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MATHEMATICAL ANALYSIS: PROBLEMS & SOLUTIONS
Sitansu Bandopadhyay
Guest lecturer, Rabindra Bharati University, Kolkata
Selection Grade Lecturer (Retired), Vidyasagar College, Kolkata Guest Lecturer, Vidyasagar Evening College.
Features & Benefits
The book has been written in accordance with the syllabus of Mathematical Analysisment for students in undergraduate course of study in Universities of West Bengal and othe Universities, too. This will, cater to the needs of students who have taken up advance
course in Mathematics in undergraduate level. Students will find the book helpful in as much as theories have been dealt with fully and adequately examplified at appropriate places. Numerous
examples have been fully solved so that the students may master the skill of solving problems independently and realise the application of theory for a clear understanding of the subject and its logical
development.
ISBN 978-93-80599-27-4
Third Edition 2011
Rs. 300.00
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Application of Calculus: Problems & Solutions by S. Bandopadhyay & S. Maiti |
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APPLICATION OF CALCULUS : THEORY & PROBLEMS
Sitansu Bandopadhyay
Former Guest Lecturer, Rabindra Bharati University, Kolkata, Selection Grade Lecturer (Retired), Vidyasagar College, Kolkata, Guest Lecturer, Vidyasagar Evening College.
Sunil Kumar Maity
Lecturer, Department of Mathematics, Burdwan University
Features & Benefits
The book has been written in accordance with the syllabus of Mathematical Analysis meant for students in undergraduate course of study in Universities of West Bengal and other Universities, too. This will, cater to the needs of students who have taken up advance course in Mathematics in undergraduate level. Students will find the book helpful in as much as theories have been dealt with fully and adequately examplified at appropriate places. Numerous examples have been fully solved so that the students may master the skill of solving problems independently and realise the application of theory for a clear understanding of the subject and its logical development.
ISBN 978-93-80599-26-7
Second Editionn 2011
Rs. 200.00
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ADVANCED MATHEMATICAL ANALYSIS : THEORY & PROBLEMS
Utpal Chatterjee, Associate Professor, Bangabashi College, Kolkata
This book is primarily meant for undergraduate students and presents a variety of problems on a wide range of topics in mathematical analysis. It serves as an independent source of problems with detailed answers along with well known theorems, proofs and relevant results. This book includes important problems and solutions to help students learn the difficult concepts and techniques.
The rich collection of problems and solutions contained in this book illustrates well known fundamental theorems, proofs and necessary concepts. It also includes almost every type of problem that might be set or given on university and competitive examinations.
As an aid to the students for examination purpose, many problems set in different university examinations have also been incorporated. Hence this book is highly suitable for students preparing for undergraduate examinations of various universities.
Topics covered are linear point set, sequence of function, limit function, power series, Riemann integration, improper integral, Fourier series, etc.
This book will definitely help the students not only to prepare for examinations but also enable them to develop analytical problem solving skills.
The book may also help the examinees appearing for competitive examinations like SSC, JECA, NET, SET & ICS etc.
ISBN : 978-93-80599-41-0
Third Edition 2011; Price: Rs. 300
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VECTOR AND TENSOR ANALYSIS
Utpal Chatterjee (Associate Professor, Department of Mathematics, Bangabasi College, Kolkata)
Nandini Chatterjee (Former Part time Lecturer, Department of Mathematics, S.A. Jaipuria College, Kolkata)
About The Book
- This book is primarily written for undergraduate Mathematics Honours students of Indian Universities. Hopefully it will be useful also for Physics Honours and Engineering students.
- Different ideas and concepts are clearly explained in simple language and many important problems have been solved to facilitate the understanding of the concepts explained in the text.
- Each chapter is concluded with an Exercise comprising various interesting problems. Students may test their level of understanding by attempting to solve the problems.
- The chief purpose of this book is to present the concept of vector, its algebra and calculus with application to many geometrical problems, trigonometrical identities and problems on Mechanics in a systematic way so that students can grasp the ideas enunciated very easily.
- Apart from vector Analysis, ideas of tensor, its algebra and introductory part of its calculus is elaborated with motivation of study of tensor and its application to various branches of Applied Mathematics and Physics.
- This book will definitely help the students not only to prepare for examination but also enable thus to develop problem solving skills.
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First Edition 2010
Price 275.00
ISBN :978-93-80599-05-2
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FIRST COURSE IN REAL ANALYSIS
Subir Kumar Mukherjee
Former Reader in Mathematics, Serampore College
The book is intended to be a textbook for students of mathematics at the undergraduate level. Accordingly emphasis has been laid on precison of statements and completeness of discussions. The book covers the following topics :
Real Number System
Enumerable and Nonenumerable Sets
Function of One Variable
Sequence of Real Numbers
Infinite Series
Limits and Continuity
Differentiation
Maximum and Minimum
Indeterminate Form
Double Sequence and Double Series
The book will stimulate the interest of students, teachers and
mathematicians.
