Springer Asia Pacific Mathematics Series – serie
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12 produkter
12 produkter
2 261 kr
Kommande
This book presents a detailed study of the generalized Heisenberg group, a 2‑step nilpotent Lie group that plays an important role in the theory of smooth compactifications of the Siegel modular variety, number theory, and mathematical physics. The text explicates its connections with theta functions, the Weil representation, and the Schrödinger–Weil representation, emphasizing their structural and conceptual relationships.Heisenberg groups, theta functions, and the Schrödinger–Weil representation occupy central positions in modern mathematics and mathematical physics. By providing explicit descriptions and clear explanations, this book aims to serve as a valuable resource for researchers working in these areas. The material is intended for both mathematicians and physicists interested in the interplay between representation theory, automorphic forms, and physical models.
Del 3 - Springer Asia Pacific Mathematics Series
Functional Analysis and Applications
Inbunden, Engelska, 2026
646 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.
1 817 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
- Nyhet
Pattern Recognition and Machine Learning for Self-Study I
Supervised Learning
Inbunden, Engelska, 2026
775 kr
Skickas inom 10-15 vardagar
This book explains the basic principles of pattern recognition (PR) and machine learning (ML) in an easy-to-understand manner for beginners who are trying to learn these principles on their own. Readers with a basic knowledge of linear algebra and probability theory will find it easy to follow.Many excellent books in this field have been published in the past. However, these books are not necessarily intended for self-study by beginners.This book limits the topics to the minimum essential themes that beginners should learn, and explains them in detail. This book focuses on supervised learning, first introducing classical but important methods that have contributed to the development of the field. It then explains various methods that have since attracted attention. In explaining these methods, the book also provides a historical account of how new technologies were created as a result of combining classical ideas. The book emphasizes that Bayes decision rule is a fundamental concept in PR and ML.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. (2) To deepen the reader's understanding, exercises are provided at the end of each chapter with detailed solutions available online.(3) To promote the reader's intuitive understanding, the book presents as many concrete examples as possible.(4) ‘Coffee Break’ columns introduce knowledge and know-how from the author's experience. Unsupervised learning will be discussed in a sequel.
Del 8 - Springer Asia Pacific Mathematics Series
Liouville’s Theory in Linear and Nonlinear Partial Differential Equations
Inbunden, Engelska, 2025
1 808 kr
Skickas inom 5-8 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.
Del 5 - Springer Asia Pacific Mathematics Series
Spectral Analysis of Infinite-Dimensional Hamiltonian Operators
Inbunden, Engelska, 2026
1 604 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
1 604 kr
Skickas inom 10-15 vardagar
- Nyhet
Del 10 - Springer Asia Pacific Mathematics Series
First Lectures in Algebra
Why do Normal Subgroups and Ideals Matter?
Inbunden, Engelska, 2026
646 kr
Skickas inom 10-15 vardagar
- Nyhet
Numerical Solutions to Partial Differential Equations with Finite Difference Methods
Inbunden, Engelska, 2026
710 kr
Skickas inom 10-15 vardagar
This book presents finite difference methods for three types of classical linear PDEs, three types of nonlinear PDEs and fractional PDEs. Specific topics cover two-point boundary value problems, elliptic equations, parabolic equations, hyperbolic equations, high-dimensional evolution equations, Schr\''{o}dinger equations, the Burgers' equation, the Korteweg-de Vries equation, and fractional diffusion-wave equations.The book strives to achieve:(a) Featured content. Thorough and dedicated presentations are provided for the finite difference methods. (b) Scattered difficulty. Starting from a simple two-point boundary value problem for an ODE, authors introduce core concepts and analytical techniques of the finite difference methods, then apply them to handle with various partial differential equations.(c) Emphasis on practicability. For each algorithm, provided numerical examples enable students to learn how to apply it and verify theoretical results with numerical outcomes.The book is suitable for advanced undergraduate and beginning graduate students in applied mathematics and engineering.
- Nyhet
Del 14 - Springer Asia Pacific Mathematics Series
Topological Dynamics from a Measure-Theoretic Viewpoint
Inbunden, Engelska, 2026
1 384 kr
Skickas inom 5-8 vardagar
This book introduces a new measurable perspective on dynamical systems by connecting concepts from topological dynamics with their measure-theoretic counterparts. A central theme is the translation of topological notions into measurable ones. For example, minimality in topological dynamics suggests a measurable analogue in ergodicity, where every invariant measurable set has either zero or full measure, offering an intuitive parallel between the two settings. Likewise, the notion of expansiveness is reinterpreted through expansive measures, in which almost all orbits separate beyond a fixed radius. These measurable analogues extend naturally to homeomorphisms and flows on compact metric spaces, which are explored in depth in Chapters 3 and 7.Building on this framework, the book develops measurable versions of several structural results from topological dynamics. Walters’ stability theorem-grounded in shadowing, expansiveness, and topological stability-is revisited in Chapters 4 and 8 from a measurable perspective, while Smale’s spectral decomposition theorem is reformulated in measurable terms in Chapters 5 and 9. By bridging topological and measurable viewpoints, the book offers a cohesive approach that provides new insights and directions for the study of dynamical systems.
1 942 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
2 136 kr
Skickas inom 10-15 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.