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
Showing 8 of 29 similar books
Sahil Lavingia is an accomplished entrepreneur and writer, best known as the founder and CEO of Gumroad, a platform that enables creators to sell products directly to consumers. His book "The Minimalist Entrepreneur" distills his philosophy on building sustainable, lean startups that prioritize long-term vision and customer value over rapid scaling. Lavingia's work has inspired a new generation of entrepreneurs to focus on simplicity and self-reliance. Additionally, he is recognized for his thoughtful essays and blog posts that delve into the intersection of technology, business, and creativity. Through his contributions to literature and his leadership at Gumroad, Lavingia has significantly influenced modern startup culture.
Sophie Bakalar is a distinguished author and venture capitalist known for her adept storytelling and insightful exploration of contemporary issues. Her debut novel received critical acclaim for its nuanced portrayal of complex characters and societal dynamics. In addition to her literary achievements, Bakalar is a co-founder of a successful venture firm, where she leverages her keen understanding of market trends and innovation. Her essays and articles, often featured in prominent publications, reflect her deep engagement with cultural and technological shifts. Bakalar's multifaceted career bridges the worlds of literature and entrepreneurship, making her a unique voice in both fields.
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.
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.
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.
Packy McCormick is a renowned writer and entrepreneur, best known for his influential newsletter, "Not Boring," which explores the intersection of technology, business, and innovation. Through his engaging and insightful essays, McCormick has garnered a substantial following and has become a thought leader in the tech industry. His work has been praised for its ability to make complex topics accessible and entertaining, blending deep analysis with a conversational tone. In addition to his writing, McCormick has contributed to the startup ecosystem by advising and investing in early-stage companies. His impact on contemporary business literature is marked by a unique ability to inspire and educate a diverse audience of readers and professionals.
Karlie Kloss is a renowned American fashion model and entrepreneur known for her work with top designers and brands, securing her place as one of the industry's most influential figures. While primarily celebrated for her modeling career, she has also made significant contributions to literature through her advocacy for education and women's empowerment in STEM. Kloss founded Kode With Klossy, a nonprofit organization that offers free coding camps for young women, encouraging a new generation of female tech leaders. Her efforts have been documented in various publications, highlighting her impact beyond the fashion world. Kloss continues to inspire through her multifaceted career and dedication to fostering opportunities for women in technology.
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 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.
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 "The Singularity Is Near," futurist Ray Kurzweil examines the transformative convergence of technology and biology, predicting a pivotal moment when artificial intelligence surpasses human intelligence. He explores the implications of exponentially accelerating advancements, from nanotechnology to genetic engineering, and their potential to reshape humanity. As Kurzweil articulates the challenges and opportunities posed by this evolution, he paints a provocative picture of a future where humans and machines merge. Could we soon transcend our biological limitations? Venture into this thought-provoking narrative that questions the very essence of what it means to be human amidst the rise of the machines.
In "Algorithms to Live By," Brian Christian takes readers on a fascinating journey through the intersection of computer science and human decision-making. He reveals how algorithms, often seen as complex tools of technology, can illuminate our daily choices—from optimizing our schedules to managing relationships. Through engaging anecdotes and insights from experts, Christian demonstrates how applying these principles can lead to smarter, more efficient lives. But what happens when algorithms challenge our intuition? Explore the surprising ways math can guide not just our decisions, but our very existence.
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 'Three Scientists and Their Gods', Robert Wright explores the profound connections between science, religion, and the human experience. He delves into the lives and thoughts of three pivotal figures—Albert Einstein, Charles Darwin, and Isaac Newton—revealing how their groundbreaking ideas reshaped our understanding of the universe. Through a captivating narrative, Wright challenges the dichotomy between faith and reason, urging readers to consider the spiritual implications of scientific discoveries. With philosophical depth and historical insight, the book raises tantalizing questions about the nature of existence and the divine. Are our beliefs about God shaped by our scientific understanding, or is there something more? Discover how these monumental thinkers grappled with the mysteries of life.
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.
In 'Future Shock,' Alvin Toffler explores the profound psychological and social impacts of rapid technological change on society. He introduces the concept of 'future shock'—the anxiety and disorientation individuals feel when they are unable to keep pace with the velocity of modern life. Through compelling examples, Toffler illustrates how advancements in technology and information can lead to a disconnection from traditional values and realities. His predictions about the accelerating pace of change feel eerily relevant in today's world. As we stand on the brink of unprecedented innovations, are we prepared for the future he foresaw?
In '21 Lessons for the 21st Century', Yuval Noah Harari navigates the complex landscape of today's world, tackling urgent questions about our future. From the impact of technology on society to the challenges of political stability, each lesson provokes thought and introspection. Harari explores key themes such as the rise of artificial intelligence, the significance of data, and the importance of meaning in an increasingly uncertain world. With a blend of history, philosophy, and science, the book invites readers to reflect on their roles in shaping a shared future. Will we adapt, or become obsolete? Dive in to uncover the lessons that could redefine humanity's path.