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An accessible, motivated introduction to one of the most dynamic areas of mathematics Decades ago, Mumford wrote that al......more
An explanation of the mathematics needed as a foundation for a deep understanding of general relativity or quantum field......more
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Charles Lutwidge Dodgson is best known for his ’Alice’ books, Alice’s Adventures in Wonderland and Through the Looking-G......more
There are many interactions between noncommutative algebra and representation theory on the one hand and classical algeb......more
An explanation of the mathematics needed as a foundation for a deep understanding of general relativity or quantum field......more
Multiplicity diagrams can be viewed as schemes for describing the phenomenon of "symmetry breaking" in quantum physics. ......more
The Novikov conjecture is the single most important unsolved problem in the topology of high-dimensional non-simply conn......more
This book develops the mathematics of differential geometry in a way more intelligible to physicists and other scientist......more
This volume reflects the profound impact of the century-old Schwarz lemma on contemporary complex variable theory and fu......more
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This textbook offers a concise introduction to symplectic and contact geometry, with a focus on the relationships betwee......more
This book serves as an introduction to topology, a branch of mathematics that studies the qualitative properties of geom......more
This book offers a non-standard introduction to quantum mechanics and quantum field theory, approaching these topics fro......more
This textbook, based on a one-semester course taught several times by the authors, provides a self-contained, comprehens......more
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The principle aim of this unique text is to illuminate the beauty of the subject both with abstractions like proofs and ......more
This compact textbook consists of lecture notes given as a fourth-year undergraduate course of the mathematics degree at......more
String art is a well-known and popular activity that uses string, a board, and nails to produce artistic images (althoug......more
This book consists of five chapters presenting problems of current research in mathematics, with its history and develop......more
Master the math behind CAD, game engines, GIS, and more! This hands-on book teaches you the geometry used to create simu......more
The principle aim of this unique text is to illuminate the beauty of the subject both with abstractions like proofs and ......more
This brief presents a global perspective on the geometry of spaces of polynomials. Its particular focus is on polynomial......more
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This book consists of five chapters presenting problems of current research in mathematics, with its history and develop......more
This book provides the foundations for geometric applications of convex cones and presents selected examples from a wide......more
This book discusses the changing conceptions about the relationship between geometry and arithmetic within the Euclidean......more
Preface.- Mathematical Models.- The Big Bang Theory of Ancient Greece.- Geometry: From disorder to order.- Topology.- Fo......more
This textbook invites readers to explore the properties of objects that we effortlessly recognize as symmetrical. From t......more
This concise textbook introduces the reader to advanced mathematical aspects of general relativity, covering topics like......more
Chapter 1. Homological Algebra 1.- Chapter 2. Homological Algebra 2, Derived Functions.- Chapter 3. Homological Algebra ......more
This textbook introduces exciting new developments and cutting-edge results on the theme of hyperbolicity. Written by le......more
This textbook demonstrates how differential calculus, smooth manifolds, and commutative algebra constitute a unified who......more
This volume combines an introduction to central collineations with an introduction to projective geometry, set in its hi......more
This textbook invites readers to explore the properties of objects that we effortlessly recognize as symmetrical. From t......more
This textbook is designed for a one or two semester graduate course on Riemannian geometry for students who are familia......more
Designed for an undergraduate course or for independent study, this text presents sophisticated mathematical ideas in an......more
This brief focuses on the structural properties of nonlinear time-delay systems. It provides a link between coverage of ......more
The textbook provides both beginner and experienced CAD users with the math behind the CAD. The geometry tools introduce......more
In this book, Cathleen Heil addresses the question of how to conceptually understand children’s spatial thought in the c......more
This textbook provides a gentle introduction to intersection homology and perverse sheaves, where concrete examples and ......more
The aim of these lecture notes is to propose a systematic framework for geometry and analysis on metric spaces. The cent......more
This book is an exposition of the theoretical foundations of hyperbolic manifolds. It is intended to be used both as a t......more
This textbook provides a unified and concise exploration of undergraduate mathematics by approaching the subject through......more
This unique textbook offers a mathematically rigorous presentation of the theory of relativity, emphasizing the need for......more
This volume combines an introduction to central collineations with an introduction to projective geometry, set in its hi......more
The textbook provides both beginner and experienced CAD users with the math behind the CAD. The geometry tools introduce......more
Collecting together the lecture notes of the CIME Summer School held in Cetraro in July 2018, the aim of the book is to ......more
Designed for an undergraduate course or for independent study, this text presents sophisticated mathematical ideas in an......more
This textbook provides an introduction to the combinatorial and statistical aspects of commutative algebra with an empha......more
This text provides a comprehensive introduction to Berezin-Toeplitz operators on compact Kähler manifolds. The heart of ......more
Provides a concise but extremely lucid exposition of the basics of algebraic geometry and sheaf theory accompanied by il......more
This second edition provides a thorough introduction to contemporary convex function theory with many new results. A lar......more
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Develops a synergistic framework of relationships among the key mathematical fields in the new science of stochastic geo......more
This unique collection of new and classical problems provides full coverage of geometric inequalities. Many of the 1,000......more
This book offers a short and concise introduction to the many facets of chaos theory. While the study of chaotic behavio......more
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This is one of the first books on a newly emerging field of discrete differential geometry and an excellent way to acces......more
This work investigates how different fifth-grade students solve spatial-verbal tasks and the role of language in this pr......more
Develops a synergistic framework of relationships among the key mathematical fields in the new science of stochastic geo......more
Statistical analysis of shapes of 3D objects is an important problem with a wide range of applications. This analysis is......more
This book starts with a concise but rigorous overview of the basic notions of projective geometry, using straightforward......more
Differential Calculus.- Manifolds: The Basics.- From Local to Global.- Lie Groups.- Differential Forms.- Integration and......more
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The present publication contains a special collection of research and review articles on deformations of surface singula......more
This book offers an introduction to the theory of smooth manifolds, helping students to familiarize themselves with the ......more
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The Lie Theory Workshop, founded by Joe Wolf (UC, Berkeley), has been running for over two decades. These workshops have......more
This book is the result of a joint venture between Professor Akio Kawauchi, Osaka City University, well-known for his r......more
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