A challenging problem-solving book in Euclidean geometry, assuming nothing of the reader other than a good deal of courage. Topics covered included cyclic... Læs mere
Topics covered include combinatorial designs, combinatorial games, matroids, difference sets, Fibonacci numbers, finite geometries, Pascal's triangle, Penrose tilings,... Læs mere
Have you ever wondered about the explicit formulas in analytic number theory? This short book provides a streamlined and rigorous approach to the explicit formulas of Riemann... Læs mere
The goal of this book is to present a portrait of the $n$-dimensional Cremona group with an emphasis on the 2-dimensional case. After recalling some crucial tools, the book describes a naturally defined infinite dimensional hyperbolic space on which the Cremona group acts.
Higher order Fourier analysis is a subject that has become very active only recently. This book serves as an introduction to the field, giving the beginning graduate... Læs mere
Demonstrates that all versions of Heegaard Floer homology, link Floer homology, and sutured Floer homology are natural - they assign... Læs mere
Hassler Whitney was a giant of twentieth-century mathematics. This biography paints a picture of him and includes dozens of revealing anecdotes.... Læs mere
Uses a problem-solving approach to actively engage students in the learning process. The book bridges the study of plane geometry and the study of curves and surfaces of non-constant curvature in three-dimensional Euclidean space.
Challenges the myth that mathematicians lead dull and ascetic lives. From ultra-conservative West Point in the ’60s to ultra-radical Berkeley in the... Læs mere
Using both analytic and elementary methods, this book presents many old and new theorems, including several of the authors' results, and many examples of extremal behaviour... Læs mere
Presents three introductory tutorials coming out of three courses given at the CIMPA Research School “Galois Theory of Difference... Læs mere
The Dynamical Mordell-Lang Conjecture is an analogue of the classical Mordell-Lang conjecture in the context of arithmetic dynamics. This volume presents all known... Læs mere