First Published April 2009
ISBN : 978-81-89781-90-3
Price Rupees two hundred and fifty only
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ADVANCED DIFFERENTIAL CALCULUS ON SEVERAL VARIABLES
Subir Kumar Mukherjee, Serampore College, Hooghly, West Bengal
The book is intended to be a textbook for students of mathematics at the undergraduate level. Accordingly emphasis has been laid on precison of statements and completeness of discussions. The book covers the following topics :
Functions of Several Variables
Functions of Two Independant Variables
Partial Differentiation
Higher Order Partial Derivative
Homogeneous Function
Jacobian and Implicit Function
Mean Value Theorem and Taylor's Theorem
Maxima and Minima
The book will stimulate the interest of students, teachers and
mathematicians.
First Publishd Jan 2009, ISBN : 978-81-89781-80-4
Price: Rs. 125.00
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TOPICS IN REAL ANALYSIS
Subir Kumar Mukherjee, Serampore College, Hooghly, West Bengal
The book is intended to be a textbook for students of mathematics at the
undergraduate level. Accordingly emphasis has been laid on precison of
statements and completeness of discussions. The book covers the
following topics :
Riemann Integration
Improper Integrals
Uniform Convergence of Sequence and Series of Functions, Power Series
Functions of Bounded Variation
Integrals as Function of Parameter
Double and Triple Integral
Fourier Series
The book will stimulate the interest of students, teachers and
mathematicians.
Second Edition 2011
ISBN : 978-81-89781-66-8
Price: Rs. 275.00
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LINEAR PROGRAMMING With Game Theory (Theory & Problems)
Dr. Saumitra Mukhopadhyay
About the book
The book aims to meet the demand of the students and covers the elements of linear programming and game theory systematically. An effort has been made to put the theoretical discussion under uniformity of notations. The real life problems are transformed into mathematical problems and then the solutions are discussed first through graphical method and then by simplex methods and by the theory of duality. Each technique is preceded by the relevant theories and followed by suitable problems. Some special types of problems – the transportation problems, the assignment problems andtravelling salesman problem are discussed with their optimal solutions. Modi method of iteration and reduced matrix method to reach the optimal solutions of the corresponding problems are discussed by suitable examples. The last chapter deals with the theory of games and its solution.
For the sake of the convenience of the students, model answers covering more than a decade of questions from Calcutta University examinations are worked out categorically.
First Edition 2011, ISBN : 978-93-80599-33-5
Price: Rs. 250.00
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ANALYTICAL GEOMETRY
Jyoti Das, Retired Sir Ashutosh Birth Centenery Professor of Higher Mathematics, Department of Pure Mathematics, University of Calcutta
About The Book
The main feature of the book lies in its axiomatic deve-lopment of the subject, named “geometry”. It has been based on the axioms of Hilbert, which have been stated clearly. Each individual topic has been derived logically from these axioms.
Each chapter in the book has been followed by plenty of “illustrations” to help the beginners to be acquainted with the concepts involved, together with “problems” for them to practise.
The book contains a detailed discussion on curves and surfaces, represented by equations in x, y, and x, y, z respectively, of degree not greater than two. As a result it covers the syllabus on the subject of any Indian university to be followed for its undergraduate or postgraduate course.
First Edition 2011
Price Rupees Two hundred fifty only
ISBN : 978-93-80599-32-8
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NUMERICAL ANALYSIS & STATISTICAL METHODS: Including Computer Programming In C & Fortran 77 (Volume 1)
Dr Sujata Sinha
Associate Professor and Head of the Department
Bangabasi Morning College, Kolkata
Dr. Sushama Pradhan
Associate Professor and Head of the Department
Ram Mohan College, Kolkata
The first volume contains mainly numerical methods and their programming in C and Fortran 77. The book covers the under-graduate
syllabus of Mathematics general and honours courses of Indian universities, engineering, computer science etc. The book may be useful for the M.Sc. students of Indian Universities also.
ISBN 978-93-80599-29-8
First Edition 2011
Rs. 275.00
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A TREATISE ON BASIC ALGEBRA
S. Ganguly, M.A., Ph.D.
Professor of Pure Mathematics, University of Calcutta.
M. N. Mukherjee, M.Sc. (Gold Medalist), Ph.D.
Professor of Pure Mathematics, University of Calcutta.
