-20%
Fractal Dimension for Fractal Structures: With Applications to Finance
Original price was: ₹10,724.00.₹8,580.00Current price is: ₹8,580.00.
This book provides a generalised approach to fractal dimension theory from the standpoint of asymmetric topology by employing the concept of a fractal structure. The fractal dimension is the main invariant of a fractal set, and provides useful information regarding the irregularities it presents when examined at a suitable level of detail. New theoretical models for calculating the fractal dimension of any subset with respect to a fractal structure are posed to generalise both the Hausdorff and box-counting dimensions. Some specific results for self-similar sets are also proved. Unlike classical fractal dimensions, these new models can be used with empirical applications of fractal dimension including non-Euclidean contexts.
In addition, the book applies these fractal dimensions to explore long-memory in financial markets. In particular, novel results linking both fractal dimension and the Hurst exponent are provided. As such, the book provides a number of algorithmsfor properly calculating the self-similarity exponent of a wide range of processes, including (fractional) Brownian motion and Lévy stable processes. The algorithms also make it possible to analyse long-memory in real stocks and international indexes.
This book is addressed to those researchers interested in fractal geometry, self-similarity patterns, and computational applications involving fractal dimension and Hurst exponent.
-20%
Fractal Dimension for Fractal Structures: With Applications to Finance
Original price was: ₹10,724.00.₹8,580.00Current price is: ₹8,580.00.
This book provides a generalised approach to fractal dimension theory from the standpoint of asymmetric topology by employing the concept of a fractal structure. The fractal dimension is the main invariant of a fractal set, and provides useful information regarding the irregularities it presents when examined at a suitable level of detail. New theoretical models for calculating the fractal dimension of any subset with respect to a fractal structure are posed to generalise both the Hausdorff and box-counting dimensions. Some specific results for self-similar sets are also proved. Unlike classical fractal dimensions, these new models can be used with empirical applications of fractal dimension including non-Euclidean contexts.
In addition, the book applies these fractal dimensions to explore long-memory in financial markets. In particular, novel results linking both fractal dimension and the Hurst exponent are provided. As such, the book provides a number of algorithmsfor properly calculating the self-similarity exponent of a wide range of processes, including (fractional) Brownian motion and Lévy stable processes. The algorithms also make it possible to analyse long-memory in real stocks and international indexes.
This book is addressed to those researchers interested in fractal geometry, self-similarity patterns, and computational applications involving fractal dimension and Hurst exponent.
-20%
Fractal Zeta Functions and Fractal Drums
Original price was: ₹14,894.00.₹11,916.00Current price is: ₹11,916.00.
This monograph gives a state-of-the-art and accessible treatment of a new general higher-dimensional theory of complex dimensions, valid for arbitrary bounded subsets of Euclidean spaces, as well as for their natural generalization, relative fractal drums.
-20%
Fractal Zeta Functions and Fractal Drums
Original price was: ₹14,894.00.₹11,916.00Current price is: ₹11,916.00.
This monograph gives a state-of-the-art and accessible treatment of a new general higher-dimensional theory of complex dimensions, valid for arbitrary bounded subsets of Euclidean spaces, as well as for their natural generalization, relative fractal drums.
-20%
From Classical to Modern Analysis
Price range: ₹4,410.00 through ₹5,661.00
This innovative textbook bridges the gap between undergraduate analysis and graduate measure theory by guiding students from the classical foundations of analysis to more modern topics like metric spaces and Lebesgue integration. Designed for a two-semester introduction to real analysis, the text gives special attention to metric spaces and topology to familiarize students with the level of abstraction and mathematical rigor needed for graduate study in real analysis.
-20%
From Classical to Modern Analysis
Price range: ₹4,410.00 through ₹5,661.00
This innovative textbook bridges the gap between undergraduate analysis and graduate measure theory by guiding students from the classical foundations of analysis to more modern topics like metric spaces and Lebesgue integration. Designed for a two-semester introduction to real analysis, the text gives special attention to metric spaces and topology to familiarize students with the level of abstraction and mathematical rigor needed for graduate study in real analysis.
