29 Ergebnisse - Zeige 1 von 20.

Keine Beschreibung.

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, sequ...

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 w...

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 p...

The book covers the mathematics syllabus of the third semester of the Bachelor's degree in engineering in most of the universities all over the world. The first chapter includes the main results used in the later discussion. Solutions of algebraic and transcendental equations are outlined in second chapter, while the next chapter deals with linear programming. Chapter 4 includes numerical solutions of ODEs. Chapter 5 deals with curve fitting a...

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 A...

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 subse...

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...

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 ...

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...

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 Geom...

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 Jacob...

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 Jaco...

Prayag is the ancient Sanskrit name of Allahabad - a city in North India, situated on the confluence of three rivers: the Ganges, Yamuna and Saraswati - the Goddess of Learning. Sant Tulsidas describes this Prayag as Tirthraj ("King of all Tirthas") in his classical epic Ram Charit Manas. When the sun crosses the line of Capricorn all the Tirthas, saints and other Rishis visit the Tirthraj Prayag. The University there can be regarded as the se...

The book comprises of 7 expository articles of different nature. The first one "Metrics of curved surfaces and spaces" deals with various possibilities of formulaefor measurement of distance between two infinitesimal points in different geometrical models especially Finslerian structures and their generalizations. "Differen- tial geometry: its past and future" describes briefly the development of the subject. Various techniques used therein ar...

Summary 1. Projectively flat Finsler spaces were introduced by Douglas [2], and studied by Berwald [1] for 2-dimension. Okumura [11] gave certain properties of projectively flat non-Riemannian spaces admitting concircular and torse-forming vector fields in association with symmetric and recurrent properties of their curvature tensors. Meher [3] studied projective flatness in a Finsler space when Berwald''s curvature tensor is recurrent. He der...

The book, having eight chapters, offers one semester course (with four credit hours per week) on diverse topics usually included in the mathematics syllabus of the first year Engineering class of most Universities. The first chapter deals with the introductory topics in 2-dimensional coordinate geometry: straight lines and conic sections. A brief discussion of theory of equations is given in the second chapter. Vectors (mostly in 3-dimensional...

The present book offers a first course on Complex Analysis. It deals with the differential and integral properties of functions of a single complex variable. It includes conformal transformations and applications of complex analysis to potential theory and flow problems.The subject matter is presented here in five chapters. It starts with a historical note for the introduction and subsequent development of the subject right from the initial st...

The first chapter deals with the transformations (more precisely translation, reflection, rotation, dilation) in a plane while similar transformations in a 3-dimensional Euclidean space are dealt with in the second chapter. Non-linear, affine and locally affine transformations and rigid motions are included. Isometries are introduced in the third chapter. Chapter 4 offers a detailed account of product transformations which form an algebraic gr...

By now Algebra (based on set theoretic notions) and Topology have established their dominance over almost all the disciplines in pure mathematics. Both of these subjects have become so vast that they need their detailed discussion separately. However, an attempt has been made here to present the basic and core topics of these subjects together. The book comprises of three main parts:(i) Algebraic systems: Sets and Functions, Groups, Rings, Fie...