Code

1. Python package for visualizing the geometry linear programming

Operation Research Books (for undergraduate and graduate students)

1. Papadimitriou, C. H., & Steiglitz, K. (1998). Combinatorial optimization: algorithms and complexity. Courier Corporation. amazon 京东
2. Bertsimas, D., & Tsitsiklis, J. N. (1997). Introduction to linear optimization. Belmont, MA: Athena Scientific. amazon
3. Wolsey, L. A. (2020). Integer programming. John Wiley & Sons.amazon
4. Wolsey, L. A., & Nemhauser, G. L. (1999). Integer and combinatorial optimization. John Wiley & Sons. amazon
5. Dantzig, G. (2016). Linear programming and extensions. Princeton university press. amazon
6. Martin, R. K. (2012). Large scale linear and integer optimization: a unified approach. Springer Science & Business Media. amazon
7. Sierksma, G., & Zwols, Y. (2015). Linear and integer optimization: theory and practice. CRC Press.amazon

Basic math（Books）

1. libretexts
2. Calculus
3. Math
4. Math Online
5. S.O.S. Mathematics
6. Math Open Reference
7. Paul’s Online Notes, Lamar University
8. BCcampus Open Textbook
9. Calculus Volume 1, Gilbert Strang and Edwin “Jed” Herman
10. Calculus Volume 2, Gilbert Strang and Edwin “Jed” Herman
11. Calculus Volume 3, Gilbert Strang and Edwin “Jed” Herman
12. Multivariable Calculus, University of Toronto, St George Campus
13. Elementary Calculus: An Infinitesimal Approach, University of Wisconsin-Madison
14. Calculus: Early Transcendentals, Whitman College
15. Introduction to the Foundations of Applied Mathematics

Courses

Prof. James Ritchie Norris, University of Cambridge

1. Optimization and Control

Prof. Dimitri Bertsekas, Massachusetts Institute of Technology

1. Nonlinear programming
2. Dynamic programming
3. Convex analysis and optimization
4. Introduction to Mathematical Programming

Prof. Michel Goemans, Massachusetts Institute of Technology

1. Topics in Combinatorial Optimization
2. Combinatorial Optimization
3. Advanced Combinatorial Optimization

Prof. Yaron Singer, Harvard University

1. Advanced Optimization

Prof. John Duchi, Stanford University

1. Convex Optimization I

Prof. Michael P. Friedlander, University of British Columbia

1. Convex Analysis and Optimization
2. Optimization Theory
3. Computational Optimization

Prof. Annie Raymond, University of Washington

1. Combinatorial Optimization

Prof. Laurent Lessard, Northeastern University

1. Introduction to Optimization
2. Linear Systems
3. Data Science & Engineering

Prof. Misha Lavrov, University of Illinois, Urbana-Champaign

1. Linear Programming
2. Nonlinear Programming

Prof. Chandra Chekuri, University of Illinois, Urbana-Champaign

1. Topics in Combinatorial Optimization

Prof. Ted Ralphs, Lehigh University

1. Tools for Modeling Optimization Problems
2. Computational Integer Programming
3. Multistage Optimization
4. Introduction to the COIN-OR Optimization Suite and Open Source Modeling Tools

Prof. Angelia Nedich, University of Illinois at Urbana-Champaign

1. Operations Research Methods GE
2. Convex Optimization
3. Game Theory: Models, Algorithms and Applications
4. Distributed Optimization

Prof. Omar Antolín Camarena, Instituto de Matemáticas

1. Linear Programming

Prof. David P. Williamson, Cornell University

1. Mathematical Programming
2. Network Flows
3. Bridging Continuous and Discrete Optimization

Prof. Amir Ali Ahmadi, Princeton University

1. Computing and Optimization
2. Convex and Conic Optimization

Prof. Geoff Gordon and Ryan Tibshirani, Carnegie Mellon University

1. Optimization

Prof. John E. Mitchell, Rensselaer Polytechnic Institute

1. Integer and Combinatorial Optimization
2. Introduction to Optimization
3. Math Models of Operations Research
4. Linear and Conic Optimization

