Bharatiya Bijaganita
₹895.00
ಪ್ರಾಚೀನ ಭಾರತೀಯ-ಬೀಜಗಣಿತದಲ್ಲಿ ಅನಿರ್ಣೀತ ಸಮೀಕರಣಗಳ ಕುರಿತ ವಿಶ್ಲೇಷಣೆಯು (Indeterminate-analysis) ವಿಶೇಷ ಗಮನಾರ್ಹವಾದ ಸಂಗತಿಯಾಗಿದೆ. ಏಕಘಾತೀಯ ಅನಿರ್ಣೀತ ಸಮೀಕರಣಗಳ ಪರಿಹಾರಕ್ಕೆ ಸಂಬAಧಿಸಿದ ವಿಷಯದ ವಿಶ್ಲೇಷಣೆಯನ್ನು ಭಾರತೀಯ-ಬೀಜಗಣಿತಜ್ಞರು ‘ಕುಟ್ಟಕ’ ಎಂಬ ಪಾರಿಭಾಷಿಕ ಪದದಿಂದ ಸೂಚಿಸಿದರೆ, ಅನಿರ್ಣೀತ ವರ್ಗಸಮೀಕರಣಗಳ ವಿಶ್ಲೇಷಣೆಯನ್ನು ‘ವರ್ಗಪ್ರಕೃತಿ’ ಎಂದು ಕರೆದಿದ್ದಾರೆ. ಎರಡೂ ವಿಷಯಗಳನ್ನು ವಿಶದವಾಗಿ ಚರ್ಚಿಸಿದೆ. ಚಿಹ್ನೆಗಳ-ಬಳಕೆ, ಅವ್ಯಕ್ತಗಳನ್ನು ಸೂಚಿಸುವುದಕ್ಕಾಗಿ ಬಳಸುವ ಅಕ್ಷರಸಂಕೇತಗಳು, ಸಮೀಕರಣಗಳು ಬೀಜಗಣಿತಶಾಸ್ತçದ ಮೂಲಾಧಾರಗಳಾಗಿವೆ. ಅವ್ಯಕ್ತಗಳನ್ನು ಸೂಚಿಸುವುದಕ್ಕಾಗಿ ಶಿಸ್ತುಬದ್ಧವಾಗಿ ಅಕ್ಷರಸಂಕೇತಗಳನ್ನು ಪ್ರಪ್ರಥಮವಾಗಿ ಬಳಸಿದವರು ಭಾರತೀಯರು. ವಿವಿಧ ಬಗೆಯ ಸಮೀಕರಣಗಳನ್ನು ವಿಭಿನ್ನ-ವರ್ಗಗಳಲ್ಲಿ ವಿಂಗಡಿಸಿ, ಅವುಗಳ ವಿಸ್ತöÈತ ಅಧ್ಯಯನವನ್ನು ಪ್ರಪ್ರಥಮವಾಗಿ ಕೈಗೊಂಡವರೂ ಅವರೇ ಆಗಿದ್ದಾರೆ. ಹಾಗಾಗಿ, ಬೀಜಗಣಿತವನ್ನು ಶಾಸ್ತçದ-ಸ್ವರೂಪದಲ್ಲಿ ಹುಟ್ಟುಹಾಕಿ ಮುನ್ನಡಿಸಿದವರೂ ಅವರೇ ಎಂದು ಹೇಳಬಹುದಾಗಿದೆ. ಪ್ರಸ್ತುತ ಕೃತಿಯು ಬೀಜಗಣಿತದ ಸಮೀಕರಣಗಳನ್ನು ಬಿಡಿಸುವುದಕ್ಕೆ ಅವಶ್ಯವಾಗಿರುವ ಪ್ರಕ್ರಿಯೆಗಳನ್ನು ಅಥವಾ ಪರಿಕರ್ಮಗಳನ್ನು ಅರ್ಥಾತ್ “ಬೀಜೋಪಯೋಗಿ-ಗಣಿತ”ವನ್ನು ಮತ್ತು ಬೀಜಗಣಿತೀಯ ಸಮೀಕರಣಗಳ ವಿಶ್ಲೇಷಣೆಯ ಕುರಿತು ಚರ್ಚೆ “ಬೀಜ” ಎರಡನ್ನೂ ಒಳಗೊಂಡಿದೆ. ಪ್ರಾಚೀನ ಆಚಾರ್ಯರು ನಿರೂಪಿಸಿರುವ ನಿಯಮಗಳಿಗೆ ಉಪಪತ್ತಿಯನ್ನು ಒದಗಿಸಿರುವುದು, ಮತ್ತು ಸ್ಪಷ್ಟೀಕರಣಕ್ಕಾಗಿ ಕೊಟ್ಟಿರುವ ಉದಾಹರಣೆ ಲೆಕ್ಕವನ್ನು ಆಯಾ ಗ್ರಂಥಕರ್ತನು ತಿಳಿಸಿರುವ ವಿಧಾನದನ್ವಯವೇ ಆಧುನಿಕ ಗಣಿತೀಯ-ಸಂಕೇತಗಳನ್ನು ಹಾಗೂ ಚಿಹ್ನೆಗಳನ್ನು ಬಳಸಿ ಪೂರ್ತಿಯಾಗಿ ಬಿಡಿಸಿ ತೋರಿಸಿರುವುದು ಈ ಕೃತಿಯ ವಿಶೇಷ ಮಹತ್ವದ ಸಂಗತಿಯಾಗಿವೆ. ಅಲ್ಲಲ್ಲಿ,
Out of stock
Categories: | Academic/Reference, General Interest, Popular Science |
---|
Author | |
---|---|
Format |
Related products
-
Educational Philosophy of Dr S Radhakrishnan
Educational Philosophy of Dr S Radhakrishnan effectively presents Radhakrishnan?s thoughts, highlighting their relevance to the present day. The author has at length discussed Indian Philosophy in comparison with the Western thought and successfully established that the East-West synthesis as propagated by Radhakrishnan is the need of the hour. The readers will also get an account of Radhakrishnan?s life story in the backdrop of the political history of pre and post-Independent India. This book is Dr V N Deshpande?s posthumous publication.
-
The Practice of Geopolitics
Intended to be a Practioner?s Guide to Geopolitics, the book provides a look into the thought processes that generate correct and timely analysis of global events. Geopolitics needs to weave within its analytical grasp economics, society, strategy and even culture, as the science deals with overall national capabilities as well as the mutal synergy and frictions between nations. Although a broad range of subjects has been covered in the book, each is anchored in the ground reality of events having a profound impact on the lives of citizens and on world events. The growing interconnectedness of the globe has resulted in a need to do away with the popular west centric models of international relations and to view events not through that single prism but from a holistic viewpoint that accepts the relevance and maturity of different histories and geographies. What the book provides is an alternativeWeltanschauung to the dominant models of geopolitical analysis, so that the science is enabled to cross beyond the narrow boundaries which have confined. The scope and applicability of its analysis. The rise of Asia needs a geopolitical vision unique to the continent, and this is what has been provided by Professor Nalapat.
