Springer Asia Pacific Mathematics Series - Böcker
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11 produkter
11 produkter
Del 3 - Springer Asia Pacific Mathematics Series
Functional Analysis and Applications
Inbunden, Engelska, 2026
640 kr
Skickas inom 10-15 vardagar
The author set out to solve the classical and famous problems including Isoperimetric Problem, Brachistochrone Curve Problem, N-Body Problems, Geodesic Curve Problem, Minimal Surface Problem, Dirichlet Principle, Minimax Problems, Rabinowitz Minimal Period Conjecture, etc.
1 800 kr
Skickas inom 10-15 vardagar
For machine learning, both black-box and interpretable models are covered in this book, including neural network model, ensemble learning
Pattern Recognition and Machine Learning for Self-Study I
Supervised Learning
Inbunden, Engelska, 2026
809 kr
Kommande
mso-fareast-language: EN-US;">The following points make this book suitable for self-study by beginners.(1) The book is self-contained, so that the reader does not need to refer to other books or literature.
Del 8 - Springer Asia Pacific Mathematics Series
Liouville’s Theory in Linear and Nonlinear Partial Differential Equations
Inbunden, Engelska, 2025
1 791 kr
Skickas inom 7-10 vardagar
A variety of theorems named the Liouville property play fundamental roles in modern theory of mathematical analysis. Understanding each of them individually is not so difficult nowadays. What are they pointing toward in their totality, however? This monograph asserts that self-organization may be an answer, searching recent studies on linear and nonlinear partial differential equations. Critical breakthroughs have emerged in accordance with the widely spread classical ideas of J. Liouville in various forms, that is, the spectral, elliptic, surface, and transport theories, in turn. A fusion of them is seen in recently developing research fields—mathematical oncology, non-equilibrium statistical mechanics, dynamical theory, and shape optimization—which taken together may be called the potential for self-organization.
1 589 kr
Skickas inom 10-15 vardagar
Del 7 - Springer Asia Pacific Mathematics Series
Moving Frames for the Numerical Solution of Partial Differential Equations in Complex Domains
Computation Using Orthonormal Basis Vectors
Inbunden, Engelska, 2025
1 589 kr
Skickas inom 10-15 vardagar
640 kr
Skickas inom 10-15 vardagar
Numerical Solutions to Partial Differential Equations with Finite Difference Methods
Inbunden, Engelska, 2026
721 kr
Kommande
1 434 kr
Kommande
2 712 kr
Kommande
This monograph presents a comprehensive exploration of model order reduction techniques rooted in orthogonal polynomials, addressing diverse dynamical systems such as linear, coupled, bilinear, time-delay, and nonlinear systems. By integrating general and specific polynomials—such as Laguerre and Chebyshev—as well as discrete orthogonal polynomials, the monograph introduces unified frameworks and innovative approaches, including structure-preserving reduction and hybrid methods. Organized thematically, the monograph combines theory with practical algorithms, emphasizing efficiency and accuracy. It features dedicated chapters on continuous-time and discrete-time systems, step-by-step derivations, and computational case studies. Readers will gain cutting-edge tools to simplify complex systems, accelerate simulations, and enhance design processes in engineering and applied mathematics.
Del 2 - Springer Asia Pacific Mathematics Series
Geometric Aspects of General Topology
Inbunden, Engelska, 2026
2 106 kr
Skickas inom 7-10 vardagar
This book is designed for graduate students to acquire knowledge of simplicial complexes, Dimension Theory, ANR Theory (Theory of Retracts), and related topics. These theories are connected with various fields in Geometric Topology, Algebraic Topology as well as General Topology. Except for the second half of the last chapter, this book is entirely self-contained. To make the ideas of proofs easier to understand, many proofs are illustrated with figures or diagrams. While exercises are not explicitly included, some results are provided with only sketches of proofs. Completing the proofs in detail is a good exercise for the reader. Researchers will also find this book very helpful, as it contains many important results not presented in usual textbooks, such as dim X × I = dim X + 1 for a metrizable space X; the difference between small and large inductive dimensions; a hereditarily infinite-dimensional space; the ANR property of locally contractible countable-dimensional metrizable spaces; an infinite-dimensional space with finite cohomological dimension; a dimension-raising cell-like map; and a non-AR metric linear space. The last three subjects are linked to each other, demonstrating how deeply related the two theories are. Simplicial complexes are very useful in various fields of Topology and are indispensable for studying theories of dimension and ANR. Many textbooks deal with simplicial complexes, but none discuss in detail what is non-locally finite. For example, J.H.C. Whitehead's theorem on small subdivisions is very important, but its proof cannot be found in any other book. The homotopy type of simplicial complexes is discussed in textbooks on Algebraic Topology using CW complexes, but geometrical arguments using simplicial complexes are relatively easy. Many contents have been added to this edition to make it more comprehensive.