Download or read book Ecological Awareness Reflected in the Atharvaveda written by Niranjan Jena and published by Spotlight Poets. This book was released on 2002 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contents: Vol. I: I. Numeral notation: 1. A glimpse of ancient India. 2. Hindus and mathematics. 3. Scope and development of Hindu mathematics. 4. Numeral terminology. 5. The development of numerical symbolism. 6. Kharosthi numerals. 7. Brahmi numerals. 8. The decimal place-value system. 9. Persistence of the old system. 10. World numerals. 11. Alphabetic notations. 12. The zero symbol. 13. The place-value notation in Hindu literature. 14. Date of invention of the place-value notation. 15. Hindu numerals in Arabia. 16. Hindu numerals in Europe. 17. Miscellaneous references to the Hindu numerals. 18. Tables. II. Arithmetic: 1. General survey. 2. Addition. 3. Subtraction. 4. Multiplication. 5. Division. 6. Square. 7. Cube. 8. Square-root. 9. Cube-root. 10. Checks on operations. 11. Fractions. 12. The rule of three. 13. Commercial problems. 14. Miscellaneous problems. 15. The mathematics of zero. Bibliography. Index. Vol. II: III. Algebra: 1. General features. 2. Technical terms. 3. Symbols. 4. Laws and signs. 5. Fundamental operations. 6. Equations. 7. Linear equations in one unknown. 8. Linear equations with two unknowns. 9. Linear equations with several unknowns. 10. Quadratic equations. 11. Equations of higher degrees. 12. Simultaneous quadratic equations. 13. Indeterminate equations of the first degree. 14. One linear equation in more than two unknowns. 15. Simultaneous indeterminate equations of the first degree. 16. Solution of Nx+1=y. 17. Cyclic method. 18. Solution of Nxc=y. 19. General indeterminate equations of the second degree: single equations. 20. Rational triangles. 21. Rational quadrilaterals. 22. Single indeterminate equations of higher degrees. 23. Linear functions made squares or cubes. 24. Double equations of the first degree. 25. Double equations of the second degree. 26. Double equations of higher degrees. 27. Multiple equations. 28. Solutions of axy=bx+cy+d. Index. This book at present to historians of mathematics regarding achievements of the early Hindu mathematicians and our indebtedness to them. Our object in writing the present book has been to make up for this deficiency by giving a comprehensive account of the growth and development of the science of mathematics in India from the earliest known times down to the seventeenth century of the Christian era. It has been decided to publish the book in two vols. The first vol. deals with the history of the numeral notations and of arithmetic. The second vol. is devoted to algebra, a science in which the ancient Hindus made remarkable progress.

Download or read book A Short Account of the History of Mathematics written by Walter William Rouse Ball and published by . This book was released on 1908 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book History of Mathematics written by Florian Cajori and published by American Mathematical Society. This book was released on 2022-05-02 with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originally issued in 1893, this popular Fifth Edition (1991) covers the period from antiquity to the close of World War I, with major emphasis on advanced mathematics and, in particular, the advanced mathematics of the nineteenth and early twentieth centuries. In one concise volume this unique book presents an interesting and reliable account of mathematics history for those who cannot devote themselves to an intensive study. The book is a must for personal and departmental libraries alike. Cajori has mastered the art of incorporating an enormous amount of specific detail into a smooth-flowing narrative. The Index—for example—contains not just the 300 to 400 names one would expect to find, but over 1,600. And, for example, one will not only find John Pell, but will learn who he was and some specifics of what he did (and that the Pell equation was named erroneously after him). In addition, one will come across Anna J. Pell and learn of her work on biorthogonal systems; one will find not only H. Lebesgue but the not unimportant (even if not major) V.A. Lebesgue. Of the Bernoullis one will find not three or four but all eight. One will find R. Sturm as well as C. Sturm; M. Ricci as well as G. Ricci; V. Riccati as well as J.F. Riccati; Wolfgang Bolyai as well as J. Bolyai; the mathematician Martin Ohm as well as the physicist G.S. Ohm; M. Riesz as well as F. Riesz; H.G. Grassmann as well as H. Grassmann; H.P. Babbage who continued the work of his father C. Babbage; R. Fuchs as well as the more famous L. Fuchs; A. Quetelet as well as L.A.J. Quetelet; P.M. Hahn and Hans Hahn; E. Blaschke and W. Blaschke; J. Picard as well as the more famous C.E. Picard; B. Pascal (of course) and also Ernesto Pascal and Etienne Pascal; and the historically important V.J. Bouniakovski and W.A. Steklov, seldom mentioned at the time outside the Soviet literature.

