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266578244
Vectors in Physics: A Practical Guide with Problems and Solutions (Undergraduate Lecture Notes in Physics)
Item #:
266578244
AED 403
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This rigorous guide equips advanced undergraduate students in physics with essential vector identities and tools for mastering complex derivations in vector calculus.
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- This book provides a rigorous and comprehensive exposition of vectors and vector fields, designed for advanced undergraduate students in physics. It presents detailed derivations of essential vector identities, relations involving quantum vector operators, and vector calculus theorems commonly encountered in undergraduate and graduate physics coursework. A complete catalogue of vector identities—spanning both classical and quantum contexts—is presented using index notation and the Einstein summation convention, fostering fluency with tensorial methods and streamlining complex derivations.Core topics include vector algebra, differential and integral vector calculus, and three-dimensional Taylor expansions, supported by careful treatments of the essential underlying mathematical tools. Advanced subjects—such as the Dirac delta function, Green’s functions, multipole expansions, and Cartesian tensors—are introduced with a balance of formal clarity and pedagogical accessibility. A dedicated chapter on tensor transformations, invariants, and the Levi-Civita and Kronecker symbols offers a foundation for further study in areas such as general relativity and quantum field theory. Each chapter contains numerous worked examples and end-of-chapter problems, all accompanied by complete solutions, making the text well-suited for both structured coursework and independent study.
| Publisher | Springer |
| Publication date | May 9, 2026 |
| Language | English |
| Print length | 488 pages |
| ISBN-10 | 303203356X |
| ISBN-13 | 978-3032033567 |
| Item Weight | 1.63 pounds (740 grams) |
| Dimensions | 6.1 x 1.1 x 9.25 inches (15.5 x 2.8 x 23.5 cm) |
| Part of series | Undergraduate Lecture Notes in Physics |
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Vectors in Physics: A Practical Guide with Problems and Solutions (Undergraduate Lecture Notes in Physics)
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Features & Benefits
- Comprehensive exposition of vectors and vector fields for advanced students.
- Includes complete catalogue of essential vector identities in classical and quantum contexts.
- Covers core topics like vector algebra, differential and integral vector calculus.
- Offers advanced subjects like Dirac delta function and multipole expansions.
- Features numerous worked examples and complete solutions for effective learning.
- Ideal for structured coursework and independent study in physics.
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