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Automata, Formal Languages, and Turing Machines
Turing Machines is about the theoretical foundations of computer science. It offers a bird's-eye view of all possible algorithms. This viewpoint is very rewarding but at the same time very abstract.This book strikes a balance between theory and applications, mathematical concepts and practical consequences for computer programs, and the usual dilemma of any textbook, that of going to greater depths or covering a wider range of topics. The gently sloping learning curve is especially suitable for self-study.
General Relativity
General Relativity provides an unusually broad survey of the current state of this field. Chapters on mathematical relativity cover many topics, including initial value problems, a new approach to the partial differential equations of physics, and work on exact solutions. The chapters on relativistic cosmology and black holes explore cosmology. Other chapters deal with gravitational waves, experimental relativity, quantum gravity, and aspects of computing in relativity. The book will be useful both to postgraduates and to established workers in the field.
Selection of an Effective Hand Sanitizer to Reduce COVID-19 Effects and Extension of TOPSIS Technique Based on Correlation Coefficient under Neutrosophic Hypersoft Set
Correlation coefficients are used to tackle many issues that include indistinct as well as blurred information excluding is not able to deal with the general fuzziness along with obscurity of the problems that have various information. The correlation coefficient (CC) between two variables plays an important role in statistics.
A Collection of Problems On: Calculus 1
I have been teaching calculus for 20 years. I have noticed that students find it impossible to solve all the problems in a big, standard textbook, and usually do not know where to begin. So I put together a set of typical problems, some with solutions, that will guide the students step by step, starting with the easiest ones. This book covers the first semester of the freshmen calculus most science and engineering students take. The theory is in the form of concise summary and reminders. The gist of the book is in the questions. The selection, solution, ordering with respect to difficulty has done with great care. Each solution is sufficiently explanatory, but at the same time, very concise. Just as the solutions a typical instructor expect at the exams.The solved exercises cover almost all types of questions you are likely to meet. Then, the end-of chapter exercises give you sufficient opportunity to develop your skill and test yourself.
An Alien Intelligence
This book is the attempt of a monotheist scientist to construct a reference frame for his beliefs and test it for coherence. Some of the questions that trouble a rational mind are:If there is a scientific explanation of a system, does that mean no intelligence could have designed it?If another scientific theory supplants evolution, will atheists change their minds?If my replica was recreated by some supreme intelligence after my death, would it be me?
Global Analysis and Applied Mathematics
These proceedings are divided into parts; global analysis and applications, and applied mathematics. Part one contains plenary lectures and other contributions devoted to current research in analysis on manifolds, differential equations, and mathematical physics. Part two conatins contributions on applications of differential and difference equations in different fields, and selected topics from theoretical physics.
