Elements of Statistics
This book is a crucial resource for students intimidated by statistical symbols and equations. It prepares you for statistics courses without anxiety and serves as an excellent desk reference for new researchers. Its hands-on style helps you easily achieve statistical literacy.
Semakov highlights some of the most important fundamental results related to crossings problems in the context of aviation. The result is a work that will appeal to engineers and scientists who are interested in the applications of random processes theory and its methods.
The Origin of Geometry in India
The ancient Śulbasūtras, composed from 600BCE, were rule-books for making and arranging bricks, and represent the first available texts of both geometry and mensuration. This publication uses them as a lens to view the origin of geometry in India and elsewhere.
This volume explores the reliability of time-dependent models using a variety of concepts and techniques. It is for research-level courses in statistics, applied mathematics, and operations research, and for researchers requiring knowledge of applied probability.
This is the first comprehensive book on algebraic topology. It provides a walk through its main tools, including homology groups and rational homotopy theory, and discusses real applications in fields like medicine and imagery. For students, professors, and researchers.
This historical account traces the discovery of a singular wave in 1834 to the development of modern soliton theory. It describes deep connections between soliton theory and nonlinear continuum mechanics, with wide applications for research scientists and advanced students.
Semirings are used in cryptography as their additive operation lacks an inverse, preventing cryptosystem breakage. This book describes such protocols and the hard math their security is based on, appealing to cryptographers and specialists in applied algebra.
Disruption Recovery in Air Traffic
This is the first book to treat the optimisation of air traffic disruption management from a common good perspective, addressing airlines, airports, ATC providers, and the public. It describes optimisation techniques of immense value to industry professionals and academics.
A mathematics researcher searches for technologies to ensure humanity’s survival, struggling to defend scientific truth against the powerful and wealthy. The book explores philosophical ideas from mathematical perspectives and their universal application in science.
Computational models must be adequate for real physical processes, yet the issue of adequacy is poorly understood. This is the first book to address constructing adequate mathematical descriptions, proposing two criteria and algorithms for specialists in mathematical modeling.
The beauty of game theory is its application to real world problems. This book commemorates the marriage of the theory and practice, not in heaven, but in the real world.
Real-time State of Energy (SOE) estimation is crucial for lithium-ion battery safety and predicting the driving range of electric vehicles. This book details an optimized algorithm combining a fuzzy controller and a Kalman filter for fast, accurate, and robust SOE estimation.
Multivariate Techniques
This book covers both theoretical and applied aspects of multivariate analyses. It provides an overview of key terminology and distributions before discussing methods of drawing inferences, multivariate analysis of variance, and multivariate regression.
Explore the revolutionary work of David Hilbert, a giant of 20th-century mathematics. This book examines his axiomatic method, his famous 23 Problems, his program for the foundations of mathematics, and his crucial contributions to relativity and quantum physics.
A major problem of contemporary physics is the incompatibility of its two greatest theories: quantum mechanics and general relativity. There is a lack of an over-arching framework to unite them. This book provides an accessible guideline to a possible framework.
This book covers the design and quality control of microwave devices using simulation and measurement. It describes methods for designing simulators of microwave amplifiers and oscillators, enabling accurate measurements and effective quality control that minimizes costs.
This book presents the theory and methods of solving vector optimization problems. It mathematically proves an optimal solution, solving the problem for the first time, with applied methods for researchers modeling economic and engineering systems.
Uncover the beauty of Einstein’s general relativity. This collection maps every possible trajectory of light and matter under gravity—even around a black hole—using elegant formulas and insightful graphs to visualize every conceivable orbit.
This book provides a self-contained and accessible introduction to dynamical systems and differential geometry via MAPLE. It is suitable for graduate and advanced students in mathematics, engineering, and physics for both self-study and teaching a semester-long course.
Rigid Body as a Constrained System
This book presents the dynamics of spinning bodies, the most confusing topic in Classical Mechanics. Starting from the variational problem, it treats the rigid body as a system of particles, creating a simple, transparent approach that eliminates the need for extra postulates.