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A Course in Combinatorics and Graphs

A Course in Combinatorics and Graphs

This compact textbook consists of lecture notes given as a fourth-year undergraduate course of the mathematics degree at......more

The Gravity of Math: How Geometry Rules the Universe

The Gravity of Math: How Geometry Rules the Universe

One of the preeminent mathematicians of the past half century shows how physics and math were combined to give us the th......more

Geometrical Kaleidoscope (Second Edition)

Geometrical Kaleidoscope (Second Edition)

The goal of the book is to provide insight into many enjoyable and fascinating aspects of geometry, and to reveal intere......more

Geometrical Kaleidoscope (Second Edition)

Geometrical Kaleidoscope (Second Edition)

The goal of the book is to provide insight into many enjoyable and fascinating aspects of geometry, and to reveal intere......more

Symplectic and Contact Geometry: A Concise Introduction

Symplectic and Contact Geometry: A Concise Introduction

This textbook offers a concise introduction to symplectic and contact geometry, with a focus on the relationships betwee......more

The Golden Ratio with two million digits: The Golden Ratio, Phi, (φ), printed with two million digits, in a single volume

The Golden Ratio with two million digits: The Golden Ratio, Phi, (φ), printed with two million digits, in a single volume

  • Ingram,出版日期:2024-04-01

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

Geometric Gems I: Triangles and Quadrilaterals

Geometric Gems I: Triangles and Quadrilaterals

Our physical world is embedded in a geometric environment. Plane geometry has many amazing wonders beyond those that are......more

Interaction between Science, Technology and Society vs Ethnomathematics

Interaction between Science, Technology and Society vs Ethnomathematics

This book is the result of a didactic and, at the same time, exploratory study of the "ethno" and mathematical concepts ......more

Polytopes and Graphs

Polytopes and Graphs

This book introduces convex polytopes and their graphs, alongside the results and methodologies required to study them. ......more

A Geometrical Approach to Physics

A Geometrical Approach to Physics

This book provides an accessible introduction to using the tools of differential geometry to tackle a wide range of topi......more

A Geometrical Approach to Physics

A Geometrical Approach to Physics

This book provides an accessible introduction to using the tools of differential geometry to tackle a wide range of topi......more

In the Tradition of Thurston III: Geometry and Dynamics

In the Tradition of Thurston III: Geometry and Dynamics

  • Ingram,出版日期:2024-03-20

William Thurston’s ideas have altered the course of twentieth century mathematics, and they continue to have a significa......more

Differential Geometric Structures and Applications: 4th International Workshop on Differential Geometry, Haifa, Israel, May 10-13, 2023

Differential Geometric Structures and Applications: 4th International Workshop on Differential Geometry, Haifa, Israel, May 10-13, 2023

  • Ingram,出版日期:2024-03-16

This proceedings contains a collection of selected, peer-reviewed contributions from the 4th International Workshop "Dif......more

A Primer on Smooth Manifolds

A Primer on Smooth Manifolds

Differential Geometry is one of the major branches of current Mathematics, and it is an unavoidable language in modern P......more

Lectures in Fractal Geometry

Lectures in Fractal Geometry

This book is based on a series of lectures at the Mathematics Department of the University of Jena, developed in the per......more

The Cohomology of Monoids

The Cohomology of Monoids

This monograph covers topics in the cohomology of monoids up through recent developments. Jonathan Leech’s original mono......more

Krasner Hyperring Theory

Krasner Hyperring Theory

The theory of algebraic hyperstructures, in particular the theory of Krasner hyperrings, has seen a spectacular developm......more

Geometric Gems I: Triangles and Quadrilaterals

Geometric Gems I: Triangles and Quadrilaterals

Our physical world is embedded in a geometric environment. Plane geometry has many amazing wonders beyond those that are......more

The Fifty-Nine Icosahedra

The Fifty-Nine Icosahedra

Kate and David Crennell produced a third edition for Tarquin some years ago. The plans and illustrations of all 59 of th......more

Reshaping Convex Polyhedra

Reshaping Convex Polyhedra

the="" study="" of="" convex="" polyhedra="" in="" ordinary="" space="" is="" a="" central="" piece="" classical="" and=......more

Extended Abstracts 2021/2022: Methusalem Lectures

Extended Abstracts 2021/2022: Methusalem Lectures

  • Ingram,出版日期:2024-02-29

This volume presents modern developments in analysis, PDEs and geometric analysis by some of the leading worldwide exper......more

