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Geometry Books

Algebraic geometry

Analytic geometry

Differential and Riemannian geometry

Euclidean geometry

Fractal geometry

Non-Euclidean geometry

Trigonometry

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Philosophy of Mathematics in Antiquity and in Modern Times

Philosophy of Mathematics is understood, in this book, as an effort to clarify such questions that mathematics itself raises but cannot answer with its own methods. These include, for example,...

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$285.00

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An Invitation to Modern Enumerative Geometry

This book is based on a series of lectures given by the author at SISSA, Trieste, within the PhD courses Techniques in enumerative geometry (2019) and Localisation in enumerative geometry (2021). The...

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$294.00

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Determinants, Gröbner Bases and Cohomology

This book offers an up-to-date, comprehensive account of determinantal rings and varieties, presenting a multitude of methods used in their study, with tools from combinatorics, algebra,...

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$294.00

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Directed Quantities in Electrodynamics

This monograph explores classical electrodynamics from a geometrical perspective with a clear visual presentation throughout. Featuring over 200 figures, readers will delve into the definitions,...

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$216.00

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The Absolute Galois Group of a Semi-Local Field

This book is devoted to the structure of the absolute Galois groups of certain algebraic extensions of the field of rational numbers. Its main result, a theorem proved by the authors and Florian Pop...

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$184.00

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Certificates of Positivity for Real Polynomials

This book collects and explains the many theorems concerning the existence of certificates of positivity for polynomials that are positive globally or on semialgebraic sets. A certificate of...

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$220.00

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Geometric Approaches to Quantum Field Theory

The ancient Greeks believed that everything in the Universe should be describable in terms of geometry. This thesis takes several steps towards realising this goal by introducing geometric...

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$348.00

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Instanton Counting, Quantum Geometry and Algebra

This book pedagogically describes recent developments in gauge theory, in particular four-dimensional N = 2 supersymmetric gauge theory, in relation to various fields in mathematics, including...

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$294.00

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Rational Sphere Maps

This monograph systematically explores the theory of rational maps between spheres in complex Euclidean spaces and its connections to other areas of mathematics. Synthesizing research from the last...

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$216.00

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Rationality of Varieties

This book provides an overview of the latest progress on rationality questions in algebraic geometry. It discusses new developments such as universal triviality of the Chow group of zero cycles,...

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$281.00

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The Brauer-Grothendieck Group

This monograph provides a systematic treatment of the Brauer group of schemes, from the foundational work of Grothendieck to recent applications in arithmetic and algebraic geometry. The importance...

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$216.00

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Observer Design for Nonlinear Dynamical Systems

This book presents a differential geometric method for designing nonlinear observers for multiple types of nonlinear systems, including single and multiple outputs, fully and partially observable...

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$216.00

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Geometric Properties for Parabolic and Elliptic PDE's

This book contains the contributions resulting from the 6th Italian-Japanese workshop on Geometric Properties for Parabolic and Elliptic PDEs, which was held in Cortona (Italy) during the week of May...

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$227.00

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Locally Mixed Symmetric Spaces

What do the classification of algebraic surfaces, Weyl's dimension formula and maximal orders in central simple algebras have in common? All are related to a type of manifold called locally mixed...

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$270.00

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Fractal Geometry and Stochastics VI

This collection of contributions originates from the well-established conference series "Fractal Geometry and Stochastics" which brings together researchers from different fields using concepts and...

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$335.00

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Asymptotic, Algebraic and Geometric Aspects of Integrable Systems

This proceedings volume gathers together selected works from the 2018 "Asymptotic, Algebraic and Geometric Aspects of Integrable Systems" workshop that was held at TSIMF Yau Mathematical Sciences...

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$324.00

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In the Tradition of Thurston

This book consists of 16 surveys on Thurston's work and its later development. The authors are mathematicians who were strongly influenced by Thurston's publications and ideas. The subjects discussed...

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$216.00

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Handbook of Geometry and Topology of Singularities I

This volume consists of ten articles which provide an in-depth and reader-friendly survey of some of the foundational aspects of singularity theory. Authored by world experts, the various...

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$249.00

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Mechanisms for Generating Mathematical Curves

This book focuses on important mathematical considerations in describing the synthesis of original mechanisms for generating curves. The synthesis is manual and not based on the use of computer tools...

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$184.00

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Lectures on Nonsmooth Differential Geometry

This book provides an introduction to some aspects of the flourishing field of nonsmooth geometric analysis. In particular, a quite detailed account of the first-order structure of general metric...

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$119.00

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2018 MATRIX Annals

MATRIX is Australia's international and residential mathematical research institute. It facilitates new collaborations and mathematical advances through intensive residential research programs, each...

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$216.00

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Quantitative Tamarkin Theory

This textbook offers readers a self-contained introduction to quantitative Tamarkin category theory. Functioning as a viable alternative to the standard algebraic analysis method, the categorical...

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$108.00

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Rigidity and Symmetry

This book contains recent contributions to the fields of rigidity and symmetry with two primary focuses: to present the mathematically rigorous treatment of rigidity of structures and to explore the ...

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$227.00

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Geometry of the Fundamental Interactions

The Yang-Mills theory of gauge interactions is a prime example of interdisciplinary mathematics and advanced physics. Its historical development is a fascinating window into the ongoing struggle of...