-20%
From Real to Complex Analysis
Original price was: ₹3,948.00.₹3,159.00Current price is: ₹3,159.00.
Provides a self-contained course in real and complex analysis that links analysis and topology Approaches complex analysis through real analysis, with an overarching theme being the search for a primitive Emphasises various forms of homotopy, together with the winding number and its properties Includes supplementary material: sn.pub/extras
-20%
From Real to Complex Analysis
Original price was: ₹3,948.00.₹3,159.00Current price is: ₹3,159.00.
Provides a self-contained course in real and complex analysis that links analysis and topology Approaches complex analysis through real analysis, with an overarching theme being the search for a primitive Emphasises various forms of homotopy, together with the winding number and its properties Includes supplementary material: sn.pub/extras
-20%
Fundamentals of Functional Analysis
Original price was: ₹8,118.00.₹6,495.00Current price is: ₹6,495.00.
This book provides a unique path for graduate or advanced undergraduate students to begin studying the rich subject of functional analysis with fewer prerequisites than is normally required.
-20%
Fundamentals of Functional Analysis
Original price was: ₹8,118.00.₹6,495.00Current price is: ₹6,495.00.
This book provides a unique path for graduate or advanced undergraduate students to begin studying the rich subject of functional analysis with fewer prerequisites than is normally required.
-21%
Generalized Multiresolution Analyses
Original price was: ₹4,679.00.₹3,743.00Current price is: ₹3,743.00.
This monograph presents the first unified exposition of generalized multiresolution analyses. Expanding on the authorÂ’s pioneering work in the field, these lecture notes provide the tools and framework for using GMRAs to extend results from classical wavelet analysis to a more general setting.
-21%
Generalized Multiresolution Analyses
Original price was: ₹4,679.00.₹3,743.00Current price is: ₹3,743.00.
This monograph presents the first unified exposition of generalized multiresolution analyses. Expanding on the authorÂ’s pioneering work in the field, these lecture notes provide the tools and framework for using GMRAs to extend results from classical wavelet analysis to a more general setting.
-20%
Geometry and Analysis of Metric Spaces via Weighted Partitions
Original price was: ₹5,511.00.₹4,410.00Current price is: ₹4,410.00.
Describes how a compact metric space may be associated with an infinite graph whose boundary is the original space Explores an approach to metrics and measures from an integrated point of view Shows a relation between geometry (Ahlfors regular conformal dimension) and analysis (critical index of p-energies)
-20%
Geometry and Analysis of Metric Spaces via Weighted Partitions
Original price was: ₹5,511.00.₹4,410.00Current price is: ₹4,410.00.
Describes how a compact metric space may be associated with an infinite graph whose boundary is the original space Explores an approach to metrics and measures from an integrated point of view Shows a relation between geometry (Ahlfors regular conformal dimension) and analysis (critical index of p-energies)
-20%
Hardy Spaces on Ahlfors-Regular Quasi Metric Spaces
Original price was: ₹7,075.00.₹5,661.00Current price is: ₹5,661.00.
Problems of the sort considered in the present monograph profoundly affect the nature of the results in many other adjacent areas of mathematics. Includes supplementary material: sn.pub/extras
-20%
Hardy Spaces on Ahlfors-Regular Quasi Metric Spaces
Original price was: ₹7,075.00.₹5,661.00Current price is: ₹5,661.00.
Problems of the sort considered in the present monograph profoundly affect the nature of the results in many other adjacent areas of mathematics. Includes supplementary material: sn.pub/extras
-20%
Hardy Type Inequalities on Time Scales
Original price was: ₹11,767.00.₹9,414.00Current price is: ₹9,414.00.
The book is devoted to dynamic inequalities of Hardy type and extensions and generalizations via convexity on a time scale T.
-20%
Hardy Type Inequalities on Time Scales
Original price was: ₹11,767.00.₹9,414.00Current price is: ₹9,414.00.
The book is devoted to dynamic inequalities of Hardy type and extensions and generalizations via convexity on a time scale T.