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MATHEMATICAL COMBINATORICS (INTERNATIONAL BOOK SERIES), Vol.4, 2016
In this issue, there are 18 published papers: Paper 1: Smarandache Curves Paper 2: Pseudo Neighbourly Irregular Intuitionistic Fuzzy Graphs Paper 3: Knot polynomials, Alexander polynomial Paper 4: Smarandache Curves Paper 5: Dually Flat Special Finsler Metrics Paper 6: Lft-commutative algebras Paper 7: Finsler space with (α, β)-metric Paper 8: Nonsplit Roman Domination Paper 9: Cayley Graphs of Non-Abelian Groups Paper 10: Fuzzy Semirings Paper 11: Wiener Indices Paper 12: Projective dimension, Betti number Paper 13: k-Metric Dimension of a Graph Paper 14: Radial Signed Graphs Paper 15: Geodesic Irredundant Sets Paper 16: Directed Pathos Block Line Cut-Vertex Digraph Paper 17: Spherical chain Paper 18: Neighborhood prime labeling
Linear Transformation
This book introduces linear transformation and its key results, which have applications in engineering, physics, and various branches of mathematics. Linear transformation is a difficult subject for students. This concise text provides an in-depth overview of linear trans-formation. It provides multiple-choice questions, covers enough examples for the reader to gain a clear understanding, and includes exact methods with specific shortcuts to reach solutions for particular problems. Research scholars and students working in the fields of engineering, physics, and different branches of mathematics need to learn the concepts of linear transformation to solve their problems. This book will serve their need instead of having to use the more complex texts that contain more concepts then needed. The chapters mainly discuss the definition of linear transformation, properties of linear transformation, linear operators, composition of two or more linear transformations, kernels and range of linear transformation, inverse transformation, one-to-one and onto transformation, isomorphism, matrix linear transformation, and similarity of two matrices.
Partial Differential Equations
Differential equations play a noticeable role in engineering, physics, economics, and other disciplines. They permit us to model changing forms in both mathematical and physical problems. These equations are precisely used when a deterministic relation containing some continuously varying quantities and their rates of change in space and/or time is recognized or postulated. This book is intended to provide a straightforward introduction to the concept of partial differential equations. It provides a diversity of numerical examples framed to nurture the intellectual level of scholars. It includes enough examples to provide students with a clear concept and also offers short questions for comprehension. Construction of real-life problems is considered in the last chapter along with applications. Research scholars and students working in the fields of engineering, physics, and different branches of mathematics need to learn the concepts of partial differential equations to solve their problems. This book will serve their needs instead of having to use more complex books that contain more concepts than needed.
Matrix and Determinant
This book provides a clear understanding regarding the fundamentals of matrix and determinant from introduction to its real-life applications. The topic is considered one of the most important mathematical tools used in mathematical modelling. Matrix and Determinant: Fundamentals and Applications is a small self-explanatory and well synchronized book that provides an introduction to the basics along with well explained applications. The theories in the book are covered along with their definitions, notations, and examples. Illustrative examples are listed at the end of each covered topic along with unsolved comprehension questions, and real-life applications. This book provides a concise understanding of matrix and determinate which will be useful to students as well as researchers.
Recent Advancements in Graph Theory
Graph Theory is a branch of discrete mathematics. It has many applications to many different areas of Science and Engineering. This book provides the most up-to-date research findings and applications in Graph Theory. This book focuses on the latest research in Graph Theory. It provides recent findings that are occurring in the field, offers insights on an international and transnational levels, identifies the gaps in the results, and includes forthcoming international studies and research, along with its applications in Networking, Computer Science, Chemistry, and Biological Sciences, etc. The book is written with researchers and post graduate students in mind.
Nonlinear Dynamics and Entropy of Complex Systems with Hidden and Self-excited Attractors
In recent years, entropy has been used as a measure of the degree of chaos in dynamical systems. Thus, it is important to study entropy in nonlinear systems. Moreover, there has been increasing interest in the last few years regarding the novel classification of nonlinear dynamical systems including two kinds of attractors: self-excited attractors and hidden attractors. The localization of self-excited attractors by applying a standard computational procedure is straightforward. In systems with hidden attractors, however, a specific computational procedure must be developed, since equilibrium points do not help in the localization of hidden attractors. Some examples of this kind of system ar...
Mathematics Research for the Beginning Student, Volume 1
Mathematics research opportunities for undergraduate students have grown significantly in recent years, but accessible research topics for first- and second-year students with minimal experience beyond high school mathematics are still hard to find. To address this need, this volume provides beginning students with specific research projects and the tools required to tackle them. Most of these projects are accessible to students who have not yet taken Calculus, but students who know some Calculus will find plenty to do here as well. Chapters are self-contained, presenting projects students can pursue, along with essential background material and suggestions for further reading. Suggested pre...
Chickpea (Gram) Status and Cultivation Technology
The book “Chickpea (gram): status and cultivation technology” covers 13 chapters including introduction (common names; anti nutritional factors; origin; global scenario), constraints and strategies in chickpea cultivation, chickpea breeding (breeding objectives; importance of seed; varieties; donors etc.), physiology of drought tolerance in chickpea (effects of drought; physiology of drought tolerance; potential and limitations of using physiological base for development of drought tolerance etc.), production technology in chickpea, integrated nutrient management in chickpea (concept; goals; principles; objectives; need; components; of INM and constraints), use of bio-fertilizers in chic...
The Mughals and the North-East
There is a perception that the region of north-east India maintained its ‘splendid isolation’ and remained outside the reach of the Mughals and did not have a pre-colonial past. The present book is an attempt to decenter and demolish the said perceptions and asserts that north-east India had a ‘medieval’ past through linkage with the dominant central power in India – the Mughals. The eastern frontier of this Mughal Empire was constituted by a number of states like Bengal, Koch Bihar, Assam, Manipur, Dimasa, Jaintia, Cachar, Tripura, Khasi confederation, Chittagong, Lushai and the Nagas. Of these, some areas like Bengal were an integral part of the Mughal Empire, while others like K...