The First Six Books of the Elements of Euclid

The First Six Books of the Elements of Euclid

Very little is known of Euclid’s life, and most information comes from the scholars Proclus and Pappus of Alexandria man......more

Maths and Technology

Maths and Technology

This work aims to verify the feasibility of using the GeoGebra educational software in Vocational Education Integrated w......more

Metric Algebraic Geometry

Metric Algebraic Geometry

Metric algebraic geometry combines concepts from algebraic geometry and differential geometry. Building on classical fou......more

A Full Axiomatic Development of High School Geometry

A Full Axiomatic Development of High School Geometry

This textbook provides a full and complete axiomatic development of exactly that part of plane Euclidean geometry that f......more

Point-Set Topology with Topics: Basic General Topology for Graduate Studies

Point-Set Topology with Topics: Basic General Topology for Graduate Studies

This textbook can be used as introduction to a general topology course at undergraduate and graduate level courses. Howe......more

Computing Voronoi Diagram of Higher Order Geometric Objects

Computing Voronoi Diagram of Higher Order Geometric Objects

Voronoi diagrams, named after the Russian mathematician Georgy Feodosievych Voronoy, are geometric structures that have ......more

Royal Road to Topology, A: Convergence of Filters

Royal Road to Topology, A: Convergence of Filters

Topological spaces are a special case of convergence spaces. This textbook introduces topology within a broader context ......more

Geometry, Symmetries, and Classical Physics: A Mosaic

Geometry, Symmetries, and Classical Physics: A Mosaic

This book provides advanced undergraduate physics and mathematics students with an accessible yet detailed understanding......more

Derived Algebraic Geometry: An Elemental Approach

Derived Algebraic Geometry: An Elemental Approach

The second edition presents schemes, simplicial sets, higher categories, model categories, derived algebraic geometry, a......more

The Mathematics of Quantum Mechanics in Highly-Curved Spacetime

The Mathematics of Quantum Mechanics in Highly-Curved Spacetime

Unravel the intricate relationship between quantum mechanics and highly-curved spacetime in this groundbreaking book by ......more

Methods of Geometry in the Theory of Partial Differential Equations: Principle of the Cancellation of Singularities

Methods of Geometry in the Theory of Partial Differential Equations: Principle of the Cancellation of Singularities

Mathematical models are used to describe the essence of the real world, and their analysis induces new predictions fille......more

Conformal Vector Fields, Ricci Solitons and Related Topics

Conformal Vector Fields, Ricci Solitons and Related Topics

This book provides an up-to-date introduction to the theory of manifolds, submanifolds, semi-Riemannian geometry and war......more

Spin/Pin Structures & Real Enumerative Geometry

Spin/Pin Structures & Real Enumerative Geometry

Spin/Pin-structures on vector bundles have long featured prominently in differential geometry, in particular providing p......more

Affine Algebraic Geometry: Geometry of Polynomial Rings

Affine Algebraic Geometry: Geometry of Polynomial Rings

Algebraic geometry is more advanced with the completeness condition for projective or complete varieties. Many geometric......more

The Cartoon Guide to Geometry

The Cartoon Guide to Geometry

A comprehensive new illustrated guide to geometry--from New York Times bestselling cartoonist Larry Gonick What’s the po......more

Quantum Gravity in a Nutshell1

Quantum Gravity in a Nutshell1

This well researched and thought experiment book is a good introduction to quantum gravity and has a lot of interesting ......more

On the properties of K. Beretsky’s partition constructions

On the properties of K. Beretsky’s partition constructions

This book is devoted to a survey of non-normal partitions of hyperbolic space, in particular a survey of irregular parti......more

An Invitation to Modern Enumerative Geometry

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 e......more

Metric Space Topology

Metric Space Topology

This introductory book contains a rich collection of exercises and worked examples in Metric Spaces. Other than question......more

Determinants, Gröbner Bases and Cohomology

Determinants, Gröbner Bases and Cohomology

This book offers an up-to-date, comprehensive account of determinantal rings and varieties, presenting a multitude of me......more

The Big Bang of Numbers: How to Build the Universe Using Only Math

The Big Bang of Numbers: How to Build the Universe Using Only Math

Finalist for the PEN/E.O. Wilson Literary Science Writing Award "What a fun escape! Reminds me of math books I read when......more

