Springer, 2024. — 312 p. — ISBN 978-3-031-61705-8 This book provides an introduction to categorical Donaldson-Thomas (DT) theory, a rapidly developing field which has close links to enumerative geometry, birational geometry, geometric representation theory and classical moduli problems in algebraic geometry. The focus is on local surfaces, i.e. the total spaces of canonical...
De Gruyter, 2024. — 534 p. — ISBN-13 : 978-3110784039 Provides the first systematic study of geometry and topology of locally symmetric rank one manifolds and dynamics of discrete action of their fundamental groups. In addition to geometry and topology, this study involves several other areas of Mathematics – from algebra of varieties of groups representations and geometric...
American Mathematical Society , 2025. — 341 p. — ISBN-13 : 978-1470475345 This volume contains the proceedings of the AMS Special Session on Ends and Boundaries of Groups, held in honor of Michael Mihalik's 70th birthday, from April 15-16, 2023, at the University of Cincinnati, Cincinnati, Ohio. The papers cover current topics in geometric group theory and related topology....
De Gruyter, 2025. — 444 p. — ISBN-13 : 978-3111679464 Observability in Mathematics were developed by authors based on denial of infinity idea. We introduce Observers into arithmetic, and arithmetic becomes dependent on Observers. And after that the basic mathematical parts also become dependent on Observers. One of such parts is geometry. Geometry plays important role not only...
2nd edition. — N. Y.: Wiley, 2003. — 367 p. It is thirteen years since Fractal Geometry - Mathematical Foundations and Applications was first published. In the meantime, the mathematics and applications of fractals have advanced enormously, with an ever-widening interest in the subject at all levels. The book was originally written for those working in mathematics and science...
Boston: Birkhäuser, 1996. — 232 p. The techniques and concepts of modern algebra are introduced for their natural role in the study of projectile geometry; groups appear as automorphism groups of configurations, division rings appear in the study of Desargues' theorem and the study of the independence of the seven axioms given for projectile geometry. Booknews A textbook for a...
New York: John Wiley & Sons, 1969. — 328 p. This is an interesting book which will recall the breadth and sweep of geometry to all who have been privileged to study the subject. Those who wish to abolish the topic should at least read it to see what a range of study is actually involved; the outline is all the clearer for a fairly vigorous pruning of the material. The book...
New York: Academic Press; Elsevier Ltd., 1972. — 240 p. Projective Geometry and Algebraic Structures focuses on the relationship of geometry and algebra, including affine and projective planes, isomorphism, and system of real numbers. The book first elaborates on euclidean, projective, and affine planes, including axioms for a projective plane, algebraic incidence bases, and...
Mineola: Dover Publications, 2006. — 356 p. The basic results and methods of projective and non-Euclidean geometry are indispensable for the geometer, and this book--different in content, methods, and point of view from traditional texts--attempts to emphasize that fact. Results of special theorems are discussed in detail only when they are needed to develop a feeling for the...
New York: Dover Publications, 1977. — 164 p. This book is about the fourth dimension and the structure of our universe. My goal has been to present an intuitive picture of the curved space-time we call home. There are a number of excellent introductions to the separate topics treated here, but there has been no prior weaving of them into a sustained visual account. I looked for...
Пер. с англ. К.И. Осколкова; Под ред. Б.С. Кашина. — М.: Мир, 1988. — 240 с.: ил. — ISBN 5-03-001115-3. Монография датского математика, отражающая результаты, полученные за последние годы в комбинаторной теории выпуклых многогранников. В ней представлены соотношения Дена-Соммервилля, теоремы Макмюллена и Барнетта о максимальном и минимальном числе граней. Изложение отличается...
Пер. с англ. К.И. Осколкова; Под ред. Б.С. Кашина. — М.: Мир, 1988. — 240 с.: ил. — ISBN 5-03-001115-3. Монография датского математика, отражающая результаты, полученные за последние годы в комбинаторной теории выпуклых многогранников. В ней представлены соотношения Дена-Соммервилля, теоремы Макмюллена и Барнетта о максимальном и минимальном числе граней. Изложение отличается...
Под ред. А. П. Нордена. — Москва, Ленинград: ГИТТЛ, 1952. — 207 с. С 24 по 26 февраля 1951 г. в Казанском университете торжественно отмечалось стодвадцатипятилетие открытия Н. И. Лобачевским неевклидовой геометрии (23. II. 1826 г. — 23. II. 1951 г.). На празднование прибыли представители — геометры из других городов СССР, в том числе один из старейших и ведущих геометров...
Prometheus Books, 2012. — 387 p. — ISBN: 1616145870. Requiring no more than a knowledge of high school mathematics and written in clear and accessible language, this book will give all readers a new insight into some of the most enjoyable and fascinating aspects of geometry. Everyone knows what a triangle is, yet very few people appreciate that the common three-sided figure...