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 978-81-89781-49-1
First Published 2008; Price: Rs. 250

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

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

SMART GUIDE TO JECA MATHEMATICS
[FOR MCA ENTRANCE EXAM]
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 978-81-89781-51-4
First Published 2008 Price: Rs. 200

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

A FIRST COURSE IN LINEAR PROGRAMMING
D. J. Bhattacharya
Lecturer in Mathematics and Dean of Science, ST. Xavier's College, Kolkata.

It is written according to the syllabus of undergraduate course in Mathematics of Calcutta University covering the topics both at the General (Pass) level and at the Advanced (Honours) level. Since a large section of the readers will need Linear programming only for Application purpose in relation to their field of interest, the content has been carefully organised in two section, with each section divided into several parts. Test questions have been set to help the student to make a self assessment and prepare better for examination.
ISBN 81-87504-83-8
First Published 2005
Rs. 165.00

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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Mathematical Analysis: Problems & Solutions by S. Bandopadhyay

ELEMENTS OF COMPLEX ANALYSIS
S. Ganguly, M.A., Ph.D.
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 proposed 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. The syllabus of Calcutta University is however covered with the first three chapters. In view of the fact that 'Integration' has not been included in the syllabus, a total feeling about Complex Analysis cannot be had from
the book; a picture which differentiates Real Analysis from Complex Analysis cannot be evident for the same reason. However, the book has been written to infuse a sense of confidence about the concepts which have been developed. Numerous examples have been worked out so that the applications of the theories can be envisaged by the students.
ISBN 81-87504-86-2
First Published 2005
Rs. 45.00

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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 978-81-89781-41-5
Second edition 2007
Rs. 100.00

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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HANDBOOK OF MATHEMATICS PRACTICAL
Amritava Gupta
Formerly Professor of Applied Mathematics University of Calcutta

This handbook is intended for use by students of Advanced (Honours) undergraduate course in Mathematics in the practical class for working on square-mesh computation sheets with the help of non-programmable hand calculators. The book contains model answer, both in content and format, to the various problems on Numerical Analysis and Mathematical Statistics prescribed for them.
ISBN 81-87504-21-8
First Published 2001
Rs. 20.00