Format: Hardback, 400 pages, height x width: 235x155 mm, 44 Illustrations, color;
41 Illustrations, black and white; X, 400 p. 85 illus., 44 illus. in color
Series: Springer Proceedings in Mathematics & Statistics 444
Pub. Date: 07-Apr-2024
ISBN-13: 9783031510489
This book presents contributions related to new research results presented at the 27th International Conference on Difference Equations and Applications, ICDEA 2022, that was held at CentraleSupelec, Universite Paris-Saclay, France, under the auspices of the International Society of Difference Equations (ISDE), July 1822, 2022. The book aims not only to disseminate these results but to foster further advances in the fields of difference equations and discrete dynamical systems. Also included are applications to economic growth modeling, population dynamics, epidemic modeling, game theory, control systems, and network analysis. The target audience for the book includes Ph.D. students, researchers, educators, and practitioners in these fields.
Format: Hardback, 632 pages, height x width: 254x178 mm, 352 Illustrations, color;
553 Illustrations, black and white; XIX, 632 p. 905 illus., 352 illus. in color.
Pub. Date: 16-Mar-2024
ISBN-13: 9789819986071
This book is written in a style that uncovers the mathematical theories hidden in our daily lives, using examples of patterns that appear in nature, arts, traditional crafts, as well as mathematical mechanics in architectural techniques. The authors believe that through conversations between students and mathematicians, readers may learn about the methods used by the originators of these theoriestheir trials, errors, and triumphsin reaching their various conclusions. The goal is to help readers refine their mathematical sense in terms of formulating valuable questions and pursuing them. In addition, the book aims to provide enjoyment in the application of mathematical principles to beautiful art and design by using examples that highlight the wonders and mysteries of these works found in our daily lives. To achieve these goals, the book tackles the latest exquisite results on polygons and polyhedra and the dynamic history of geometric research found around us. The term "intuitive geometry" was coined by L?szlo Fejes Toth and refers to the kind of geometry which, in Hilbert's words, can be explained to and appeal to the "man on the street." This book enables readers to enjoy intuitive geometry informally and instinctively. It does not require more than a high school level of knowledge but calls for a sense of wonder, intuition, and mathematical maturity. In this second edition, many new results, and elegant proofs on a variety of topics have been added, enhancing the books rich content even further.
1 Art From Tiling Patterns.- 2 The Tile-Maker Theorem and Its Applications to Art and Designs.- 3 Treks into Intuitive Geometry.- 4 Patchwork.- 5 Reversible Pairs of Figures.- 6 Reversibility and Foldability of Conway Tiles.- 7 Platonic Solids.- 8 Cross-Sections of Polyhedra.- 9 Symmetry of Platonic Solids.- 10 Double Duty Solids.- 11 Nets of Small Solids with Minimum Perimeter Lengths.- 12 Tessellation Polyhedra.- 13 Universal Measuring Boxes.- 14 Wrapping a Box.- 15 Bees, Pomegranates and Parallelohedra.- 16 Reversible Polyhedra.- 17 Elements of Polygons and Polyhedra.- 18 The Pentadron.
Format: Hardback, 650 pages, height x width: 235x155 mm, 74 Illustrations, color; XX, 650 p. 74 illus. in color.
Series: Texts in Applied Mathematics 34
Pub. Date: 14-Apr-2024
ISBN-13: 9783031516511
Based on a one-year course taught by the author to graduates at the University of Missouri, this book provides a student-friendly account of some of the standard topics encountered in an introductory course of ordinary differential equations. In a second semester, these ideas can be expanded by introducing more advanced concepts and applications. A central theme in the book is the use of Implicit Function Theorem, while the latter sections of the book introduce the basic ideas of perturbation theory as applications of this Theorem. The book also contains material differing from standard treatments, for example, the Fiber Contraction Principle is used to prove the smoothness of functions that are obtained as fixed points of contractions. The ideas introduced in this section can be extended to infinite dimensions.
o Ordinary Differential Equations.- Linear Systems and Stability of
Nonlinear Systems.- Applications.- Hyperbolic Theory.- Continuation of
Periodic Solutions.- Homoclinic Orbits, Melnikovs Method, and Chaos.-
Averaging.- Local Bifurcation.
