(Išleidimo metai: 31-Aug-2025, Hardback, Leidėjas: Cambridge University Press, ISBN-13: 9781009504553)
This comprehensive introduction to number theory will reward students and researchers with its insight and thoroughness. Suitable for course use and self-study, it avoids unnecessary abstraction and provides a wealth of thought-provoking examples and...Daugiau...
(Išleidimo metai: 31-Aug-2025, Hardback, Leidėjas: Cambridge University Press, ISBN-13: 9781108844161)
An introduction to type theory and the univalence axiom, aimed at advanced undergraduate and graduate students of mathematics and computer science with an interest in the foundations and formalization of mathematics. Prerequisites are minimal and ove...Daugiau...
Intended for first- or second-year graduate students in mathematics, as well as researchers working in algebraic geometry or combinatorics, this text introduces techniques that are essential in several areas of modern mathematics. With numerous exerc...Daugiau...
(Išleidimo metai: 10-Apr-2025, Hardback, Leidėjas: Cambridge University Press, ISBN-13: 9781009494113)
Oriented matroids appear throughout discrete geometry and have applications in algebra, topology, physics, and data analysis. This introductory text is intended for graduate students, scientists wanting to apply oriented matroids, and researchers in...Daugiau...
(Išleidimo metai: 02-Jan-2025, Hardback, Leidėjas: Cambridge University Press, ISBN-13: 9781009449465)
Abelian model categories are receiving more attention in contemporary research. Including clear diagrammatic proofs, the book provides an elementary treatment of the foundations of abelian and exact model categories. A self-contained introduction for...Daugiau...
This comprehensive introduction to functional analysis covers both the abstract theory and applications. With carefully written out proofs, more than 300 problems, and appendices covering prerequisites, this self-contained volume can be used as a tex...Daugiau...
(Išleidimo metai: 27-Jun-2024, Hardback, Leidėjas: Cambridge University Press, ISBN-13: 9781009344678)
The first graduate-level introduction to the finite generation theorem of the canonical ring, a major achievement of modern algebraic geometry. Largely self-contained, this text explains the basics of minimal model theory, covering all the progress o...Daugiau...
(Išleidimo metai: 23-May-2024, Hardback, Leidėjas: Cambridge University Press, ISBN-13: 9781009123181)
Research in recent years has highlighted the deep connections between the algebraic, geometric, and analytic structures of a discrete group. New methods and ideas have resulted in an exciting field, with many opportunities for new researchers. This b...Daugiau...
(Išleidimo metai: 21-Mar-2024, Hardback, Leidėjas: Cambridge University Press, ISBN-13: 9781009257817)
This book introduces convex polytopes and their graphs, alongside the results and methodologies required to study them. It guides the reader from the basics to current research, presenting many open problems to facilitate the transition. The book inc...Daugiau...
(Išleidimo metai: 15-Feb-2024, Hardback, Leidėjas: Cambridge University Press, ISBN-13: 9781108836623)
Discrete structures, like DNA sequences and the internet, are complex objects created from indivisible parts. Now more accessible to graduate students, this book introduces multivariate generating functions, which are used to create computational too...Daugiau...
(Išleidimo metai: 16-Nov-2023, Hardback, Leidėjas: Cambridge University Press, ISBN-13: 9781009179706)
Optimal mass transport has emerged in the past three decades as an active field with wide-ranging connections to the calculus of variations, PDEs, and geometric analysis. This graduate-level introduction covers the fields theoretical foundation and...Daugiau...
(Išleidimo metai: 26-Oct-2023, Hardback, Leidėjas: Cambridge University Press, ISBN-13: 9781009349987)
Equivariant cohomology has become an indispensable tool in algebraic geometry and in related areas including representation theory, combinatorial and enumerative geometry, and algebraic combinatorics. This text introduces the main ideas of the subjec...Daugiau...
(Išleidimo metai: 19-Oct-2023, Hardback, Leidėjas: Cambridge University Press, ISBN-13: 9781108844239)
The first book on the explicit birational geometry of complex algebraic threefolds, this detailed text covers all the knowledge of threefolds needed to enter the field of higher dimensional birational geometry. Containing over 100 examples and many...Daugiau...
Vladimir Platonov, Andrei Rapinchuk, Igor Rapinchuk
Serija: Cambridge Studies in Advanced Mathematics
(Išleidimo metai: 07-Sep-2023, Hardback, Leidėjas: Cambridge University Press, ISBN-13: 9780521113618)
This is the first volume of a two-volume book that offers an in-depth, and essentially self-contained, treatment of the arithmetic theory of algebraic groups. It is accessible to graduate students and researchers in number theory, algebraic geometry...Daugiau...
Richard Stanleys two-volume basic introduction to enumerative combinatorics has become the standard guide to the topic for students and experts alike. This thoroughly revised second edition of volume two covers the composition of generating function...Daugiau...
(Išleidimo metai: 17-Aug-2023, Hardback, Leidėjas: Cambridge University Press, ISBN-13: 9781009262491)
Richard Stanleys two-volume basic introduction to enumerative combinatorics has become the standard guide to the topic for students and experts alike. This thoroughly revised second edition of volume two covers the composition of generating function...Daugiau...
(Išleidimo metai: 29-Jun-2023, Hardback, Leidėjas: Cambridge University Press, ISBN-13: 9781009280006)
This detailed introduction to cubic hypersurfaces and all the techniques needed to study them leads the reader from classical topics to recent developments studying four-dimensional cubic hypersurfaces. With exercises and careful references to the w...Daugiau...
(Išleidimo metai: 26-Jan-2023, Hardback, Leidėjas: Cambridge University Press, ISBN-13: 9781108478588)
This book gives functional analysts a new perspective on their field and new tools to tackle its problems. It presents and explain many powerful results from the last half century and uses them to solve classical and new results in the theory of (qua...Daugiau...
(Išleidimo metai: 05-Jan-2023, Hardback, Leidėjas: Cambridge University Press, ISBN-13: 9781316510872)
This self-contained treatment of recent developments in geometric inverse problems caters to graduate students and researchers working in inverse problems, differential geometry and microlocal analysis. Many exercises and examples, as well as backgro...Daugiau...
(Išleidimo metai: 22-Dec-2022, Hardback, Leidėjas: Cambridge University Press, ISBN-13: 9781316514887)
This text introduces foundational concepts in infinite-dimensional differential geometry beyond Banach manifolds, exploring modern applications. Emphasising connections to finite-dimensional geometry, it is accessible to graduate students, as well as...Daugiau...
