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
-
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.
-
Manipal Manual of Ear Mould Making
Manipal Manual of Ear Mould Making is a comprehensive workbook of value to students of Audiology & hearing professionals who wish to understand the nuances of this skill that is paramount for optimization of hearing aid fitting. This is a compilation of the authors? years of experience in the deft skills of ear mould making and patient care in Manipal Ear Mould lab. Considerable efforts have gone in to bringing out this manual by incorporating appropriate pictures, stepwise procedures and simple instructions. This manual, besides appraising the readers of the procedure would also assist them in learning the dos and donts picked up out of the authors? clinical experience. This will be a reflection of our ongoing efforts to derive the best out of the rapidly developing technology in the area of hearing impairment.
-
Geoffrey Bawa – A Conscious Perception
This book is all about giving the readers a peek view into the life of Geoffrey Bawa; Sri Lanka?s most famous architect. aA book that reveals an insight into his work through his most famous projects accompanied by beautiful hand-drawn illustrations. Alluring and simply authentic, these self-narrative illustrations are a result of personal experience. This book will give readers an understanding of how successfully Geoffrey Bawa had inculcated spaces, vistas, and landscape with that of the built environment bringing about a touch of Modern Tropism and fusing it together with the rich culture and traditions of Sri Lanka.
-
Internationalization of Higher Education: The Dynamics of Educational Ecology
Mobilities of scholars seeking knowledge has been a part of the university ideal for centuries. History holds testimony to the fact that these mobilities have also altered the lives of people in different regions. Universities have played pivotal role in the movement of people across borders and the resultant transformation of societies due to transcultural interactions. In this book, the editors have brought together ideas on the changing dynamics of these mobilities of scholars and interconnectedness of higher education institutions in today’s world. Attempt is also made to record the implications of these international collaborations in knowledge generation and dissemination of the educational ecology.
-
Parkinson’s Disease in India: From Clinic to Bench
The book fills a void in the knowledge about difference in Parkinson’s disease as seen India, if any from the rest of the world. It will provide a reference for any student of neurology wanting to learn the finer nuances of Parkinson’s disease in India. The book is written by Indian authors who have studied different aspects of Parkinson?s disease in depth, covering all aspects of Parkinson’s disease. The book is painstakingly drafted to cover all aspects of Parkinson’s disease from demography, etiology, clinical features (both motor and non-motor), complications, treatment modalities, its impact on the sufferer and the family and the financial aspect.
-
Performing Self/Performing Gender: Reading the lives of Women Performers in Colonial India
This book explores the shifting identity of the female performer in India, starting from the late 19th century to the early years of independence, through the study of autobiographies and memoirs. It attempts to make visible the actress figure by entering the history of performance, guided by the voice of the female performer. The discussion on performing woman in this book spans across the performing traditions of the tawaif, actresses in public theatre, early Indian film actresses, and actresses in the Indian People?s Theatre and the Prithvi Theatre. Sheetala Bhat is an actress and a writer from Sirsi, a small town in the Western Ghats of Karnataka. She holds an MA in English Literature from Manipal Centre for Philosophy and Humanities, Manipal University, Manipal. She worked with Chintana repertory, exploring the possibilities of theatre in education in government schools in Karnataka. She writes short stories and poetry in Kannada. Being a reclusive reader and an enthusiastic actress, she often finds herself rummaging and weaving in between the fields of theatre and Indian literature, with an emphasis on the gender concerns in these areas. Performing Self, Performing Gender: Reading the Lives of Women Performers in Colonial India is her first book.
-
Culture and Creativity: Selected Writings by N Manu Chakravarthy
Culture and Creativity is a collection of essays of N Manu Chakravarthy, a prominent culture critic known for his discourses on music, cinema, literature and several aspects of culture and philosophy. This book illustrates the intellectual and ethical perspectives that shape his discussions on wide range of issues. These discussions are reflective of the inspiration he draws from his father Prof G N Chakravarthy and his teachers Prof C D Narasimhaiah, Prof U R Ananthamurthy, and Prof B Damodara Rao. The ideas of Ivan Illich and Noam Chomsky, and his friend D R Nagaraj are also instrumental in framing the critical nature of his interpretations. The essays in this book encompass Prof Manu Chakravarthy?s perspectives on religion, secularism, tradition, and modernity. The references to Sri Narayanaguru, M K Gandhi, Rabindranath Tagore, and the interview with Gustavo Esteva, evince his preoccupation with madhyamamarga. They also foreground his views on nationalism, metaphysics, media, politics and the crises of the third world and India in a globalised context. This work is a testimony to the form of scholarship he values.
-
Transformation Beyond Sight
Transformation Beyond Sight is a gripping narrative of the author?s experience in the hospital administration of Kasturba Hospital (KH), Manipal. As an experiential account, the present book provides insights into the thoughts, concerns, and apprehensions of prospective hospital administrators, and spotlights the vital role played by a hospital administrator in the day-to-day operations of KH, which is also an advanced healthcare facility.This book draws attention to the transformational quality of the author?s experiences to emphasize that the evolution in leadership and management of the teaching hospital went hand-in-hand with the transformation of the author?s administrative skills, and his own persona as a diligent administrator. The biographical undertone also provides an insight into the complex and dynamic healthcare environment, alongside the competencies, creativity, and mindfulness necessary for an administrator. This book narrates a hospital administrator?s engagements with the traditional processes and his attempts to bring about effective changes in the management and monitoring of operations of KH and the overall management of a healthcare facility.