Prof. Misha Lavrov, Kennesaw State University

1. Linear Programming
2. Nonlinear programming

Prof. William D Shoaff, Florida Institute of Technology

1. Analysis of Algorithms

Prof. Gerard Sierksma, University of Groningen and Dr. Yori Zwols, (DeepMind)

1. Linear and Integer Optimization Theory and Practice

Workshops

1. CO@Work 2020

Articles

1. Schrijver, A. (2005). On the history of combinatorial optimization (till 1960). Handbook of Discrete Optimization (K. Aardal, GL Nemhauser, R. Weismantel, eds.).
2. Vielma, J. P. (2015). Mixed integer linear programming formulation techniques. Siam Review, 57(1), 3-57.

Optimization Books

1. 50 Years of Integer Programming 1958–2008
2. A First Course in Combinatorial Optimization (2004, Cambridge University Press) [ Jon Lee ]
3. A First Course in Linear Optimization
4. A First Course in Optimization Theory -Cambridge University Press (1996)
5. A First Course in Optimization
6. A Gentle Introduction to Optimization (2014, Cambridge University Press)
7. A Linear Systems Primer (2010, Birkh?user) Panos J Antsaklis, Anthony N. Michel -
8. A Tutorial on Integer Programming
9. Advanced Optimization and Operations Research
10. Algorithms for minimization without derivatives-Prentice-Hall (1972)
11. Algorithms for Optimization-The MIT Press (2019)
12. An introduction to continuous optimization Foundations and fundamental algorithms (2007, Studentlitteratur AB)
13. An Introduction to Optimization- E. Chong, S. Zak
14. Applied integer programming. Modeling and solution-Wiley (2010)
15. Applied Linear Algebra and Matrix Analysis (2007, Springer) Thomas S. Shores
16. Applied Mathematical Programming MIT
17. Applied Mathematical Programming
18. Applied numerical methods using MATLAB
19. Applied Numerical Methods with MATLAB for Engineers and Scientists (2017, McGraw-Hill Education)
20. Applied Optimal Control_ Optimization, Estimation and Control (1975, Taylor & Francis)
21. Applied Optimization with MATLAB Programming-Wiley-Interscience (2001)
22. Approximate-Dynamic-Programming-for-Operations-Research
23. Calculus, Applications and Theory
24. Column generation
25. combinatorial optimization 2018
26. Combinatorial optimization, polyhedra and efficiency. Vol.A,B,C-Springer (2003)
27. Computational-Methods-of-Linear-Algebra
28. Computing and Optimization
29. Constrained Optimization and Lagrange Multiplier Methods-Athena Scientific (1996)
30. Convex analysis (1970, Princeton University Press)
31. Convex analysis and nonlinear optimization
32. Convex and Conic Optimization
33. Convex optimization algorithms (2015, Athena Scientific) Bertsekas D.P
34. Convex Optimization Fall 2019 [CMU]
35. Convex Optimization
36. Convex-Analysis-and-Global-Optimization
37. Convex-Optimization
38. Elements of Structural Optimization.
39. Encyclopedia of Operations Research and Management Science
40. encyclopedia-of-optimization content 2009
41. encyclopedia-of-optimization-2009 (1)
42. Experiments with MATLAB (2009, Mathworks.com)
43. First-order and Stochastic Optimization Methods for Machine Learning
44. First-Order Methods in Optimization-Society for Industrial and Applied Mathematics (2017)
45. Formulation and Analysis of Linear Programs
46. Foundations of Mathematical Optimization [1997]
47. Foundations of optimization-Springer-Verlag New York (2010)
48. Fundamentals of convex analysis (2001, Springer)
49. Fundamentals of Matrix Analysis with Applications (2016, Wiley) Edward Barry Saff, Arthur David Snider -
50. gems-of-combinatorial-optimization-and-graph-algorithms-2015
51. Gilbert Strang - Introduction to Linear Algebra Fifth Edition (2016 , WELLESLEY -CAMBRIDGE PRESS)
52. Gilbert Strang - Solutions’ Manual for Introduction to Linear Algebra, Fifth Edition (2016, Wellesley-Cambridge Press)
53. Global Optimization Algorithms - Theory and Application
54. Global Optimization Algorithms
