In 'The Nature of Mathematical Modeling', Neil A. Gershenfeld explores the intertwining of mathematics and real-world phenomena. He unveils how mathematical models serve as powerful tools for understanding and predicting complex systems in various fields. Through captivating examples, Gershenfeld illustrates the dynamic process of modeling—from conception to execution. Readers are invited to ponder the implications of these models on technology, science, and everyday life. This thought-provoking journey tempts readers to reconsider the way they view both math and the world around them.
By Neil A. Gershenfeld
Published: 1999
"Mathematics is not just a tool for describing the universe; it is a language through which we interpret the very fabric of reality itself."
This is a book about the nature of mathematical modeling, and about the kinds of techniques that are useful for modeling. The text is in four sections. The first covers exact and approximate analytical techniques; the second, numerical methods; the third, model inference based on observations; and the last, the special role of time in modeling. Each of the topics in the book would be the worthy subject of a dedicated text, but only by presenting the material in this way is it possible to make so much material accessible to so many people. Each chapter presents a concise summary of the core results in an area. The text is complemented by extensive worked problems.
Showing 8 of 30 similar books
Dan Engle is a renowned psychiatrist and author recognized for his pioneering work in integrative psychiatry, neurocognitive restoration, and peak performance medicine. He has made significant contributions through his book "The Concussion Repair Manual," which provides a comprehensive guide to recovering from traumatic brain injuries. Engle's expertise extends beyond traditional medicine, incorporating holistic approaches and cutting-edge therapies to promote mental health and wellness. He is also a sought-after speaker and consultant, sharing his insights on brain health and personal transformation globally. Engle's work continues to influence and inspire both medical professionals and those seeking to optimize their cognitive and emotional well-being.
Keith Rabois is a prominent American entrepreneur, investor, and author known for his significant contributions to the tech industry and startup ecosystem. He played crucial roles in the early success of companies like PayPal, LinkedIn, Square, and Yelp, earning a reputation as a skilled operator and strategic thinker. As a partner at Founders Fund and later at Khosla Ventures, Rabois has invested in and advised numerous successful startups. In addition to his business ventures, he has written insightful articles and essays on technology, entrepreneurship, and innovation, contributing to the broader discourse on these subjects. Rabois continues to influence the tech world with his strategic insights and thought leadership.
Mark Zuckerberg is an American technology entrepreneur best known for co-founding Facebook, the world's largest social media platform, which transformed global communication. Born on May 14, 1984, in White Plains, New York, he launched Facebook in 2004 while attending Harvard University. Under his leadership, Facebook expanded rapidly, influencing the social media landscape and digital advertising. Zuckerberg has also authored numerous articles and essays on technology, innovation, and the future of the internet. His work has had a profound impact on how people connect and share information in the digital age.
Brad Feld is a prominent American entrepreneur, venture capitalist, and author known for his influential work in the startup ecosystem. Co-founder of the Foundry Group, he has played a pivotal role in funding and mentoring early-stage technology companies. Feld is also a key figure behind the Techstars accelerator program, which has helped launch numerous successful startups. As an author, he has penned several essential books on entrepreneurship and venture capital, including "Venture Deals" and "Startup Communities," which provide invaluable insights for aspiring entrepreneurs and investors. His writings and active blogging have cemented his reputation as a thought leader in the tech and startup communities.
Bill Gates, co-founder of Microsoft Corporation, is a pioneering figure in the tech industry, having played a key role in the personal computer revolution. His work at Microsoft, particularly the development of Windows, transformed software and computing globally. Beyond his technology contributions, Gates is also a prolific author, with notable works such as "The Road Ahead" and "Business @ the Speed of Thought," which offer insights into the future of technology and business. Additionally, his philanthropic efforts through the Bill & Melinda Gates Foundation have had a profound impact on global health, education, and poverty. Gates continues to influence both technology and literature with his forward-thinking perspectives and innovative ideas.
Noam Chomsky, born December 7, 1928, is an influential American linguist, philosopher, cognitive scientist, historian, and social critic. He revolutionized the field of linguistics with his theory of generative grammar, particularly through his seminal work, "Syntactic Structures" (1957). Chomsky's contributions extend beyond linguistics to political activism, where he is known for his critiques of U.S. foreign policy and media, encapsulated in works like "Manufacturing Consent" (1988). As a professor emeritus at MIT, his interdisciplinary approach has significantly impacted cognitive science, philosophy of language, and political thought. Chomsky remains a prolific author and speaker, continuing to shape academic and public discourses.
Bret Victor is a renowned American interface designer and computer scientist celebrated for his innovative contributions to interactive design and human-computer interaction. He is best known for creating dynamic, explorable explanations, which have significantly influenced the way educational content is presented and understood. Victor's seminal work, "Inventing on Principle," advocates for the integration of immediate feedback in creative processes, inspiring a new wave of interactive programming environments. As a former member of the Apple Human Interface team, he played a pivotal role in shaping modern user interfaces. Through his organization, Dynamicland, Victor continues to explore and expand the boundaries of immersive, collaborative computing environments.
“Mathematics is not just a tool for describing the universe; it is a language through which we interpret the very fabric of reality itself.”
