Need a book on various engineering disciplines

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The discussion centers on the challenges faced by a community college student preparing to transfer to the University of Illinois at Urbana-Champaign (UIUC) and the difficulty in selecting an engineering program. The student expresses concern about the rigid curriculum that limits exploration of different engineering disciplines before committing to a specific path. They emphasize the desire to pursue a PhD and engage in research, while also noting a strong affinity for mathematics. The conversation highlights the need for resources that provide detailed insights into various engineering fields, such as chemical, mechanical, and electrical engineering, particularly those that maintain a strong focus on mathematics. Suggestions include looking for books that cover the specifics of engineering disciplines, with a recommendation for "Transport Phenomena" for those interested in chemical engineering. The student is currently studying advanced calculus and has completed foundational physics courses, but seeks more targeted information about the engineering fields.
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I'm a year into a 2 year community college and will be transferring to UIUC. I am having a very difficult time choosing what engineering program I should go into. Or if I even want to do engineering. The very regimented curriculum limits me from taking classes to explore my options. I basically have to decide what I want to do before I even start. By the 3rd year, they suggest you take 5 engineering classes in your specific program. That's not much to work with in terms of deciding what you want to do for the rest of your life. If it helps at all, I plan on getting a PhD in my chosen program to do research.

So, I was wondering if there was a book out there describing the various disciplines (chemical, mechanical, TAM, nuclear, EE, etc.). At this point the only thing I'm sure of is that I CANNOT get enough of mathematics. Some of the engineering programs seem to just stop taking math classes at a point. Are there any especially heavy math engineering programs? Of course, that question would be answered with the right book I suppose.
 
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Any Introductory Physics book will have all of the major disciplines in it except chemical. For chemical, see any introductory text. Unless you want to get into Organic Chemistry. What level of math are you at?

If you are proficient in higher math, then a good book with Chemical, Thermal, and Fluids is "Transport Phenomena" by Bird, Stewart, and Lightfoot.

Thanks
Matt
 
Currently I'm taking Calc 3 going over graphing various surfaces (saddles and the like). I've had two physics classes, mechanics and electromagnetism, which haven't really told me anything about each engineering discipline since almost every one uses these. So, I'm looking for a book detailing the specifics.
 
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