Download or read book Current Developments in Mathematics 2019 written by David Jerison and published by . This book was released on 2021 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents five papers based on selected lectures given at the Current Developments in Mathematics conference, held in November 2019 at Harvard University.
Download or read book Current Developments in Mathematics 2018 written by Horng-tzer Yau and published by . This book was released on 2020 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Current Developments in Mathematics 2017 written by David Jerison and published by . This book was released on 2019 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Current Developments in Mathematics 2013 written by David Jerison and published by . This book was released on 2014 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Current Developments in Mathematics written by Yau Horng-tzer and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Current Developments in Mathematics 1995 written by Raoul Bott and published by . This book was released on 2012-02-28 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Current Developments in Mathematics 2014 written by David Jerison and published by . This book was released on 2016-03 with total page 291 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book What s Happening in the Mathematical Sciences written by Barry Cipra and published by American Mathematical Soc.. This book was released on with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematicians like to point out that mathematics is universal. In spite of this, most people continue to view it as either mundane (balancing a checkbook) or mysterious (cryptography). This fifth volume of the What's Happening series contradicts that view by showing that mathematics is indeed found everywhere-in science, art, history, and our everyday lives. Here is some of what you'll find in this volume: Mathematics and Science Mathematical biology: Mathematics was key tocracking the genetic code. Now, new mathematics is needed to understand the three-dimensional structure of the proteins produced from that code. Celestial mechanics and cosmology: New methods have revealed a multitude of solutions to the three-body problem. And other new work may answer one of cosmology'smost fundamental questions: What is the size and shape of the universe? Mathematics and Everyday Life Traffic jams: New models are helping researchers understand where traffic jams come from-and maybe what to do about them! Small worlds: Researchers have found a short distance from theory to applications in the study of small world networks. Elegance in Mathematics Beyond Fermat's Last Theorem: Number theorists are reaching higher ground after Wiles' astounding 1994 proof: new developments inthe elegant world of elliptic curves and modular functions. The Millennium Prize Problems: The Clay Mathematics Institute has offered a million dollars for solutions to seven important and difficult unsolved problems. These are just some of the topics of current interest that are covered in thislatest volume of What's Happening in the Mathematical Sciences. The book has broad appeal for a wide spectrum of mathematicians and scientists, from high school students through advanced-level graduates and researchers.
Download or read book Current Developments in Mathematics 2004 written by Barry Mazur and published by . This book was released on 2006 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents the proceedings of the joint seminar by the Massachusetts Institute of Technology and Harvard University on the developments in mathematics for the year 2004.
Download or read book Current Developments in Mathematics 2021 written by Denis Auroux and published by . This book was released on 2023 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Current Developments in Algebraic Geometry written by Lucia Caporaso and published by Cambridge University Press. This book was released on 2012-03-19 with total page 437 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume, based on a workshop by the MSRI, offers an overview of the state of the art in many areas of algebraic geometry.
Download or read book A Generalization of Bohr Mollerup s Theorem for Higher Order Convex Functions written by Jean-Luc Marichal and published by Springer Nature. This book was released on 2022-07-06 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1922, Harald Bohr and Johannes Mollerup established a remarkable characterization of the Euler gamma function using its log-convexity property. A decade later, Emil Artin investigated this result and used it to derive the basic properties of the gamma function using elementary methods of the calculus. Bohr-Mollerup's theorem was then adopted by Nicolas Bourbaki as the starting point for his exposition of the gamma function. This open access book develops a far-reaching generalization of Bohr-Mollerup's theorem to higher order convex functions, along lines initiated by Wolfgang Krull, Roger Webster, and some others but going considerably further than past work. In particular, this generalization shows using elementary techniques that a very rich spectrum of functions satisfy analogues of several classical properties of the gamma function, including Bohr-Mollerup's theorem itself, Euler's reflection formula, Gauss' multiplication theorem, Stirling's formula, and Weierstrass' canonical factorization. The scope of the theory developed in this work is illustrated through various examples, ranging from the gamma function itself and its variants and generalizations (q-gamma, polygamma, multiple gamma functions) to important special functions such as the Hurwitz zeta function and the generalized Stieltjes constants. This volume is also an opportunity to honor the 100th anniversary of Bohr-Mollerup's theorem and to spark the interest of a large number of researchers in this beautiful theory.
Download or read book Current Developments in Mathematics 1997 written by Raoul Bott and published by International PressCo. This book was released on 1998-12 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt: A study of developments in mathematics. It addresses topics such as: trace formula in noncommutative geometry and the zeros of the Riemann zeta function; partial differential equations and Monge-Kantorovich mass transfer; and open problems in mathematical and applied physics.
Download or read book A History in Sum written by Steve Nadis and published by Harvard University Press. This book was released on 2013-11-01 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the twentieth century, American mathematicians began to make critical advances in a field previously dominated by Europeans. Harvard’s mathematics department was at the center of these developments. A History in Sum is an inviting account of the pioneers who trailblazed a distinctly American tradition of mathematics—in algebraic geometry and topology, complex analysis, number theory, and a host of esoteric subdisciplines that have rarely been written about outside of journal articles or advanced textbooks. The heady mathematical concepts that emerged, and the men and women who shaped them, are described here in lively, accessible prose. The story begins in 1825, when a precocious sixteen-year-old freshman, Benjamin Peirce, arrived at the College. He would become the first American to produce original mathematics—an ambition frowned upon in an era when professors largely limited themselves to teaching. Peirce’s successors—William Fogg Osgood and Maxime Bôcher—undertook the task of transforming the math department into a world-class research center, attracting to the faculty such luminaries as George David Birkhoff. Birkhoff produced a dazzling body of work, while training a generation of innovators—students like Marston Morse and Hassler Whitney, who forged novel pathways in topology and other areas. Influential figures from around the world soon flocked to Harvard, some overcoming great challenges to pursue their elected calling. A History in Sum elucidates the contributions of these extraordinary minds and makes clear why the history of the Harvard mathematics department is an essential part of the history of mathematics in America and beyond.
Download or read book Current Developments in Mathematics 1995 Preliminary Edition written by International Press of Boston, Incorporated and published by . This book was released on 1996-03 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Current Developments in Mathematics (CDM) Conference is an annual seminar devoted to surveying the developments in mathematics each year. This title features the proceedings of the conference jointly hosted by Harvard University and the Massachusetts Institute of Technology.
Download or read book Current Developments in Mathematics written by and published by . This book was released on 1994 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Current Developments in Mathematics 2002 written by David Jerison and published by . This book was released on 2017-06-30 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt:
