/u/another_user_name posted this list a while back. Actual aerospace textbooks are towards the bottom but you'll need a working knowledge of the prereqs first.
Non-core/Pre-reqs:
Mathematics:
Calculus.
1-4) Calculus, Stewart -- This is a very common book and I felt it was ok, but there's mixed opinions about it. Try to get a cheap, used copy.
1-4) Calculus, A New Horizon, Anton -- This is highly valued by many people, but I haven't read it.
Theory of Wing Sections, Abbot and von Doenhoff -- Dover book, but very good for what it is.
Aerodynamics for Engineers, Bertin and Cummings -- Didn't use this as the text (used Anderson instead) but it's got more on stuff like Vortex Lattice Methods.
Unfortunately orbital mechanics gets really complex really quickly. Some good textbooks on the maths of spaceflight are
Astronautics, by Ulrich Walter. Walter is a German astronaut, physicist and professor. If I remember correctly, he tries to make the physics of spaceflight interesting via pop culture references and stories from his personal experience.
Orbital Mechanics, by J. E. Prussing and B. A. Conway. This book is dense: in 200 pages it summarizes what Walter needs 500+ to cover. It's my favourite reference text but, as a professor of mine once put it, it's better to read it after you've understood the subject thoroughly.
Keep in mind that all of the above are textbooks at the advanced undergrad/first-year grad level.
I'm not aware of simpler books about spaceflight. It would be grand to have something akin to Anderson's Introduction to Flight for space; if anyone's aware of such a book, I would be more than glad myself to discover it!
/u/another_user_name posted this list a while back. Actual aerospace textbooks are towards the bottom but you'll need a working knowledge of the prereqs first.
Non-core/Pre-reqs:
Mathematics:
Calculus.
1-4) Calculus, Stewart -- This is a very common book and I felt it was ok, but there's mixed opinions about it. Try to get a cheap, used copy.
1-4) Calculus, A New Horizon, Anton -- This is highly valued by many people, but I haven't read it.
1-4) Essential Calculus With Applications, Silverman -- Dover book.
More discussion in this reddit thread.
Linear Algebra
3) Linear Algebra and Its Applications,Lay -- I had this one in school. I think it was decent.
3) Linear Algebra, Shilov -- Dover book.
Differential Equations
4) An Introduction to Ordinary Differential Equations, Coddington -- Dover book, highly reviewed on Amazon.
G) Partial Differential Equations, Evans
G) Partial Differential Equations For Scientists and Engineers, Farlow
More discussion here.
Numerical Analysis
5) Numerical Analysis, Burden and Faires
Chemistry:
Physics:
2-4) Physics, Cutnel -- This was highly recommended, but I've not read it.
Programming:
Introductory Programming
Programming is becoming unavoidable as an engineering skill. I think Python is a strong introductory language that's got a lot of uses in industry.
Core Curriculum:
Introduction:
Aerodynamics:
Thermodynamics, Heat transfer and Propulsion:
Flight Mechanics, Stability and Control
5+) Flight Stability and Automatic Control, Nelson
5+)[Performance, Stability, Dynamics, and Control of Airplanes, Second Edition](http://www.amazon.com/Performance-Stability-Dynamics-Airplanes-Education/dp/1563475839/ref=sr_1_1?ie=UTF8&qid=1315534435&sr=8-1, Pamadi) -- I gather this is better than Nelson
Engineering Mechanics and Structures:
3-4) Engineering Mechanics: Statics and Dynamics, Hibbeler
6-8) Analysis and Design of Flight Vehicle Structures, Bruhn -- A good reference, never really used it as a text.
G) Introduction to the Mechanics of a Continuous Medium, Malvern
G) Fracture Mechanics, Anderson
G) Mechanics of Composite Materials, Jones
Electrical Engineering
Design and Optimization
Space Systems
Unfortunately orbital mechanics gets really complex really quickly. Some good textbooks on the maths of spaceflight are
Keep in mind that all of the above are textbooks at the advanced undergrad/first-year grad level.
I'm not aware of simpler books about spaceflight. It would be grand to have something akin to Anderson's Introduction to Flight for space; if anyone's aware of such a book, I would be more than glad myself to discover it!