The book entitled 'A Textbook of Subsidiary Mathematics - I' has been written to meet the requirements of undergraduate students of Mathematics, Physics, Chemistry and Statistics. The content of this book is designed from the curricula offered by various universities across the country with special focus given to curriculum of Amity University. The topics Sets and Relations, differential Calculus, Theory of Equations and Statistics have been discussed in detail. In each chapter of this book, ample amount of theory is given which is supported by illustrative examples followed by exercises alongwith their answers. Appendix is added for better understanding of trigonometric functions and their inverses. Contents - 1. Set Theory and its Applications 2. Relations 3. Functions 4. Limits and Continuity 5. Derivatives 6. Taylor and Maclaurin Series 7. Polynomials 8. Theory of Equations 9. Solution of Cubic and Biquadratic Equations 10. Probability Theory 11. Statistics 12. Curve Fitting Appendix Examination Papers

The explanation of statistical concepts and examples given in this book are easy to understand and apply in practical situations. Exercises are prepared with different range of marks as per many university questions paper patterns. Multiple choice questions are also added in each chapter. Hence, this book is an ideal textbook to students of B.A. (Economics), B.Com., M.A. (Economics) and M.Com. degree courses and a worthy reference book to faculty members and research scholars. This book is designed to cater to the needs of students of Economics, Commerce and Management of many Universities and Autonomous Colleges. Contents : Chapter 1 Nature and Scope of Statistics Chapter 2 Statistical Survey Chapter 3 Sampling Techniques Chapter 4 Classification And Tabulation Chapter 5 Diagrammatic And Graphic Presentation of Data Chapter 6 Measures of Central Tendency Chapter 7 Measures of Dispersion Chapter 8 Skewness, Moments and Kurtosis Chapter 9 Index Numbers Chapter 10 Time Series Analysis Chapter 11 Correlation Analysis Chapter 12 Regression Analysis Chapter 13 Theory of Probability Chapter 14 Theoretical Distributions Chapter 15 Tests of Significance Chapter 16 Chi-Square Distribution Chapter 17 Analysis of Variance

It gives us a great pleasure indeed to place before the sagacious and discernible reading community the first edition of the book 'Business Statistics'. Bangalore University had aptly describe the present disciple in view of the fact that the modern agile students should have the exposure of quantitative treatment of qualitative phenomenon. The business decisions need to be made on the strength of quantitative facts. The simple and easy understanding of the complex business situations can be made possible through the quantitative analysis and interpretation of any scenario. In the current cross border trade scenario, the use of Business Statistics referred with quantitative analysis is more pronounced than yester years. The discipline `Business Statistics' enables the student to acquire analytical, divergent,lateral and convergent thinking. The book is made simple, lucid and clear for the purpose of facilitating the students to understand the concepts of background and basic concepts, diagrammatic and graphic representation, measures of central tendency, measures of dispersion, correlation and regression analysis and index numbers. Umpteen number of simple, moderate and complex problems on the above concepts have been systematically solved and provided to the students. The book is apart from the normal caravan or bandwagon of the innumerable titles in that it provides skill development components on different diagrams and graphs, tables based on real data and compute arithmetic mean / median, computation of standard deviation of real data pertaining to gold prices collected from dailies, preparation of a chart showing wholesale price index, graphical representation to find correlation and moving averages method to obtain profit data of a company. Book Content of Business Statistics 1. Background and Basic Concepts 2. Diagrammatic and Graphic Representation 3. Measures of Central Tendency 4. Measures of Dispersion (Variation) 5. Correlation and Regression Analysis 6. Index Numbers Appendix - I Appendix - II

The present text book of Mathematics for Management, is written as per the latest syllabus of mathematics, to cater the needs of the Second Semester of B.B.A course of MG University, Kottayam. The book also contains exercises with problems at the end of each section for the students to practice. The problems have been carefully selected and properly graded and answers have been provided at the end of each exercise. Book Content of Mathematics for Management 1. Coordinate System in a Plane 2. Straight Line 3. Differential Calculus − I 4. Differential Calculus − II 5. Integral Calculus

