On this page, we list some of the most essential references for mathematics that cover topics that are relevant to the data science and data analysis fields.

#### Some references for calculus

- Apostol, Tom M.: Calculus. Vol. I: One variable calculus, with an introduction to linear algebra. 2nd ed. A Blaisdell Book in the Pure and Applied Sciences. Waltham etc.: Blaisdell Publishing Company. xx, 666 p. (1967).
- Apostol, T. M.: Calculus. Vol. II: Multi-variable calculus and linear algebra, with applications to differential equations and probability. 2nd ed. A Blaisdell Book in Pure and Applied Mathematics. Waltham, MA-Toronto- London: Blaisdell Publishing Company, a division of Ginn and Company. XXI, 673 p. (1969).
- Apostol, Tom M.: Mathematical analysis. 2nd ed. World Student Series Edition. Reading, Mass. etc.: Addison -Wesley Publishing Company. 483 p. (1974).
- Bartle, Robert G.: The elements of real analysis. New York etc.: John Wiley & Sons. XV, 480 p. (1976).
- Hass, Joel R.; Weir, Maurice D.; Thomas, George B. jun.: University calculus, early transcendentals. 2nd revised ed. of University calculus: elements with early transcendentals. International edition. Boston, MA: Pearson. 1080 p. (2012).
- Lax, P.D., Terrell, M.S.: Calculus with applications. 2nd ed. Undergraduate Texts in Mathematics. New York, NY: Springer. xii, 503 p. (2014).
- Lax, P.D., Terrell, M.S.: Multivariable calculus with applications. Undergraduate Texts in Mathematics. Cham: Springer. viii, 483 p. (2017).
- Rudin, Walter: Principles of mathematical analysis. 3rd ed. International Series in Pure and Applied Mathematics. DÃ¼sseldorf etc.: McGraw-Hill Book Company. X, 342 p. (1976).
- Spivak, Michael: Calculus. 4th ed. Houston, TX: Publish or Perish. xiv, 680 p. (2008).

#### Some references for linear algebra

- Axler, Sheldon: Linear algebra done right. 3rd ed. Undergraduate Texts in Mathematics. Cham: Springer. xvii, 340 p. (2015).
- Bellman, R.: Introduction to matrix analysis. 2nd ed. New York etc.: McGraw-Hill Book Company, XXIII, 403 p. (1970).
- Golub, Gene H.; Van Loan, Charles F.: Matrix computations. 4th ed. Johns Hopkins Studies in the Mathematical Sciences. Baltimore, MD: The Johns Hopkins University Press. xxi, 756 p. (2013).
- Higham, Nicholas J.: Functions of matrices. Theory and computation. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM). xx, 425 p. (2008).
- Hoffman, K.; Kunze, R.: Linear algebra. Englewood Cliffs, N. J.: Prentice-Hall, Inc. VIII, 407 p. (1971).
- Horn, Roger A.; Johnson, Charles R.: Matrix analysis. 2nd ed. Cambridge: Cambridge University Press. xviii, 643 p. (2013).
- Kreyszig, Erwin: Introductory functional analysis with applications. Paperback edition. Wiley Classics Library. New York etc.: John Wiley & Sons. xiv, 688 p. (1989).
- Lay, David C.: Linear algebra and its applications. 2nd ed. upd. Reading, MA: Addison-Wesley. xxxiv, 590 p. (2000).
- Meyer, Carl D.: Matrix analysis and applied linear algebra (incl. CD-ROM and solutions manual). Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM). xii, 718 p./solutions manual 171 p. (2000).
- Rudin, Walter: Functional analysis. 2nd ed. International Series in Pure and Applied Mathematics. New York, NY: McGraw-Hill. xviii, 424 p. (1991).
- Strang, Gilbert: Introduction to linear algebra. 5th edition. Wellesley, MA: Wellesley-Cambridge Press. x, 574 p. (2016).
- Strang, Gilbert: Linear algebra and its applications. 4th edition. Boston, MA: Brooks/Cole, Cengage Learning. 496 p. (2007).

#### Some references for mathematical optimization

- Boyd, Stephen; Vandenberghe, Lieven: Convex optimization. Cambridge University Press. xiii, 716 p. (2004).
- Panik, Michael J.: Mathematical analysis and optimization for economists. Boca Raton, FL: CRC Press. xviii, 325 p. (2022).
- Veatch, Michael H.: Linear and convex optimization. A mathematical approach. Hoboken, NJ: John Wiley & Sons. xvii, 366 p. (2021).

#### Some references for probability theory and statistics

- Ghahramani, Saeed: Fundamentals of probability: with stochastic processes. 4th edition. Boca Raton, FL: CRC Press. xix, 631 p. (2019).
- Ross, Sheldon M.: Introduction to probability and statistics for engineers and scientists. 6th edition. Amsterdam: Elsevier/Academic Press. xvi, 687 p. (2020).
- Ross, Sheldon M.: Introduction to probability models. 12th edition. Amsterdam: Elsevier/Academic Press. xv, 826 p. (2019).

**Remark**. For creating the current page for our reference books, we have used the zbMATH database. For other useful links go to our links page.