Algebraic Geometry II: Cohomology of Schemes: With Examples and Exercises

Algebraic Geometry II: Cohomology of Schemes: With Examples and Exercises

This book completes the comprehensive introduction to modern algebraic geometry which was started with the introductory ......more

Pure Metric Geometry

Pure Metric Geometry

This book serves as an introductory asset for learning metric geometry by delivering an in-depth examination of key cons......more

Geometric Transformations

Geometric Transformations

This textbook teaches the transformations of plane Euclidean geometry through problems, offering a transformation-based ......more

The Teaching of Geometry

The Teaching of Geometry

The Teaching of Geometry, a classical and rare book that has been considered essential throughout human history, so that......more

Coherent Sheaves, Superconnections, and Riemann-Roch-Grothendieck

Coherent Sheaves, Superconnections, and Riemann-Roch-Grothendieck

This monograph addresses two significant related questions in complex geometry: the construction of a Chern character on......more

Tensor Calculus and Differential Geometry for Engineers: With Solved Exercises

Tensor Calculus and Differential Geometry for Engineers: With Solved Exercises

The book contains the basics of tensor algebra as well as a comprehensive description of tensor calculus, both in Cartes......more

Geometric Analysis on Real Analytic Manifolds

Geometric Analysis on Real Analytic Manifolds

This monograph provides some useful tools for performing global geometric analysis on real analytic manifolds. At the co......more

Nonlinear Waves and Solitons on Contours and Closed Surfaces

Nonlinear Waves and Solitons on Contours and Closed Surfaces

This new edition has been thoroughly revised, expanded and contain some updates function of the novel results and shift ......more

Metric Spaces and Related Analysis

Metric Spaces and Related Analysis

This book offers the comprehensive study of one of the foundational topics in Mathematics, known as Metric Spaces. The b......more

Recent Advances in Alexandrov Geometry

Recent Advances in Alexandrov Geometry

  • Ingram,出版日期:2023-10-28

This volume is devoted to various aspects of Alexandrov Geometry for those wishing to get a detailed picture of the adva......more

Mathematical Methods for Engineers and Scientists 1: Complex Analysis and Linear Algebra

Mathematical Methods for Engineers and Scientists 1: Complex Analysis and Linear Algebra

Pedagogical insights gained through 30 years of teaching applied mathematics led the author to write this set of student......more

Complex Algebraic Threefolds

Complex Algebraic Threefolds

The first book on the explicit birational geometry of complex algebraic threefolds arising from the minimal model progra......more

Scientific Legacy of Professor Zbigniew Oziewicz: Selected Papers from the International Conference Applied Category Theory Graph-Operad-Logic

Scientific Legacy of Professor Zbigniew Oziewicz: Selected Papers from the International Conference Applied Category Theory Graph-Operad-Logic

  • Ingram,出版日期:2023-10-16

Dedicated to the memory of the late Professor Zbigniew Oziewicz from Universidad Nacional Autónoma de México, the book c......more

Interfaces: Modeling, Analysis, Numerics

Interfaces: Modeling, Analysis, Numerics

These lecture notes are dedicated to the mathematical modelling, analysis and computation of interfaces and free boundar......more

Handbook of Geometry and Topology of Singularities IV

Handbook of Geometry and Topology of Singularities IV

  • Ingram,出版日期:2023-10-08

This is the fourth volume of the Handbook of Geometry and Topology of Singularities, a series that aims to provide an ac......more

Direct and Projective Limits of Geometric Banach Structures.

Direct and Projective Limits of Geometric Banach Structures.

This book describes in detail the basic context of the Banach setting and the most important Lie structures found in fin......more

Recent Progress in Mathematics

Recent Progress in Mathematics

  • Ingram,出版日期:2023-10-02

This book consists of five chapters presenting problems of current research in mathematics, with its history and develop......more

Tropical and Logarithmic Methods in Enumerative Geometry

Tropical and Logarithmic Methods in Enumerative Geometry

This book is based on the lectures given at the Oberwolfach Seminar held in Fall 2021. Logarithmic Gromov-Witten theory ......more

Exercises in Linear Algebra and Geometry

Exercises in Linear Algebra and Geometry

This book contains a collection of exercises designed to support and complement the theoretical exposition of standard t......more

