Steven Strogatz es un profesor de matemáticas aplicadas cuyo trabajo profundiza en los patrones y comportamientos elegantes que se encuentran en la naturaleza. Es célebre por su habilidad para iluminar ideas matemáticas complejas, revelando su profunda relevancia para nuestro mundo cotidiano. Strogatz se destaca en hacer accesibles los conceptos abstractos, demostrando el orden y la belleza subyacentes que gobiernan todo, desde los sistemas biológicos hasta las dinámicas sociales. Su escritura invita a los lectores a apreciar la influencia omnipresente de las matemáticas en la configuración de nuestra comprensión del universo.
With Applications to Physics, Biology, Chemistry, and Engineering
532 páginas
19 horas de lectura
Focusing on nonlinear dynamics and chaos, this textbook is designed for beginners, particularly students in their introductory course. It emphasizes analytical techniques, practical examples, and geometric understanding. The material is systematically organized, beginning with first-order differential equations and exploring their bifurcations, making complex concepts accessible to new learners.
How should you flip your mattress to get the maximum wear out of it? How many people should you date before settling down? How does Google search the internet? Why does the stock market swing so often, and so wildly? In this book, the author explains the great ideas of maths, from negative numbers to calculus, and fat tails to infinity.
The tendency to synchronize may be the most mysterious and pervasive drive in all of nature. It has intrigued some of the most brilliant minds of the 20th century, including Albert Einstein, Richard Feynman, Norbert Wiener, Brian Josephson, and Arthur Winfree. At once elegant and riveting, Sync tells the story of the dawn of a new science. Steven Strogatz, a leading mathematician in the fields of chaos and complexity theory, explains how enormous systems can synchronize themselves, from the electrons in a superconductor to the pacemaker cells in our hearts. He shows that although these phenomena might seem unrelated on the surface, at a deeper level there is a connection, forged by the unifying power of mathematics.
The story chronicles an extraordinary connection between a teacher and a student through over thirty years of letters. Their unique relationship is rooted in a shared passion for calculus, which serves as a constant in their lives amid change. The teacher transitions from a successful career to retirement, competes in international whitewater kayaking, and faces the loss of a son. Meanwhile, the student evolves from a high school math prodigy to an Ivy League professor, grappling with the sudden death of a parent and a troubled marriage. Throughout these challenges, they find solace in calculus—until it eventually proves insufficient. This narrative mirrors the essence of calculus itself, exploring themes of change and transformation as the student and teacher navigate life's complexities and reverse roles over time. Written by a celebrated mathematics educator, the work is warm, intimate, and deeply moving. It presents inspiring concepts of calculus, differential equations, and chaos theory through engaging metaphors and anecdotes, making it accessible to all readers. Math enthusiasts, from high school students to professionals, will appreciate the unique problems and clear explanations in their correspondence. For anyone influenced by a mentor, this journey will resonate profoundly.
Průvodce matematikou od jedné do nekonečna. Kolem matematiky se točí celý moderní svět, je však mezi námi mnoho lidí, kterým se jejich první setkání s ní nevyvedlo a kteří mají místo potěšení a užitku z matematiky spíše strach. Zejména jim je určena kniha profesora aplikované matematiky Stevena Strogatze. V jednoduchých krocích vykládá základní pojmy, přístupy i historii moderní matematiky, u čtenáře přitom nepředpokládá nic víc než zdravý rozum a přirozenou zvídavost. Nejde mu však o to, aby se čtenář naučil s matematikou pracovat – jeho hlavním cílem je, aby z toho měl radost, aby mu zprostředkoval estetický požitek z matematického myšlení, z nalézání souvislostí mezi nejrůznějšími strukturami našeho světa. Zkrátka však nepřijde ani čtenář, který o matematice ví své: i profesionální matematici si často nejsou vědomi souvislostí, které považují za dané a dále o nich neuvažují. I jim má co poskytnout výklad, který sice začíná na úplném začátku, ale neklade si žádnou horní mez. Doslova totiž platí, že nás Radost z x provede světem myšlení od jedné až do nekonečna.
