Recommended Readings
| Set theory |
An Intuitive Approach , You - Feng Lin / Shwu - Yeng T. Lin Set theory by Charles C. Pinters |
|---|---|
| Discrete mathematics |
Discrete Mathematics (6th Edition) , " Richard Johnsonbaugh" Discrete Mathematics and Its Applications (6th Edition) , by Kenneth H. Rosen Discrete Structures, Logic, and Computability “James L. Hein” |
| Analysis | Principles of Mathematical Analysis, ” Walter Rudin “ |
| Linear algebra |
Linear Algebra and Matrix Theory by Gilbert/Gilbert Linear Algebra and Its Applications by Gilbert Strang |
| Number theory |
Elementary Number Theory and Its Application, Kenneth H. Rosen Linear Algebra and Its Applications by Gilbert Strang |
| Differential equations | Elementary differential equations and boundary value problems, “Boyce and Diprima” |
| Complex analysis | Complex Variables., ” Silberman“ - Complex analysis., ” Gamline “ |
| Abstract algebra | Contemporary Abstract Algebra, 6th Edtion, by Joseph A. Gallian |
| Differential geometry |
*Yang Seong-Deog’s Lecture Notes on Differential Geometry, ”Yang Seong-Deog” Modern Differential Geometry of Curves and Surfaces with Mathematica “Alfred Gray” Differential Geometry of Curves and Surfaces by Do Carmo. Differential Geometry by Spivak |
| Topology |
Nasar, Sylvis Topology by J. Munkres |
| Real analysis |
Real and Complex Analysis,"Walter Rudin" Lebesgue Integration on Euclidean Spaces “Frank Jones“ Real Analysis ” H. Royden “ |
| Probability and Statistics | Probability and Statistics for Engineers and Scientists by Walpole, Myers, Meyers, Ye |
| Partial differential equations | Partial Differential Equations with fourier series and boundary value problems, ”Asmar, Nakhle“ |
| Financial mathematics | An Introduction to Financial Option Valuation, “Desmond J. Higham” |
| Fermat’s Last Theorem |
By Simon Singh / Translated by Park Byung-chul This book offers an easy-to-understand introduction to Fermat’s last theorem. |
| The Joy of Learning |
By Heisuke Hironaka / Translated by Bang Seung-yang This is the autobiography of Heisuke Hironaka, who won the Fields Medal for algebraic geometry. |
| The Man Who Loved Only Numbers |
By Paul Hoffman / Translated by Shin Hyun-yong This book describes the life of the mathematician Paul Erdős. |
| A Mathematician’s Apology |
By G.H. Hardy / Translated by Jeong Hoe-seong This is a memoir by the British mathematician G.H. Hardy. |
| The Man Who Knew Infinity |
By Robert Kanigel / Translated by Kim In-su This book introduces the Indian mathematician Ramanujan and his contribution to number theory. |
| Gödel: A Life of Logic |
John Casti, Werner DePauli This is a well-written book on Gödel. However, it does not contain the proof for Gödel’s incompleteness theorem. |
| The Mystery of the Aleph |
By Amir Aczel / Translated by Shin Hyun-yong & Seung Yeong-jo This book explains the concept of infinity. |
| Prime Obsession |
By John Derbyshire / Translated by Park Byung-chul This book covers the Riemann hypothesis. |
| Uncle Petros and Goldbach's Conjecture |
By Apostolos Doxiadis / Translated by Jeong Hoe-seong This book is based on the simple idea that any even number is the sum of two primes. Paul Erdős once claimed that humans are not yet ready to tackle this problem. |
| A Beautiful Mind |
Sylvia Nasar This book introduces the life and work of John Nash. Unlike the movie, it is more of a factual record. |