Classical Mechanics and Chaos - Korean Translation / 고전 역학과 카오스: Book 1 of Physics from Maxima
Hardcover
General MathematicsGeneral Science
Publisher: Golden Tao Publishing
Published: Aug 28 2026
Pages: 426
Weight: 1.62
Height: 0.94 Width: 6.00 Depth: 9.00
Language: Korean
This is the Korean translation from the English original.
This book provides a description of classical mechanics, starting with the classic formulations of point particle motion. It wasn't until classical mechanics was already well established that it was realized that there are two domains for motion in many systems: non-chaotic; and chaotic. This is a modern exposition of classical mechanics, thus including chaos theory, and including ties to later theoretical developments as well. The exposition consists, throughout, of the presentation of interesting problems with many solved, the others left for the reader. The problems are drawn from classical mechanics and mathematics courses taken at Caltech, Oxford, and the University of Wisconsin. The courses range from undergraduate level to advanced graduate level. The courses had a rich and sophisticated selection of textbook and reference material, as you might expect, and those reference texts are, similarly, drawn on here. As we progress through the material we will see that we are effectively studying ordinary differential equations of increasing complexity (corresponding to more complicated pendulum motion, for example, such as by adding a frictional force). This strong alignment with the underlying mathematics of ordinary differential equations motivates the placement of an appendix for a quick review of ordinary differential equations from the applied mathematics perspective.
이것은 영어 원문을 번역한 것입니다.
이 책은 점 입자 운동에 대한 고전적인 공식부터 시작하여 고전 역학에 대한 설명을 제공합니다. 고전 역학이 이미 확고히 정립된 후에야 많은 시스템에서 운동에는 비혼돈 영역과 혼돈 영역, 이렇게 두 가지 영역이 존재한다는 사실이 인식되었습니다. 이 책은 현대적 관점에서 고전 역학을 설명하며, 혼돈 이론을 포함하고 이후의 이론적 발전과의 연관성도 다룹니다. 책 전반에 걸쳐 흥미로운 문제들을 제시하고, 많은 문제에 대한 해답을 제공하며, 나머지는 독자가 직접 풀어보도록 남겨두었습니다. 문제들은 캘리포니아 공과대학(Caltech), 옥스퍼드 대학교, 위스콘신 대학교에서 수강했던 고전 역학 및 수학 강의에서 발췌한 것입니다. 강의는 학부 수준부터 대학원 고급 수준까지 다양합니다. 예상하시겠지만, 해당 강의에서는 풍부하고 수준 높은 교재와 참고 자료를 사용했으며, 이 책에서도 마찬가지로 이러한 참고 문헌들을 활용했습니다. 책을 읽어 나가면서 우리는 점점 더 복잡해지는 상미분 방정식을 효과적으로 공부하게 될 것입니다(예를 들어, 마찰력을 추가하는 것과 같이 더욱 복잡해진 진자 운동에 해당합니다). 상미분 방정식의 기본 수학적 원리와의 강력한 연관성 때문에 응용 수학적 관점에서 상미분 방정식을 간략하게 복습하는 부록을 추가했습니다.
이 책은 카오스를 포함한 기본 상미분 방정식 이론에 대한 현대적인 설명 외에도, 고전 역학 이론이 양자 역학 및 특수 상대성 이론과 같은 미래 이론
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