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 "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 'The 4-Hour Workweek', Timothy Ferriss reveals the secrets of escaping the 9-to-5 grind and designing a life of freedom and adventure. He introduces the concept of ‘mini-retirements’ and shows readers how to automate their income through smart outsourcing and entrepreneurship. Ferriss challenges traditional notions of work and productivity, urging readers to focus on what truly matters. With practical strategies and bold ideas, the book inspires a daring reimagining of how we live and work. Are you ready to break free and live life on your terms?
In 'Do Less', Kate Northrup challenges the relentless hustle culture, advocating instead for a life of intention and balance. She introduces the concept of the "time and energy management" approach, aligning personal rhythms with the natural cycles of life. Through practical strategies and relatable anecdotes, Northrup empowers readers to prioritize what truly matters, allowing them to achieve more by doing less. This transformative journey invites individuals to reclaim their time, leading to more fulfillment and success. Are you ready to redefine productivity and embrace a life of ease?
In 'The Wires of War,' Jacob Helberg unveils the clandestine battles waged in cyberspace, where nations collide not with bombs, but with lines of code. As tensions rise globally, he explores the dark underbelly of digital espionage and the unintended consequences that ripple through societies. This gripping narrative reveals how technology transforms the traditional notions of warfare and sovereignty. With provocative insights and compelling storytelling, Helberg challenges readers to consider the fragile nature of our interconnected world. Will the next battlefield be fought on our screens?
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 'Zen in the Art of Archery,' Eugen Herrigel takes readers on a profound journey that intertwines the practice of archery with Zen philosophy. As he learns the ancient art in Japan, Herrigel discovers that true mastery lies not in technical skill, but in a deep understanding of oneself and the world. The book artfully illustrates the meditative aspects of archery, challenging conventional notions of achievement and success. Through evocative imagery and introspective narratives, Herrigel invites us to contemplate the nature of intention, focus, and enlightenment. Will you embrace the stillness and precision required to hit the target of your own inner peace?
In 'The Mastery of Love', Don Miguel Ruiz uncovers the profound teachings of love and relationships through ancient Toltec wisdom. This transformative guide reveals how our beliefs and fears can hinder our ability to love and be loved. Ruiz provides practical insights on overcoming emotional wounds and cultivating deep connections with ourselves and others. With captivating anecdotes and simple yet powerful lessons, the book invites readers to embark on a journey of self-discovery and healing. Prepare to unravel the mysteries of love and unlock a life filled with joy and fulfillment.
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!
Showing 8 of 26 similar books

Lex Fridman is an artificial intelligence researcher, podcaster, and MIT professor, known for his work in autonomous vehicles, robotics, and deep learning. Fridman has gained widespread popularity through his podcast, Lex Fridman Podcast, where he interviews leading thinkers in science, technology, and philosophy, exploring topics like AI, consciousness, and the future of humanity. His academic work focuses on human-centered AI, aiming to create machines that can better understand and interact with humans. Fridman’s ability to distill complex topics into accessible conversations has earned him a large following, and his podcast is known for its thoughtful, in-depth discussions with some of the brightest minds of our time. He is also an advocate for the responsible development of AI, emphasizing the ethical implications of this rapidly advancing technology. Outside of academia and podcasting, Fridman is a practitioner of jiu-jitsu and frequently speaks about the importance of discipline and continuous learning.

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.

Reshma Saujani is the founder of Girls Who Code, an organization aimed at closing the gender gap in technology by empowering young women to pursue careers in coding and computer science. She gained national attention in 2010 as the first Indian-American woman to run for U.S. Congress. Reshma is also the author of several books, including Brave, Not Perfect, which encourages women to embrace failure and take risks. Her TED Talk on teaching girls bravery rather than perfection has garnered millions of views. Reshma continues to advocate for gender equality and innovation in education.

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.
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.