"Mathematically rigorous" refers to the level of mathematical precision and rigor used in the presentation of physical concepts and theories in a textbook. It means that the book provides thorough mathematical explanations and proofs, and requires a strong understanding of mathematical concepts in order to fully comprehend the material.
A mathematically rigorous physics book will typically have a strong emphasis on mathematical concepts and techniques, such as calculus, linear algebra, and differential equations. The book will also use mathematical notation and provide detailed mathematical derivations to support the physical theories being presented.
It depends on the level of mathematical background and understanding of the reader. While some mathematically rigorous physics books may be suitable for beginners, others may be more suitable for advanced students or researchers with a strong mathematical background. It is important to carefully consider the prerequisites and level of difficulty of the book before diving in.
Mathematically rigorous physics books place a strong emphasis on mathematical rigor and precision, while non-rigorous physics books may focus more on conceptual explanations and qualitative descriptions. Mathematically rigorous books also tend to require a higher level of mathematical understanding from the reader.
No, not all physics books can be considered mathematically rigorous. Some books may focus more on conceptual understanding without delving into the mathematical details, while others may use mathematical concepts but not at a rigorous level. It is important to carefully consider the level of mathematical rigor when choosing a physics book for your needs.