Format: Hardback, 427 pages, height x width: 235x155 mm, 2 Illustrations,
color; 14 Illustrations, black and white; X, 427 p. 16 illus., 2 illus. in color
Series: Trends in Mathematics
Pub. Date: 27-May-2024
ISBN-13: 9783031519581
This contributed volume presents recent advances as well as new directions in number theory and its applications. Algebraic and analytic number theory are the main focus with chapters showing how these areas are rapidly evolving. By gathering authors from over seven countries, readers will gain an international perspective on the current state of research as well as potential avenues to explore. Specific topics covered include:
Algebraic Number Theory Elliptic curves and Cryptography Hopf Galois theory Analytic and elementary number theory and applications
New Frontiers in Number Theory and Applications will appeal to researchers interested in gaining a global view of current research in number theory.
Chapter. 1. Survey Number Theoretic Transform Algorithm over a
polynomial ring and its applicationChapter. 2. On the Hilbert 2-class field
towers of the layers of some cyclotomic Z2- extensionsChapter. 3. Some
remarks on the coefficients of cyclotomic polynomialsChapter. 4. Partitions
enumerated by self-similar sequencesChapter. 5. On the exact divisibility by
5 of the class number of some pure metacyclic fieldsChapter. 6. On monogenity
of certain number fields defined by a trinomial xpr + ax + bChapter.
7. Irreducible Factors of a Polynomial and Extensions of ValuationsChapter.
8. Lengths and Class NumbersChapter. 9. On Extended korder Fibonacci and
Lucas Numbers via DGC NumbersChapter. 10. Generalizations of Stirling-like
and Bell-like numbersChapter. 11. The complex multiplication method for genus
3 curvesChapter. 12. An optimal Chevalley-Warning theorem over the field of
two elementsChapter. 13. New perspectives of the power-commutator structure:
coclass trees of CF-groups and related BCF-groupsChapter. 14. The
Euler-Riemann zeta function with even arguments in terms of binomial
coefficientsChapter. 15. Some properties of a type of entropy of an ideal and
the divergence of two idealsChapter. 16. A simple and self-contained proof
for the Lindemann-WeierstrasstheoremChapter. 17. On the 2-class number of
some real cyclic quartic number fields IIChapter. 18. On the p -isogenies of
elliptic curves with multiplicative reduction over quadratic fieldsChapter.
19. The Hopf-Galois structures of the 3 and 6-division points of
the lemniscate curve
Format: Hardback, 366 pages, height x width: 235x155 mm, 21 Tables, color; 21 Illustrations, color;
3 Illustrations, black and white; VII, 366 p. 24 illus., 21 illus. in color.,
Series: Trends in Mathematics
Pub. Date: 10-Apr-2024
ISBN-13: 9783031526800
The NLAGA's Biennial International Research Symposium (NLAGA-BIRS) is intended to gather African expertises in Nonlinear Analysis, Geometry and their Applications with their international partners in a four days conference where new mathematical results are presented and discussed. This book features the best papers presented during this Biennial. The different topics addressed are related to Partial Differential Equations, Differential inclusions, Geometrical Analysis of Optimal Shapes, Complex Analysis, Geometric Structures, Algebraic Geometry, Algebraic, Optimization, Optimal Control and Mathematical modeling. The main focus of the NLAGA project is to deepen and consolidate the development in West and Center Africa of Nonlinear Analysis, Geometry and their Applications, aimed at solving in particular real-world problems such as coastal erosion, urban network, pollution problems, and population dynamics.
Existence in -norm of pseudo almost automorphic mild solutions for
mean field stochastic evolution equations.- Generation and Structural
characterization for randomly dispersed nonoverlapping spheres by
Lennard-Jones potential based on Molecular Dynamics Simulations and the
two-point correlation functions.- Nonparametric prediction and supervised
classification for spatial dependent functional data under fixed sampling
design.- Anti-pandemic optimal control strategies and applications.- A new
fixed point theorem for system of inclusion problems in Banach spaces.- A
Mann Type Iterative Algorithm for Bounded and Strongly Monotone Mappings in
Certain Banach Spaces.- A New Krasnoselskiis Type Iterative Method for
Hammerstein Equations with Monotone Mappings in Certain Banach Spaces.-
Hamilton-Jacobi Equations and Mathematical Morphology in Pseudo-Riemannian
Manifolds.- On a Nonlinear Dirichlet Eigenvalue Problem.- On the Eigenvalue
Problem for Complex Hessian Operators.- Complex structure on
Pseudo-Riemannian Poisson Manifolds.- Criterion for the existence of
-Einstein contact metric structures.- Metrics Induced by R6+K on the Graph
of K-Smooth Functions and the Hopf Conjecture.- Some results on warped
product -Ricci-Bourguignon solitons.- On dual quaternions, dual split
quaternions and Cartan-Schouten metrics on cotangent bundles of simple Lie
groups.- Parametrization of algebraic points of low degree on the
hyperelliptic curves of the affine equations y2 = x(x2 n2)(x2 4n2).-
Quartic points on C2(7).- Algebraic points of any degree on the affine curve
y2 = 3x(x4 + 3).- Algebraic Points of Given Degree on the Affine Curve C : y2
+ y = x5 .-Algebraic points of any given degree on the affine equation curve
: y2 =x5+6912. - The Rozenberg-Zelinsky sequence for the cate- gory of the
dyslectic Hopf Yetter-Drinfeld (S, H )- module algebras.
