Geometry 1

Designed for an undergraduate course or for independent study, this text presents sophisticated mathematical ideas in an elementary and friendly fashion. The fundamental purpose of this book is to e……続きを見る

This open access book offers a comprehensive introduction to spectral networks from a unified viewpoint that bridges geometry with the physics of supersymmetric gauge theories. It provides the found……続きを見る

This open access book presents mathematical foundations for cryptography securely used in the era of quantum computers. In particular, this book aims to deepen the basic mathematics of post-quantum ……続きを見る

This book provides an introduction to noncommutative geometry and presents a number of its recent applications to particle physics. In the first part, we introduce the main concepts and techniques b……続きを見る

This open access book covers the main topics for a course on the differential geometry of curves and surfaces. Unlike the common approach in existing textbooks, there is a strong focus on variationa……続きを見る

In "Mathematical Problems," David Hilbert presents a collection of 23 unsolved problems that formed a significant part of the mathematical landscape in the early 20th century. Through a clear and co……続きを見る

Robin Hartshorne studied algebraic geometry with Oscar Zariski and David Mumford at Harvard, and with J.-P. Serre and A. Grothendieck in Paris. After receiving his Ph.D. from Princeton in 1963, Hart……続きを見る

The question of reconstructing a geometric shape from spectra of operators (such as the Laplace operator) is decades old and an active area of research in mathematics and mathematical physics. This ……続きを見る

In recent years, there has been an increased interest in exploring the connections between various disciplines of mathematics and theoretical physics such as representation theory, algebraic geometr……続きを見る

This is one of the first books on a newly emerging field of discrete differential geometry and an excellent way to access this exciting area. It surveys the fascinating connections between discrete ……続きを見る

In this "provocative" book (New York Times), a contrarian physicist argues that her field's modern obsession with beauty has given us wonderful math but bad science. Whether pondering black holes or……続きを見る

"Knot theory is a fascinating mathematical subject, with multiple links to theoretical physics. This enyclopedia is filled with valuable information on a rich and fascinating subject." – Ed Witten, ……続きを見る

In "Mathematical Problems," David Hilbert presents a collection of rigorous mathematical challenges designed to stimulate thought and deepen understanding in the realm of pure mathematics. Composed ……続きを見る

In "Euclid and His Modern Rivals," Charles Lutwidge Dodgson, better known as Lewis Carroll, employs a unique blend of humor, logical reasoning, and engaging prose to explore the foundations of geome……続きを見る

This book is intended as a one-semester course in general topology, a.k.a. point-set topology, for undergraduate students as well as first-year graduate students. Such a course is considered a prere……続きを見る

In "The Way to Geometry," Petrus Ramus offers a pioneering exploration of geometrical principles that radically reinterprets the teaching of mathematics in the 16th century. Employing a didactic sty……続きを見る

Customarily, the framework of algebraic geometry has been worked over an algebraically closed field of characteristic zero, say, over the complex number field. However, over a field of positive char……続きを見る

The amount of mathematics invented for number-theoretic reasons is impressive. It includes much of complex analysis, the re-foundation of algebraic geometry on commutative algebra, group cohomology,……続きを見る

This textbook offers graduate students a concise introduction to the classic notions of convex optimization. Written in a highly accessible style and including numerous examples and illustrations, i……続きを見る

In "The Teaching of Geometry," David Eugene Smith presents a comprehensive exploration of geometric teaching methodologies, delving into the pedagogical strategies that enhance student comprehension……続きを見る

In the words of the great poet Senghor, Cedric Villani makes the bold claim that Mathematics is the Poetry of Science. Perhaps paradoxical to some, both disciplines are concerned with describing the……続きを見る

This authoritative volume in honor of Alain Connes, the foremost architect of Noncommutative Geometry, presents the state-of-the art in the subject. The book features an amalgam of invited survey an……続きを見る

The aim of Summable Spaces and Their Duals, Matrix Transformations and Geometric Properties is to discuss primarily about different kinds of summable spaces, compute their duals and then characteriz……続きを見る

Theories, methods and problems in approximation theory and analytic inequalities with a focus on differential and integral inequalities are analyzed in this book. Fundamental and recent developments……続きを見る

This open access book focuses on the interplay between random walks on planar maps and Koebe’s circle packing theorem. Further topics covered include electric networks, the He–Schramm theorem on inf……続きを見る

Publisher's Note: Products purchased from Third Party sellers are not guaranteed by the publisher for quality, authenticity, or access to any online entitlements included with the product. A UNIQUE ……続きを見る

Pure mathematicians have only recently begun a rigorous study of topological quantum field theories (TQFTs). Ocneanu, in particular, showed that subfactors yield TQFTs that complement the Turaev-Vir……続きを見る

Edwin A. Abbott's 'Flatland (Illustrated)' is a groundbreaking work of mathematical fiction that explores the concept of multiple dimensions through the lens of a two-dimensional world inhabited by ……続きを見る

Pencils of Cubics and Algebraic Curves in the Real Projective Plane thoroughly examines the combinatorial configurations of n generic points in RP². Especially how it is the data describing the mutu……続きを見る

This volume brings together recent, original research and survey articles by leading experts in several fields that include singularity theory, algebraic geometry and commutative algebra. The motiva……続きを見る