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
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.
Charlie Munger is an American investor, businessman, and philanthropist, best known as the vice chairman of Berkshire Hathaway, where he partners with Warren Buffett. Renowned for his insights on investment strategies and mental models, Munger has significantly influenced the world of finance. His notable literary contributions include "Poor Charlie's Almanack," a compilation of his speeches and writings that distill his wisdom on decision-making and business principles. Munger's work emphasizes the importance of multidisciplinary thinking and continuous learning. Beyond his financial acumen, he is celebrated for his charitable efforts, particularly in education and healthcare.
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.
David Sinclair is an Australian biologist and professor at Harvard Medical School, known for his pioneering research in the field of aging and longevity. Sinclair's work focuses on understanding the biological mechanisms that drive aging and developing interventions to slow or reverse the process. His bestselling book Lifespan: Why We Age – and Why We Don’t Have To explores the latest advancements in anti-aging science and offers insights into how humans might extend their healthspan. Sinclair's research has led to breakthroughs in areas such as sirtuins, NAD+ metabolism, and cellular reprogramming. He is also the co-founder of several biotech companies, including Sirtris Pharmaceuticals and Life Biosciences, dedicated to translating aging research into practical treatments. Sinclair is a vocal advocate for taking a proactive approach to aging, promoting lifestyle changes and emerging therapies to delay age-related diseases. His work has made him a leading figure in the longevity movement, influencing both scientific and public discourse on the future of health.
Cleo Abram is a distinguished journalist and content creator known for her incisive storytelling and engaging multimedia presentations. She gained widespread recognition as a producer and host for Vox's acclaimed series, "Glad You Asked," where she explored complex topics with clarity and depth. Abram's work often intersects with technology and culture, making intricate subjects accessible to a broad audience. In addition to her journalistic endeavors, she has contributed thought-provoking essays and articles to various esteemed publications. Her innovative approach to storytelling continues to influence and inspire both readers and aspiring journalists.
Showing 8 of 13 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.
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 'Digital Minimalism', Cal Newport challenges our relationship with technology, advocating for a mindful approach to digital consumption. He presents a philosophy that emphasizes focusing on what truly matters in our lives by decluttering our digital spaces. Through compelling anecdotes and research, Newport unveils the hidden costs of excessive screen time, encouraging readers to reclaim their attention and leisure. This transformative book offers practical strategies for prioritizing meaningful interactions and passions over distractions. Are you ready to disconnect to reconnect with what truly enriches your life?
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.
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 'The Better Angels of Our Nature', Steven Pinker explores the decline of violence throughout human history, revealing an unexpected trend towards peace. He argues that, contrary to popular belief, we are living in one of the most peaceful eras in our existence, with statistical evidence to back his claims. Pinker delves into the psychological and societal forces that have led humanity to embrace empathy and cooperation over brutality. This thought-provoking narrative challenges readers to reconsider their views on human nature and progress. Are we truly becoming more civilized, or is this just a temporary lull in our violent tendencies?
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 'Voices of a People's History of the United States,' Howard Zinn and Anthony Arnove present a powerful anthology that amplifies the voices often silenced in mainstream narratives. This 10th Anniversary Edition delves into the stories of marginalized communities, offering a profound insight into the struggles and triumphs of the American populace. Featuring riveting accounts from laborers, activists, and everyday citizens, the book challenges conventional historical perspectives. Each narrative serves as a reminder of the resilience of the human spirit and the continuous fight for justice. Discover the untold stories that shape the fabric of America and provoke thought about the narratives we accept.
In 'Code', Charles Petzold takes readers on a captivating journey through the world of programming and computer science. He unravels the complex tapestry of how computers work, starting from simple concepts and building up to intricate systems. Through engaging anecdotes and metaphors, Petzold demystifies the inner workings of machines, making them accessible to everyone. This exploration not only reveals the beauty of code but also challenges us to think critically about the impact of technology in our lives. Prepare to see the digital world around you in a whole new light!
In 'Powerful', Patty McCord, former Chief Talent Officer at Netflix, unveils the radical principles behind the company's innovative culture. She challenges traditional notions of management, advocating for honesty, transparency, and freedom in the workplace. With compelling anecdotes and candid insights, McCord illustrates how empowering employees can lead to revolutionary success. The book serves as a call to action for leaders to reinvent their approach to talent management. Are you ready to unlock the true potential of your team and reshape your organization's culture?