This book contains the detailed solutions of all the exercises of my book: Tensor Calculus Made Simple. The solutions are generally very detailed and hence they are supposed to provide some sort of revision for the subject topic.

The author of the book possesses a diverse academic and research background. He holds a BEng in electronics engineering, a BSc in physics, a PhD in petroleum engineering, a PhD in crystallography, and a PhD in atomic physics and astronomy. He also worked as a postdoctoral research associate for several years. He published dozens of scientific research papers in many refereed journals and produced numerous academically oriented documents which are freely available on the world wide web.

R.S Aggarwal Quantitative Aptitude is the most preferred book for SSC EXAMS, BANK PO, MBA, MAT, CAT, RAILWAY and many other competitive exams. for SSC aspirant, it is the most useful book for Quantitative aptitude.

Salient Features
Over 1500 problems are used to illustrate concepts, related to different topics, and introduce applications.
Over 1000 exercises in the text with many different types of questions posed.
Precise mathematical language is used without excessive formalism and abstraction.
Care has been taken to balance the mix of notation and words in mathematical statements.
Problem sets are stated clearly and unambiguously, and all are carefully graded for various levels of difficulty.
This text has been carefully designed for flexible use.

C. Vasudev is working as Assistant Professor in the Department of Mathematics, K.S. Institute of Technology (Kammavari Sangham), Bangalore. He has been teaching undergraduate and postgraduate courses in mathematics. He has a profound interest in writing textbooks and has good teaching record over the years. He has already authored over a dozen books and many more are yet to come. Clarity and an illustrative quality are the highlights of his books that have evoked enthusiastic response from the readers.

Contents:– Solution in series, Picard’s Iteration Methods (Uniqueness and Existence Theorem), Partial Differential Equations First Order, Partial Differential Equations with Constant Coefficients, Partial Differential Equations of Order Two, Monge’s Methods of Integration, Linear Partial Differential Equations, Singular Solution, Exact Differential Equations (Particular Forms), Numerical Integration, Wave, Heat, Laplace and Diffusion Equations, Boundary Value Problems, Linear Differential Equations (Matrix Method), Cobweb Phenomenon and Generating Functions.

The book has been divided into nine chapters. It deals the introduction to differential equation, differential equation of first order but not of first degree, the differential equation of first order and first degree, application of first order differential, linear equations, methods of variation of parameters and undetermined coefficients, linear equations of second order, ordinary simultaneous differential equation, total differential equations (Pfaffian Differential Forms and Equations).
The book include fundamental concepts, illustrative examples and applications to various problems.

This book is about tensor analysis. It consists of 169 pages. The language and method used in presenting the ideas and techniques of tensors make it very suitable as a textbook or as a reference for an introductory course on tensor algebra and calculus or as a guide for self-studying and learning. The book contains many exercises. The detailed solutions of all these exercises are available in another book by the author (Solutions of Exercises of Tensor Calculus Made Simple).

The author of the book possesses a diverse academic and research background. He holds a BEng in electronics engineering, a BSc in physics, a PhD in petroleum engineering, a PhD in Crystallography, and a PhD in atomic physics and astronomy. He also worked as a postdoctoral research associate for several years. He published dozens of scientific research papers in many refereed journals as well as producing other academically oriented documents which are freely available on the world wide web.

This book is about differential geometry of space curves and surfaces. The formulation and presentation are largely based on a tensor calculus approach. It can be used as part of a course on tensor calculus as well as a textbook or a reference for an intermediate-level course on differential geometry of curves and surfaces. The book is furnished with extensive sets of exercises and many cross references, which are hyperlinked, to facilitate linking related concepts and sections. The book also contains a considerable number of 2D and 3D graphic illustrations to help the readers and users to visualize the ideas and understand the abstract concepts. We also provided an introductory chapter where the main concepts and techniques needed to understand the offered materials of differential geometry are outlined to make the book fairly self-contained and reduce the need for external references.

