Train Your Brain: Challenging Yet Elementary Mathematics
暫譯: 訓練你的大腦：具挑戰性但基礎的數學
Kaminski, Bogumil, Pralat, Pawel
- 出版商: CRC
- 出版日期: 2020-12-31
- 售價: $2,190
- 貴賓價: 9.5 折 $2,081
- 語言: 英文
- 頁數: 338
- 裝訂: Quality Paper - also called trade paper
- ISBN: 0367564874
- ISBN-13: 9780367564872
海外代購書籍(需單獨結帳)
商品描述
This accessible book helps readers to see the bigger picture of advanced mathematics. The book contains carefully selected, challenging problems in an easy-to-follow, step-by-step process. Neither prior preparation nor any mathematical sophistication is required.
The authors guide the reader to "train their brain" to think and express themselves in a rigorous, mathematical way, and to extract facts, analyze the problem, and identify main challenges. A firm foundation in a diverse range of topics is presented. Moreover, the authors show how to draw appropriate, true conclusions. Computer support is used to better intuition into discussed problems.
The book is designed for self-study. It can be used to bridge the gap between introductory calculus/linear algebra courses and more advanced courses offered at universities. It improves the ability to read, write, and think in a rigorous, mature mathematical fashion. The reader will develop a deeper understanding in preparation to succeed in more advanced course work.Features
-The authors employ a six-step process:
2.PROBLEM
3.THEORY
4.SOLUTION
5.REMARK
6.EXERCISES
-An Appendix introduces programming in Julia
This book is also suitable for high school students that are interested in competing in math competitions or simply for people of all ages and backgrounds who want to expand their knowledge and to challenge themselves with interesting questions.
商品描述(中文翻譯)
這本易於理解的書籍幫助讀者看到高級數學的全貌。書中包含精心挑選的挑戰性問題，並以易於跟隨的逐步過程呈現。讀者不需要任何先前的準備或數學知識。
作者引導讀者「訓練他們的大腦」，以嚴謹的數學方式思考和表達自己，並提取事實、分析問題和識別主要挑戰。書中呈現了多樣主題的堅實基礎。此外，作者展示了如何得出適當且真實的結論。書中使用計算機輔助來增進對所討論問題的直覺理解。
這本書設計為自學使用。它可以用來填補入門微積分/線性代數課程與大學提供的更高級課程之間的鴻溝。它提高了以嚴謹、成熟的數學方式閱讀、寫作和思考的能力。讀者將在準備更高級課程的過程中發展出更深刻的理解。
特色
- 作者採用六步驟過程：
1. SOURCE
2. PROBLEM
3. THEORY
4. SOLUTION
5. REMARK
6. EXERCISES
- 附錄介紹了 Julia 程式設計
這本書也適合對數學競賽感興趣的高中生，或是任何年齡和背景的人，想要擴展知識並挑戰自己以有趣的問題。
作者簡介
The book contains carefully selected, challenging problems to prepare readers for rigorous mathematics. Neither prior preparation nor any mathematical sophistication is required. The authors guide the readers to think and express themselves in a rigorous, mathematical way, to extract facts, analyze the problem, and identify main challenges. Moreover, they show how to draw appropriate, true conclusions and to see a big picture.
Readers are provided with a firm foundation in a diverse range of topics. Computer support is used to build a better intuition into discussed problems. The book can be used to bridge the gap between introductory calculus/linear algebra courses and more advanced courses that are offered at universities. It improves the ability to read, write, and think in a rigorous, mature mathematical fashion. It provides a solid foundation of various topics that would be useful for more advanced courses.
The content of this book is also suitable for high school students that are interested in competing in math competitions or simply for people of all ages and backgrounds who want to expand their knowledge and to challenge themselves with interesting questions.
Features
The authors employ a six-step process:
- SOURCE
- PROBLEM
- THEORY
- SOLUTION
- REMARKS
- EXERCISES
All exercises are followed by hints and solutions given at the end of the book.
Additionally, the book is enhanced by a "Julia language companion" available on-line that contains an introduction to the Julia language programming and detailed explanations of the codes used in the book.
作者簡介(中文翻譯)
這本書包含精心挑選的挑戰性問題，以幫助讀者為嚴謹的數學做準備。讀者不需要任何先前的準備或數學知識。作者引導讀者以嚴謹的數學方式思考和表達自己，提取事實、分析問題並識別主要挑戰。此外，他們展示了如何得出適當且真實的結論，並看到全局。
讀者將在多樣的主題中獲得堅實的基礎。書中使用計算機輔助來增強對所討論問題的直覺。這本書可以用來彌補大學中初級微積分/線性代數課程與更高級課程之間的差距。它提高了以嚴謹、成熟的數學方式閱讀、寫作和思考的能力。它提供了各種主題的堅實基礎，對於更高級的課程將會非常有用。
這本書的內容也適合對數學競賽感興趣的高中生，或是任何年齡和背景的人，想要擴展知識並挑戰自己以有趣的問題。
特點
作者採用六步驟過程：
- SOURCE
- PROBLEM
- THEORY
- SOLUTION
- REMARKS
- EXERCISES
所有練習後面都有提示和解答，這些解答在書的末尾提供。
此外，這本書還增強了一個在線的「Julia 語言伴侶」，其中包含對 Julia 語言編程的介紹以及書中使用的代碼的詳細解釋。