55. Global optimization theory, algorithms, and applications (2013, SIAM-Society for Industrial and Applied Mathematics)
56. Global Optimization
57. Integer Programming (1998, Wiley) Laurence C. Wolsey
58. Integer Programming and Network Models-Springer-Verlag Berlin Heidelberg (2000)
59. Integer-and-Combinatorial-Optimization
60. Integer-programming
61. Integrated Methods for Optimization (2012, Springer US)
62. Introduction to Engineering Optimization (Stanford University)
63. Introduction to linear optimization and extensions with MATLAB (2014, CRC Press)
64. Introduction to Linear Optimization
65. Introduction to Linear Programming with MatLab (2018, CRC)
66. Introduction to Mathematical Optimization
67. Introduction to Matrix Analysis and Applications (2014, Springer International Publishing)
68. Introduction to Nonlinear and Global Optimization.
69. Introduction to Nonlinear Optimization Theory, Algorithms, and Applications with MATLAB
70. Introduction to Optimization (2004, Springer-Verlag New York)
71. Introduction to optimization (Polyak,1987)
72. Introduction to Optimum Design (2016, Academic Press)
73. Introduction to the Theory of Nonlinear Optimization (2007, Springer-Verlag Berlin Heidelberg)
74. Introduction-to-Linear-Algebra-4th-Edition
75. introduction-to-the-theory-of-nonlinear-optimization-2007
76. Introductory Lectures on Convex Optimization A Basic Course (2004, Springer US)
77. Introductory Lectures on Convex Programming
78. Iterative Methods for Linear and Nonlinear Equations
79. Iterative Methods for Optimization
80. KKT
81. Lagrange multiplier approach to variational problems and applications (2008)
82. Lagrange-Multipliers
83. Lagrange-type Functions in Constrained Non-Convex Optimization-Springer US (2003)
84. Large Sparse Numerical Optimization (1984, Springer-Verlag Berlin Heidelberg)
85. Large-Scale Numerical Optimization
86. Least Squares Data Fitting with Applications
87. Lectures on Modern Convex Optimization_ Analysis, Algorithms, and Engineering Applications
88. Lectures on Polytopes
89. Lewis HARRY., Zax R. - Essential discrete mathematics for computer science (2019, Princeton University Press)
90. Linear and Integer Optimization Theory and Practice Third Edition-CRC Press (2015)
91. Linear and Integer Programming Made Easy-Springer (2016)
92. Linear and Nonlinear Optimization, Second Edition-Society for Industrial Mathematics (2008)
93. Linear and Nonlinear Programming
94. Linear Optimization and Extensions (1999, Springer-Verlag Berlin Heidelberg)
95. Linear Optimization and Extensions
96. Linear Optimization and Extensions_ Problems and Solutions (2001, Springer)
97. Linear Optimization and Extensions_ Theory and Algorithms (1993, Prentice Hall College Div)
98. Linear optimization_ The simplex workbook-Springer-Verlag New York (2010)
99. Linear Programming - Foundations and Extensions [2014]
100. Linear Programming and Extensions George B. Dantzig
101. Linear Programming and Network Flows-Wiley (2009)
102. Linear Programming Computation (2014, Springer-Verlag Berlin Heidelberg Ping-Qi PAN (auth.) -)
103. Linear Programming Duality.
104. Linear Programming Foundations and Extensions
105. Linear Programming Using MATLAB
106. Linear programming with MATLAB (2007, Society for Industrial Mathematics)
107. Linear programming_ foundations and extensions-Springer US (2014)
108. Linear-programming-Introduction
109. Linear-Programming-Theory-and-extensions
110. Mathematical Optimization and Economic Theory -Society for Industrial Mathematics (1987)
111. Mathematics and Computation
112. methods-of-descent-for-nondifferentiable-optimization-1985
113. Minimization Methods for Non-differentiable Functions
114. Network Programming
115. Nonlinear functional analysis and its applications. Fixed-point theorems Vol.1 (1986, Springer-Verlag Berlin and Heidelberg GmbH & Co. K)
116. Nonlinear functional analysis and its applications. Linear monotone operators Vol.2A (1989, Springer)
