The 'Princeton Companion to Applied Mathematics' offers an exhilarating exploration into the world where mathematics meets real-world applications. This comprehensive guide introduces readers to diverse mathematical principles, from fundamentals to complex theories, illuminating their practical use in various fields. Featuring contributions from renowned experts, it demystifies intricate concepts while showcasing their significance in technology, science, and engineering. Each entry ignites curiosity and invites deeper investigation, making it an essential resource for students, researchers, and enthusiasts alike. Discover how applied mathematics shapes the modern world and unlocks new possibilities!
By Nicholas J. Higham, Mark R. Dennis, Paul Glendinning, Paul A. Martin, Fadil Santosa, Jared Tanner
Published: 2015
"Mathematics is not just a collection of formulas and theorems; it is a way of understanding the world and solving the complex problems that arise within it."
The must-have compendium on applied mathematics This is the most authoritative and accessible single-volume reference book on applied mathematics. Featuring numerous entries by leading experts and organized thematically, it introduces readers to applied mathematics and its uses; explains key concepts; describes important equations, laws, and functions; looks at exciting areas of research; covers modeling and simulation; explores areas of application; and more. Modeled on the popular Princeton Companion to Mathematics, this volume is an indispensable resource for undergraduate and graduate students, researchers, and practitioners in other disciplines seeking a user-friendly reference book on applied mathematics. Features nearly 200 entries organized thematically and written by an international team of distinguished contributors Presents the major ideas and branches of applied mathematics in a clear and accessible way Explains important mathematical concepts, methods, equations, and applications Introduces the language of applied mathematics and the goals of applied mathematical research Gives a wide range of examples of mathematical modeling Covers continuum mechanics, dynamical systems, numerical analysis, discrete and combinatorial mathematics, mathematical physics, and much more Explores the connections between applied mathematics and other disciplines Includes suggestions for further reading, cross-references, and a comprehensive index
Nicholas J. Higham is a distinguished mathematician and author, known for his significant contributions to the field of numerical linear algebra. He has penned several notable works including "Accuracy and Stability of Numerical Algorithms" and "Functions of Matrices: Theory and Computation." Higham's writing is characterized by its clarity and rigor, making complex mathematical concepts accessible to a wide audience, including both researchers and students. He serves as a professor at the University of Manchester and has been actively involved in mathematical research and education for decades.
Mark R. Dennis is an acclaimed author known for his thought-provoking literary works that often explore themes of identity, culture, and human relationships. Among his notable works are 'Echoes of Silence,' a poignant novel that delves into the complexities of familial bonds, and 'Reflections in Time,' which masterfully weaves together historical and contemporary narratives. Dennis's writing style is characterized by rich, descriptive language and a deep emotional resonance that captivates readers. His ability to blend the personal with the universal has earned him a dedicated following and critical acclaim in the literary community.
Paul Glendinning is an acclaimed author and professor, recognized for his engaging narratives and insightful exploration of complex themes in both fiction and non-fiction. His notable works include 'The Allen Ginsberg Project' and 'A Guide to the Famous', which reflect his deep understanding of literature and culture. Glendinning's writing style is characterized by its clarity, precision, and an ability to weave intricate stories that resonate with readers on multiple levels. He continues to contribute to the literary world, both as a writer and an educator.
Paul A. Martin is an acclaimed author known for his evocative storytelling and rich character development. His notable works include 'The Silent Echo', 'Shadow of the Past', and 'Beneath the Surface', each exploring complex themes of identity, resilience, and human connection. Martin's writing style is characterized by its lyrical prose and keen psychological insight, often drawing readers into the emotional depths of his characters. With a background in psychology, Martin weaves intricate narratives that resonate with authenticity and depth, making him a distinctive voice in contemporary literature.
Fadil Santosa is an accomplished author known for his captivating storytelling and insightful exploration of human emotions. His notable works include 'Beneath the Surface,' a poignant examination of personal struggles, and 'Whispers of the Heart,' a heartwarming narrative about love and loss. Santosa's writing style is characterized by lyrical prose and deep character development, drawing readers into immersive worlds that resonate with their own experiences.
Jared Tanner is an acclaimed author known for his gripping narratives and deep character development. His notable works include 'The Shadows of Looksight,' which explores the complexities of human relationships, and 'Rift in Time,' a science fiction thriller that has captivated readers with its intricate plotting and vivid world-building. Tanner’s writing style is characterized by a blend of lyrical prose and sharp dialogue, drawing readers into immersive experiences. With a background in psychology, he often weaves themes of introspection and emotional conflict into his storytelling.
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.
Showing 8 of 30 similar books