Written in simple language for easy understanding. A little effort, on the part of the student, is needed, to learn and comprehend the subject. Very large number of examples for better understanding of the concepts. Each chapter starts with its objective. Answers of unsolved examples provided along with the question. Examples are arranged in increasing order of difficulty level designed to clarify concepts smoothly. All the formulae are put at one place at the end of all chapters in the form of an appendix. Content 1. Sets 2. Matrices and Determinants 3. Solution of Simultaneous Linear and Quadratic Equations 4. Arithmetic and Geometric Progressions 5. Theory of indices, Surds and Logarithm 6. Permutations and Combinations 7. Mathematics of Finance 8. Coordinate Geometry of Two Dimensions 9. Functions 10. Differentiation and its Applications 11. Integration and Its Application 12. Linear Inequalities 13. Binomial Theorem Appendix

Decision Making is a constant as the life goes. At all times of the day, each living being makes the decision of one for type or the other. Decision making cuts across the areas of utilization. It is not required only for business, but in all walks of life at all times. The art and science of collecting, analyzing and using the information (can be called data) is utilized for identifying and solving life problems. The use of data for decision making is the body of statistical thinking. Business Environment is becoming more and competitive. Operating in this environment is very challenging and data has a very important role in meeting such a challenge. The author himself has been a practicing and understands the rigors of Business Decisions. It is from this experience, arose that the need that to put the data to use in the form of this book. The book has, therefore, been written in the most lucid, easy to understand language and the concepts have been amply Clearfield so as to make their use in daily business improvement exercise easier. The utilization of statistical concepts is better understood, when these make the job of the decision maker easy. As he is face with complex situations with large data, he has various alternatives and business interests, uppermost in his mind. The use of statistical methods, coupled with a structured approach to solve any problem with greater case. Basing decisions on data can, therefore, be viewed as an effective management strategy formulated through a scientific approach to quality of decisions. For various purposes, lot many comprehensive statistical software are now available and are being improved day by day. These are of further help for the purpose of sound decision making. The book has been divided into six modules, each dealing with a different concept. Module 1: It contains six chapters, describing various mathematical concepts, which are so useful in their application for decision making. Module 2 : It has three chapters for basic statistics, dealing with scope, definitions, central tendency and variations. Elementary knowledge of these concepts is being used later in this book. Module 3: The concepts of probability, its theory and use of probability distributions have been explaind in this past of the book. Module 4: It describes the basic concept of Decision Theory including Boyesian Approach for decision improvements. Module 5: The Module takes care of sampling theory, techniques and the distributions for different situations. The utilization has then been done in estimation and hypothesis testing to find the validity of certain assumptions during decision making. Module 6: In this module, some important tools of relationship of decision parameters and their utilization for future look into the business have been illustrated. These tools help in keeping business afloat during flow of time and resulting changes in situations. Contents : MODULE – I Chapter 1 Managerial Decision Making Chapter 2 Matrices Chapter 3 Functions Chapter 4 Differentiation Chapter 5 Fundamentals of Integration Chapter 6 Ratio and Proportion MODULE – II Chapter 7 Business Statistics & Scope Chapter 8 Measure of Central Tendency Chapter 9 Dispersion, Skewness And Kurtosis MODULE – III Chapter 10 Probability Theory Chapter 11 Probability Distributions MODULE – IV Chapter 12 Decision Theory MODULE – V Chapter 13 Sampling Theory and Sampling Distributions Chapter 14 Estimation and Hypothesis Testing MODULE – VI Chapter 15 Index numbers Chapter 16 Correlation Analysis Chapter 17 Regression analysis Chapter 18 Time Series Analysis And Forecasting Annexure A : List of Important Softwares

Decision Making is a constant process as the life goes. At all times of the day, each living being makes the decision of one type or the other. Decision making cuts across the areas of utilisation. It is not required only for Business, but in all walks of life at all times. The art and science of collecting, analysing and using the information (can be called data) is utilised for identifying and solving life problems. The use of data for decision making is the body of statistical thinking. Business environment is becoming more and more competitive. Operating in this environment is very challenging and data has a very important role in meeting such a challenge. The author himself been a practicing manager and understands the rigorous of Business Decision. It is from this experience arose the need to put the data to use in the form of this book. The book has, therefore, been written in the most lucid, easy to understand language and the concepts have been amply clarified so as to make their use in daily business improvement exercises. Book Content of Statistics for Management Chapter 1 : Decisions Making And Human Involvement Chapter 2 : Data Analysis And Measure of Central Tendency Chapter 3 : Dispersion, Skewness and Kurtosis Chapter 4 : Correlation Analysis Chapter 5 : Regression Analysis Chapter 6 : Time Series Analysis and Forecasting Chapter 7 : Interpolation and Extrapolation Chapter 8 : Index numbers Chapter 9 : Decision Analysis Chapter 10 : Theory of Probability Chapter 11 : Probability Distributions Chapter 12 : Sampling Theory And Sampling Distributions Chapter 13 : Theory of Estimation And Testing of Hypothesis Chapter 14 : Statistical Quality Control Techniques Tables

