Graduating from school has been a long and difficult transition which has proven much harder than expected. A bit part of that was coursework - I loved my courses at school, especially the graduate level courses in my final couple years.

Nearly a year after graduating I had a realization: there’s no reason I can’t continue to learn.

So, I began to buy textbooks, and I began to buy a lot of them. They’re expensive, but by buying used or ex-library copies, it’s been relatively affordable given how passionate I am about furthering my learning.

I approach each book as its own course, taking notes while reading and doing some of the practice problems. It’s been extremely an rewarding process that I am sure I will continue for a long time.

When I tell people about this, the reaction is often simply, “Why? What is your goal?”. For me, it’s very simple. Of course there is the pragmatic reason that I can list them here on this website to show to future employers. But, much more than that, I am passionate about the material and want to drink it in.

On this page, I’ll put a list of the textbooks I’ve gone through so far and also the books I plan to go through. Ideally, I’d like to put a short paragraph of my thoughts of each one as well but I’ll save that for the future. By far, the hardest part of this process has simply been finding which book to read next considering my only option has been to shoot random Google searches in the dark. I would absolutely love to provide a more unified list of books for people interested in the same research areas as me to go through.

Read Books

Presented as most recently read to first read.

• F. H. Clarke, Nonsmooth analysis and control theory. Springer, 2009.
• S. Wiggins, Introduction to applied nonlinear dynamical systems and chaos. New York: Springer, 1996.
• P. G. Drazin and R. S. Johnson, Solitons: an introduction. Cambridge: Cambridge Univ. Press, 2002.
• E. Kreyszig, Introductory functional analysis with applications. New York: John Wiley & Sons, 1978.
• P. P. Vaidyanathan, Multirate systems and filter banks. Delhi: Dorling Kindersley, 2006.
• H. K. Khalil, Nonlinear systems. Upper Saddle River, NJ: Prentice Hall, 2002.
• S. Sastry, Nonlinear systems analysis, stability, and control. New York: Springer, 1999.
• W. Schirotzek, Nonsmooth Analysis. Berlin: Springer, 2007.
• J. R. Leigh, Functional analysis and linear control theory. Mineola (N.Y.): Dover, 2007.
• I. M. Gelfand, Fomine Sergueï Vasilievitch, and R. A. Silverman, Calculus of variations. Mineola, NY: Dover Publications, 2000.
• Haddad, Wassim M., and VijaySekhar Chellaboina. Nonlinear Dynamical Systems and Control: A Lyapunov-Based Approach. Princeton University Press, 2008.

Future Books

Presented in order of interest reading next. Showing this partially for my own sake to keep track of my reading list, and also to show my future interests.

• P. G. Ciarlet, Linear and nonlinear functional analysis with applications: with 401 problems and 52 figures. Philadelphia: Society for Industrial and Applied Mathematics, 2013.
• D. C. Kravvaritis and A. N. Yannacopoulos, Variational Methods in Nonlinear Analysis: With Applications in Optimization and Partial Differential Equations. Berlin: De Gruyter, 2020.
• Bačák Miroslav, Convex analysis and optimization in Hadamard spaces. Berlin: Walter de Gruyter GmbH & Co. KG, 2014.
• G. Grimmett and D. Stirzaker, Probability and random processes. Oxford: Oxford University Press, 2009.
• D. E. Dudgeon and R. M. Mersereau, Multidimensional digital signal processing. Englewood Cliffs N.J.: Prentice-Hall, 1984.

Reference Books

Books on topics I covered in school, and I’ve purchased purely due to passion around the topic or to keep around for reference purposes.

• D. E. Kirk, Optimal Control Theory: An Introduction. Place of publication not identified: DOVER PUBNS, 2016.
• S. J. Farlow, Partial differential equations for scientists and engineers. Chichester: Wiley, 1982.
• R. E. Williamson and H. F. Trotter, Multivariable mathematics: linear algebra, calculus, differential equations. Englewood Cliffs: Prentice-Hall, 1979.
• T. Kailath, Linear systems. Englewood Cliffs, NJ: Prentice-Hall, 1980.
• J. G. Proakis and D. G. Manolakis, Digital signal processing: principles, algorithms, and applications. Upper Saddle River, NJ: Pearson Prentice Hall, 2007.