NUMBERS AND SETS

Introduction to number systems and logic. Sets, relations, and functions. The integers. Elementary number theory. The real numbers. Countability and uncountability.

Numbers and Sets, written by D. Chua, based on lectures by A. G. Thomason, 2014, University of Cambridge.

Numbers and Sets, written by S. Pancratz, based on lectures by W. T. Gowers, 2004, University of Cambridge.

Numbers and Sets, written by S. Wilshaw, based on lectures by I. B. Leader, 2022, University of Cambridge.

Discrete Mathematics, written by P. Metcalfe, based on lectures by J. Saxl, 1995, University of Cambridge.

Discrete Mathematics I, by P. Sewell, 2009, University of Cambridge.

Introduction to University Mathematics, by R. Earl, 2019, University of Oxford.

6.042J Mathematics for Computer Science, taught by A. R. Meyer and A. Chlipala, 2015, Massachusetts Institute of Technology.

6.042J Mathematics for Computer Science, by A. R. Meyer, 2015, Massachusetts Institute of Technology.

6.042J Mathematics for Computer Science, by T. Leighton, M. van Dijk, 2010, Massachusetts Institute of Technology.

Discrete Mathematics, by T. Bazett, 2017, University of Victoria.

Discrete Mathematics I, by K. Brehm, 2020, Bellevue University.

Discrete Mathematics 1, by Trevor, 2018, TrevTutor.

Mathematics for Computer Science, by E. Lehman, F. T. Leighton, and A. R. Meyer, 2015, Massachusetts Institute of Technology.

Applied Discrete Structures, by A. Doerr, K. Levasseur, 3rd ed., 2021, University of Massachusetts Lowell.

Discrete Mathematics: An Open Introduction, by O. Levin, 3rd ed., 2021, University of Northern Colorado.

How to Prove It: A Structured Approach, by D. J. Velleman, 3rd ed., 2019, Cambridge University Press.

Discrete Mathematics and Its Applications, by K. H. Rosen, 8th ed., 2018, Mc Graw Hill Education.

Discrete Mathematics with Applications, by S. S. Epp, 5th ed., 2019, Cengage Learning.

Discrete Mathematics, by R. Johnsonbaugh, 8th ed., 2017, Pearson.

Introductory Discrete Mathematics, by V. K . Balakrishnan, 1st ed., 2010, Dover Publications.

Essentials of Discrete Mathematics, by D. J. Hunter, 4th ed., 2021, Jones & Bartlett Learning.

Proofs: A Long-Form Mathematics Textbook, by J. Cummings, 1st ed. 2021, Independently Published.

Schaum’s Outline of Discrete Mathematics, by S. Lipschutz, 3rd ed., 2009, McGraw-Hill Education.

2000 Solved Problems in Discrete Mathematics, by S. Lipschutz, 1st ed., 1991, McGraw-Hill.