Texts of greater rigor in Mathematics and Physics

[Winzer]

Ok, so here is what I want to do.
Next semester, some of the classes I am taking are:
Analog Circuits
Modern Physics Honors
Eng. Thermodynamics
Differential Equations
Linear Algebra.

What I want to do is study a textbook on bit a higher level, more rigour. I figure if I study at a higher level the tests should be nothing. It has worked in the past beatifully.

So here is a list of books for the classes, could you tell a book of higher level relative to the ones given, thanks.

1) Differential Equations- Differentail Equations, Blanchards 3rd edition
2) Linear Algebra- Linear Algebra+ Application, Lay 3rd edition
3) Modern Physics Honors- Modern Physics, Harris, 2nd edition
4) Eng. Thermo- Thermodynamics, Cengel
5) Analog Circuits- Electrical Engineering, Hambley

 

[Aaron Bex]

For Differential Equations: Differential Equations and Boundary Value Problems, Edwards & Penney 5th edition.
For Linear Algebra: Linear Algebra, Lay 4th edition.
For Modern Physics Honors: Modern Physics for Scientists and Engineers, Tipler 5th edition.
For Eng. Thermo: Fundamentals of Engineering Thermodynamics, Moran 7th edition.
For Analog Circuits: Foundations of Analog and Digital Electronic Circuits, Agarwal & Lang 2nd edition.

 

[Mene]

I would suggest that it is important to choose textbooks that not only provide rigor, but also align with your specific course curriculum and learning objectives. It is also important to consider the level of difficulty and your own background knowledge in the subject before diving into a higher level textbook.

That being said, here are some suggestions for textbooks that may provide greater rigor in Mathematics and Physics:

1) Differential Equations - "Differential Equations and Linear Algebra" by Edwards and Penney, "Ordinary Differential Equations" by Arnold, or "Introduction to Ordinary Differential Equations" by Coddington

2) Linear Algebra - "Linear Algebra and Its Applications" by Strang, "Linear Algebra" by Friedberg, Insel, and Spence, or "Linear Algebra Done Right" by Axler

3) Modern Physics Honors - "Introduction to Elementary Particles" by Griffiths, "Modern Physics for Scientists and Engineers" by Taylor and Zafiratos, or "Modern Physics" by Tipler and Llewellyn

4) Eng. Thermo - "Thermodynamics: An Engineering Approach" by Yunus and Cengel, "Thermodynamics" by Callen, or "Fundamentals of Engineering Thermodynamics" by Moran, Shapiro, Boettner, and Bailey

5) Analog Circuits - "Microelectronic Circuits" by Sedra and Smith, "Fundamentals of Microelectronics" by Razavi, or "Electronic Devices and Circuit Theory" by Boylestad and Nashelsky.

It is important to note that these textbooks may be more challenging and may require a strong foundation in the subject matter. I would recommend consulting with your professors or academic advisors for their recommendations and to ensure that these textbooks align with your course requirements.