The book is meant primarily for the undergraduate students of B.Sc. Mathematics General course. Written by two eminent and renowned Professors of Pure Mathematics (Calcutta University) with profound expertise and teaching experience of more than 25 years, the book deals in a lucid but analytical style, with the following topics: Complex numbers, Theories of polynomial equations, Determinants and Matrices, Sets, relations and mappings, Groups, rings, fields, Vector spaces, eigen values and eigen vectors, quadratic forms.
The book is unique in respect of the following two main features, among many others : (1) Theoretically absolutely sound; no compromise with mathematical rigour; logical precision has been entertained, although the entire development has been elucidated with illustrations and motivational aspects. (2) problems have been selected with meticulous care so that a few of them may reflect and encompass a large number of apparently different looking ones, thus reducing the quantum of repetitions. As an aid to the students for examination purpose, many problems set in different University examinations have also been incorporated.
ISBN 81-89781-16-2
First Edition 2006
Rs. 175.00
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ELEMENTS OF COMPLEX ANALYSIS
S. Ganguly, M.A., Ph.D.
Formerly Professor of Pure Mathematics, University of Calcutta.
The UGC has proposed a course of Complex Analysis in the undergraduate level; all the Universities of West Bengal have accepted the proposal and have introduced a syllabus in their own way. The book has encompassed all the items so that the syllabus of each University may be covered.
This book is primarily meant for undergraduate students and presents a variety of problems on a wide range of topics and its applications. It serves as an independent source of problems with detailed answers along with well known theorems, proofs and relevant results. This book includes important problems and solutions to help students learn the difficult concepts and techniques.
The rich collection of problems and solutions contained in this book illustrates well known fundamental theorems, proofs and necessary concepts. It also includes almost every type of problem that might be set or given on university and competitive examinations.
As an aid to the students for examination purpose, many problems set in different university examinations and model questions have also been incorporated. Hence this book is highly suitable for students preparing for undergraduate examinations of various universities.
This book will definitely help the students not only to prepare for examinations but also enable them to develop analytical problem solving skills.
ISBN 978-81-89781-89-7
Second Edition Reprinted 2011
Rs. 100.00
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PRINCIPLES OF COMPLEX ANALYSIS
Amritava Gupta
Retired Professor of Applied Mathematics, University of Calcutta
About the book:
This book is an introduction to the subject intended for study at the Masters level of Indian Universities. This is an exposition of the basic principles of Complex Analysis keeping the mathematical sophistication at the minimum level without, however, sacrificing logical rigour. Thus concepts like 'Homology' and 'Homotopy' have been avoided, but, odd objects like the 'Clock' and 'Dependence' on vague geometrical drawings have been done away with, these being replaced by a number of clearly specified Topological Theorems which have been accepted without proof.
Many problems have been given for the young learners to test their acquired knowledge with adequate hints and solutions.
First Edition 2010
ISBN: 978-93-80599-00-7
Price Rupees two hundred only
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ELEMENTS OF METRIC SPACES
M. N. Mukherjee, M.Sc. (Gold Medalist), Ph.D.
Professor of Pure Mathematics, University of Calcutta.
In accordance with the uniform pattern of all-India curricula on mathematics, proposed by the UGC, a course on metric spaces has been adopted by different Indian Universities in their U. G. (Hons.) or P.G. course in Mathematics. The book is so carefully designed that it will cater to the need for the students studying such a couse or even a truncated one (like that adopted by University of Calcutta), where in the latter eventuality, the students have to concentrate on only the relevant chapters which are self-contained.
ISBN 978-81-89781-98-9
Third edition 2010
Rs. 125.00
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GROUNDWORK OF MATHEMATICAL PROBABILITY AND
STATISTICS
Amritava Gupta
Formerly Professor of Applied Mathematics University of Calcutta
The book is intended for the advanced undergraduate a postgraduate students of mathematics and mathematical statistics. A simple knowledge of elementary analysis is a sufficient prerequisite for reading this book; a few other mathematical tools necessary i.e. simple notions of sets, step functions etc. have heen developed in the course of the text. The fundamental limit theorems like the central limit theorem, the continuity theorem for characteristic functions etc. have been assumed without proof, and only the simple consequences disscussed. In statistics, through our major preoccupation is with the mathematical aspects of the subject, some amount of descriptive elements and computational procedures have also been incorporated the book, however, makes use of simple set functions, set theoretic methods and classical theories of Riemann integrals and series. Numerous problems are given either as worked out examples a as exercises with broad hints towards their solutions. The chapter on Multi-dimensional Distributions and Correlations and its statistical counter part appears as a new section under Multivariate Sample in the chapter on Bivariate Sample. A new chapter on Stochastic Process has been added in this new edition.
ISBN 978-81-89781-59-0
Fifth Edition 2008
Rs. 195.00
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