A First Course in Mechanics

Author: Mary Lunn

Publisher: OUP Oxford

ISBN: 9780198534334

Category: Science

Page: 204

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This textbook provides a simple introduction to mechanics for students coming to the subject for the first time. The text is based on courses given to first and second year undergraduates and has been written with this audience in mind. Prerequisites are only a basic familiarity with vectors, matrices, and elementary calculus. The author's aim is to provide an understanding of Newtonian mechanics using the tools of modern algebra. The text is illustrated throughout with many worked examples, and numerous exercises (some with solutions) are provided.

The Princeton Companion to Applied Mathematics

Author: Nicholas J. Higham

Publisher: Princeton University Press

ISBN: 1400874475

Category: Mathematics

Page: 1016

View: 4140

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This is the most authoritative and accessible single-volume reference book on applied mathematics. Featuring numerous entries by leading experts and organized thematically, it introduces readers to applied mathematics and its uses; explains key concepts; describes important equations, laws, and functions; looks at exciting areas of research; covers modeling and simulation; explores areas of application; and more. Modeled on the popular Princeton Companion to Mathematics, this volume is an indispensable resource for undergraduate and graduate students, researchers, and practitioners in other disciplines seeking a user-friendly reference book on applied mathematics. Features nearly 200 entries organized thematically and written by an international team of distinguished contributors Presents the major ideas and branches of applied mathematics in a clear and accessible way Explains important mathematical concepts, methods, equations, and applications Introduces the language of applied mathematics and the goals of applied mathematical research Gives a wide range of examples of mathematical modeling Covers continuum mechanics, dynamical systems, numerical analysis, discrete and combinatorial mathematics, mathematical physics, and much more Explores the connections between applied mathematics and other disciplines Includes suggestions for further reading, cross-references, and a comprehensive index

Under Ancient Skies

Ancient Astronomy and Terrestrial Catastrophism

Author: Paul Dunbavin

Publisher: Third Millennium Publishing

ISBN: 0952502925

Category: Nature

Page: 287

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In all of the world’s myths and religions we find traditions of a Great Flood. There are stories too of a Golden Age: the antediluvian paradise that it destroyed. Might these be real memories of the ancient world? And how can we analyze the subject scientifically? The key to unlock these ancient myths lies in astronomy. Under Ancient Skies will examine the astronomical evidence for a prehistoric cataclysm and in the process will explore a number of related anomalies in prehistory, including: • Was there a single great flood in human prehistory, or have there been many? • Could the workings of ancient calendars and the records of ancient eclipses give us clues about the Flood and the antediluvian world? • Did the Celtic Druids use a calendar based on the orbit of Saturn; and is this the same antediluvian calendar that is described in Plato’s myth of Atlantis? • Do Hindu, Chinese and Mayan cosmology myths recall the years after the Flood when our world wobbled on its axis? • Did these same events trigger the building of astronomically aligned monuments such as Stonehenge and the pyramids? • Was the Atenist religion of the heretic Egyptian Pharaoh Akhenaten inspired by a series of eclipses during his lifetime? • Do the seven good years and the seven bad years of the Joseph story recall a time when a comet struck the Earth? • Did the British Druids use astronomy to calculate the size of the Earth; and could they have used this knowledge to navigate to America? • Why were the ancient Celts so afraid that the sky would one day fall on their heads? • Are comets and asteroids the only danger lurking in the cosmos – or could there be other dangers as yet unknown to science? In 1994 we watched as a comet struck the giant planet Jupiter. Geologists have recently discovered the crater in Yucatan, where an asteroid impact destroyed the world of the dinosaurs. Scientists and astronomers have stopped dismissing the theory that asteroids and comets could have struck the Earth during prehistory – but any suggestion that a comet impact just a few thousand years ago might have caused the Biblical Flood, remains the last taboo. It is time for this prejudice too, to be washed away. The reader is promised 'a real book: a fully referenced textbook with original content in every chapter and a bibliography of over 300 sources, If you have read Paul Dunbavin's other books then you will know what to expect. First published in 2005 and for a long time out of print, this new edition will make the author's unique research available again to anyone who is interested in mythology, astronomy and ancient mysteries. Now also available in Kindle hard and soft editions.

The Rational Spirit in Modern Continuum Mechanics

Essays and Papers Dedicated to the Memory of Clifford Ambrose Truesdell III

Author: Chi-Sing Man,Roger L. Fosdick

Publisher: Springer Science & Business Media

ISBN: 1402023081

Category: Technology & Engineering

Page: 808

View: 2503

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Through his voluminous and in?uential writings, editorial activities, organi- tional leadership, intellectual acumen, and strong sense of history, Clifford - brose Truesdell III (1919–2000) was the main architect for the renaissance of - tional continuum mechanics since the middle of the twentieth century. The present collection of 42 essays and research papers pays tribute to this man of mathematics, science, and natural philosophy as well as to his legacy. The ?rst ?ve essays by B. D. Coleman, E. Giusti, W. Noll, J. Serrin, and D. Speiser were texts of addresses given by their authors at the Meeting in memory of Clifford Truesdell, which was held in Pisa in November 2000. In these essays the reader will ?nd personal reminiscences of Clifford Truesdell the man and of some of his activities as scientist, author, editor, historian of exact sciences, and principal founding member of the Society for Natural Philosophy. The bulk of the collection comprises 37 research papers which bear witness to the Truesdellian legacy. These papers cover a wide range of topics; what ties them together is the rational spirit. Clifford Truesdell, in his address upon receipt of a Birkhoff Prize in 1978, put the essence of modern continuum mechanics succinctly as “conceptual analysis, analysis not in the sense of the technical term but in the root meaning: logical criticism, dissection, and creative scrutiny.

