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Analytical Mechanics
  • Language: en
  • Pages: 349

Analytical Mechanics

  • Type: Book
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  • Published: 2016-10-01
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  • Publisher: Springer

This advanced undergraduate textbook begins with the Lagrangian formulation of Analytical Mechanics and then passes directly to the Hamiltonian formulation and the canonical equations, with constraints incorporated through Lagrange multipliers. Hamilton's Principle and the canonical equations remain the basis of the remainder of the text. Topics considered for applications include small oscillations, motion in electric and magnetic fields, and rigid body dynamics. The Hamilton-Jacobi approach is developed with special attention to the canonical transformation in order to provide a smooth and logical transition into the study of complex and chaotic systems. Finally the text has a careful treatment of relativistic mechanics and the requirement of Lorentz invariance. The text is enriched with an outline of the history of mechanics, which particularly outlines the importance of the work of Euler, Lagrange, Hamilton and Jacobi. Numerous exercises with solutions support the exceptionally clear and concise treatment of Analytical Mechanics.

The Classical Theory of Fields
  • Language: en
  • Pages: 445

The Classical Theory of Fields

The study of classical electromagnetic fields is an adventure. The theory is complete mathematically and we are able to present it as an example of classical Newtonian experimental and mathematical philosophy. There is a set of foundational experiments, on which most of the theory is constructed. And then there is the bold theoretical proposal of a field-field interaction from James Clerk Maxwell. This textbook presents the theory of classical fields as a mathematical structure based solidly on laboratory experiments. Here the student is introduced to the beauty of classical field theory as a gem of theoretical physics. To keep the discussion fluid, the history is placed in a beginning chapter and some of the mathematical proofs in the appendices. Chapters on Green’s Functions and Laplace’s Equation and a discussion of Faraday’s Experiment further deepen the understanding. The chapter on Einstein’s relativity is an integral necessity to the text. Finally, chapters on particle motion and waves in a dispersive medium complete the picture. High quality diagrams and detailed end-of-chapter questions enhance the learning experience.

Modern Thermodynamics with Statistical Mechanics
  • Language: en
  • Pages: 403

Modern Thermodynamics with Statistical Mechanics

Thermodynamics is not the oldest of sciences. Mechanics can make that claim. Thermodynamicsisaproductofsomeofthegreatestscienti?cmindsofthe19thand 20th centuries. But it is suf?ciently established that most authors of new textbooks in thermodynamics ?nd it necessary to justify their writing of yet another textbook. I ?nd this an unnecessary exercise because of the centrality of thermodynamics as a science in physics, chemistry, biology, and medicine. I do acknowledge, however, that instruction in thermodynamics often leaves the student in a confused state. My attempt in this book is to present thermodynamics in as simple and as uni?ed a form as possible. As teachers we identify the failures ...

The Quantum Theory—Origins and Ideas
  • Language: en
  • Pages: 246

The Quantum Theory—Origins and Ideas

This book offers a fresh perspective on some of the central experimental and theoretical works that laid the foundations for today's quantum mechanics: It traces the theoretical and mathematical development of the hypotheses that put forward to explain puzzling experimental results; it also examines their interconnections and how they together evolved into modern quantum theory. Particular attention is paid to J.J. Thomson's atomic modeling and experiments at the Cavendish Laboratory, Max Planck's struggle to explain the experimental results of Heinrich Rubens and Ferdinand Kurlbaum, as well as the path leading from Louis de Broglie’s ideas to the wave theory of Erwin Schrödinger. Combining his experience in teaching quantum mechanics with his interest in the historical roots of the subject, the author has created a valuable resource for understanding quantum physics through its history, and a book that is appreciated both by working physicists and historians.

Catalog of Copyright Entries. Third Series
  • Language: en
  • Pages: 1642
Cosmology, Evolution, and Resurrection Hope
  • Language: en
  • Pages: 118

Cosmology, Evolution, and Resurrection Hope

  • Type: Book
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  • Published: 2006
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  • Publisher: Unknown

This edition is a collection of lectures presented by theologian and physicist Robert John Russell at the fifth annual Goshen conference on Religion and Science, and his discussions of related topics with conference participants.

Advances in Planar Lipid Bilayers and Liposomes
  • Language: en
  • Pages: 206

Advances in Planar Lipid Bilayers and Liposomes

Advances in Planar Lipid Bilayers and Liposomes, Volume 10, continues to include invited chapters on a broad range of topics, covering the main arrangements of the reconstituted system, namely planar lipid bilayers and spherical liposomes. The invited authors present the latest results in this exciting multidisciplinary field of their own research group. Many of the contributors working in both fields over many decades were in close collaboration with the late Prof. H. Ti Tien, the founding editor of this book series. There are also chapters written by some of the younger generation of scientists included in this series. This volume keeps in mind the broader goal with both systems, planar lipid bilayers and spherical liposomes, which is the further development of this interdisciplinary field worldwide. * Incorporates contributions from newcomers and established and experienced researchers * Explores the planar lipid bilayer systems and spherical liposomes from both theoretical and experimental perspectives * Serves as an indispensable source of information for new scientists

Quantum Shift
  • Language: en
  • Pages: 240

Quantum Shift

While the field of science has made incredible advances in the past century, and more and more scientists have gone to great lengths to make these developments accessible to the public, we still rarely hear ministers and communities of faith discussing the implications of these developments for the life of faith. Quantum Shift explores recent developments in science from relativity to quantum mechanics to cosmology and then suggests ways in which people of faith might engage these scientific developments to foster their understanding of God and what it means to be part of the world we believe God created. Heidi Ann Russell demonstrates how these scientific developments offer us new and exciting images that spark our theological imaginations and reinvigorate our spiritual lives. Includes Illustrations

The Quantum Theory-Origins and Ideas
  • Language: en

The Quantum Theory-Origins and Ideas

  • Type: Book
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  • Published: 2021
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  • Publisher: Unknown

This book offers a fresh perspective on some of the central experimental and theoretical works that laid the foundations for today's quantum mechanics: It traces the theoretical and mathematical development of the hypotheses that put forward to explain puzzling experimental results; it also examines their interconnections and how they together evolved into modern quantum theory. Particular attention is paid to J.J. Thomson's atomic modeling and experiments at the Cavendish Laboratory, Max Planck's struggle to explain the experimental results of Heinrich Rubens and Ferdinand Kurlbaum, as well as the path leading from Louis de Broglie's ideas to the wave theory of Erwin Schrödinger. Combining his experience in teaching quantum mechanics with his interest in the historical roots of the subject, the author has created a valuable resource for understanding quantum physics through its history, and a book that is appreciated both by working physicists and historians.

On the Origin of Consciousness
  • Language: en
  • Pages: 343

On the Origin of Consciousness

Have you ever thought about how self-consciousness (self-awareness) originated in the universe? Understanding consciousness is one of the toughest “nuts to crack.” In recent years, scientists and philosophers have attempted to provide an answer to this mystery. The reason for this is simply because it cannot be confined to solely a materialistic interpretation of the world. Some scientific materialists have suggested that consciousness is merely an illusion in order to insulate their worldviews. Yet, consciousness is the most fundamental thing we know, even more so than the external world since we require it to perceive or think about anything. Without it, reasoning would be impossible. ...