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This volume collects papers based on lectures given at the XL Workshop on Geometric Methods in Physics, held in Bialowie......more
This volume collects papers based on lectures given at the XLI Workshop on Geometric Methods in Physics, held in Bialyst......more
The problems in the International Mathematical Olympiad (IMO) are not only novel and interesting but also deeply rooted ......more
Wolmer Vasconcelos was one of the giants in the development of Commutative Algebra in the latter half of the twentieth c......more
A variety of theorems named the Liouville property play fundamental roles in modern theory of mathematical analysis. Und......more
This book presents the basic singularity theory of analytic spaces, including local deformation theory, and the theory o......more
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This monograph meticulously examines the contributions of French mathematician Michel Chasles to 19th-century geometry. ......more
This book is the second volume of a work on complex analytic cycles and the results, stated without proof in the first v......more
This is the sixth volume of the Handbook of Geometry and Topology of Singularities, a series which aims to provide an ac......more
The theme of this book is to establish a link between gauge theory and L -cohomology theory. Although both theories focu......more
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While the Cobordism Hypothesis provides a translation between topological and categorical structures, the subject of fus......more
The book summarizes recent results on problems with uni-variate polynomials. The first of them reads: given the signs of......more
This book presents William Clifford’s English translation of Bernhard Riemann’s seminal text, accompanied by detailed ma......more
Calculating the sine of one degree, not possible with the tools of geometry alone, was a problem approached frequently i......more
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Geometry is a branch of mathematics that focuses on the study of shapes, sizes, and the properties of space. It is based......more
Geometry is a distinct branch of mathematics that delves into inquiries surrounding relative object positioning, spatial......more
ZAG Handbook of Algebraic Geometry provides an expansive collection of extended summaries of all the research talks give......more
Proposes an in-depth formal framework for generalized Tonnetze, takes an algebraic approach, studies systems of k-chords......more
An accessible, motivated introduction to one of the most dynamic areas of mathematics Decades ago, Mumford wrote that al......more
This book provides a systematic introduction and treatment of non-integrable flat systems. More precisely, it develops a......more
This text is designed to update the Differential Geometry course by making it more relevant to today’s students. It is i......more
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This volume contains research and expository content based on a wide variety of topics within modern number theory and a......more
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This book, Differential Geometry: Advanced Topics in CR and Pseudohermitian Geometry (Book I-D), is the fourth in a seri......more
This book, Differential Geometry: Foundations of Cauchy-Riemann and Pseudohermitian Geometry (Book I-C), is the third in......more
This unique and richly illustrated book explores barycentric calculus, a geometric method grounded in the concept of the......more
The problems in the International Mathematical Olympiad (IMO) are not only novel and interesting but also deeply rooted ......more
Mathematics of Networks: Modulus Theory and Convex Optimization explores the question: "What can be learned by adapting ......more
This book sets out to demonstrate, interpret, and analyse the geometrical structures underlying classical mechanics. Thr......more
This textbook focuses on the study of curves and surfaces, applying modern differential equation theory to geometric pro......more
The Magic Theorem: a Greatly-Expanded, Much-Abridged Edition of The Symmetries of Things presents a wonder- fully unique......more
This is the sixth and revised edition of a well-received textbook that aims at bridging the gap between the engineering ......more
This text gives a comprehensive introduction to the "common core" of convex geometry. Basic concepts and tools which are......more
This monograph provides the first systematic treatment of the logarithmic Bogomolov-Tian-Todorov theorem. Providing a ne......more
This textbook completes the author’s series of books on solving complex math problems and is aimed at developing readers......more
This text covers topics in algebraic geometry and commutative algebra with careful attention to their practical and comp......more
The problems in the International Mathematical Olympiad (IMO) are not only novel and interesting but also deeply rooted ......more
"A new edition of the first undergraduate-level textbook to bridge the gap between discrete math and computational geome......more
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This book presents three short courses on topics at the intersection of Calculus of Variations, PDEs and Material Scienc......more
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Non Additive Geometry introduces a groundbreaking approach to arithmetic geometry, replacing traditional structure of co......more
This textbook focuses on the geometry of circles, spheres, and spherical geometry. Various classic themes are used as in......more
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We isolate and study the transformation of the intrinsic spin of photons and Dirac particles as they propagate along geo......more
The presented work is a research in the field of the geometry of two-dimensional hyperbolic (equipped with a metric of c......more
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A computer algebra system such as Mathematica(R) is able to do much more than just numerics: This revised text shows how......more
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This Open Access textbook presents Carnot-Carathéodory spaces from the perspective of Lie groups. Its main objective is ......more
This book presents recent advances in topics related to Poisson geometry originating from lectures given at the "Poisson......more
This book serves as an illuminating introduction to the intricacies of the geometry of numbers. It commences by explorin......more
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This book sets out to demonstrate, interpret, and analyse the geometrical structures underlying classical mechanics. Thr......more
In China, many excellent mathematics students take an active part in various mathematical contests, and each year, the b......more
This text is designed to update the Differential Geometry course by making it more relevant to today’s students. It is i......more
An accessible, motivated introduction to one of the most dynamic areas of mathematics Decades ago, Mumford wrote that al......more
The problems in the International Mathematical Olympiad (IMO) are not only novel and interesting but also deeply rooted ......more
It is known that geometry originated and developed in connection with people’s practical activities, measurements and co......more
The presented work is a research in the field of the geometry of two-dimensional hyperbolic (equipped with a metric of c......more
Can one prove that 1 + 1 = 2? How long is the coastline of Britain? Which US president proved Pythagoras’ theorem on rig......more
In China, many excellent mathematics students take an active part in various mathematical contests, and each year, the b......more
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The Magic Theorem: a Greatly-Expanded, Much-Abridged Edition of The Symmetries of Things presents a wonder- fully unique......more
Beneath the surface of every leaf, seashell, and galaxy lies a hidden code an elegant structure that reveals how the uni......more
Mathematics is one of the most crucial subjects to master, transcending boundaries of nationality, age and gender. It is......more
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