Download or read book written by Muḥammad ibn Mūsá Khuwārizmī and published by . This book was released on 1831 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Mathematical Thought from Ancient to Modern Times Volume 1 written by Morris Kline and published by Oxford University Press. This book was released on 1990-08-16 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: Traces the development of mathematics from its beginnings in Babylonia and ancient Egypt to the work of Riemann and Godel in modern times.

Download or read book Algebra written by John Tabak and published by Infobase Publishing. This book was released on 2014-05-14 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algebra developed independently in several places around the world, with Hindu, Greek, and Arabic ideas and problems arising at different points in history.

Download or read book Historical Encyclopedia of Natural and Mathematical Sciences written by Ari Ben-Menahem and published by Springer Science & Business Media. This book was released on 2009-03-06 with total page 6070 pages. Available in PDF, EPUB and Kindle. Book excerpt: This 5,800-page encyclopedia surveys 100 generations of great thinkers, offering more than 2,000 detailed biographies of scientists, engineers, explorers and inventors who left their mark on the history of science and technology. This six-volume masterwork also includes 380 articles summarizing the time-line of ideas in the leading fields of science, technology, mathematics and philosophy.

Download or read book Hindu Achievements in Exact Science written by Benoy Kumar Sarkar and published by . This book was released on 1918 with total page 110 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Mathematical Circles Volume I In Mathematical Circles Quadrants I II III IV written by Howard W. Eves and published by American Mathematical Soc.. This book was released on 2020-08-03 with total page 145 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book A Journey through the History of Numerical Linear Algebra written by Claude Brezinski and published by SIAM. This book was released on 2022-12-06 with total page 813 pages. Available in PDF, EPUB and Kindle. Book excerpt: This expansive volume describes the history of numerical methods proposed for solving linear algebra problems, from antiquity to the present day. The authors focus on methods for linear systems of equations and eigenvalue problems and describe the interplay between numerical methods and the computing tools available at the time. The second part of the book consists of 78 biographies of important contributors to the field. A Journey through the History of Numerical Linear Algebra will be of special interest to applied mathematicians, especially researchers in numerical linear algebra, people involved in scientific computing, and historians of mathematics.

Download or read book The History of Mathematics written by Roger L. Cooke and published by John Wiley & Sons. This book was released on 2012-11-08 with total page 593 pages. Available in PDF, EPUB and Kindle. Book excerpt: Praise for the Second Edition "An amazing assemblage of worldwide contributions in mathematics and, in addition to use as a course book, a valuable resource . . . essential." —CHOICE This Third Edition of The History of Mathematics examines the elementary arithmetic, geometry, and algebra of numerous cultures, tracing their usage from Mesopotamia, Egypt, Greece, India, China, and Japan all the way to Europe during the Medieval and Renaissance periods where calculus was developed. Aimed primarily at undergraduate students studying the history of mathematics for science, engineering, and secondary education, the book focuses on three main ideas: the facts of who, what, when, and where major advances in mathematics took place; the type of mathematics involved at the time; and the integration of this information into a coherent picture of the development of mathematics. In addition, the book features carefully designed problems that guide readers to a fuller understanding of the relevant mathematics and its social and historical context. Chapter-end exercises, numerous photographs, and a listing of related websites are also included for readers who wish to pursue a specialized topic in more depth. Additional features of The History of Mathematics, Third Edition include: Material arranged in a chronological and cultural context Specific parts of the history of mathematics presented as individual lessons New and revised exercises ranging between technical, factual, and integrative Individual PowerPoint presentations for each chapter and a bank of homework and test questions (in addition to the exercises in the book) An emphasis on geography, culture, and mathematics In addition to being an ideal coursebook for undergraduate students, the book also serves as a fascinating reference for mathematically inclined individuals who are interested in learning about the history of mathematics.