Business Mathematics, a subject, has gained considerable importance over last few years. It deals with the applications of certain areas of Mathematics such as Calculus, Matrices, Linear Programming etc. in solving problems of Commerce, Management and Economics. Therefore, one must have knowledge of Mathematics along with exposure of Commerce and Economics to Understand the subject properly. In view of this, the book, the book has been designed in such a manner a student who has no prior knowledge of Commerce, Economics or even Mathematics will be able to understand the subject comfortably. The book features an optimum combination of theory and applications of various topics begin covered in undergraduate and post graduate programmes. The primary strength of the book lies in the simple, lucid and illustration presentation. In this edition the following additions have been made : - Number of solved illustrations have been increased in all the chapters dealing with application of mathematics in economics and commerce. - Chapter on `Transportation and Assignment` has been redesigned and simplified by inserting new text and examples. `Stepping stone method` and `MODI method` have been simultaneously applied on the same problems so as to give better understanding of their fundamentals. - Chapter on `Matrices and Determinant` has been enlarged so as to include closed input-output model and other relevant issues. - The uses of index row in the optimal solution table has been highlighted with the help of illustrations in the chapter `Linear Programming`. - Solved question paper of Delhi University B.Com (Hons.)-2009 has been included in the appendix alongwith paper of earlier years. Contents : 1. Matrices and Determinants 2. Applications of Matrices 3. Linear Programming Formulation and Graphical Mathod 4. Linear Programming-Simplex Method 5. Functions, Limits and Continuity 6. Derivatives-Concepts 7. Application of Derivatives 8. Partial Differentiation-Concepts 9. Applications of Partial Differentiation 10. Integration-Concepts 11. Applications of Integration 12. Mathematics of Finance 13. Logarithms 14. Theory of Sets 15. Permutations and Combinations 16. Mathematical Induction 17. Sequence and Series 18. Binomial Theorem 19. Algebra of Vectors Tables

The development of economic and business activities has compelled the Government and businessmen to consider the statistical data as an integral part of their day-to-day activities. Statistical data, when analyzed properly, provide the much needed information for various business and policy decisions. Keeping this in mind, this text is written with the sole aim of providing the statistical techniques in a clear and simple form for the benefit of the academic community in general and the PG and UG students of Commerce in particular. Contents : 1. Introduction 2. Collection of Data 3. Classificationa and Tabulation of Data 4. Diagrammatic and Graphic Presentation 5. Sampling and Sample Design 6. Measures of Central Tendency 7. Measures of Dispersion 8. Skewness, Kurtosis and Moments 9. Correlation Analysis 10. Regression Analysis 11. Index Numbers 12. Analysis of Time Series 13. Interpolation and Extrapolation 14. Probability 15. Theoritical Distributions 16. Linear Programming 17. Set Theory 18. Matrices and Determination Appendix I Formulaes Appendix II Tables

This book is an additional contribution to the existing many contributions by eminent mathematicians. This book is written by keeping in mind the mathematical knowledge of the commerce and management students. Concepts in each chapter are presented in such a simple way that even a layman can understand without any strain. Many illustrated problems are presented in each chapter. In additions to this, miscellaneous illustrations containing solved questions of M.S. University for the years from 1992 to 2002 are given in each chapter. Contents : 1. Number System 2. Theory of Indices 3. Logarithms 4. Equations 5. Permutation and Combination 6. Progression 7. Binomial Theorems 8. Simple Interest, Compound Interest and Annuities 9. Ratio and Proportion 10. Discount, Bankers Discount And Average Due Date 11. Matrices and Determinants 12. Analytical Geometry 13. Differential Calculus 14. Integral Calculus 15. Deterministic Business Models