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1. |
Record Nr. |
UNINA9910370253103321 |
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Autore |
Natanzon Sergey M |
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Titolo |
Complex Analysis, Riemann Surfaces and Integrable Systems / / by Sergey M. Natanzon |
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Pubbl/distr/stampa |
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Cham : , : Springer International Publishing : , : Imprint : Springer, , 2019 |
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ISBN |
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Edizione |
[1st ed. 2019.] |
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Descrizione fisica |
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1 online resource (XIII, 139 p. 22 illus.) |
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Collana |
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Moscow Lectures, , 2522-0314 ; ; 3 |
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Disciplina |
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Soggetti |
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Mathematical analysis |
Analysis (Mathematics) |
Analysis |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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Holomorphic functions -- Meromorphic functions -- Riemann's theorem -- Harmonic functions -- Riemann surfaces and their modules -- Compact Riemann surfaces and algebraic curves -- Riemann-Roch theorem and theta functions -- Integrable Systems -- The formula for the conformal mapping of an arbitrary domain into the unit disk. |
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Sommario/riassunto |
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This book is devoted to classical and modern achievements in complex analysis. In order to benefit most from it, a first-year university background is sufficient; all other statements and proofs are provided. We begin with a brief but fairly complete course on the theory of holomorphic, meromorphic, and harmonic functions. We then present a uniformization theory, and discuss a representation of the moduli space of Riemann surfaces of a fixed topological type as a factor space of a contracted space by a discrete group. Next, we consider compact Riemann surfaces and prove the classical theorems of Riemann-Roch, Abel, Weierstrass, etc. We also construct theta functions that are very important for a range of applications. After that, we turn to modern applications of this theory. First, we build the (important for mathematics and mathematical physics) Kadomtsev-Petviashvili hierarchy and use validated results to arrive at important solutions to these differential equations. We subsequently use the theory of harmonic functions and the theory of differential hierarchies to |
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explicitly construct a conformal mapping that translates an arbitrary contractible domain into a standard disk – a classical problem that has important applications in hydrodynamics, gas dynamics, etc. The book is based on numerous lecture courses given by the author at the Independent University of Moscow and at the Mathematics Department of the Higher School of Economics. |
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2. |
Record Nr. |
UNINA9911010526203321 |
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Autore |
Perini Katia |
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Titolo |
Nature-Based Cities : Performance-Driven Design Approaches for Climate Change Adaptation / / by Katia Perini, Francesca Mosca |
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Pubbl/distr/stampa |
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Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2025 |
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ISBN |
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Edizione |
[1st ed. 2025.] |
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Descrizione fisica |
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1 online resource (0 pages) |
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Collana |
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Digital Innovations in Architecture, Engineering and Construction, , 2731-7277 |
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Altri autori (Persone) |
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Disciplina |
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Soggetti |
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Sustainable architecture |
Sustainability |
Climatology |
Sociology, Urban |
Urban economics |
Sustainable Architecture/Green Buildings |
Climate Sciences |
Urban Sociology |
Urban Economics |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di contenuto |
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The Introduction to Nature based Cities -- Key Performances of Nature based Solutions -- Nature based Solutions for Microclimate Regulation and Human Comfort -- Nature based Solutions for Stormwater Retention -- Performance Driven Design Approach a case study -- Design recommendations for Nature based Cities. |
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Sommario/riassunto |
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This book introduces a groundbreaking approach to urban design, addressing site-specific challenges arising from the impacts of climate change. It provides an overview of the most relevant climate change impacts and related adaptation strategies, aligning with sustainable development goals. Nature-based solutions (NBS) are some of the most significant adaptation strategies, yet the book addresses the lack of quantitative approaches for their design. A design approach and related methodology that can be used by designers with different levels of complexity is presented, discussing its applicability and limitations according to selected key performance indicators and related thresholds. Such methodology and the related tools are applied to case studies with a focus on the performance of NBS in improving thermal comfort (microclimate regulation) and reducing flooding risks (stormwater retention). A final workflow for a coupled performance-driven design approach is presented for readers, offering a pathway to define design strategies based on site-specific key performance indicators. The target audience includes practitioners, urban designers and planners, researchers, and anyone interested in urban environment design, nature-based solutions, and computational approaches to sustainable design. |
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