Download or read book A History of Algebra written by Bartel L. van der Waerden and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 279 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Fleeting Footsteps Tracing The Conception Of Arithmetic And Algebra In Ancient China Revised Edition written by Tian Se Ang and published by World Scientific. This book was released on 2004-04-06 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Hindu-Arabic numeral system (1, 2, 3,…) is one of mankind's greatest achievements and one of its most commonly used inventions. How did it originate? Those who have written about the numeral system have hypothesized that it originated in India; however, there is little evidence to support this claim.This book provides considerable evidence to show that the Hindu-Arabic numeral system, despite its commonly accepted name, has its origins in the Chinese rod numeral system. This system was widely used in China from antiquity till the 16th century. It was used by officials, astronomers, traders and others to perform addition, subtraction, multiplication, division and other arithmetic operations, and also used by mathematicians to develop arithmetic and algebra. Based on this system, numerous mathematical treatises were written.Sun Zi suanjing (The Mathematical Classic of Sun Zi), written around 400 AD, is the earliest existing work to have a description of the rod numerals and their operations. With this treatise as a central reference, the first part of the book discusses the development of arithmetic and the beginnings of algebra in ancient China and, on the basis of this knowledge, advances the thesis that the Hindu-Arabic numeral system has its origins in the rod numeral system. Part Two gives a complete translation of Sun Zi suanjing.In this revised edition, Lam Lay Yong has included an edited text of her plenary lecture entitled “Ancient Chinese Mathematics and Its Influence on World Mathematics”, which was delivered at the International Congress of Mathematicians, Beijing 2002, after she received the prestigious Kenneth O. May Medal conferred by the International Commission on the History of Mathematics. This should serve as a useful and easy-to-comprehend introduction to the book.

Download or read book Algebra written by Brahmagupta and published by . This book was released on 1817 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Studies in Indian Mathematics and Astronomy written by Aditya Kolachana and published by Springer. This book was released on 2019-05-29 with total page 742 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents a collection of some of the seminal articles of Professor K. S. Shukla who made immense contributions to our understanding of the history and development of mathematics and astronomy in India. It consists of six parts: Part I constitutes introductory articles which give an overview of the life and work of Prof. Shukla, including details of his publications, reminiscences from his former students, and an analysis of his monumental contributions. Part II is a collection of important articles penned by Prof. Shukla related to various aspects of Indian mathematics. Part III consists of articles by Bibhutibhusan Datta and Avadhesh Narayan Singh—which together constitute the third unpublished part of their History of Hindu Mathematics—that were revised and updated by Prof. Shukla. Parts IV and V consist of a number of important articles of Prof. Shukla on different aspects of Indian astronomy. Part VI includes some important reviews authored by him and a few reviews of his work. Given the sheer range and depth of Prof. Shukla’s scholarship, this volume is essential reading for scholars seeking to deepen their understanding of the rich and varied contributions made by Indian mathematicians and astronomers.

Download or read book Hindu Superiority written by Har Bilas Sarda (Diwan Bahadur) and published by . This book was released on 1906 with total page 506 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book The Hindu History written by Akshoy Kumar Mazumdar and published by . This book was released on 1920 with total page 896 pages. Available in PDF, EPUB and Kindle. Book excerpt: