This compact textbook consists of lecture notes given as a fourth-year undergraduate course of the mathematics degree at......more
One of the preeminent mathematicians of the past half century shows how physics and math were combined to give us the th......more
The goal of the book is to provide insight into many enjoyable and fascinating aspects of geometry, and to reveal intere......more
The goal of the book is to provide insight into many enjoyable and fascinating aspects of geometry, and to reveal intere......more
This textbook offers a concise introduction to symplectic and contact geometry, with a focus on the relationships betwee......more
Two quantities are in the golden ratio if their ratio is the same as the ratio of their sum to the larger of the two qua......more
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Our physical world is embedded in a geometric environment. Plane geometry has many amazing wonders beyond those that are......more
This book is the result of a didactic and, at the same time, exploratory study of the "ethno" and mathematical concepts ......more
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This book introduces convex polytopes and their graphs, alongside the results and methodologies required to study them. ......more
This book provides an accessible introduction to using the tools of differential geometry to tackle a wide range of topi......more
This book provides an accessible introduction to using the tools of differential geometry to tackle a wide range of topi......more
William Thurston’s ideas have altered the course of twentieth century mathematics, and they continue to have a significa......more
This proceedings contains a collection of selected, peer-reviewed contributions from the 4th International Workshop "Dif......more
Differential Geometry is one of the major branches of current Mathematics, and it is an unavoidable language in modern P......more
This book is based on a series of lectures at the Mathematics Department of the University of Jena, developed in the per......more
This monograph covers topics in the cohomology of monoids up through recent developments. Jonathan Leech’s original mono......more
The theory of algebraic hyperstructures, in particular the theory of Krasner hyperrings, has seen a spectacular developm......more
Our physical world is embedded in a geometric environment. Plane geometry has many amazing wonders beyond those that are......more
Kate and David Crennell produced a third edition for Tarquin some years ago. The plans and illustrations of all 59 of th......more
the="" study="" of="" convex="" polyhedra="" in="" ordinary="" space="" is="" a="" central="" piece="" classical="" and=......more
This volume presents modern developments in analysis, PDEs and geometric analysis by some of the leading worldwide exper......more
Very little is known of Euclid’s life, and most information comes from the scholars Proclus and Pappus of Alexandria man......more
This work aims to verify the feasibility of using the GeoGebra educational software in Vocational Education Integrated w......more
Metric algebraic geometry combines concepts from algebraic geometry and differential geometry. Building on classical fou......more
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The object of this book is to enable the beginner to learn to make simple mechanical drawings without the aid of an inst......more
This textbook provides a full and complete axiomatic development of exactly that part of plane Euclidean geometry that f......more
This textbook can be used as introduction to a general topology course at undergraduate and graduate level courses. Howe......more
Voronoi diagrams, named after the Russian mathematician Georgy Feodosievych Voronoy, are geometric structures that have ......more
This book constitutes the post-conference proceedings of the First International Conference on Advanced Computational Ap......more
Topological spaces are a special case of convergence spaces. This textbook introduces topology within a broader context ......more
This book provides advanced undergraduate physics and mathematics students with an accessible yet detailed understanding......more
The second edition presents schemes, simplicial sets, higher categories, model categories, derived algebraic geometry, a......more
Unravel the intricate relationship between quantum mechanics and highly-curved spacetime in this groundbreaking book by ......more
Mathematical models are used to describe the essence of the real world, and their analysis induces new predictions fille......more
This book provides an up-to-date introduction to the theory of manifolds, submanifolds, semi-Riemannian geometry and war......more
Spin/Pin-structures on vector bundles have long featured prominently in differential geometry, in particular providing p......more
Algebraic geometry is more advanced with the completeness condition for projective or complete varieties. Many geometric......more
A comprehensive new illustrated guide to geometry--from New York Times bestselling cartoonist Larry Gonick What’s the po......more
This well researched and thought experiment book is a good introduction to quantum gravity and has a lot of interesting ......more
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This book is devoted to a survey of non-normal partitions of hyperbolic space, in particular a survey of irregular parti......more
This book is based on a series of lectures given by the author at SISSA, Trieste, within the PhD courses Techniques in e......more
This introductory book contains a rich collection of exercises and worked examples in Metric Spaces. Other than question......more
