Unparalleled in its depth of coverage, The Princeton Companion to Mathematics surveys the most active and exciting branches of pure mathematics. Accessible in style, this is an indispensable resource for undergraduate and graduate students in mathematics as well as for researchers and scholars seeking to understand areas outside their specialties.
Bridson, John P. Burgess, Kevin Buzzard, Peter J. Dauben, John W. Dawson Jr. Ellenberg, Lawrence C. Gardiner, Charles C. Johnson, Mark Joshi, Kiran S. Lickorish, Martin W. Yandell, Eric Zaslow, Doron Zeilberger.
It is impressive and well written and it's good value for [the] money. It is tough going in some places, but much of it is surprisingly accessible. A must for budding number-crunchers. Princeton Companion to Applied Mathematics. This is the most authoritative and accessible single-volume reference book on applied mathematics. Sign up Log in. Web icon An illustration of a computer application window Wayback Machine Texts icon An illustration of an open book.
Books Video icon An illustration of two cells of a film strip. Lickorish, Martin W. Yandell, Eric Zaslow, Doron Zeilberger. 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 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.
This volume presents empirical studies and theoretical reflections on Evolutionary Governance Theory EGT , its most important concepts and their interrelations. As a novel theory of governance, EGT understands governance as radically evolutionary, which implies that all elements of governance are subject to evolution, that these elements co-evolve and that many of them are the product of governance itself.
Through this book we learn how communities understand themselves and their environment and why they create the complex structures and processes we analyze as governance paths. Authors from different disciplines develop the EGT framework further and apply it to a wide rage networks of power, governance of agricultural resources etc. The contributors also reflect on the possibilities and limitations of steering, intervention, management and development in a world continuously in flux. It bridges the gap between more fundamental and philosophical accounts of the social sciences and applied studies, offering theoretical advancements as well as practical recommendations.
This volume is the first extensive study of the historical and philosophical connections between technology and mathematics. Coverage includes the use of mathematics in ancient as well as modern technology, devices and machines for computation, cryptology, mathematics in technological education, the epistemology of computer-mediated proofs, and the relationship between technological and mathematical computability.
Mathematics, poetry, and philosophy can look from the outside sometimes as ballet en pointe, and at other times as the flight of the bumblebee.
Reuben Hersh looks at mathematics from the inside; he collects his papers written over several decades, their edited versions, and new chapters in his book Experiencing Mathematics, which is practical, philosophical, and in some places as intensely personal as Swann's madeleine. These lively and eloquent essays address the questions that arise from a crisis of reflectiveness: What is a mathematical proof and why does it come after, not before, mathematical revelation?
Can mathematics be both real and a human artifact? Do mathematicians produce eternal truths, or are the judgments of the mathematical community quasi-empirical and historically framed?
How can we be sure that an infinite series that seems to converge really does converge? This collection of essays by Reuben Hersh makes an important contribution. His lively and eloquent essays bring the reality of mathematical research to the page. He argues that the search for foundations is misleading, and that philosophers should shift from focusing narrowly on the deductive structure of proof, to tracing the broader forms of quasi-empirical reasoning that star the history of mathematics, as well as examining the nature of mathematical communities and how and why their collective judgments evolve from one generation to the next.
If these questions keep you up at night, then you should read this book. And if they don't, then you should read this book anyway, because afterwards, they will! Can you help donate a copy? When you buy books using these links the Internet Archive may earn a small commission.
Open Library is a project of the Internet Archive , a c 3 non-profit. This is a one-of-a-kind reference for anyone with a serious interest in mathematics.
Edited by Timothy Gowers, a recipient of the Fields Medal, it presents nearly two hundred entries, written especially for this book by some of the world's leading mathematicians, that introduce basic mathematical tools and vocabulary; trace the development of modern mathematics; explain essential terms and concepts; examine core ideas in major areas of mathematics; describe the achievements of scores of famous mathematicians; explore the impact of mathematics on other disciplines such as biology, finance, and music--and much, much more.
Unparalleled in its depth of coverage, The Princeton Companion to Mathematics surveys the most active and exciting branches of pure mathematics, providing the context and broad perspective that are vital at a time of increasing specialization in the field. Packed with information and presented in an accessible style, this is an indispensable resource for undergraduate and graduate students in mathematics as well as for researchers and scholars seeking to understand areas outside their specialties.
Previews available in: English.
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