Numerical Methods Using Kotlin: For Data Science, Analysis, and Engineering

This in-depth guide covers a wide range of topics, including chapters on linear algebra, root finding, curve fitting, differentiation and integration, solving differential equations, random numbers and simulation, a whole suite of unconstrained and constrained optimization algorithms, statistics, regression and time series analysis. The mathematical concepts behind the algorithms are clearly explained, with plenty of code examples and illustrations to help even beginners get started.
In this book, you'll implement numerical algorithms in Kotlin using NM Dev, an object-oriented and high-performance programming library for applied and industrial mathematics. Discover how Kotlin has many advantages over Java in its speed, and in some cases, ease of use. In this book, you'll see how it can help you easily create solutions for your complex engineering and data science problems.
After reading this book, you'll come away with the knowledge to create your own numerical models and algorithms using the Kotlin programming language.
What You Will Learn

• Program in Kotlin using a high-performance numerical library
• Learn the mathematics necessary for a wide range of numerical computing algorithms
• Convert ideas and equations into code
• Put together algorithms and classes to build your own engineering solutions
• Build solvers for industrial optimization problems
• Perform data analysis using basic and advanced statistics

Who This Book Is For
Programmers, data scientists, and analysts with prior experience programming in any language, especially Kotlin or Java.

這本深入指南涵蓋了多個主題，包括線性代數、根尋找、曲線擬合、微分和積分、解微分方程、隨機數和模擬、一整套無約束和有約束的優化算法、統計學、回歸和時間序列分析。本書清楚解釋了算法背後的數學概念，並提供了大量的代碼示例和插圖，以幫助初學者入門。

在本書中，您將使用NM Dev這個面向對象且高性能的應用和工業數學編程庫，在Kotlin中實現數值算法。發現Kotlin在速度和某些情況下的易用性方面相比Java具有許多優勢。在本書中，您將看到它如何幫助您輕鬆解決複雜的工程和數據科學問題。

閱讀本書後，您將獲得使用Kotlin編程語言創建自己的數值模型和算法的知識。

您將學到什麼：
- 使用高性能數值庫在Kotlin中編程
- 學習各種數值計算算法所需的數學知識
- 將想法和方程轉換為代碼
- 組合算法和類來構建自己的工程解決方案
- 為工業優化問題構建求解器
- 使用基本和高級統計學進行數據分析

本書適合對編程有先前經驗的程序員、數據科學家和分析師，尤其是具有Kotlin或Java編程經驗的讀者。

Haksun Li, PhD, is founder of NM Group, a scientific and mathematical research company. He has the vision of "Making the World Better Using Mathematics". Under his leadership, the firm serves worldwide brokerage houses and funds, multinational corporations and very high net worth individuals. Haksun is an expert in options trading, asset allocation, portfolio optimization and fixed-income product pricing. He has coded up a variety of numerical software, including SuanShu (a library of numerical methods), NM Dev (a library of numerical methods), AlgoQuant (a library for financial analytics), NMRMS (a portfolio management system for equities), and supercurve (a fixed-income options pricing system). Prior to this, Haksun was a quantitative trader/quantitative analyst with multiple investment banks. He has worked in New York, London, Tokyo, and Singapore. Additionally, Haksun is the vice dean of the Big Data Finance and Investment Institute of Fudan University, China. He was an adjunct professor with multiple universities. He has taught at the National University of Singapore (mathematics), Nanyang Technological University (business school), Fudan University (economics), as well as Hong Kong University of Science and Technology (mathematics). Dr. Haksun Li has a B.S. and M.S. in pure and financial mathematics from the University of Chicago, and an M.S. and a PhD in computer science and engineering from the University of Michigan, Ann Arbor.

Haksun Li, PhD，是NM Group的創始人，一家科學和數學研究公司。他擁有「運用數學使世界更美好」的願景。在他的領導下，該公司為全球的券商、基金、跨國公司和高資產淨值個人提供服務。Haksun是期權交易、資產配置、投資組合優化和固定收益產品定價方面的專家。他編寫了各種數值軟件，包括SuanShu（一個數值方法庫）、NM Dev（一個數值方法庫）、AlgoQuant（一個金融分析庫）、NMRMS（一個股票投資組合管理系統）和supercurve（一個固定收益期權定價系統）。在此之前，Haksun曾是多家投資銀行的量化交易員/量化分析師。他曾在紐約、倫敦、東京和新加坡工作。此外，Haksun還是中國復旦大學大數據金融與投資研究院的副院長。他曾擔任多所大學的兼職教授，包括新加坡國立大學（數學）、南洋理工大學（商學院）、復旦大學（經濟學）以及香港科技大學（數學）。Haksun Li博士擁有芝加哥大學的純數學和金融數學學士和碩士學位，以及密歇根大學安娜堡分校的計算機科學和工程學碩士和博士學位。