Make: Trigonometry: Build Your Way from Triangles to Analytic Geometry

Make: Trigonometry: Build Your Way from Triangles to Analytic Geometry

Trigonometry has 2000-year-old roots in everyday useful endeavors, like finding the size of an object too big or far awa......more

Symmetry: A Mathematical Exploration

Symmetry: A Mathematical Exploration

  • Ingram,出版日期:2023-09-26

Symmetry can be defined as a type of invariance. It refers to the property of a mathematical object remaining unchanged ......more

Divided Spheres: Geodesics and the Orderly Subdivision of the Sphere

Divided Spheres: Geodesics and the Orderly Subdivision of the Sphere

Praise for the previous edition [. . .] Dr. Popko’s elegant new book extends both the science and the art of spherical m......more

Local Systems in Algebraic-Arithmetic Geometry

Local Systems in Algebraic-Arithmetic Geometry

The topological fundamental group of a smooth complex algebraic variety is poorly understood. One way to approach it is ......more

Discrete Geometry and Symmetry

Discrete Geometry and Symmetry

  • Ingram,出版日期:2023-09-19

Discrete geometry refers to a subfield of geometry that examines discrete and highly symmetric structures in geometry an......more

Theory and Applications of Information Geometry

Theory and Applications of Information Geometry

  • Ingram,出版日期:2023-09-19

Information geometry refers to an interdisciplinary field that studies probability theory and statistics by using method......more

Information Geometry and Its Applications

Information Geometry and Its Applications

  • Ingram,出版日期:2023-09-19

Information geometry refers to an interdisciplinary field that studies statistics and probability theory by applying the......more

Reshetnyak’s Theory of Subharmonic Metrics

Reshetnyak’s Theory of Subharmonic Metrics

  • Ingram,出版日期:2023-09-16

Despite the fundamental role played by Reshetnyak’s work in the theory of surfaces of bounded integral curvature, the pr......more

The Diagram: Harmonic Geometry

The Diagram: Harmonic Geometry

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

New Techniques in Resolution of Singularities

New Techniques in Resolution of Singularities

Resolution of singularities is notorious as a difficult topic within algebraic geometry. Recent work, aiming at resoluti......more

Character Map in Nonabelian Cohomology, The: Twisted, Differential, and Generalized

Character Map in Nonabelian Cohomology, The: Twisted, Differential, and Generalized

This book presents a novel development of fundamental and fascinating aspects of algebraic topology and mathematical phy......more

Dual Jet Geometrization for Time-Dependent Hamiltonians and Applications

Dual Jet Geometrization for Time-Dependent Hamiltonians and Applications

This book studies a category of mathematical objects called Hamiltonians, which are dependent on both time and momenta. ......more

Differential Geometry and Its Visualization

Differential Geometry and Its Visualization

Differential Geometry and Its Visualization is suitable for graduate level courses in differential geometry, serving bot......more

Branes and Daha Representations

Branes and Daha Representations

In recent years, there has been an increased interest in exploring the connections between various disciplines of mathem......more

Algebraic Biology, Matrix Genetics, and Genetic Intelligence

Algebraic Biology, Matrix Genetics, and Genetic Intelligence

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

Aspects of Integration: Novel Approaches to the Riemann and Lebesgue Integrals

Aspects of Integration: Novel Approaches to the Riemann and Lebesgue Integrals is comprised of two parts. The first part......more

Grassmann and Stiefel Varieties Over Composition Algebras

Grassmann and Stiefel Varieties Over Composition Algebras

This monograph deals with matrix manifolds, i.e., manifolds for which there is a natural representation of their element......more

Seeing Four-Dimensional Space and Beyond: Using Knots!

Seeing Four-Dimensional Space and Beyond: Using Knots!

According to string theory, our universe exists in a 10- or 11-dimensional space. However, the idea the space beyond 3 d......more

Discrete, Finite and Lie Groups: Comprehensive Group Theory in Geometry and Analysis

Discrete, Finite and Lie Groups: Comprehensive Group Theory in Geometry and Analysis

In a self contained and exhaustive work the author covers Group Theory in its multifaceted aspects, treating its concept......more

Activate Your Highest Potential With Sacred Geometry: A Practical Guide to Freedom, Authenticity and Fulfilment

Activate Your Highest Potential With Sacred Geometry: A Practical Guide to Freedom, Authenticity and Fulfilment

ARE YOU READY TO STEP INTO YOUR HIGHEST POTENTIAL? This book is your guide to reaching your highest potential in alignme......more

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