Princeton Companion to Applied Mathematics Book Summary

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."

Book Review of Princeton Companion to Applied Mathematics

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

Similar books you might like →

Showing 8 of 29 similar books

Similar Book Recommendations →

Chris Dixon's Book Recommendations

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.

Technology and FutureInspiring ReadsCreativity and Innovation

Naval Ravikant's Book Recommendations

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.

Business and LeadershipInspiring ReadsLife AdviceMindfulnessSuccess Stories and Life Lessons

Bret Victor's Book Recommendations

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.

Creativity and InnovationTechnology and FutureEducation

Charlie Munger's Book Recommendations

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.

Business and LeadershipMoney MattersInspiring Reads

Patrick Collison's Book Recommendations

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.

Business and LeadershipTechnology and FutureInspiring Reads

Barack Obama's Book Recommendations

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.

PoliticsMemoirs and BiographiesSuccess Stories and Life Lessons

David Sinclair's Book Recommendations

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.

Health and NutritionSelf-ImprovementScience and Nature

Cleo Abram's Book Recommendations

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.

Media and Pop CultureTechnology and FutureInspiring Reads

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