Calculus and Linear Algebra in Recipes: Terms, Theorems and Numerous Examples in Short Learning Units
暫譯: 食譜中的微積分與線性代數:術語、定理及多個短學習單元的範例
Karpfinger, Christian
- 出版商: Springer
- 出版日期: 2026-04-10
- 售價: $4,280
- 貴賓價: 9.5 折 $4,066
- 語言: 英文
- 頁數: 1049
- 裝訂: Quality Paper - also called trade paper
- ISBN: 366272622X
- ISBN-13: 9783662726228
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相關分類:
工程數學 Engineering-mathematics
海外代購書籍(需單獨結帳)
商品描述
This book provides a clear and easy-to-understand introduction to higher mathematics with numerous examples. The author shows how to solve typical problems in a recipe-like manner and divides the material into short, easily digestible learning units.
Have you ever cooked a 3-course meal based on a recipe? That generally works quite well, even if you are not a great cook. What does this have to do with mathematics? Well, you can solve a lot of math problems recipe-wise: Need to solve a Riccati's differential equation or the singular value decomposition of a matrix? Look it up in this book, you'll find a recipe for it here. Recipes are available for problems from the field of:
- Calculus in one and more variables,
- Linear algebra,
- Vector analysis,
- Theory on differential equations, ordinary and partial,
- Theory of integral transformations,
- Function theory.
Other features of this book include:
- The division of Higher Mathematics into approximately 100 chapters of roughly equal length. Each chapter covers approximately the material of a 90-minute lecture.
- Numerous exercises and solutions
- Many problems in higher mathematics can be solved with computers. We always indicate how it works with MATLAB(R).
This 2nd English edition has been completely revised and numerous examples, illustrations, explanations and further exercises have been added.
商品描述(中文翻譯)
這本書提供了一個清晰且易於理解的高等數學入門,並附有大量範例。作者以類似食譜的方式展示如何解決典型問題,並將內容劃分為短小、易於消化的學習單元。
你曾經根據食譜烹飪過三道菜的餐點嗎?即使你不是一位出色的廚師,這通常也能相當順利。這與數學有什麼關係呢?其實,你可以用食譜的方式解決許多數學問題:需要解決 Riccati 微分方程或矩陣的奇異值分解嗎?在這本書中查找,你會找到相應的解法。這裡提供的食譜涵蓋以下領域的問題:
- 一元及多元微積分,
- 線性代數,
- 向量分析,
- 常微分方程及偏微分方程的理論,
- 積分變換的理論,
- 函數理論。
這本書的其他特點包括:
- 將高等數學劃分為約 100 章,長度大致相等。每一章大約涵蓋一堂 90 分鐘的講座內容。
- 大量的練習題和解答。
- 許多高等數學問題可以用電腦解決。我們始終會指示如何使用 MATLAB(R) 來實現。
這本第二版英文版已經完全修訂,並新增了許多範例、插圖、解釋和進一步的練習題。
作者簡介
Prof. Dr. Christian Karpfinger teaches at the Technical University of Munich; in 2004 he was awarded the State Teaching Award of the Free State of Bavaria.
作者簡介(中文翻譯)
教授克里斯蒂安·卡普芬格(Prof. Dr. Christian Karpfinger)在慕尼黑工業大學任教;他於2004年獲得巴伐利亞自由州的州教學獎。