Geometry Books

Given the ease with which computers can do iteration it is now possible for almost anyone to generate beautiful images whose roots lie in discrete dynamical systems. Images of Mandelbrot and Julia sets abound in publications...

Using the proof of the non-trisectability of an arbitrary angle as a final goal, the author develops in an easy conversational style the basics of rings, fields, and vector spaces. Originally developed as a text for an...

Topics in Hyperplane Arrangements, Polytopes and Box-Splines brings together many areas of research that focus on methods to compute the number of integral points in suitable families or variable polytopes. The topics introduced expand upon differential...

This book surveys the differential geometry of varieties with degenerate Gauss maps, using moving frames and exterior differential forms as well as tensor methods. The authors illustrate the structure of varieties with...

This is a description of the underlying principles of algebraic geometry, some of its important developments in the twentieth century, and some of the problems that occupy its practitioners today. It is intended for the working...

Designed for a junior-senior level course for mathematics majors, including those who plan to teach in secondary school. The first chapter presents several finite geometries in an axiomatic framework, while Chapter 2 continues...

Grothendieck's beautiful theory of schemes permeates modern algebraic geometry and underlies its applications to number theory, physics, and applied mathematics. This simple account of that theory emphasizes and explains the...

A guide to a rich and fascinating subject: algebraic curves and how they vary in families. Providing a broad but compact overview of the field, this book is accessible to readers with a modest background in algebraic geometry...

Geometric constructions have been a popular part of mathematics throughout history. The first chapter here is informal and starts from scratch, introducing all the geometric constructions from high school that have been...

This text focuses on developing an intimate acquaintance with the geometric meaning of curvature and thereby introduces and demonstrates all the main technical tools needed for a more advanced course on Riemannian manifolds. It...

This book offers an introductory course in algebraic topology. Starting with general topology, it discusses differentiable manifolds, cohomology, products and duality, the fundamental group, homology theory, and homotopy theory. From the reviews: "An...

From the very beginning, algebraic topology has developed under the influ­ ence of the problems posed by trying to understand the topological properties of complex algebraic varieties (e.g., the pioneering work by Poincare and...

Sheaves arose in geometry as coefficients for cohomology and as descriptions of the functions appropriate to various kinds of manifolds. Sheaves also appear in logic as carriers for models of set theory. This text presents...

. Non-Euclidean Constructions.- 2. Characteristics of Trisectors.- 3. Three Trisectors.- 4. A Budget of Trisections.

Up until recently, Riemannian geometry and basic topology were not included, even by departments or faculties of mathematics, as compulsory subjects in a university-level mathematical education. The standard courses in the...

In the introduction to the first volume of The Arithmetic of Elliptic Curves (Springer-Verlag, 1986), I observed that "the theory of elliptic curves is rich, varied, and amazingly vast," and as a consequence, "many important...

The subject of space-filling curves has fascinated mathematicians for over a century and has intrigued many generations of students of mathematics. Working in this area is like skating on the edge of reason. Unfortunately, no...

This introduction to modern geometry differs from other books in the field due to its emphasis on applications and its discussion of special relativity as a major example of a non-Euclidean geometry. Additionally, it covers the...

This second edition is based off of the very popular Shaping Space: A Polyhedral Approach, first published twenty years ago. The book is expanded and updated to include new developments, including the revolutions in...

The textbook Geometry, published in French by CEDICjFernand Nathan and in English by Springer-Verlag (scheduled for 1985) was very favorably re­ ceived. Nevertheless, many readers found the text too concise and the exercises at...

This book is a text for junior, senior, or first-year graduate courses traditionally titled Foundations of Geometry and/or Non­ Euclidean Geometry. The first 29 chapters are for a semester or year course on the foundations of...

This is essentially a book on linear algebra. But the approach is somewhat unusual in that we emphasise throughout the geometric aspect of the subject. The material is suitable for a course on linear algebra for mathe­ matics...

At the present time, the average undergraduate mathematics major finds mathematics heavily compartmentalized. After the calculus, he takes a course in analysis and a course in algebra. Depending upon his interests (or those of...

This graduate/advanced undergraduate textbook contains a systematic and elementary treatment of finite groups generated by reflections. The approach is based on fundamental geometric considerations in Coxeter complexes, and emphasizes the intuitive...

Geometric Etudes in Combinatorial Mathematics is not only educational, it is inspirational. This distinguished mathematician captivates the young readers, propelling them to search for solutions of life's problems-problems that previously seemed hopeless...

Thomas Cecil is a math professor with an unrivalled grasp of Lie Sphere Geometry. Here, he provides a clear and comprehensive modern treatment of the subject, as well as its applications to the study of Euclidean submanifolds...