117. Nonlinear functional analysis and its applications. Nonlinear monotone operators Vol.2B (1989,
118. Nonlinear functional analysis and its applications. Variational methods and optimization Vol.3 (1984, Springer)
119. Nonlinear Integer Programming Volume 84 __
120. Nonlinear Optimization (2006, Princeton University Press) Andrzej Ruszczyński -
121. Nonlinear Optimization (2019)
122. Nonlinear programming theory and algorithms (2006, Mokhtar S. Bazaraa, Hanif D. Sherali, C. M. Shetty - )
123. Nonlinear programming (1999, Dimitri P. Bertsekas, Dimitri P. Bertsekas - )
124. Nonlinear programming (2010, Lorenz T. Biegler )
125. Nonlinear Programming and Variational Inequality Problems_ A Unified Approach-Springer US (1999)
126. Numerical analysis (2010, Brooks Cole) Burden R.L., Faires J.D. -
127. Numerical Computing with MATLAB
128. Numerical Methods and Optimization in Finance-Academic Prezz (2019)
129. Numerical Methods for Engineers and Scientists Using MATLAB? (2017, CRC Press) Ramin S. Esfandiari -
130. Numerical Methods For Engineers, 7 Ed Steven C. Chapra
131. Numerical Methods for Least Squares Problems (1996, SIAM_ Society for Industrial and Applied Mathematics)
132. Numerical methods for scientists and engineers (1987, Dover)Richard Hamming -
133. Numerical methods for unconstrained optimization and nonlinear equations (1987, Society for Industrial and Applied Mathematics)
134. Numerical Methods Using Matlab (3th Edition) (1999, Prentice Hall)John H. Mathews, Kurtis K. Fink -
135. Numerical Methods Using MATLAB_solution
136. Numerical Optimization (2006, Springer) [Jorge Nocedal, Stephen Wright]
137. Numerical Optimization
138. Numerical Recipes
139. Numerical-Optimization-Theoretical-and-Practical-Aspects-
140. NumericalOptimization_2006_Book
141. On the History of Combinatorial Optimization
142. OP condition
143. Operations Planning_ Mixed Integer Optimization Models-CRC Press (2014)
144. Operations Research Applications and Algorithms (2003) Wayne L. Winston -
145. Operations Research Problems [2014]
146. Optimal Control Systems-CRC Press (2002)
147. Optimal stopping and free-boundary problems-Birkh?user Verlag (2006)
148. Optimization and Chaos-Springer-Verlag Berlin Heidelberg (2000)
149. Optimization and Differentiation-Chapman and Hall_CRC (2018 Simon Serovajsky)
150. Optimization for Industrial Problems
151. Optimization in Economic Theory -Oxford University Press, USA (1990)
152. Optimization in Large Scale Problems.
153. Optimization in Operations Research (2015, Pearson)
154. Optimization Methods in Business Analytics MIT
155. Optimization Methods
156. Optimization over Integers
157. Optimization theory and methods Nonlinear programming (2010, Springer)
158. Optimization
159. Optimization—Theory and Practice [2010]
160. ORIE 6300_ Mathematical Programming I
161. Parallel Combinatorial Optimization (Wiley Series on Parallel and Distributed Computing) (2006, Wiley-Interscience)
162. Polyhedral Computation
163. Practical augmented Lagrangian methods for constrained optimization-(2014)
164. Practical Bilevel Optimization Algorithms and Applications (1998, Springer US)
165. Practical Methods of Optimization, Second Edition (2000) Roger Fletcher -
166. Practical optimization (1981, Gill P., Murray W., Wright M. -)
167. Practical optimization methods with Mathematica applications (2000, Springer)
168. Practical optimization_ algorithms and engineering applications (2007, Springer Andreas Antoniou, Wu-Sheng Lu -
169. Principles of Mathematics in Operations Research [2007]
170. Production Planning by Mixed Integer Programming-Springer (2006)
171. Selected Applications of Convex Optimization (2015, Springer)
172. The-Mathematica-GuideBook-for-Programming
173. Theory of Linear and Integer Programming
174. Thomas’ Calculus Early Transcendentals (2017, Pearson)
175. Understanding and Using Linear Programming