Physical Hydrodynamics

Author: Etienne Guyon,Jean-Pierre Hulin,Catalin D. Mitescu,Luc Petit

Publisher: Oxford University Press

ISBN: 0198702442

Category: Science

Page: 544

View: 699

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This second edition of Physical Hydrodynamics is a deeply enriched version of a classical textbook on fluid dynamics. It retains the same pedagogical spirit, based on the authors' experience of teaching university students in the physical sciences, and emphasizes an experimental (inductive) approach rather than the more formal approach found in many textbooks in the field. Today the field is more widely open to other experimental sciences: materials,environmental, life, and earth sciences, as well as the engineering sciences. Representative examples from these fields have been included where possible, while retaining a general presentation in each case.

Large Strain Finite Element Method

A Practical Course

Author: Antonio Munjiza,Earl E. Knight,Esteban Rougier

Publisher: John Wiley & Sons

ISBN: 1118535804

Category: Mathematics

Page: 488

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An introductory approach to the subject of large strains andlarge displacements in finite elements. Large Strain Finite Element Method: A Practical Course,takes an introductory approach to the subject of large strains andlarge displacements in finite elements and starts from the basicconcepts of finite strain deformability, including finite rotationsand finite displacements. The necessary elements of vector analysisand tensorial calculus on the lines of modern understanding of theconcept of tensor will also be introduced. This book explains how tensors and vectors can be describedusing matrices and also introduces different stress and straintensors. Building on these, step by step finite element techniquesfor both hyper and hypo-elastic approach will be considered. Material models including isotropic, unisotropic, plastic andviscoplastic materials will be independently discussed tofacilitate clarity and ease of learning. Elements of transientdynamics will also be covered and key explicit and iterativesolvers including the direct numerical integration, relaxationtechniques and conjugate gradient method will also be explored. This book contains a large number of easy to followillustrations, examples and source code details that facilitateboth reading and understanding. Takes an introductory approach to the subject of large strainsand large displacements in finite elements. No prior knowledge ofthe subject is required. Discusses computational methods and algorithms to tackle largestrains and teaches the basic knowledge required to be able tocritically gauge the results of computational models. Contains a large number of easy to follow illustrations,examples and source code details. Accompanied by a website hosting code examples.

Klassische Mechanik

Author: Herbert Goldstein,Charles P. Poole, Jr.,John L. Safko, Sr.

Publisher: John Wiley & Sons

ISBN: 3527662073

Category: Science

Page: 700

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Der Goldstein gehört zu den Standardwerken für die Vorlesung in Klassischer Mechanik, die Pflichtvorlesung und Teil des Theorie-Lehrplans jedes Physik-Studienganges ist. Für diese aktuelle Ausgabe haben Charles Poole und John Safko die Texte überarbeitet und neueste Themen, Anwendungen und Notationen eingearbeitet und sind damit auf moderne Trends in der Theoretischen Mechanik eingegangen. Neue numerische Übungen verhelfen den Studenten zur Fähigkeit, Computeranwendungen für die Lösung von Physikproblemen zu benutzen. Mathematische Techniken werden detailliert eingeführt, so daß der Text auch für Studenten ohne den entsprechenden Hintergrund der Theoretischen Mechanik verständlich ist.

Geometric Continuum Mechanics and Induced Beam Theories

Author: Simon R. Eugster

Publisher: Springer

ISBN: 3319164953

Category: Technology & Engineering

Page: 146

View: 7319

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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.

Field Propulsion System for Space Travel

Physics of Non-Conventional Propulsion Methods for Interstellar Travel

Author: Takaaki Musha,Yoshinari Minami

Publisher: Bentham Science Publishers

ISBN: 1608052702

Category: Technology & Engineering

Page: 150

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This e-book presents an overview of field propulsion systems for the use of space travel and interstellar travel. Such systems include warp drive and antigravity schemes, and rely on momentum transfer from the spacecraft to the external force field and from there to other masses in the cosmos in order to satisfy conservation of momentum. This cannot be achieved by the conventional methods like chemical propulsion and electric propulsion. the e-book should be a valuable source of information for researchers interested in spaceflight and propulsion physics.

The Principles of Quantum Mechanics

Author: Paul Adrien Maurice Dirac

Publisher: Oxford University Press

ISBN: 9780198520115

Category: Philosophy

Page: 314

View: 9801

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The first edition of this work appeared in 1930, and its originality won it immediate recognition as a classic of modern physical theory. The fourth edition has been bought out to meet a continued demand. Some improvements have been made, the main one being the complete rewriting of thechapter on quantum electrodymanics, to bring in electron-pair creation. This makes it suitable as an introduction to recent works on quantum field theories.

Linear Algebra

Author: Richard W. Kaye,Robert Wilson

Publisher: Oxford University Press, USA

ISBN: 9780198502388

Category: Mathematics

Page: 230

View: 2258

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This book provides a complete account of undergraduate linear algebra, in a rigorous style.

Energy Levels in Atoms and Molecules

Author: William Graham Richards,Peter Richard Scott

Publisher: Oxford University Press on Demand

ISBN: 9780198558040

Category: Science

Page: 92

View: 8386

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An understanding of the energy levels of atoms and molecules is an essential foundation for the study of physical chemistry. This short text provides students at the start of their university chemistry courses with a clear and accessible introduction to electronic structure and quantized mechanics and spectroscopy in second and third year courses. All students on first courses in spectroscopy will find this readable, lively account to be invaluable aid to their study.

Papers

Author: N.A

Publisher: N.A

ISBN: N.A

Category: Mechanical engineering

Page: N.A

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