Carl S. Helrich's Books

The Classical Theory of Fields

Electromagnetism

By: Carl S. Helrich

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The Classical Theory of Fields

Electromagnetism

By: Carl S. Helrich

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.

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Page Count

445

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3642232043

ISBN 13

9783642232046

Modern Thermodynamics with Statistical Mechanics

By: Carl S. Helrich

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Modern Thermodynamics with Statistical Mechanics

By: Carl S. Helrich

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 of our own teachers and attempt to correct them. Although I personally acknowledge with a deep gratitude the appreciation for thermodynamics that I found as an undergraduate, I also realize that my teachers did not convey to me the sweeping grandeur of thermodynamics. Speci?cally the s- plicity and the power that James Clerk Maxwell found in the methods of Gibbs were not part of my undergraduate experience. Unfortunately some modern authors also seem to miss this central theme, choosing instead to introduce the thermodynamic potentials as only useful functions at various points in the development.

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Page Count

403

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3540854185

ISBN 13

9783540854180

The Quantum Theory—Origins and Ideas

A Historical Primer for Physics Students

By: Carl S. Helrich

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The Quantum Theory—Origins and Ideas

A Historical Primer for Physics Students

By: Carl S. Helrich

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.

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Page Count

246

Publisher

Springer Nature

Published Date

ISBN 10

3030792684

ISBN 13

9783030792688

Analytical Mechanics

By: Carl S. Helrich

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Analytical Mechanics

By: Carl S. Helrich

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.

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Page Count

359

Publisher

Springer

Published Date

ISBN 10

3319444913

ISBN 13

9783319444918

Analytical Mechanics

By: Carl S. Helrich

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Analytical Mechanics

By: Carl S. Helrich

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359

Publisher

Springer

Published Date

ISBN 10

3319444913

ISBN 13

9783319444918

The Quantum Theory—Origins and Ideas

A Historical Primer for Physics Students

By: Carl S. Helrich

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The Quantum Theory—Origins and Ideas

A Historical Primer for Physics Students

By: Carl S. Helrich

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N/A

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Solve jigsaw puzzle

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Page Count

246

Publisher

Springer Nature

Published Date

ISBN 10

3030792684

ISBN 13

9783030792688

Book's by Carl S. Helrich

The Classical Theory of Fields

The Classical Theory of Fields

Modern Thermodynamics with Statistical Mechanics

Modern Thermodynamics with Statistical Mechanics

The Quantum Theory—Origins and Ideas

The Quantum Theory—Origins and Ideas

Analytical Mechanics

Analytical Mechanics

Analytical Mechanics

Analytical Mechanics

The Quantum Theory—Origins and Ideas

The Quantum Theory—Origins and Ideas

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