-
A Concise Textbook of Drug Regulatory Affairs
This book has 12 chapters covering nearly all the areas of Drug Regulatory Affairs. Various aspects of Drug Regulatory Affairs such as new drug approval procedure, pharmacovigilance, product recall, evolution of drug regulations in the United States of America (USA) and process of drug approval in the USA and European Union, bioequivalence regulations, electronic Common Technical Documents (eCTD), environmental regulations, orphan drugs pharmaceutical pricing and control policy, Pharmacovigilance system in India and the USA, Product Recall, regulations of pharmaceutical drug promotion and Pharmacy Practice regulations are covered in this book. As a whole, the book is a comprehensive reference book on regulatory affairs and will be very useful for the practicing professionals and students alike.
-
Childhood Cancer
Childhood Cancer is a major medical problem in most of the societies of the modern world. Though enough literature is available on the subject, it is not easily intelligible to common people. An ordinary parent whose ward is affected by any form of childhood cancer would beat a loss without the basic information. This book is aimed at educating a non-professional who wishes to grasp the problem in detail and in a simple way. The book primarily deals with the signs and symptoms of cancer in children which enable early detection. It is written in a lucid manner to remove the myth among parents that diagnosis of cancer in children amounts to a death sentence. Many of the childhood cancers, if detected early, can be cured completely, and the patients can live the rest of their lives like any other normal people. The book is an attempt to create this awareness among parents through proper information about the disease. Further, the book would also serve as a manual for MBBS students and professionals in other fields for primary treatment and management of the childhood cancer patients.
Interested customers may write to us at mup@manipal.edu about purchasing the book.
Also available on
-
Lectures on Matrix and Graph Methods
Lectures on Matrix and Graph Methods Lectures on Matrix and Graph Methods portrays selected lectures delivered by leading Mathematicians and Statisticians in the International Workshop on Combinatorial Matrix Theory and Generalized Inverses of Matrices organized by Department of Statistics, Manipal University, Manipal, India, during January 2-7, 2012. This book covers the topics even beyond the traditional applications of matrix theory and spectral theory of graphs. Graph Theoretic Applications to Computing the Nucleolus of an Assignment Game by T E S Raghavan and Introduction to Yantra Magic Squares and Agrippa-type Magic Matrices by G P H Styan et al. are among those topics. Also, an interview with S K Mitra in 1993 by G P H Styan and Simo Puntanen is presented here.
