Book

Mathematica in Action

📖 Overview

Mathematica in Action provides a practical guide to solving mathematical problems using Wolfram's Mathematica software. The book covers applications across multiple mathematical domains including calculus, number theory, geometry, and graphics programming. Each chapter focuses on specific mathematical concepts and demonstrates how to implement solutions in Mathematica through worked examples and programming code. The text integrates mathematical theory with computational methods, showing how computer algebra systems can enhance understanding of complex mathematical ideas. Readers progress from basic Mathematica commands to advanced programming techniques for visualization and problem-solving. The included exercises and projects allow for hands-on practice with the concepts presented. This work serves as a bridge between theoretical mathematics and practical computational methods, demonstrating how modern software tools can transform abstract mathematical concepts into concrete results. The emphasis on visual representation and interactive exploration makes advanced mathematics more accessible to students and practitioners.

👀 Reviews

Readers find this book works best as a reference guide for Mathematica users who already know programming basics. Multiple reviews note it demonstrates practical mathematical problem-solving through detailed examples. Liked: - Clear explanations of complex mathematical concepts - Real-world applications and case studies - Code samples that can be modified for similar problems - Coverage of both basic and advanced Mathematica functions Disliked: - Some examples dated due to newer Mathematica versions - Assumes prior mathematics knowledge - Dense material requires careful study - Price point considered high by students Ratings: Goodreads: 4.0/5 (12 ratings) Amazon: 4.2/5 (15 reviews) One reader on Amazon notes: "The examples taught me more about both mathematics and Mathematica than any other resource." A Goodreads reviewer counters: "Some sections require graduate-level math background to follow along."

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🤔 Interesting facts

🔢 Stan Wagon's book transforms complex mathematical concepts into vivid, practical applications using Mathematica software - including explorations of the famous "moving sofa problem" and other geometric puzzles. 🌟 First published in 1991, this book became one of the earliest and most influential texts showing how computer algebra systems could revolutionize mathematical exploration and education. 🎓 The author, Stan Wagon, is not only a mathematician but also an accomplished cross-country skier who builds elaborate geometric snow sculptures during winter months in Colorado. 💡 The book demonstrates how to solve the "squaring the square" problem - dividing a square into smaller squares of different sizes - using computational methods that would be nearly impossible to work out by hand. 🔄 Each new edition of the book has incorporated emerging mathematical discoveries, including updates on the Collatz conjecture and primality testing algorithms, making it a living document of mathematical progress.