Its main objective is to illustrate how these non-smooth geometries manifest in various mathematical domains, including metric geometry and geometric group theory....Daugiau...
This textbook is intended for an introductory course in the theory of complex analysis and Riemann surfaces. A special feature includes the systematic treatment of complex analysis from the point of view of partial differential equations. The main...Daugiau...
In addition to covering the essentials, the authors intention in writing this text is to entice the reader to further study mathematical logic. There is no current standard text for a first graduate course in mathematical logic and this book w...Daugiau...
(Išleidimo metai: 13-Dec-2024, Hardback, Leidėjas: Springer-Verlag Berlin and Heidelberg GmbH & Co. K, ISBN-13: 9783662701065)
This standard textbook on modern graph theory combines the authority of a classic with the engaging freshness of style that is the hallmark of active mathematics. It covers the core material of the subject, with concise yet complete proofs, while...Daugiau...
This textbook is designed for a one-year graduate course in real algebraic geometry, with a particular focus on positivity and sums of squares of polynomials. The first half of the book features a thorough introduction to ordered fields a...Daugiau...
This self-contained text introduces Euclidean Fourier Analysis to graduate students who have completed courses in Real Analysis and Complex Variables. It provides sufficient content for a two course sequence in Fourier Analysis or Harmonic Analy...Daugiau...
More Explorations in Complex Functions is something of a sequel to GTM 287, Explorations in Complex Functions. The intended readership is the same, namely graduate students and researchers in complex analysis, independent readers, seminar attendees,...Daugiau...
This text presents the basic theory of random walks on infinite, finitely generated groups, along with certain background material in measure-theoretic probability. The main objective is to show how structural features of a group, such as amenabil...Daugiau...
In addition to covering the essentials, the authors intention in writing this text is to entice the reader to further study mathematical logic. There is no current standard text for a first graduate course in mathematical logic and this book w...Daugiau...
This textbook offers an introduction to the theory of Drinfeld modules, mathematical objects that are fundamental to modern number theory.After the first two chapters conveniently recalling prerequisites from abstr...Daugiau...
The goal of this textbook is to introduce and study automorphic representations, objects at the very core of the Langlands Program. It is designed for use as a primary text for either a semester or a year-long course, for the independent study of...Daugiau...
This textbook introduces the study of partial differential equations using both analytical and numerical methods. By intertwining the two complementary approaches, the authors create an ideal foundation for further study. Motivating examples from...Daugiau...
This textbook introduces readers to the fundamental notions of modern probability theory. The only prerequisite is a working knowledge in real analysis. Highlighting the connections between martingales and Markov chains on one hand, and Brownian m...Daugiau...
More Explorations in Complex Functions is something of a sequel to GTM 287, Explorations in Complex Functions. The intended readership is the same, namely graduate students and researchers in complex analysis, independent readers, seminar attendees,...Daugiau...
This text presents the basic theory of random walks on infinite, finitely generated groups, along with certain background material in measure-theoretic probability. The main objective is to show how structural features of a group, such as amenabil...Daugiau...
This textbook offers an introduction to the theory of Drinfeld modules, mathematical objects that are fundamental to modern number theory.After the first two chapters conveniently recalling prerequisites from abstr...Daugiau...
This textbook introduces the study of partial differential equations using both analytical and numerical methods. By intertwining the two complementary approaches, the authors create an ideal foundation for further study. Motivating examples from...Daugiau...
