of the advanced mathematical concepts in physics. The text opens with Newton's laws of motion and systematically develops the dynamics of classical particles, with chapters on basic principles, rotating coordinate systems, lagrangian formalism, small oscillations, dynamics of rigid bodies, and hamiltonian formalism, including a brief discussion of the transition to quantum mechanics. This part of the book also considers examples of the limiting behavior of many particles, facilitating the eventual transition to a continuous medium. The second part deals with classical continua, including chapters on string membranes, sound waves, surface waves on nonviscous fluids, heat conduction, viscous fluids, and elastic media. Each of these self-contained chapters provides the relevant physical background and develops the appropriate mathematical techniques, and problems of varying difficulty appear throughout the text.


Atmosphere, Ocean and Climate Dynamics

Atmosphere, Ocean and Climate Dynamics

Author: John Marshall

Publisher: Academic Press

Published: 1978-11-16

Total Pages: 345

ISBN-13: 0080954561

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For advanced undergraduate and beginning graduate students in atmospheric, oceanic, and climate science, Atmosphere, Ocean and Climate Dynamics is an introductory textbook on the circulations of the atmosphere and ocean and their interaction, with an emphasis on global scales. It will give students a good grasp of what the atmosphere and oceans look like on the large-scale and why they look that way. The role of the oceans in climate and paleoclimate is also discussed. The combination of observations, theory and accompanying illustrative laboratory experiments sets this text apart by making it accessible to students with no prior training in meteorology or oceanography. * Written at a mathematical level that is appealing for undergraduates and beginning graduate students * Provides a useful educational tool through a combination of observations and laboratory demonstrations which can be viewed over the web * Contains instructions on how to reproduce the simple but informative laboratory experiments * Includes copious problems (with sample answers) to help students learn the material.


Atmospheric and Oceanic Fluid Dynamics

Atmospheric and Oceanic Fluid Dynamics

Author: Geoffrey K. Vallis

Publisher: Cambridge University Press

Published: 2006-11-06

Total Pages: 772

ISBN-13: 1139459961

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Fluid dynamics is fundamental to our understanding of the atmosphere and oceans. Although many of the same principles of fluid dynamics apply to both the atmosphere and oceans, textbooks tend to concentrate on the atmosphere, the ocean, or the theory of geophysical fluid dynamics (GFD). This textbook provides a comprehensive unified treatment of atmospheric and oceanic fluid dynamics. The book introduces the fundamentals of geophysical fluid dynamics, including rotation and stratification, vorticity and potential vorticity, and scaling and approximations. It discusses baroclinic and barotropic instabilities, wave-mean flow interactions and turbulence, and the general circulation of the atmosphere and ocean. Student problems and exercises are included at the end of each chapter. Atmospheric and Oceanic Fluid Dynamics: Fundamentals and Large-Scale Circulation will be an invaluable graduate textbook on advanced courses in GFD, meteorology, atmospheric science and oceanography, and an excellent review volume for researchers. Additional resources are available at www.cambridge.org/9780521849692.


Dynamical Systems

Dynamical Systems

Author: Wang Sang Koon

Publisher: Springer

Published: 2011-06-01

Total Pages: 336

ISBN-13: 9780387495156

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This book considers global solutions to the restricted three-body problem from a geometric point of view. The authors seek dynamical channels in the phase space which wind around the planets and moons and naturally connect them. These low energy passageways could slash the amount of fuel spacecraft need to explore and develop our solar system. In order to effectively exploit these passageways, the book addresses the global transport. It goes beyond the traditional scope of libration point mission design, developing tools for the design of trajectories which take full advantage of natural three or more body dynamics, thereby saving precious fuel and gaining flexibility in mission planning. This is the key for the development of some NASA mission trajectories, such as low energy libration point orbit missions (e.g., the sample return Genesis Discovery Mission), low energy lunar missions and low energy tours of outer planet moon systems, such as a mission to tour and explore in detail the icy moons of Jupiter. This book can serve as a valuable resource for graduate students and advanced undergraduates in applied mathematics and aerospace engineering, as well as a manual for practitioners who work on libration point and deep space missions in industry and at government laboratories. the authors include a wealth of background material, but also bring the reader up to a portion of the research frontier.


Galactic Dynamics

Galactic Dynamics

Author: James Binney

Publisher: Princeton University Press

Published: 2011-10-30

Total Pages: 902

ISBN-13: 1400828724

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Since it was first published in 1987, Galactic Dynamics has become the most widely used advanced textbook on the structure and dynamics of galaxies and one of the most cited references in astrophysics. Now, in this extensively revised and updated edition, James Binney and Scott Tremaine describe the dramatic recent advances in this subject, making Galactic Dynamics the most authoritative introduction to galactic astrophysics available to advanced undergraduate students, graduate students, and researchers. Every part of the book has been thoroughly overhauled, and many sections have been completely rewritten. Many new topics are covered, including N-body simulation methods, black holes in stellar systems, linear stability and response theory, and galaxy formation in the cosmological context. Binney and Tremaine, two of the world's leading astrophysicists, use the tools of theoretical physics to describe how galaxies and other stellar systems work, succinctly and lucidly explaining theoretical principles and their applications to observational phenomena. They provide readers with an understanding of stellar dynamics at the level needed to reach the frontiers of the subject. This new edition of the classic text is the definitive introduction to the field. ? A complete revision and update of one of the most cited references in astrophysics Provides a comprehensive description of the dynamical structure and evolution of galaxies and other stellar systems Serves as both a graduate textbook and a resource for researchers Includes 20 color illustrations, 205 figures, and more than 200 problems Covers the gravitational N-body problem, hierarchical galaxy formation, galaxy mergers, dark matter, spiral structure, numerical simulations, orbits and chaos, equilibrium and stability of stellar systems, evolution of binary stars and star clusters, and much more Companion volume to Galactic Astronomy, the definitive book on the phenomenology of galaxies and star clusters