A book on any mathematical subject beyond the textbook level is of little value unless it contains new ideas and new perspectives. It helps to include new results, provided that they give the reader new insights and are...

Conics and Cubics offers an accessible and well illustrated introduction to algebraic curves. By classifying irreducible cubics over the real numbers and proving that their points form Abelian groups, the book gives readers...

First textbook-level account of basic examples and techniques in this area. Suitable for self-study by a reader who knows a little commutative algebra and algebraic geometry already. David Eisenbud is a well-known...

The branch of mathematics which deals with the properties of space is known as geometry. It studies the dimensions, shape and position of figures in either a 2-Dimensional or 3-Dimensional space. Some basic concepts of this field include line, surface,...

Geometry in Modern Life is a book written by John Scott Russell and first published in 1878. It is based on two lectures that Russell gave before the Literary Society at Eton. The book explores the practical applications of geometry in modern life,...

Geometrical Exercises: For Beginners is a book written by Samuel Constable and originally published in 1882. The book is intended for beginners and provides a series of exercises designed to help them develop their understanding of geometry. The...

""First Steps in Geometry"" is a comprehensive textbook on the subject of geometry, written by George Albert Wentworth and originally published in 1901. The book is designed to provide students with a thorough introduction to the principles of geometry,...

First Lessons in Geometry is a book written by Thomas Hill and originally published in 1881. The book is intended to serve as an introductory guide to the study of geometry, offering a comprehensive overview of the basic principles and concepts of the...

""Exercises On Mensuration: With Solutions"" is a book written by David Munn in 1874. The book is a comprehensive guide to mensuration, which is the branch of mathematics that deals with the measurement of geometric figures such as lines, angles,...

Euclid's Elements is the most famous mathematical work of classical antiquity, and has had a profound influence on the development of modern Mathematics and Physics. This volume contains the definitive Ancient Greek text of J.L. Heiberg (1883), together...

Das Buch ""Anleitung Zur Differenzialrechnung V1: Und Zu Deren Sowohl Analytischem Als Geometrischem Gebranche"" wurde im Jahr 1852 von Christian Krick ver������ffentlicht. Es ist ein Lehrbuch, das eine Einf�����hrung in die Differentialrechnung bietet...

""Anleitung zur Aufl������sung geometrischer Aufgaben"" ist ein Buch von Christian Nagel, das 1840 ver������ffentlicht wurde. Das Buch ist ein Lehrbuch f�����r Geometrie und bietet eine umfassende Anleitung zur L������sung geometrischer Probleme. Es...

""Anleitung zum Studium der Darstellenden Geometrie: Mit vorz�����glicher R�����cksicht"" ist ein Buch von Johann Honig, das erstmals 1845 ver������ffentlicht wurde. Das Werk ist eine Anleitung zum Studium der Darstellenden Geometrie, einem Zweig der...

Das Buch ""Anleitung zur ebenen und sph�����rischen Trigonometrie: und zur Anwendung der Algebra auf die Geometrie"" von Lacroix, Silvestre Francois wurde im Jahr 1822 ver������ffentlicht. Es handelt sich um ein Lehrbuch, das sich mit den Themen der...

Das Buch ""Anleitung Zur Berechnung Der Rechtwinkligen Sph�����rischen Koordinaten Der Dreieckspunkte"" von Otto Borsch wurde im Jahr 1868 ver������ffentlicht. Es handelt sich um eine Anleitung zur Berechnung der rechtwinkligen sph�����rischen...

Das Buch ""Anfangsgr�����nde der Geometrischen Disciplinen, Teil 1-3"" wurde im Jahr 1860 von Johann Heinrich Jakob M�����ller ver������ffentlicht. Es handelt sich um ein Werk, das sich mit den Grundlagen der Geometrie besch�����ftigt und in drei Teilen...

Das Buch ""Analytische Geometrie Des Kreises: Systematisch Ausgearbeitet Als Einleitung In Die Hohere Geometrie"" von Ludwig Mack wurde im Jahr 1855 ver������ffentlicht. Es handelt sich um eine umfassende Einf�����hrung in die analytische Geometrie des...

""Anfangsgr�����nde der Goniometrie: oder analytischen Trigonometrie und Polygonometrie"" ist ein Buch, das im Jahr 1800 von Georg Anton Daetzl ver������ffentlicht wurde. Es handelt sich um eine Einf�����hrung in die mathematische Disziplin der...

""Anfangsgr�����nde der Geometrie vorz�����glich zum Gebrauch an technischen Schulen"" ist ein Buch von Paul Huther aus dem Jahr 1838. Es ist ein Lehrbuch f�����r Geometrie, das speziell f�����r den Einsatz an technischen Schulen entwickelt wurde. Das...