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ADVANCED MATHEMATICAL ANALYSIS : Theory & Problems
Utpal Chatterjee, 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 978-81-909081-2-2
Second Edition 2010; Price: Rs. 275
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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.
First Publishd July ’08, ISBN : 978-81-89781-66-8; Price: Rs. 225.00
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SMART GUIDE TO JECA
[Mathematics & Aptitude]
By A group of Academic Experts
FEATURES AND BENEFITS
• Written according to current syllabus and regulation.
• Topics are written lucidly with meticulous care.
• Large number of Worked-out problems.
• Mock tests included for self assesment.
• All questions fully answered with hints.
• Carefully selected problems to maximize scores.
ISBN: 978-81-89781-76-7
First Edition 2009, Price: Rs. 500
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SMART GUIDE TO SSC MATHEMATICS
By A Group of Academic Experts
The book has been written according to the new syllabus and as per new regulations of Regional School Service Commission, West Bengal. More stress has been emphasised on performance of a candidate in the written test on the respective subject. The syllabus for mathematics (Pass) is so vast that is practically impossible for a candidate to prepapre himself by within stipulated time. Under the circumstances, this smart guide will be very beneficial to the examinees and will cater to their requirements. Mock tests are included for self assesment.
ISBN 978-81-89781-44-6
First edition 2007
Rs. 300.00
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APPROXIMATE SOLUTIONS OF IMPULSIVE HYPERBOLIC
EQUATIONS
D. Bainov
Higher Medical Institute, Sofia. Zdzislaw Kamont University of Gdansk
Emil Minchev
Sofia University
The book is pioneer in the theory of impulsive partial differential equations which is intended to mathematicians, physicists, chemists, bilogists, engineers and graduate students studying these branches of the science.
ISBN 81-86358-37-4
First Published 1996
Rs. 295.00
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APPLICATION OF CALCULUS : PROBLEMS & SOLUTIONS
(INTEGRAL AND DIFFERENTIAL)
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, Raiganj College (University College)
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 81-87504-94-3
First Published 2006
Rs. 150.00
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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. 165.00
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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 2009
Rs. 95.00
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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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