Ravindra B Bapat, Steve Kirkland, K Manjunatha Prasad, Simo Puntanen Ravindra B Bapat is at the Indian Statistical Institute, Delhi Centre. His main areas of interest are combinatorial matrix theory, matrices and graphs, and generalized inverses. He is a Fellow of the Indian Academy of Sciences, Indian National Science Academy and a J C Bose Fellow. He served as the President of the Indian Mathematical Society during 2007-2008. Steve Kirkland is a Stokes Professor at the National University of Ireland Maynooth. His research interests include non-negative matrix theory, spectral graph theory, and combinatorial matrix theory. He is currently the Editor-in-chief of the journal ?Linear and Multilinear Algebra?, and the President of the International Linear Algebra Society. K Manjunatha Prasad earned his PhD from Indian Statistical Institute. Currently, he is a Professor of Mathematics at Department of Statistics, Manipal University, Manipal. His research interests are matrix theory, generalized inverse, ring theory and projective modules. Simo Puntanen earned his PhD in statistics from the University of Tampere (Finland) in 1987, where he is presently a Lecturer.
-
Linear Algebra with Applications
Linear Algebra with Applications portrays selected articles published earlier by Prof Ravindra B Bapat in various reputed journals. This volume published in honour of Prof Bapat, on the occasion of his 60th birthday, consists of his original research articles written in the area of (i) Permanent, Determinant and their applications, (ii) Non-negative Matrices, (iii) Matrix Methods in Statistics and Graph theory, and (iv) Generalized Inverses of a Matrix. Starting with an article A Generalization of a Theorem of Ky Fan on Simplicial Maps, his first article published in 1980, several articles probing the properties of permanent and determinant, characterization of generalized inverses, spectral properties of graphs, and applications of matrix methods in statistics are compiled in this volume. The articles selected in this book will certainly inspire the young linear algebraists and provide several matrix techniques to solve different problems in the area of applied linear algebra.
-
Ayurvedic Inheritance- A Reader’s Companion
In ancient India, learning spanned four quarters of one’s life. Learning was sought from the teacher, from one’s individual effort, from fellow students and in the last quarter, from the school of life itself. This book belongs to the third quarter for students of Ayurveda regardless of their background in medicine, science, or humanities. Apart from topics in the eight branches of Ayurveda, the book also deals with Ayurvedic Biology which seeks to study the concepts and procedures of Ayurveda with the tools of modern biology. M S Valiathan is a National Research Professor of the Government of India. He is a medical graduate from the University of Kerala and completed his postgraduate training in general surgery from the University of Liverpool and other hospitals in the UK. He did his specialisation in cardiac surgery from the Johns Hopkins and Georgetown University Hospitals in the US. He was a cardiac surgeon for over three decades. His shift to Ayurvedic studies resulted in the publication of three volumes on Caraka, Susruta and Vagbhata, and an Introduction to Ayurveda. The Department of Science and Technology set up a Task Force in Ayurvedic Biology under his chairmanship to promote research in the nascent discipline.
Interested readers may write to us at mup@manipal.edu about purchasing the book.
International Edition available on South Asia Edition available on
-
Legends of Travancore – A Numismatic Heritage
The Kingdom of Travancore in the Southern part of India was a native state in British India which was well known for its progressive outlook. Its enlightened royalty ruled the country as Sree Padmanabha Dasa. They had in place a well oiled administrative mechanism that implemented various programs and reforms, resulting in an overall development of Travancore. Though Travancore was under the colonial rulers, there was a well-orchestrated administrative machinery for coinage. Coins were minted as per the specifications ordered by the periodically issued Royal Proclamations. It is creditable that Travancore retained its independence in its functioning to a large extent. This book is an insight into the coins of Modern Travancore (from 1729 AD) which not only reflects the religious beliefs of the rulers, but also sketches the socio-political atmosphere of the period. Dr Joseph Thomas hailing from Thiruvananthapuram, is a Professor of Urology at Manipal University in India. His passion for collecting coins developed into a serious numismatic pursuit. His special area of interest is the study of the history of Venad and Travancore. His detailed study of the Travancore coins and the various related issues give an insight into the rich numismatic heritage of modern Travancore. He is a Life Member of the Philatelic and Numismatic Association of Thiruvananthapuram and a Life Member of the South Indian Numismatic Society, Chennai.