The Nature of Mathematical Modeling
By Neil A. Gershenfeld
Discover a world of knowledge through our extensive collection of book summaries.
Neil A. Gershenfeld is a renowned physicist, author, and educator best known for his work in the field of digital fabrication and the intersection of technology and the arts. He is the director of the MIT Center for Bits and Atoms, where he explores the integration of physical and digital making. Gershenfeld's notable works include "Fab: The Coming Revolution on Your Desktop—From Personal Computers to Personal Fabrication," which highlights the future of digital fabrication, and "How to Make Almost Anything: The Digital Fabrication Revolution," which delves into the DIY culture of creating with technology. His writing style is characterized by its accessibility and engaging narrative, making complex scientific concepts understandable to a broad audience. Gershenfeld's contributions extend beyond academia, as he advocates for the democratization of technology, empowering individuals to innovate and create.
Key information about the book.
Support local bookstores: BookShop gives a portion of each sale to independent bookshops!
In "How Google Works", Eric Schmidt and Jonathan Rosenberg unveil the inner workings of one of the world's most innovative companies. Delving into the intersection of technology, business strategy, and culture, they explore how flexibility and creativity fuel Google's success. The authors share insider anecdotes and pivotal lessons about fostering collaboration and embracing change in a fast-paced digital landscape. You’ll discover the vital role data plays in decision-making and how to cultivate a "smart creatives" mindset. Prepare to be inspired by the blueprint of a company that has revolutionized not just the tech industry, but the very way we navigate information itself.
Introduction to Algorithms is a definitive guide that demystifies the art of algorithm design and analysis. Packed with clear explanations and illustrative examples, it reveals the underlying principles that drive computer science. Each chapter transforms complex topics into digestible insights, making it suitable for both novices and seasoned programmers. From sorting algorithms to graph theory, the book elucidates how these concepts shape our digital world. Dive in and discover how mastering algorithms can unlock solutions to some of the most challenging problems in technology today!
In "Hard Drive," authors James Wallace and Jim Erickson delve into the fascinating world of computer technology, revealing the untold stories behind the creation of the hard drive—an invention that revolutionized how we store and access information. They explore the fierce competition among engineers, the challenges of innovation, and the triumphs that led to the digital age. Through riveting anecdotes and insider insights, the book uncovers the personalities and passions driving this technology forward. As you journey through the captivating history of the hard drive, you'll discover how its development shaped our modern lives in unimaginable ways. Prepare to be intrigued by the intertwined destinies of hardware and human ambition!
In 'Makers,' Chris Anderson explores the revolutionary movement of DIY innovation that is reshaping our economy and culture. He introduces the rise of 3D printing, robotics, and open-source technologies that empower everyday creators to become entrepreneurs. The book reveals how this grassroots revolution is set to democratize manufacturing and inspire a new era of creativity and invention. Anderson highlights fascinating stories of makers who are transforming their ideas into tangible products, mingling technology with artistry. Dive into a world where possibilities are limited only by imagination!
In 'The Beginning of Infinity', David Deutsch challenges our understanding of knowledge and the universe, proposing that all problems are solvable with the right approach. He delves into the philosophy of science, technology, and human progress, suggesting that the pursuit of knowledge is a never-ending journey. Deutsch argues that explanations, rather than mere observations, are the key to comprehending reality. With provocative insights, he explores the implications of infinite possibilities and the potential of human creativity. This thought-provoking read ignites curiosity about the boundless nature of discovery and the future of humanity.
In 'In the Plex', Steven Levy takes readers deep inside the inner workings of Google, exploring its innovative culture and groundbreaking technologies. Through captivating anecdotes and insightful interviews, he reveals how Google's quest for information reshapes our digital landscape and influences everyday life. The book delves into the minds of its founders, the challenges they've faced, and the ethical dilemmas that arise from their ambitions. As Levy paints a vivid picture of this tech giant, he invites readers to ponder the implications of living in a world dominated by algorithms. This insightful examination not only uncovers the magic behind one of the world's most influential companies but also challenges us to consider the future of technology itself.
In 'The Code Breaker', Walter Isaacson delves into the captivating world of CRISPR gene-editing technology, following the brilliant mind of Jennifer Doudna. This gripping narrative explores the ethical dilemmas and scientific breakthroughs that come with harnessing the power to edit life itself. As researchers grapple with the implications of their discoveries, readers are invited into a fast-paced journey that intertwines science, ambition, and morality. With vivid stories of personal triumphs and challenges, Isaacson raises profound questions about the future of humanity. Will unlocking the secrets of our DNA lead to a utopia or unforeseen consequences?
In 'Shaping the Future of the Fourth Industrial Revolution', Klaus Schwab and Nicholas Davis explore the transformative impact of emerging technologies on society, economy, and governance. They argue that as we stand on the brink of this revolution, it is essential to consider the ethical implications of our innovations. The authors pose thought-provoking questions about equality, privacy, and the future of work, urging readers to take an active role in shaping this future. Drawing on real-world examples, they reveal how collaboration between leaders, businesses, and citizens can harness the power of technology for the greater good. Prepare to rethink progress and envision a world that prioritizes human values amidst rapid technological changes.