(Izdošanas datums: 25-Aug-2025, Hardback, Izdevniecība: American Mathematical Society, ISBN-13: 9781470479237)
The theory of positive or completely positive maps from one matrix algebra to another is the mathematical theory underlying the quantum mechanics of finite systems, as well as much of quantum information and computing. Inequalities are fundamental t...Lasīt vairāk
The theory of positive or completely positive maps from one matrix algebra to another is the mathematical theory underlying the quantum mechanics of finite systems, as well as much of quantum information and computing. Inequalities are fundamental t...Lasīt vairāk
Lie algebras blend beauty and power, merging finite and infinite-dimensional theory with rich modern insights. The text navigates semisimple algebra classification, introduces Chevalley bases, and unfolds Kac-Moody and Virasoro algebras, linking str...Lasīt vairāk
Integrating dynamical systems, topology, and analysis, this work examines one-dimensional ergodic operators that capture phenomena in crystals, disordered media, and quasicrystals. Highlighting random and almost-periodic cases, it offers a self-cont...Lasīt vairāk
(Izdošanas datums: 28-Feb-2025, Hardback, Izdevniecība: American Mathematical Society, ISBN-13: 9781470474997)
An engaging introduction to Lie algebras that melds rigorous theory with myriad applications. It reviews both finite- and infinite-dimensional structurescovering classifications, Kac-Moody, and Virasoro algebrasand links abstract constructs to physi...Lasīt vairāk
(Izdošanas datums: 28-Feb-2025, Hardback, Izdevniecība: American Mathematical Society, ISBN-13: 9781470476236)
This book offers a comprehensive exploration of fractal dimensions, self-similarity, and fractal curves. Targeting undergraduate and graduate students, postdocs, mathematicians, and scientists across disciplines, this text requires minimal prerequis...Lasīt vairāk
Explore modern theory of complex projective algebraic curves with vivid examples linking classical geometry, commutative algebra and moduli theory. Beginning with key ideas like projective maps, invertible sheaves and the RiemannRoch theorem, it adv...Lasīt vairāk
(Izdošanas datums: 28-Feb-2025, Hardback, Izdevniecība: American Mathematical Society, ISBN-13: 9781470476373)
This textbook provides readers with a working knowledge of the modern theory of complex projective algebraic curves. Also known as compact Riemann surfaces, such curves shaped the development of algebraic geometry itself, making this theory essentia...Lasīt vairāk
(Izdošanas datums: 17-Feb-2025, Hardback, Izdevniecība: American Mathematical Society, ISBN-13: 9781470465032)
The theory of one-dimensional ergodic operators involves a beautiful synthesis of ideas from dynamical systems, topology, and analysis. Additionally, this setting includes many models of physical interest, including those operators that model crysta...Lasīt vairāk
This book offers a comprehensive exploration of fractal dimensions, self-similarity, and fractal curves. Targeting undergraduate and graduate students, postdocs, mathematicians, and scientists across disciplines, this text requires minimal prerequis...Lasīt vairāk
This textbook provides a thorough overview of bifurcation theory. Assuming some familiarity with differential equations and dynamical systems, it is suitable for use on advanced undergraduate and graduate level and can, in particular, be used for a...Lasīt vairāk
(Izdošanas datums: 31-Jan-2025, Hardback, Izdevniecība: American Mathematical Society, ISBN-13: 9781470477943)
This textbook provides a thorough overview of bifurcation theory. Assuming some familiarity with differential equations and dynamical systems, it is suitable for use on advanced undergraduate and graduate level and can, in particular, be used for a...Lasīt vairāk
(Izdošanas datums: 30-Nov-2024, Hardback, Izdevniecība: American Mathematical Society, ISBN-13: 9781470477677)
Differential geometry is a subject related to many fields in mathematics and the sciences. The authors of this book provide a vertically integrated introduction to differential geometry and geometric analysis. The material is presented in three dist...Lasīt vairāk
Differential geometry is a subject related to many fields in mathematics and the sciences. The authors of this book provide a vertically integrated introduction to differential geometry and geometric analysis. The material is presented in three dist...Lasīt vairāk
This book presents the basics of quantum computing and quantum information theory. It emphasizes the mathematical aspects and the historical continuity of both algorithms and information theory when passing from classical to quantum settings. ...Lasīt vairāk
Complex manifolds are smooth manifolds endowed with coordinate charts that overlap holomorphically. They have deep and beautiful applications in many areas of mathematics. This book is an introduction to the concepts, techniques, and main results abo...Lasīt vairāk
(Izdošanas datums: 30-Sep-2024, Hardback, Izdevniecība: American Mathematical Society, ISBN-13: 9781470476953)
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Complex manifolds are smooth manifolds endowed with coordinate charts that overlap holomorphically. They have deep and beautiful applications in many areas of mathematics. This book is an introduction to the concepts, techniques, and main results abo...Lasīt vairāk
An accessible introduction to translation surfaces. Building on modest prerequisites, the authors focus on the fundamentals behind big ideas in the field: ergodic properties of translation flows, counting problems for saddle connections, and associa...Lasīt vairāk
(Izdošanas datums: 31-Jul-2024, Hardback, Izdevniecība: American Mathematical Society, ISBN-13: 9781470476557)
An accessible introduction to translation surfaces. Building on modest prerequisites, the authors focus on the fundamentals behind big ideas in the field: ergodic properties of translation flows, counting problems for saddle connections, and associa...Lasīt vairāk
(Izdošanas datums: 01-Jul-2024, Hardback, Izdevniecība: American Mathematical Society, ISBN-13: 9781470475574)
This book presents the basics of quantum computing and quantum information theory. It emphasizes the mathematical aspects and the historical continuity of both algorithms and information theory when passing from classical to quantum settings. ...Lasīt vairāk