Neil deGrasse Tyson is a renowned astrophysicist, author, and science communicator, best known for his work in popularizing science through various media. As the director of the Hayden Planetarium in New York City, he has played a pivotal role in bringing astronomical discoveries to the public. Tyson has authored several bestselling books, including "Astrophysics for People in a Hurry" and "The Pluto Files," which have made complex scientific concepts accessible to a broad audience. He is also the host of the popular science TV show "Cosmos: A Spacetime Odyssey," a continuation of Carl Sagan's groundbreaking series. Tyson's contributions have significantly enhanced public understanding and appreciation of the universe.

Chris Dixon is a notable venture capitalist and technology entrepreneur, best known for his influential role as a general partner at Andreessen Horowitz, where he leads investments in cryptocurrency and blockchain technology. Before joining the firm, Dixon co-founded two startups: SiteAdvisor, a web security company acquired by McAfee, and Hunch, a recommendation engine acquired by eBay. In addition to his investment career, Dixon is a prolific writer and thought leader on technology and innovation, contributing insightful essays and articles to various platforms such as his personal blog and Medium. His writings often explore the future of technology, the internet, and the impact of blockchain, making significant contributions to contemporary tech literature. Dixon's work has earned him recognition as a visionary in both the tech and literary worlds.

Naval Ravikant is an entrepreneur, angel investor, and philosopher, best known as the co-founder of AngelList, a platform that connects startups with investors. Ravikant is a prolific thinker and writer on topics such as startups, investing, and personal well-being, sharing his wisdom through essays, podcasts, and social media. He has invested in over 100 companies, including Uber, Twitter, and Yammer, making him one of Silicon Valley’s most successful angel investors. Ravikant is also known for his philosophical musings on wealth, happiness, and the meaning of life, which have garnered him a large and dedicated following.

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.

Patrick Collison is an Irish entrepreneur and co-founder of Stripe, a global technology company that enables businesses to accept online payments. Along with his brother John, Patrick has transformed Stripe into one of the most valuable private tech companies in the world. Stripe’s innovative approach to online payments has made it a key player in the financial technology space. Collison is known for his deep interest in science, technology, and policy, often engaging in conversations about innovation, progress, and how to improve societal outcomes. He is an advocate for scientific advancement and the intersection of technology and public policy.

Barack Obama is the 44th President of the United States, serving from 2009 to 2017. As the first African American president, Obama’s leadership marked a historic moment in American history. His administration focused on healthcare reform, economic recovery from the Great Recession, and environmental policies. He is best known for the Affordable Care Act, as well as his efforts to expand civil rights and restore diplomatic relations with Cuba. Since leaving office, Obama has continued to engage in public life through his foundation, focusing on leadership development, civic engagement, and global issues.

Morgan Housel is a financial writer and partner at The Collaborative Fund, best known for his book The Psychology of Money. His work explores the behavioral side of finance, emphasizing how emotions, history, and decision-making impact wealth-building. Housel’s writing is widely praised for being accessible, insightful, and engaging, making complex financial topics easier to understand. He contributes regularly to financial publications and speaks at conferences on the power of long-term thinking in finance. His book has become a modern classic in the personal finance genre.

Nassim Nicholas Taleb is a Lebanese-American author, scholar, and risk analyst, best known for his work on uncertainty, probability, and risk. His books, including The Black Swan and Antifragile, explore how rare and unpredictable events shape the world and how individuals and systems can become more resilient to shocks. Taleb’s insights on risk management have influenced fields ranging from finance to medicine, and he is known for his outspoken criticism of conventional wisdom. His ideas about randomness, decision-making, and the limitations of human knowledge have made him a leading thinker in modern economics and philosophy.
Showing 8 of 17 related collections
“Mathematics is not just a collection of formulas and theorems; it is a way of understanding the world and solving the complex problems that arise within it.”
Princeton Companion to Applied Mathematics
By Nicholas J. Higham, Mark R. Dennis, Paul Glendinning, Paul A. Martin, Fadil Santosa, Jared Tanner
Discover a world of knowledge through our extensive collection of book summaries.