Format: Hardback, 603 pages, height x width: 235x155 mm, 39 Tables, color; 73 Illustrations,
color; 76 Illustrations, black and white; XXVIII, 603 p. 149 illus., 73 illus. in color.,
Series: University Texts in the Mathematical Sciences
Pub. Date: 04-Apr-2024
ISBN-13: 9789819993628
This revised book provides an accessible presentation of concepts from probability theory, statistical methods, the design of experiments, and statistical quality control. It is shaped by the experience of the two teachers teaching statistical methods and concepts to engineering students. Practical examples and end-of-chapter exercises are the highlights of the text, as they are purposely selected from different fields. Statistical principles discussed in the book have a great relevance in several disciplines like economics, commerce, engineering, medicine, health care, agriculture, biochemistry, and textiles to mention a few.
Organised into 16 chapters, the revised book discusses four major topics?probability theory, statistical methods, the design of experiments, and statistical quality control. A large number of students with varied disciplinary backgrounds need a course in basics of statistics, the design of experiments and statistical quality control at an introductory level to pursue their discipline of interest. No previous knowledge of probability or statistics is assumed, but an understanding of calculus is a prerequisite. The whole book also serves as a master level introductory course in all the three topics, as required in textile engineering or industrial engineering.
Chapter 1. Introduction.
Chapter 2. Basic Concepts of Probability.-
Chapter 3. Random Variable and Distribution Function.
Chapter 4. Standard Deviation.
Chapter 5. Multiple Random Variable and Joint Distribution.-
Chapter 6. Limiting Distributions.- Chapter 7. Descriptive Statistics.- Chapter 8. Sampling Distributions.
Chapter 9. Estimation.-
Chapter 10. Testing of Hypothesis.-
Chapter 11. Analysis of Correlation and Regression.-
Chapter 12. Single Factor Experimental Design.-
Chapter 13. Multi-Factor Experimental Designs.-
Chapter 14. Response Surface Methodology.-
Chapter 15. Acceptance Sampling.
Chapter 16. Control Charts.
Appendix A. Statistical Tables.-
Appendix B. Introduction to the R Software Program.
Format: Hardback, 126 pages, height x width: 235x155 mm, 11 Tables, color; X, 126 p.
Pub. Date: 20-Apr-2024
ISBN-13: 9783031526916
In this captivating historical novel, Daniele Struppa skillfully weaves a fictional autobiography, bringing Fibonacci to life with vivid details of his upbringing and adult years in Medieval Europe. As we explore the historical context of Fibonacci's time, we delve into the intriguing aspects of a bygone era, painting a compelling picture of a man whose contributions to mathematics continue to resonate today.
From his groundbreaking work on congruent numbers to the famous numerical sequence that bears his name, the author invites readers to imagine the creative sparks that ignited Fibonacci's mathematical innovations. When historical evidence is elusive, accuracy and passion are seamlessly combined, offering plausible scenarios grounded in documented facts. A meticulously crafted apparatus of notes distinguishes fact from fiction, providing readers with a clear guide to navigate this enthralling reconstruction of Fibonacci's life.
Step into the medieval world of Leonardo Fibonacci, one of the most celebrated mathematicians in history, and discover the man behind the mathematical genius. Mathematicians and curious readers alike will appreciate the allure of Fibonacci's mathematical brilliance.
Introduction.- The Early Days in Pisa.- The Navigation to
Bugia.- Bugia and the Encounter with Arab Mathematics.- The Liber Abaci.- At
the Court of Stupor Mundi.- The Later Years.