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Classical and Quantum Mechanics with Lie Algebras

by Shapira Yair

A mathematical route through classical and quantum physics

Regular price $169.81 USD
Regular price $188.68 USD Sale price $169.81 USD
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Hardcover New English

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AlbakiReads Editorial

A mathematical route through classical and quantum physics

Yair Shapira organizes the book around discrete mathematics, geometry, and algebra, using these tools to connect Newtonian mechanics, relativity, and quantum mechanics. The 712-page volume also addresses Hamiltonian mechanics, stability, and applications of Lie algebras in physics. Exercises are built into each chapter as part of the presentation, with complete solutions supplied; the book describes them as a way to introduce material step by step. Its scope and exercise-centered structure make it suitable for use across several undergraduate physics subjects, from mechanics and relativity to quantum physics and chemistry.

Good fit for readers who enjoy

  • Undergraduate students studying mechanics, relativity, or quantum physics.
  • Readers interested in mathematical approaches to physics, including Lie algebras.
  • Instructors seeking a textbook with integrated exercises and solutions.

Themes

Mathematical foundations of physicsClassical mechanics and relativityQuantum mechanicsLie algebras and their applicationsExercise-based learning

Based on publisher information and book metadata.

Book overview

How to see physics in its full picture? This book offers a new approach: start from math, in its simple and elegant tools: discrete math, geometry, and algebra, avoiding heavy analysis that might obscure the true picture. This will get you ready to master a few fundamental topics in physics: from Newtonian mechanics, through relativity, towards quantum mechanics.

 

Thanks to simple math, both classical and modern physics follow and make a complete vivid picture of physics. This is an original and unified point of view to highlighting physics from a fresh pedagogical angle.

 

Each chapter ends with a lot of relevant exercises. The exercises are an integral part of the chapter: they teach new material and are followed by complete solutions. This is a new pedagogical style: the reader takes an active part in discovering the new material, step by step, exercise by exercise.

 

The book could be used as a textbook in undergraduate courses such as Introduction to Newtonian mechanics and special relativity, Introduction to Hamiltonian mechanics and stability, Introduction to quantum physics and chemistry, and Introduction to Lie algebras with applications in physics.

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