Books by Ram Bilas Misra

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

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 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

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 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. Möbius 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

The present book is the first Issue of a Series explaining various mathematical terms and concepts. It introduces the topics, definitions, main results and theorems avoiding proofs of the results. It may serve as a reference book. The first Issue consists of topics in Mathematical Analysis. The remaining ones covering topics of other mathematical disciplines will follow in the sequel. The contents are divided into Sections - numbered chapter wise. The discussion within the Sections is presented in the form of Definitions, Theorems, Notes and Examples. These subtitles within the Sections are numbered in decimal pattern. For instance, the equation number (c.s.e) refers to the eth equation in the sth section of Chapter c. When the number c coincides with the chapter at hand, it is dropped. Adequate references to the previously quoted results are made in the text avoiding their unnecessary repetition. For brevity, some set-theoretic notations and symbols are frequently used, e.g. the symbol ¿ means implies. The logarithm of a number to the exponential base e is denoted by ln. All the Latin mathematical symbols are normally italicized, while their Greek counterparts are in normal fonts.

The book offers a second course on Integral Calculus (of functions of real variables) for Graduate and Engineering students. Convergence (including uniform convergence) of improper integrals and various tests of Abel, Dirichlet and Weierstrass for the same are discussed. Improper integrals of quotient functions of various forms are evaluated. Integrations of continuous functions of 2 variables are discussed in relation with differential and integral properties of parameters in the functions. Eulerian integrals: Beta and Gamma functions, their transformation properties, relations connecting them, reflection and duplication formulae for the Gamma function and Frullani''s integral are given. Double and triple integrals giving volume and areas of surfaces are discussed in the last 3 chapters. Numerous examples are solved illustrating the methods of change of order of integration. Dirichlet''s integrals of 2nd, 3rd and pth orders are evaluated. Transfor- mations of integrals into 2 and 3-dimensional polar coordinates including Dirichlet''s and Liouville''s integrals are given. A short bibliography of the subject and an alphabetical index are added at the end.

Astrology has always been a fascinating subject to the mankind and the Cosmos ever remained a great mystery in spite of having been widely explored by the scientists. Taking birth in a traditional Vaishnavite family of India, I am also motivated towards this subject right since my childhood. Coming in contact with Mr. Yogendar Nath Dixit, a teacher of Mathematics at Allahabad (India) with profound knowledge of Indian astrology, in 1963, I learnt many more interesting characteristics of the subject from him during my long association with him. It was October 1995 when I was compelled to give a talk in an ¿International Conference on Integrated Systems of Medicine¿ organized at the Banaras Hindu University, Varanasi (India) by its organizers, I selected this topic and prepared a lecture (in English) with due consultations with many scholars of the subject. Varanasi has been well-known since ages for its scholars in astrology too. With my long expertise of mathematical training, I have tried to present here various aspects of astrology (with special reference to Indian astrology) in brief. Many explanations are given here in of mathematical tabular form that makes comprehension of the complex subject easier.