This book provides a comprehensive knowledge of linear algebra for graduate and undergraduate courses. As a self-contained text, it aims at covering all important areas of the subject, including algebraic structures, matrices and systems of linear equations, vector spaces, linear transformations, dual and inner product spaces, canonical, bilinear, quadratic, sesquilinear, Hermitian forms of operators and tensor products of vector spaces with their algebras. The last three chapters focus on empowering readers to pursue interdisciplinary applications of linear algebra in numerical methods, analytical geometry and in solving linear system of differential equations. A rich collection of examples and exercises are present at the end of each section to enhance the conceptual understanding of readers. Basic knowledge of various notions, such as sets, relations, mappings, etc., has been pre-assumed.

Provides a stimulating introduction to the structures and functions of ion channels of membranes of biological cells and discusses the biophysics of ion channels in condensed matter state and physiological condition Addresses natural processes and nanotechnology opportunities for their purposeful manipulation Lays the groundwork for vitally important medical advances

This textbook will provide an introduction to the fundamental and applied aspects of biophysics for advanced undergraduate and graduate students of physics, chemistry, and biology. The application of physics principles and techniques in exploring biological systems has long been a tradition in scientific research. Biological systems hold naturally inbuilt physical principles and processes which are popularly explored. Systematic discoveries have been made helping to understand the structures and functions of individual biomolecules, biomolecular systems, cells, organelles, tissues, and even the whole physiological systems of the animal and plant kingdoms. The trend in utilizing the physics-based scientific understanding of biological systems in exploring disease states and finding relevant cures through discovering drugs is considered to be at the forefront of applied scientific and socioeconomic interests. This book will cover most of the relevant breakthroughs biophysics has been making since its inception. A futuristic guideline will be provided. A lot of models based on both classical and quantum mechanical treatments of biological systems and future scientific research outlooks will be presented. Diseases related to physical alterations in biomolecular structures and organizations and concerned drug discovery strategies will be scrutinized. Nanotechnology application in manipulating nanoprocesses in biological systems will be addressed. Key Features: • Presents an accessible introduction to how physics principles and techniques can be used to understand biological and biochemical systems. • Addresses natural processes, mutations, and their purposeful manipulation. • Lays the groundwork for vitally important natural scientific, technological and medical advances. Mohammad Ashrafuzzaman, a biophysicist and condensed matter scientist, is passionate about investigating biological and biochemical processes utilizing physics principles and techniques. He is a professor of Biophysics at King Saud University’s Biochemistry Department of College of Science, Riyadh, Saudi Arabia, the co-founder of MDT Canada Inc., and the founder of Child Life Development Institute, Edmonton, Canada. He authored Biophysics and Nanotechnology of Ion channels, Nanoscale Biophysics of the Cell, and Membrane Biophysics. He also published around 50 peer-reviewed articles, edited two books, and has been serving on editorial boards of Elsevier and Bentham Science journals. Dr. Ashrafuzzaman has had held research and academic ranks at Bangladesh University of Engineering & Technology, University of Neuchatel (Switzerland), Helsinki University of Technology (Finland), Weill Medical College of Cornell University (USA), and University of Alberta (Canada). Dr. Ashrafuzzaman obtained his highest academic degree, Doctor of Science (D.Sc.) in condensed matter physics from the University of Neuchatel, Switzerland in 2004.

Provides a stimulating introduction to the structures and functions of ion channels of membranes of biological cells and discusses the biophysics of ion channels in condensed matter state and physiological condition Addresses natural processes and nanotechnology opportunities for their purposeful manipulation Lays the groundwork for vitally important medical advances

This book clarifies some misunderstandings about money by tying the concept of money to the goods and services sector of the economy. In addition, it demystifies the process of money creation on the part of central banks. The phenomenon of money is ubiquitous; it has been around for tens of thousands of years, if not longer. Indeed, no modern economy could function without money. For many, however, the concept of money remains elusive. Worse still, misinformation abounds, which leaves the uninitiated vulnerable to fraud. This lack of understanding has serious policy implications as well. When policymakers lack a firm grasp of the concept, policy is likely to be flawed and its effects are likely to be detrimental to the body politic. After providing a brief history of money, the author details the role of money in the division of labor and specialization, in economic growth, and in an interconnected world. Throughout the book, he points out the pitfalls of fallacious thinking. In recent policy debates, such thinking has led to proposals ranging from the re-institution of the gold standard to supplying limitless money as suggested by Modern Monetary Theory.

This book is a collection of selected research papers, some of which were presented at the International Conference on Differential Geometry, Algebra and Analysis (ICDGAA 2016), held at the Department of Mathematics, Jamia Millia Islamia, New Delhi, from 15-17 November 2016. It covers a wide range of topics-geometry of submanifolds, geometry of statistical submanifolds, ring theory, module theory, optimization theory, and approximation theory-which exhibit new ideas and methodologies for current research in differential geometry, algebra and analysis. Providing new results with rigorous proofs, this book is, therefore, of much interest to readers who wish to learn new techniques in these areas of mathematics.

