Brief Information Name : Topology 1 Lecturer : 송형수 Semester : 2015 Spring Course :?BS, Mathematics Textbook 송형수. (2010) 위상수학: PBL(문제중심학습). 교우사 Syllabus 😕Syllabus_2015-4-1__Topology 1 In?short General Topology Trace lectures Topology Topological space Open set Different types of topologies Assignments Summarize?themes
Brief Information Name : Vector Calculus and Exercises Lecturer : 강영옥 Semester : 2014 Winter Course :?Liberal arts Textbook 송영권, 송형수, 이종우, 이흥수, 지은숙, 허민 (2009) 벡터해석. 교우사 Thomas, G., B. (2006) 미분적분학. 11 Ed. 자유아카데미 Syllabus 😕Syllabus__Vector Calculus and Exercises In?short This lecture focused on understanding vector calculus by intuition rather than?by?strict?mathematical proof. Vector […]
Purpose Foundation of statistics Every event in the universe can be described as its probability. It is important and useful to deeply understanding??what probability is. References Shiryaev, A. N. (1995) Probability. 2nd Ed. Springer.?978-0387945491 I chose this book for great reviews in amazon.com Ross, S. (2012)?A First Course in Probability. 9th Ed. Pearson
Prerequisites calculus, linear algebra. Key words geometry, curves, surfaces Euclidean space Euclidean geometry, Riemannian geometry ?Reference O’Neill, B. (2006)?Elementary differential geometry. revised 2nd Ed. Academic press prerequisite : calculus, linear algebra Oprea, J. (2007)?Differential geometry and its applications. 2nd Ed. The Mathematical Association of America
Reference Set theory – Wikipedia Best Sellers in Mathematical Set Theory – amazon.com 송형수 (2008)?기초 집합론. 교우사 You-Feng Lin and Shwu-Yeng T. Lin(1999)?Set theory: An intuitive approach. Kyung Moon Publishers. Hrbacek, K. and Jech, T. (1999)?Introduction to Set Theory. 3rd Ed Revised and Expanded. Marcel Dekker Lipschutz, S. (1998)?Schaum’s Outline of Set Theory and Related […]
Reference Best Sellers in Linear Algebra – amazon.com Anton, H. and Roress, C. (2011) Elementary Linear Algebra. International 10th Ed. Wiley LU Decomposition | MIT 18.06SC Linear Algebra, Fall 2011?-?YouTube Strang LA with applications Graduate text springer LA
Reference Rudin, W. (2006)?Principles of Mathematical Analysis. 3rd Ed. McGraw-Hill Bartle, R. G. & Sherbert, D. R. (2011)?Introduction to Real Analysis. 4th Ed. John Wiley & Sons Fulks, W. (1978)?Advanced Calculus:?An Introduction to Analysis.?3rd Ed. John Wiley & Sons Stoll, M. (2000)?Introduction to Real Analysis, 2nd Ed. Pearson
Reference Colin, A., & Franzosa, R. (2007), Introduction to Topology: Pure and Applied, Pearson Medelson (1990), Introduction to Topology: Third Edition, Dover Publication Munkres (2000), Toplogy (2nd Edition), Pearson 송형수 (2010), 위상수학: PBL 문제중심학습, 교우사 송형수 (2007), 위상수학: 점-집합 위상수학의 기초이론과 연습, 교우사