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$184.00

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Inequalities for Differential Forms

This monograph is the first one to systematically present a series of local and global estimates and inequalities for differential forms, in particular the ones that satisfy the A-harmonic equations...

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$227.00

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Arithmetic and Geometry of K3 Surfaces and Calabi-Yau Threefolds

In recent years, research in K3 surfaces and Calabi-Yau varieties has seen spectacular progress from both arithmetic and geometric points of view, which in turn continues to have a huge influence and...

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$220.00

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Distance Geometry

This volume is a collection of research surveys on the Distance Geometry Problem (DGP) and its applications. It will be divided into three parts: Theory, Methods and Applications. Each part will...

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$227.00

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Homogeneous Finsler Spaces

Homogeneous Finsler Spaces is the first book to emphasize the relationship between Lie groups and Finsler geometry, and the first to show the validity in using Lie theory for the study of Finsler...

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$227.00

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CR Submanifolds of Complex Projective Space

1. Complex manifold.- 2. Almost complex structure.- 3. Complex vector space complexification.- 4. Kähler manifold.- 5. Structure equations of a submanifold.- 6. Submanifolds of a Euclidean space.- 7...

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$227.00

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Edmond Halley's Reconstruction of the Lost Book of Apollonius's Conics

Apollonius's Conics was one of the greatest works of advanced mathematics in antiquity. The work comprised eight books, of which four have come down to us in their original Greek and three in Arabic...

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$213.00

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Thirty Essays on Geometric Graph Theory

In many applications of graph theory, graphs are regarded as geometric objects drawn in the plane or in some other surface. The traditional methods of "abstract" graph theory are often incapable of...

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$227.00

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The Geometry of Hamiltonian Systems

The papers in this volume are an outgrowth of the lectures and informal discussions that took place during the workshop on "The Geometry of Hamiltonian Systems" which was held at MSRl from June 5 to...

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$184.00

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Geometric Analysis and Computer Graphics

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$184.00

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Statistical Thermodynamics and Differential Geometry of Microstructured Materials

Substances possessing heterogeneous microstructure on the nanometer and micron scales are scientifically fascinating and technologically useful. Examples of such substances include liquid crystals,...

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$184.00

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Many Valued Topology and its Applications

The 20th Century brought the rise of General Topology. It arose from the effort to establish a solid base for Analysis and it is intimately related to the success of set theory. Many Valued ...

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$184.00

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Non-Connected Convexities and Applications

Lectori salutem! The kind reader opens the book that its authors would have liked to read it themselves, but it was not written yet. Then, their only choice was to write this book, to fill a gap in...

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$227.00

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Lagrange-Type Functions in Constrained Non-Convex Optimization

Lagrange and penalty function methods provide a powerful approach, both as a theoretical tool and a computational vehicle, for the study of constrained optimization problems. However, for a nonconvex...

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$184.00

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Interactive Decision Maps

Since the volume may be of interest to a broad variety of people, it is arranged in parts that require different levels of mathematical background. Part I can be assessed by those interested in the ...

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$227.00

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Pappus of Alexandria

Although not so well known today, Book 4 of Pappus' Collection is one of the most important and influential mathematical texts from antiquity. The mathematical vignettes form a portrait of...

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$184.00

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Symplectic Amalgams

The aim of this book is the classification of symplectic amalgams - structures which are intimately related to the finite simple groups. In all there sixteen infinite families of symplectic amalgams...

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$184.00

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A Combination of Geometry Theorem Proving and Nonstandard Analysis with Application to Newton's Principia

Sir Isaac Newton's philosophi Naturalis Principia Mathematica'(the Principia) contains a prose-style mixture of geometric and limit reasoning that has often been viewed as logically vague.In A ...

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$184.00

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Accurate Visual Metrology from Single and Multiple Uncalibrated Images

Accurate Visual Metrology from Single and Multiple Uncalibrated Images presents novel techniques for constructing three-dimensional models from bi-dimensional images using ...

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$184.00

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Minisum Hyperspheres

-Preface.- 1. Basic Concepts (Circles and Hyperspheres, Minisum Hyperspheres, Mathematical Preliminaries, Finite Dominating Sets).- 2. Euclidean Minisum Hyperspheres (Basic Assumptions, Distance,...

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$184.00

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Generalizations of Thomae's Formula for Zn Curves

Previous publications on the generalization of the Thomae formulae to Zn curves have emphasized the theory's implications in mathematical physics and depended heavily on applied mathematical...

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$227.00

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Quadratic Forms, Linear Algebraic Groups, and Cohomology

Surveys.- Multiples of forms.- On Saltman's p-Adic Curves Papers.- Serre's Conjecture II: A Survey.- Field Patching, Factorization, and Local-Global Principles.- Deformation Theory and Rational...

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$227.00

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Riemann-Roch Algebra

In various contexts of topology, algebraic geometry, and algebra (e.g. group representations), one meets the following situation. One has two contravariant functors K and A from a certain category to...

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$184.00

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Geometry and Topology in Hamiltonian Dynamics and Statistical Mechanics

This book covers a new explanation of the origin of Hamiltonian chaos and its quantitative characterization. The author focuses on two main areas: Riemannian formulation of Hamiltonian dynamics,...

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$176.00

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Topological Fixed Point Theory of Multivalued Mappings

This book is devoted to the topological fixed point theory of multivalued mappings including applications to differential inclusions and mathematical economy. It is the first monograph dealing with...

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$227.00

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Geometry

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