Macroscopic cellular structures and functions are generally investigated using biological and biochemical approaches. But these methods are no longer adequate when one needs to penetrate deep into the small-scale structures and understand their functions. The cell is found to hold various physical structures, molecular machines, and processes that require physical and mathematical approaches to understand and indeed manipulate them. Disorders in general cellular compartments, perturbations in single molecular structures, drug distribution therein, and target specific drug-binding, etc. are mostly physical phenomena. This book will show how biophysics has revolutionized our way of addressing the science and technology of nanoscale structures of cells, and also describes the potential for manipulating the events that occur in them.

Macroscopic cellular structures and functions are generally investigated using biological and biochemical approaches. But these methods are no longer adequate when one needs to penetrate deep into the small-scale structures and understand their functions. The cell is found to hold various physical structures, molecular machines, and processes that require physical and mathematical approaches to understand and indeed manipulate them. Disorders in general cellular compartments, perturbations in single molecular structures, drug distribution therein, and target specific drug-binding, etc. are mostly physical phenomena. This book will show how biophysics has revolutionized our way of addressing the science and technology of nanoscale structures of cells, and also describes the potential for manipulating the events that occur in them.

Physics, mathematics and chemistry all play a vital role in understanding the true nature and functioning of biological membranes, key elements of living processes. Besides simple spectroscopic observations and electrical measurements of membranes we address in this book the phenomena of coexistence and independent existence of different membrane components using various theoretical approaches. This treatment will be helpful for readers who want to understand biological processes by applying both simple observations and fundamental scientific analysis. It provides a deep understanding of the causes and effects of processes inside membranes, and will thus eventually open new doors for high-level pharmaceutical approaches towards fighting membrane- and cell-related diseases.

Physics, mathematics and chemistry all play a vital role in understanding the true nature and functioning of biological membranes, key elements of living processes. Besides simple spectroscopic observations and electrical measurements of membranes we address in this book the phenomena of coexistence and independent existence of different membrane components using various theoretical approaches. This treatment will be helpful for readers who want to understand biological processes by applying both simple observations and fundamental scientific analysis. It provides a deep understanding of the causes and effects of processes inside membranes, and will thus eventually open new doors for high-level pharmaceutical approaches towards fighting membrane- and cell-related diseases.

This book clarifies some misunderstandings about money by tying the concept of money to the goods and services sector of the economy. In addition, it demystifies the process of money creation on the part of central banks. The phenomenon of money is ubiquitous; it has been around for tens of thousands of years, if not longer. Indeed, no modern economy could function without money. For many, however, the concept of money remains elusive. Worse still, misinformation abounds, which leaves the uninitiated vulnerable to fraud. This lack of understanding has serious policy implications as well. When policymakers lack a firm grasp of the concept, policy is likely to be flawed and its effects are likely to be detrimental to the body politic. After providing a brief history of money, the author details the role of money in the division of labor and specialization, in economic growth, and in an interconnected world. Throughout the book, he points out the pitfalls of fallacious thinking. In recent policy debates, such thinking has led to proposals ranging from the re-institution of the gold standard to supplying limitless money as suggested by Modern Monetary Theory.

This volume showcases mostly the contributions presented at the International Conference in Algebra and Its Applications held at the Aligarh Muslim University, Aligarh, India during November 12-14, 2016. Refereed by renowned experts in the field, this wide-ranging collection of works presents the state of the art in the field of algebra and its applications covering topics such as derivations in rings, category theory, Baer module theory, coding theory, graph theory, semi-group theory, HNP rings, Leavitt path algebras, generalized matrix algebras, Nakayama conjecture, near ring theory and lattice theory. All of the contributing authors are leading international academicians and researchers in their respective fields. Contents On Structure of -Prime Rings with Generalized Derivation A characterization of additive mappings in rings with involution| Skew constacyclic codes over Fq + vFq + v2Fq Generalized total graphs of commutative rings: A survey Differential conditions for which near-rings are commutative rings Generalized Skew Derivations satisfying the second Posner's theorem on Lie ideals Generalized Skew-Derivations on Lie Ideals in Prime Rings On generalized derivations and commutativity of prime rings with involution On (n, d)-Krull property in amalgamated algebra Pure ideals in ordered -semigroups Projective ideals of differential polynomial rings over HNP rings Additive central m-power skew-commuting maps on semiprime rings A Note on CESS-Lattices Properties Inherited by Direct Sums of Copies of a Module Modules witnessing that a Leavitt path algebra is directly infinite Inductive Groupoids and Normal Categories of Regular Semigroups Actions of generalized derivations in Rings and Banach Algebras Proper Categories and Their Duals On Nakayama Conjecture and related conjectures-Review On construction of global actions for partial actions On 2-absorbing and Weakly 2-absorbing Ideals in Product Lattices Separability in algebra and category theory Annihilators of power values of generalized skew derivations on Lie ideals Generalized derivations on prime rings with involution

This book provides a comprehensive knowledge of linear algebra for graduate and undergraduate courses. As a self-contained text, it aims at covering all important areas of the subject, including algebraic structures, matrices and systems of linear equations, vector spaces, linear transformations, dual and inner product spaces, canonical, bilinear, quadratic, sesquilinear, Hermitian forms of operators and tensor products of vector spaces with their algebras. The last three chapters focus on empowering readers to pursue interdisciplinary applications of linear algebra in numerical methods, analytical geometry and in solving linear system of differential equations. A rich collection of examples and exercises are present at the end of each section to enhance the conceptual understanding of readers. Basic knowledge of various notions, such as sets, relations, mappings, etc., has been pre-assumed.