The author of the book possesses a diverse academic and research background. He holds a BEng in electronics engineering, a BSc in physics, a PhD in petroleum engineering, a PhD in Crystallography, and a PhD in atomic physics and astronomy. He also worked as a postdoctoral research associate for several years. He published dozens of scientific research papers in many refereed journals as well as producing other academically oriented documents which are freely available on the world wide web.

This book is based on my previous book: Tensor Calculus Made Simple, where the development of tensor calculus concepts and techniques are continued at a higher level. Unlike the previous book which is largely based on a Cartesian approach, the formulation in the present book is based on a general coordinate system. The book is furnished with an index as well as detailed sets of exercises to provide useful revision and practice. To facilitate linking related concepts and sections, cross referencing is used extensively throughout the book. The book also contains a number of graphic illustrations to help the readers to visualize the ideas and understand the subtle concepts. The book can be used as a text for an introductory or an intermediate level course on tensor calculus.

The author of the book possesses a diverse academic and research background. He holds a BEng in electronics engineering, a BSc in physics, a PhD in petroleum engineering, a PhD in Crystallography, and a PhD in atomic physics and astronomy. He also worked as a postdoctoral research associate for several years. He published dozens of scientific research papers in many refereed journals as well as producing other academically oriented documents which are freely available on the world wide web.

This text has been carefully designed for flexible use for First Semester M.C.A. course of Uttar Pradesh Technical University (U.P.T.U.), and it contains the following features:
Precise mathematical language is used without excessive formalism and abstraction.
Over 900 exercises (problem sets) in the text with many different types of questions posed.
Care has been taken to balance the mix of notation and words in mathematical statements.
Problem sets (exercises) are stated clearly and unambiguously and all are carefully graded for various levels of difficulty.
Mathematics is like the ocean rough, boisterous and fearful on the surface, but having precious pearls and gems of the purest ray of the bottom.``

C. Vasudev is working as Assistant Professor in the Department of Mathematics, K.S. Institute of Technology (Kammavari Sangham), Bangalore. He has been teaching undergraduate and postgraduate courses in mathematics. He has a profound interest in writing textbooks and has good teaching record over the years. He has already authored over a dozen books and many more are yet to come. Clarity and an illustrative quality are the highlights of his books that have evoked enthusiastic response from the readers.

Combinatorics is the mathematics of counting, selecting and arranging objects. Combinatorics include the theory of permutations and combinations. These topics have an enormous range of applications in pure and applied Mathematics and Computer Science. These are processes by which we organize sets so that we can interpret and apply the data they contain. Generally speaking, combinatorial questions ask whether a subset of a given set can be chosen and arranged in a way that conforms with certain constraints and, if so, in how many ways it can be done. Applications of combinatorics play a major role in the analysis of algorithms.

For example, it is often necessary in such analysis to count the average number of times that a particular portion of an algorithm is executed over all possible data sets. This topic also includes solution of difference equations. Differences are required for analysis of algorithmic complexity, and since computers are frequently used in the numerical solution of differential equations via their discretized versions which are difference equations. It also deals with questions about configurations of sets, families of finite sets that overlap according to some prescribed numerical or geometrical conditions. Skill in using combinatorial techniques is needed in almost every discipline where mathematics is applied.

Salient Features
Over 1000 problems are used to illustrate concepts, related to different topics, and introduce applications.
Over 1000 exercises in the text with many different types of questions posed.
Precise mathematical language is used without excessive formalism and abstraction.
Problem sets are started clearly and unambiguously and all are carefully graded for various levels of difficulty.

C. Vasudev is working as Assistant Professor in the Department of Mathematics, K.S. Institute of Technology (Kammavari Sangham), Bangalore. He has been teaching undergraduate and postgraduate courses in mathematics. He has a profound interest in writing textbooks and has good teaching record over the years. He has already authored over a dozen books and many more are yet to come. Clarity and an illustrative quality are the highlights of his books that have evoked enthusiastic response from the readers.