This book offers an up-to-date, comprehensive account of determinantal rings and varieties, presenting a multitude of me......more
Finalist for the PEN/E.O. Wilson Literary Science Writing Award "What a fun escape! Reminds me of math books I read when......more
This book completes the comprehensive introduction to modern algebraic geometry which was started with the introductory ......more
This book serves as an introductory asset for learning metric geometry by delivering an in-depth examination of key cons......more
This textbook teaches the transformations of plane Euclidean geometry through problems, offering a transformation-based ......more
The Teaching of Geometry, a classical and rare book that has been considered essential throughout human history, so that......more
This monograph addresses two significant related questions in complex geometry: the construction of a Chern character on......more
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Are you ready to unlock the mathematical secrets that power today’s most advanced artificial intelligence systems? "Esse......more
Are you ready to unlock the mathematical secrets that power today’s most advanced artificial intelligence systems? "Esse......more
The book contains the basics of tensor algebra as well as a comprehensive description of tensor calculus, both in Cartes......more
This monograph provides some useful tools for performing global geometric analysis on real analytic manifolds. At the co......more
This new edition has been thoroughly revised, expanded and contain some updates function of the novel results and shift ......more
This book offers the comprehensive study of one of the foundational topics in Mathematics, known as Metric Spaces. The b......more
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This volume is devoted to various aspects of Alexandrov Geometry for those wishing to get a detailed picture of the adva......more
Pedagogical insights gained through 30 years of teaching applied mathematics led the author to write this set of student......more
The first book on the explicit birational geometry of complex algebraic threefolds arising from the minimal model progra......more
Dedicated to the memory of the late Professor Zbigniew Oziewicz from Universidad Nacional Autónoma de México, the book c......more
These lecture notes are dedicated to the mathematical modelling, analysis and computation of interfaces and free boundar......more
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This is the fourth volume of the Handbook of Geometry and Topology of Singularities, a series that aims to provide an ac......more
This book describes in detail the basic context of the Banach setting and the most important Lie structures found in fin......more
This book consists of five chapters presenting problems of current research in mathematics, with its history and develop......more
This book is based on the lectures given at the Oberwolfach Seminar held in Fall 2021. Logarithmic Gromov-Witten theory ......more
This book contains a collection of exercises designed to support and complement the theoretical exposition of standard t......more
Trigonometry has 2000-year-old roots in everyday useful endeavors, like finding the size of an object too big or far awa......more
Symmetry can be defined as a type of invariance. It refers to the property of a mathematical object remaining unchanged ......more
Praise for the previous edition [. . .] Dr. Popko’s elegant new book extends both the science and the art of spherical m......more
The topological fundamental group of a smooth complex algebraic variety is poorly understood. One way to approach it is ......more
Discrete geometry refers to a subfield of geometry that examines discrete and highly symmetric structures in geometry an......more
Information geometry refers to an interdisciplinary field that studies probability theory and statistics by using method......more
Information geometry refers to an interdisciplinary field that studies statistics and probability theory by applying the......more
Despite the fundamental role played by Reshetnyak’s work in the theory of surfaces of bounded integral curvature, the pr......more
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How do you divide a line into three? Or five? Or seven? Is there a simple way to marry harmony and geometry? What is the......more
Resolution of singularities is notorious as a difficult topic within algebraic geometry. Recent work, aiming at resoluti......more
This book presents a novel development of fundamental and fascinating aspects of algebraic topology and mathematical phy......more
This book studies a category of mathematical objects called Hamiltonians, which are dependent on both time and momenta. ......more
Differential Geometry and Its Visualization is suitable for graduate level courses in differential geometry, serving bot......more
In recent years, there has been an increased interest in exploring the connections between various disciplines of mathem......more
Historically, mathematics, probability, and statistics have been widely used in the biological sciences. Recent progress......more
Aspects of Integration: Novel Approaches to the Riemann and Lebesgue Integrals is comprised of two parts. The first part......more
This monograph deals with matrix manifolds, i.e., manifolds for which there is a natural representation of their element......more
According to string theory, our universe exists in a 10- or 11-dimensional space. However, the idea the space beyond 3 d......more
In a self contained and exhaustive work the author covers Group Theory in its multifaceted aspects, treating its concept......more
ARE YOU READY TO STEP INTO YOUR HIGHEST POTENTIAL? This book is your guide to reaching your highest potential in alignme......more