Applied Mathematics - I

ISBN Number : 978-93-5097-530-5

Student Price : Rs.230

Student Dollar Price : 9$

Book Edition : First

Year of Publication : 2013

No. Of Pages : 372

Book Weight :0

About The Book

All branches of engineering depends upon mathematics for their descriptions; and there has been a steady flow of ideas and problems from engineering field that has stimulated and sometimes initiated several new branches of mathematics. Thus it is a matter of vital importance that engineering students should receive a thorough grounding in mathematics with the treatment related to their interest and problems. This has been the source of motivation in the production of the present book which is designed to meet the requirements of B. E. First Semester engineering students of R. T. M. N. U., Nagpur and all the other Indian Universities. This book covers the more advanced aspects of engineering mathematics that are common to all B. E. First Semester engineering degrees and it differs from texts with similar names by the emphasis it places on certain topics, the systematic development of the underlying theory before making Applications, and the inclusion of new material. Its special features are as follows:

The numerous worked examples that follow the introduction of each new idea serve in the earlier chapters to illustrate applications that require relatively little background knowledge. The ability to formulate physical problems in mathematical terms is an essential part of all mathematics applications. Although this is not a text on Mathematical modeling, where more complicated physical applications are considered, the essential background is first developed to the point at which the physical nature of the problem becomes clear. In addition, the example demonstrates how the choice of a unique physically meaningful solution from a set of mathematically possible ones can sometimes depend on physical considerations that did not enter into the formulation of the original problem.

The need for engineering students to have a sound understanding of mathematics is recognized by the systematic development of the underlying theory and the provision of many carefully selected fully worked examples, coupled with their reinforcement through the provision of large sets of exercises at the ends of sections It also contain many routine exercises intended to provide practice when dealing with the various special cases that can arise, and also more challenging exercises, each of which is starred, that extend the subject matter of the text in different ways. Although many of these exercises can be solved quickly by using efficient mathematical tools, the authors believe the fundamental mathematical ideas involved are only properly understood once a significant number of exercises have first been solved by hand.

Contents :

Unit I Differential Calculus
Unit II Partial Differentiation
Unit III Matrices
Unit IV First Order Differential Equations
Unit V Higher Order Differential Equations
Unit VI Complex Numbers

About The Author

Mr. Akilahmad G. Sheikh, M.Sc., M.Phil., B.Ed. working as an Assistant Professor and Head of the Department of Applied Mathematics at Tulsiramji Gaikwad-Patil College of Engineering and Technology, Nagpur. He has five years of teaching experience and attended various International / National conferences. He has a life membership of Indian Society for Technical Education.

Mr. Bhushan B. Balpande is an Assistant Professor in the Department of Mathematics, ITM College of Engineering, Kamptee Nagpur. He stood RTM Nagpur University merit in B.Sc. Examinations. He was awarded M.Sc. degree in Mathematics from Post Graduate Teaching Department of Mathematics, RTM Nagpur University, Nagpur. He is carrying out his research in "Colombeau Algebra" from Institute of Science, Nagpur. He is involved in teaching from last five years.

Dr. Mrs. Alka Suresh Gudadhe, M.Sc., M.Phil., Ph.D., (B.Ed.) working as an Associate Professor and Head of the Department of Mathematics at Govt. Vidarbha Institute of Science & Humanities, Amravati. She received her Ph.D. Degree in 1993 from Nagpur University. She is recognized research supervisor in S.G.B. Amravati University, Amravati and M.Phil. supervisor for Allgappa University, Karaikudi, Chennai. She has 12 years teaching experience in junior college and 16 years in senior college. She has published 82 research papers in International / National Journals and four students awarded Ph.D. under her guidance. She has completed three Minor Research Projects and one Major Research Project ongoing funded by UGC. She is Managing Editor of the journal named "Vidarbha Journal of Science", which has ISSN: 0973-8932, Published by Mathematics Department. She is a member of Board of Studies for S.G.B. Amravati University, Amravati and got  "Fule-Ambedkar Research Award in 2005-06 given by the institute. She is Author of "Geometry Textbook for 10th class", published by Maharashtra State Education Board, Pune in 1995, implemented from 1995-2007 and Maharashtra State "Algebra Textbook for 10th Class", published by Education Board, Pune in 2006, implemented from 2007 onwards.

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