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1000 tulosta hakusanalla Ram Bilas Misra

Advanced Applied Mathematics

Advanced Applied Mathematics

Ram Bilas Misra

Central West Publishing
2018
pokkari
The book deals with advanced topics of applied mathematics taught in universities and technical institutions. The subject matter is presented in 15 chapters. The first chapter offers the pre-requisites starting from numbers extending up to complex numbers. Vivid topics on group theory, vector algebra and vector calculus are included. The second chapter offers a comprehensive course on 'ordinary differential equations (ODE)' needed in the subsequent discussion. M bius transformations, Laplace transform, inverse Laplace transform, their applications to solve ODEs, Fourier series, Bessel's and wave equations are dealt in detail while multi-valued functions, diffusion equation, rotation group and non-relativistic scattering are briefly covered. The book is suitable for one year/two semester course for graduate students with 3 hours weekly credits. The presentation is made as lucid as possible based on the author's long teaching experience of the subject for over 5 decades at different universities worldwide.For more details, please visit https: //centralwestpublishing.com
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Mathematics for Engineers and Physicists

Mathematics for Engineers and Physicists

Ram Bilas Misra

Central West Publishing
2019
pokkari
The book covers the mathematics syllabus of the first semester of the Bachelor's degree in engineering of most of the universities all over the world. Knowledge of foundation courses in basic college mathematics such as classical algebra, trigonometry, 2-dimensional coordinate geometry and vector algebra is a pre-requisite. However, many topics such as matrices, calculus of both differential and integral of real- valued (scalar) functions as well as calculus of vector valued functions are dealt in detail ab initio. Special care is taken while presenting the applications of vectors to mechanics and integration of vector-valued functions with respect to scalars. At the end, a detailed bibliography and alphabetically arranged index of topics are also provided for easy reference.For more details, please visit https: //centralwestpublishing.com
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Mathematics for Engineers and Physicists

Mathematics for Engineers and Physicists

Ram Bilas Misra

Central West Publishing
2019
pokkari
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
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Axiomatic Systems

Axiomatic Systems

Ram Bilas Misra

Central West Publishing
2019
pokkari
The book deals with Axiomatic Systems taught at the tertiary level. The subject matter is presented in 7 chapters followed by a short bibliography and alphabetically arranged index. The first 2 chapters offer pre-requisites starting from number system and set theory. The next 2 chapters deal with mathematical logic, truth tables and history of various finite geometries, especially those of Fano, Pappus and Desargues. Some basic properties of Axiomatic Systems are covered in Chapter 5. Chapter 6 deals with a comprehensive course on metric spaces presenting some basic facts of real analysis as well. Topological systems with some basic models and properties are covered in the last chapter. The presentation is made as lucid as possible based on the author's long teaching experience of over 5 decades at different universities. For more details, please visit https: //centralwestpublishing.com
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Glossary of Mathematical Terms and Concepts (Part II)

Glossary of Mathematical Terms and Concepts (Part II)

Ram Bilas Misra

Central West Publishing
2019
pokkari
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
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Glossary of Mathematical Terms and Concepts (Part III)

Glossary of Mathematical Terms and Concepts (Part III)

Ram Bilas Misra

Central West Publishing
2019
pokkari
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
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Glossary of Mathematical Terms and Concepts (Part IV)

Glossary of Mathematical Terms and Concepts (Part IV)

Ram Bilas Misra

Central West Publishing
2019
pokkari
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
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Generalizations of Pythagoras Theorem to Polygons

Generalizations of Pythagoras Theorem to Polygons

Ram Bilas Misra

Central West Publishing
2020
pokkari
The book deals with the generalizations of Pythagoras theorem to polygons. The celebrated result of the Pythagoras theorem representing the sum of squares of two (positive) integers as the square of another integer has been extended to quadrilaterals composed of two right triangles so that the sum of squares of its first three sides equals the square of the remaining side. In the language of algebra, integral solutions of a quadratic equation a2 + b2 + c2 = d2 are explored. The first 18 Sections in the first chapter deal with the special cases when the length of the fourth side exceeds that of the third side by numeric values: 1-17. The last section consists of some miscellaneous results.For more details, please visit https: //centralwestpublishing.com
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Cartesian Vectors and Tensors

Cartesian Vectors and Tensors

Ram Bilas Misra

Central West Publishing
2020
pokkari
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
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Dev Vani and Indian Astrology

Dev Vani and Indian Astrology

Ram Bilas Misra

Central West Publishing
2021
pokkari
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.For more details, please visit https: //centralwestpublishing.com
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