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ALGEBRA & RELATED TOPICS
UNIFIED FIELD THEORY AND OCCAM’S RAZOR
Simple Solutions to Deep Questions
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by Andràs Kovàcs (BroadBit Energy Technologies, Finland), Giorgio Vassallo (University of Palermo, Italy), Paul O’Hara (Sophia University Institute, Italy), Francesco Celani (INFN-LNF, Italy) & Antonino Oscar Di Tommaso (University of Palermo, Italy) This book attempts to provide real answers to foundational questions related to this unification and should be of high interest to innovative scientists. A diverse group of contributing authors approach an old problem with an open-mindedness that presents a new and fresh perspective. This highly original book brings together theoretical researchers and experimentalists specialized in the areas of mathematics and epistemology, theoretical and experimental physics, engineering, and technology. For years they have worked independently on topics related to the foundations and unity of physics and have had numerous overlapping ideas in terms of using Clifford Algebra and spinors. Within the book, new technology applications are outlined and theoretical results are complemented by interpretations of experimental data.
Featured Contents: Foundations: Electromagnetism, General Relativity, and Quantum
Mechanics: Maxwell’s Equations and Occam’s Razor; Electromagnetic and QM Waves Without Postulates; The Electron and Occam’s Razor; Experimental Validation and Practical Applications: Superconductivity; Comptonscale Electron-Proton Composite; Electron Mediated Nuclear Fusion; Nuclear Forces and Occam’s Razor; and others. Readership: Advanced undergraduate and graduate students, researchers and practitioners.
398pp Feb 2022 978-1-80061-129-0 US$128 £115
[ MATHEMATICS ]
ALGEBRA AND RELATED TOPICS
Study Guide BASIC ABSTRACT ALGEBRA
Exercises and Solutions
by Mohammed Hichem Mortad (University of Oran 1, Algeria)
This book is mainly intended for first-year University students who undertake a basic abstract algebra course, as well as instructors. It contains the basic notions of abstract algebra through solved exercises as well as a “True or False” section in each chapter. Each chapter also contains an essential background section, which makes the book easier to use.
Contents: Logic, sets et al.; Mappings; Binary Relations; Groups; Rings and Fields; Polynomials and Rational Fractions.
Readership: First and second year mathematics and computer science students interested in abstract algebra. Also good for instructors.
200pp Mar 2022 978-981-125-210-5 US$58 £45 978-981-125-249-5(pbk) US$38 £30
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Series on Advances in Mathematics for Applied Sciences
FRACTAL ANALYSIS
Basic Concepts and Applications
by Carlo Cattani (University of Tuscia, Italy), Anouar Ben Mabrouk (University of Monastir, Tunisia & University of Kairouan, Tunisia & University of Tabuk, Saudi Arabia) & Sabrine Arfaoui (University of Monastir, Tunisia & University of Tabuk, Saudi Arabia) The aim of this book is to provide a basic and selfcontained introduction to the ideas underpinning fractal analysis. The book illustrates some important applications issued from real data sets, real physical and natural phenomena as well as real applications in different fields, and consequently, presents to the readers the opportunity to implement fractal analysis in their specialties according to the step-by-step guide found in the book. Contents: Introduction; Basics of Measure Theory; Martingales with Discrete Time; Hausdorff Measure and Dimension; Capacity Dimension of Sets; Packing Measure and Dimension; Multifractal Analysis of Measures; Extensions to Multifractal Cases; Bibliography; Index. Readership: Young researchers at master’s level in sciences; researchers in PhD studies in pure and applied mathematical/physical sciences; and researchers at advanced levels are provided the necessary tools that allow them to understand and adapt fractal analysis to their needs such as supervision and development of research projects. Advanced undergraduate students will gain a clear idea on what fractal analysis is, that will guide them to decide their course on their future scientific research areas.
250pp Mar 2022 978-981-123-943-4 US$98 £85
Monographs in Number Theory
RECENT PROGRESS ON TOPICS OF RAMANUJAN SUMS AND COTANGENT SUMS ASSOCIATED WITH THE RIEMANN HYPOTHESIS
by Helmut Maier (University of Ulm, Germany), Michael Th Rassias (Hellenic Military Academy, Greece) & László Tóth (University of Pécs, Hungary) In this monograph, we study recent results on some categories of trigonometric/ exponential sums along with various of their applications in Mathematical Analysis and Analytic Number Theory. Through the two chapters of this monograph, we wish to highlight the applicability and breadth of techniques of trigonometric/exponential sums in various problems focusing on the interplay of Mathematical Analysis and Analytic Number Theory. We wish to stress the point that the goal is not only to prove the desired results, but also to present a plethora of intermediate Propositions and Corollaries investigating the behaviour of such sums, which can also be applied in completely different problems and settings than the ones treated within this monograph. Contents: Ramanujan Sums: A Survey of Recent Results; Cotangent Sums Related to the Estermann Zeta Function and to the Riemann Hypothesis. Readership: Scientists, researchers, and graduate students in Pure and Applied Mathematics.
