Geometry category: 871 books

This classic monograph by a mathematician affiliated with Trinity College, Cambridge, offers a brief account of the invariant theory connected with a single quadratic differential form. Suitable for advanced undergraduates and graduate students of mathematics, it avoids unnecessary analysis and offers...

Practice graphing while cleaning up the school! In this engaging title, a summer storm leaves the school in a mess, so students work to clean it up. Young readers can practice their graphing and STEM skills by creating graphs of the items collected to determine what needs to be recycled. This book...

The Arctic ecosystem is diverse, fascinating, and special. The animals and people who live there have adapted to the icy landscape. But because the Earth's temperature is warming, the polar ice in the Arctic is melting. Discover why it's so important to save the Arctic, not just for the people and...

La matematica, questa sconosciuta o, peggio, misconosciuta! La incontriamo tutti fin dalla più tenera età, quando cominciamo a balbettare “uno, due, ...”, e ci è compagna sui banchi di scuola fin dalla prima elementare, eppure per molti rimane una cosa misteriosa, fredda e distante al punto...

Based on a graduate course at the Technische Universität, Berlin, these lectures present a wealth of material on the modern theory of convex polytopes. The straightforward exposition features many illustrations, and complete proofs for most theorems. With only linear algebra as a prerequisite, it...

At the heart of this monograph is the Brunn–Minkowski theory, which can be used to great effect in studying such ideas as volume and surface area and their generalizations. In particular, the notions of mixed volume and mixed area measure arise naturally and the fundamental inequalities that are...

This textbook is perfect for a math course for non-math majors, with the goal of encouraging effective analytical thinking and exposing students to elegant mathematical ideas.  It includes many topics commonly found in sampler courses, like Platonic solids, Euler’s formula, irrational numbers,...

The Only Undergraduate Textbook to Teach Both Classical and Virtual Knot Theory An Invitation to Knot Theory: Virtual and Classical gives advanced undergraduate students a gentle introduction to the field of virtual knot theory and mathematical research. It provides the foundation for students...

The origami introduced in this book is based on simple techniques. Some were previously known by origami artists and some were discovered by the author. Curved-Folding Origami Design shows a way to explore new area of origami composed of curved folds. Each technique is introduced in a step-by-step...

​​​​​​​​Geodesic Convexity in Graphs is devoted to the study of the geodesic convexity on finite, simple, connected graphs. The first chapter includes the main definitions and results on graph theory, metric graph theory and graph path convexities. The following chapters focus exclusively...

Focussing on the mathematics related to the recent proof of ergodicity of the (Weil–Petersson) geodesic flow on a nonpositively curved space whose points are negatively curved metrics on surfaces, this book provides a broad introduction to an important current area of research. It offers original...

En este libro se describe el método seguido para armar la maqueta de una casa planeada para que funcionará a prueba de inundaciones y fuertes vientos. El modelo fue modificado para que pudiera funcionar también en caso de tsunamis.

This book contains a detailed account of the result of the author's recent Annals paper and JAMS paper on arithmetic invariant, including μ-invariant, L-invariant, and similar topics.   This book can be regarded as an introductory text to the author's previous book p-Adic Automorphic Forms on Shimura...

The final volume of the three-volume edition, this book features classical papers on algebraic and differential topology published in the 1950s–1960s. The partition of these papers among the volumes is rather conditional. The original methods and constructions from these works are properly documented...