1. 이산수학 / 선 대수학 / 증명

1.1. 이산수학

Discrete Mathematics with Applications, 5th Edition. Susanna S. Epp.
- 초심자용.
- 아래 책보다 나음
Discrete Mathematical Structures, 6th Edition. Bernard Kolman, Robert Busby, Sharon C. Ross.
- 초심자용.
- 초보자한테 착함.
Concrete Mathematics: A Foundation for Computer Science, 2nd Edition. Graham, Knuth, Patashnik.
- 위의 책들보단 난이도가 있음.
- 답지 있음.
- 초심자용 아님.
Discrete and Combinatorial Mathematics, 5th Edition. Ralph P. Grimaldi.
- 표준
- 읽기 빡셈
Discrete Mathematics and Its Applications, 8th Edition. Kenneth Rosen.
- 표준
- 읽기 빡셈

Pre-Algebra Mathematics. Eugene D. Nichols.
Elementary Algebra, 4th Edition. Michael Sullivan, Katherine Struve, Janet Mazzarella.
- 좀 더 최근 책.
- 예제 많음.
Fearon’s Pre-Algebra. Laura B. Cardine, Melissa Curth, Betty M. Harris, Louis Lanyard, et al.

Mathematical Proofs: A Transition to Advanced Mathematics, 4th Edition. Gary Chartrand, Albert D. Polimeni, Ping Zhang.
- 엄청 수준 높은 책.
- 읽을 수 있는 것만 읽기.
- 아래 책보다 더 나음.
An Introduction to Abstract Mathematics. Robert J. Bond, William J. Keane.
- 좋은 책임.
How to Prove It: A Structured Approach, 2nd Edition. Daniel J. Velleman.
- 이게 제일 좋음.
Foundations of Higher Mathematics, 3rd Edition. Fletcher Patty, C. Wayne Patty.
- Bond 책이랑 비슷.
How to Read and Do Proofs, 6th Edition. Daniel Solow.

Precalculus: Mathematics for Calculus, 7th Edition. James Stewart, Lothar Redlin, Saleem Watson.
- 삼각함수도 있긴 함.
College Algebra, 8th Edition. Jerome E. Kauffmann, Karen L. Schwitters.
- Blitzer보다는 초심자용.
College Algebra, 7th Edition. Robert Blitzer.
- Stewart보다는 고급.
- 삼각함수는 없음
A Graphical Approach to Algebra & Trigonometry. Margaret Lial, John Hornsby, Gary Rockswold.
- 보통 선미적분학 가르칠 때 사용하는 교재.
- 답지가 존재.
- 이미 대수학 알면 선 대수학이랑 대학 대수학 씹고 여기서 시작해도 됨.
Algebra and Trigonometry, 4th Edition. James Stewart, Lothar Redlin, Saleem Watson.
- 위의 책이랑 유사.
Algebra & Trigonometry, 11th Edition. Michael Sullivan.
- 위의 책이랑 유사.
Schaum’s Outline of Trigonometry, 6th Edition. Robert Moyer, Frank Ayres.
- 삼각함수만 있음.
- 근데 위에 책 하나만 써도 됨.
Algebra and Trigonometry. Edward Cameron.
- 옛날 책.
- 얇음.
Pre-Calculus Mathematics. Merrill Shanks, Charles F. Brumfiel, Charles R. Fleenor, Robert E. Eicholz.
- 옛날 책.
- 두꺼움.
Trigonometry Essentials Practice Workbook with Answers. Chric McMullen.
- 문제집.
Plane Trigonometry, 6th Edition. Bernard J. Rice, Jerry D. Strange.
- 삼각함수만 다룸.

Calculus, 9th Edition. James Stewart.
- 사실상 표준
Calculus, 4th Edition. Michael Spivak.
- Stewart보다 예제는 적지만 더 고급짐.
- 논리학/증명하는 법 이미 배웠으면 이거 읽을 수 있음. (어려움)
Calculus with Analytic Geometry, 5th Edition. Earl W. Swokowski.

Mathematical Statistics with Applications, 7th Edition. Dennis Wackerly, William Mendenhall, Richard L. Scheaffer.
- 수준이 높음.
- 미적분학 알아야함.
A First Course in Probability, 10th Edition. Sheldon Ross.
- 미적분학 알아야하는 부분들이 존재함.

Fundamentals of Complex Analysis with Applications to Engineering and Science, 3rd Edition. Edward B. Saff, Arthur David Snider.
- 미분방정식 안하고 이거부터 해도 되긴 함.
- 초보자용.
Complex Variables and Applications, 9th Edition. James Brown, Ruel Churchill.
- 초보자용.

Analysis, 3rd Edition. Terence Tao.
- 예제 굳.
- 읽기 편함.
Advanced Calculus, 2nd Edition. Patrick M. Fitzpatrick.
- Tao 책보단 좀 더 딱딱함.
Principles of Mathematical Analysis, 3rd Edition. Walter Rudin.
- Tao 책보단 좀 더 딱딱함.
Elementary Analysis: The Theory of Calculus, 2nd Edition. Kenneth A. Ross.
- 증명에 많은 노력.

Introduction to Topology, 2nd Edition. Theodore W. Gamelin, Robert Everist Greene.

Introductory Functional Analysis with Applications. Erwin Kreyszig.
- 이 분야에서 제일 쉬운 책

Real Analysis, 4th Edition. Halsey Royden, Patrick Fitzpatrick.
- 대학원 수준
- 아래 책보단 더 나음
Real and Complex Analysis, 3rd Edition. Walter Rudin.
- 고전