Mathematics for Engineers and Physicists, Part 3

The material in the book covers the topics needed for a course in Cartesian Vectors and Tensors with applications to Geometry and Theory of Relativity. The subject matter is presented here in six chapters of which the first one deals with the vector algebra. Derivation of vector-valued functions is considered in Chapter 2. The Chapter 3 briefly mentions about the vectors in electric and magnetic fields. The next two chapters are devoted to the detailed discussion of Cartesian Tensors. Chapter 5 includes the Tensors in cylindrical and spherical coordinates. The last chapter presents a brief introduction of Theory of Relativity.For more details, please visit https://centralwestpublishing.com

The present book is the third issue of a series explaining various terms and concepts in Mathematics. Introducing the topics in concise form of definitions, main results, theorems and examples, it may serve as a reference book. The topics arranged in alphabetical order starting from Algebra (Classical) and covering up to Geometry (3-dimensional Coordinate) were included in the first volume. Further topics from Differential Geometry up to Jacobians have been included in volume 2. The present volume includes the topics from Laplace Transform up to Special Functions.The subject matter is presented here in nineteen chapters of which the first one lists few results referred to in the later discussion. The next eighteen chapters cover the material on main topics of Laplace Transform, Inverse Laplace Transform, their Applications to Differential Equations, Linear Algebra, Linear Programming, Matrix Theory, Metric Spaces, Number System, Number Theory, Numerical Analysis, Operations Research, Power Series and Expansion of Functions, Quadratic Forms, Riemannian Geometry, Sequences and Series, Series Solutions of ODEs, Set Theory and Special Functions.For more details, please visit https://centralwestpublishing.com

The present book is the fourth issue of a series explaining various terms and concepts in Mathematics and Statistics. Introducing the topics in concise form of definitions, main results, theorems and examples, it may serve as a reference book. The topics arranged in alphabetical order starting from Algebra (Classical) and covering up to Geometry (3-dimensional Coordinate) were included in the first volume. Further topics from Differential Geometry up to Jacobians have been included in volume 2, while volume 3 includes the topics from Laplace Transform up to Special Functions. The present volume deals with the topics from Statics up to Vector Spaces.The subject matter is presented here in fourteen chapters of which the first one lists few results referred to in the later discussion. The next thirteen chapters cover the material on main topics of Statics, Statistical Techniques, Tensors (Cartesian), Tensors in Cylindrical and Spherical Coordinates, Theory of Equations, Topological Spaces, Trigonometry (Plain), Vector Algebra, their applications to Geometry, their Derivation and Integration. The last chapter discusses the Vector Spaces in detail.For more details, please visit https://centralwestpublishing.com

The present book is the first issue of a series explaining various terms and concepts in Mathematics. It introduces the topics, definitions, main results and theorems (generally) avoiding proofs of the results. The top- ics are arranged in alphabetical order starting from Algebra (Classical) and cover up to Geometry (3-dimensional Coordinate) in the present volume. Further topics are included in the forthcoming volumes. The subject matter is presented here in fifteen chapters of which the first one lists few results referred to in the later discussion. The next fourteen chapters cover the material on main topics of Algebra (Classi- cal), Algebraic Structures, Arithmetic, Calculus (Differential), Calculus (Integral), Complex variable, Determinants, Differential Equations (Or- dinary), Differential Equations (Partial), Diffusion Equation, Dynamics, Fourier Transforms of Functions, Geometry (Coordinate: 2-dimensional) and Geometry (Coordinate: 3-dimensional).For more details, please visit https://centralwestpublishing.com

The book narrates the saga of origin of geometry especially non-Euclidean and covers up to few generalizations of non-Euclidean geometry such as Riemannian, Finslerian, Minkowskian, Kawaguchi geometry, Geometry of Complex spaces, etc. However, more attention is focused on the recent developments in vivid models of Finslerian structures. The book provides brief account of a large number of contributions made in the field by authors at large and it may introduce the subject to the learners and researchers in the field.For more details, please visit https://centralwestpublishing.com

The present book is in sequel with the Part 1 of this series. It covers the mathematics syllabus of the second semester of the Bachelor's degree in engineering of most of the universities all over the world. The knowledge of the foundation courses in basic college mathematics such as classical algebra, trigonometry, 2-dimensional coordinate geometry, vector algebra and Part 1 of the series is a pre-requisite. However, topics such as ODEs, sequences and series, calculus of functions of complex variable, etc., are dealt in detail ab initio. At the end, a detailed bibliography and alphabetically arranged index of topics are provided for easy reference.For more details, please visit https://centralwestpublishing.com

The present book is the second issue of a series explaining various terms and concepts in Mathematics. Introducing the topics in concise form of definitions, main results, theorems and examples, it may serve as a reference book. The topics arranged in alphabetical order starting from Algebra (Classical) and covering up to Geometry (3-dimensional Coordinate) were included in the first volume. Further topics from Differential Geometry up to Jacobians are included in the present volume.The subject matter is presented here in sixteen chapters of which the first one lists few results referred to in the later discussion. The next five chapters cover the material on main topics of Differential Geometry such as Curves in Space, Envelopes and Ruled surfaces, Curvature of surfaces, Gauss and Mainardi-Codazzi equations, Special curves on a surface. All of these chapters in D.G. are supplemented with number of unsolved problems with necessary hints. Finite Geometry is discussed in Chapter 7, while Chapter 8 deals with the Historical development of Euclidean geometry. The next four chapters deal with the Plane, Solid, Spherical and Transformation geometries. Improper integrals, Evaluation of Improper integrals with limits and Uniform convergence of Improper integrals is taken up in Chapters 13-15. The last chapter deals with Jacobians and their properties.For more details, please visit https://centralwestpublishing.com

This book provides the numerous prayers commonly used in Hinduism in English script, along with providing glimpses into the Indian astrology. The subject matter is arranged in 12 groups: the first of these introduces Hindi characters. To distinguish soft and hard sounds of few Hindi characters, a scheme is defined so that the non-natives may recite correctly. Also, deities are arranged in eight groups: Devi Ma, Ganesha, Hanuman, Krishna, Rama, Shiva, the Sun God, and Vishnu. English translation of Hanuman Chalisa provided by my ex-student (Shri Chinta Ramroop) is also edited in Chapter 13. Prayers concerning these deities are included in concerned groups. The next (10th) group comprises of Miscellaneous Prayers, Prayer to God, Universal Prayers and Some Vedic and other Mantras. The 11th group presents the brief discussion of Indian Astrology. My other non-mathematical publications are listed in the 12th group for general reading. The humble task is concluded with a list of References given at the end.<BR>For more details, please visit https://centralwestpublishing.com