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Play with Graphs - Skills in Mathematics for JEE Main and Advanced by Amit M. Agarwal
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The Information: A History, a Theory, a Flood
James Gleick - 2011
The story of information begins in a time profoundly unlike our own, when every thought and utterance vanishes as soon as it is born. From the invention of scripts and alphabets to the long-misunderstood talking drums of Africa, Gleick tells the story of information technologies that changed the very nature of human consciousness. He provides portraits of the key figures contributing to the inexorable development of our modern understanding of information: Charles Babbage, the idiosyncratic inventor of the first great mechanical computer; Ada Byron, the brilliant and doomed daughter of the poet, who became the first true programmer; pivotal figures like Samuel Morse and Alan Turing; and Claude Shannon, the creator of information theory itself. And then the information age arrives. Citizens of this world become experts willy-nilly: aficionados of bits and bytes. And we sometimes feel we are drowning, swept by a deluge of signs and signals, news and images, blogs and tweets. The Information is the story of how we got here and where we are heading.
The Problem of the Rupee: Its Origin and Its Solution
B.R. Ambedkar - 1923
For instance, in treating of the actual working of the exchange standard, I have contented myself with a general treatment just sufficiently detailed to enable the reader to follow the criticism I have offered. If more details are desired they are given in all their amplitude in other treatises. To have reproduced them would have been a work of supererogation; besides it would have only obscured the general trend of my argument. But in other respects, I have been obliged to take a wider historical sweep than has been done by other writers. The existing treatises on Indian currency do not give any idea, at least an adequate idea, of the circumstances which led to the reforms of 1893. I think that a treatment of the early history is quite essential to furnish the reader with a perspective in order to enable him to judge for himself the issues involved in the currency crisis and also of the solutions offered. In view of this, I have gone into that most neglected period of Indian currency extending from 1800 to 1893. Not only have other writers begun abruptly the story of the exchange standard, but they have popularised the notion that the exchange standard is the standard originally contemplated by the Government of India. I find that this is a gross error. Indeed, the most interesting point about Indian currency is the way in which the gold standard came to be transformed into a gold exchange standard. Some old, but by now forgotten, facts had therefore, to be recounted to expose this error.
A text book of Engineering Chemistry
Shashi Chawla - 2001
The book covers the syllabus for Engineering chemistry course offered to first year B.E/B.Tech students of various India University
Principles of Mathematical Analysis
Walter Rudin - 1964
The text begins with a discussion of the real number system as a complete ordered field. (Dedekind's construction is now treated in an appendix to Chapter I.) The topological background needed for the development of convergence, continuity, differentiation and integration is provided in Chapter 2. There is a new section on the gamma function, and many new and interesting exercises are included. This text is part of the Walter Rudin Student Series in Advanced Mathematics.
English Conversation Practice
Grant Taylor - 1976
The text is divided into two main parts: Part 1 contains conversations based on common daily situations, while Part 2 emphasizes particular structural or lexical features of the language. This book contains a large number of exercises designed in a programmed fashion; all the words or sentences are presented at the left of the page and the expected responses are given at the right. The book is ideal for home study and would be extremely useful to all those interested in improving their conversational skills.
ബാല്യകാലസഖി | Balyakalasakhi
Vaikom Muhammad Basheer - 1944
Majeed's father was rich once, so could send him to a school in the distant town, although he was not very good at studies. Suhra's father on the other hand had trouble making both ends meet. Even then he wanted to send his daughter, who was good at studies to the school. But after her father's death, all her hopes of further studies was ruined. Majeed begs his father to sponsor Suhra's education, but he refuses. Majeed leaves home after a skirmish with his father, and wanders over distant lands for a long time before returning home. On his return, he finds that his family's former affluence is all gone, and that his beloved Suhra has married someone else. He is grief struck at the loss of love, and this is when Suhra turns up at his home. She is a shadow of her former self. The beautiful, sunshiny, vibrant Suhra of old is now a woman worn out by life, battered hard by a loveless marriage to an abusive husband. Majeed commands her, "Suhra, don't go back!" and she stays.
Problems in Mathematics with Hints and Solutions
V. Govorov - 1996
Theory has been provided in points between each chapter for clarifying relevant basic concepts. The book consist four parts algebra and trigonometry, fundamentals of analysis, geometry and vector algebra and the problems and questions set during oral examinations. Each chapter consist topic wise problems. Sample examples are provided after each text for understanding the topic well. The fourth part "oral examination problems and question" includes samples suggested by the higher schools for the help of students. Answers and hints are given at the end of the book for understanding the concept well. About the Book: Problems in Mathematics with Hints and Solutions Contents: Preface Part 1. Algebra, Trigonometry and Elementary Functions Problems on Integers. Criteria for Divisibility Real Number, Transformation of Algebraic Expressions Mathematical Induction. Elements of Combinatorics. BinomialTheorem Equations and Inequalities of the First and the SecondDegree Equations of Higher Degrees, Rational Inequalities Irrational Equations and Inequalities Systems of Equations and Inequalities The Domain of Definition and the Range of a Function Exponential and Logarithmic Equations and Inequalities Transformations of Trigonometric Expressions. InverseTrigonometric Functions Solutions of Trigonometric Equations, Inequalities and Systemsof Equations Progressions Solutions of Problems on Derivation of Equations Complex Numbers Part 2. Fundamentals of Mathematical Analysis Sequences and Their Limits. An Infinitely Decreasing GeometricProgression. Limits of Functions The Derivative. Investigating the Behaviors of Functions withthe Aid of the Derivative Graphs of Functions The Antiderivative. The Integral. The Area of a CurvilinearTrapezoid Part 3. Geometry and Vector Algebra Vector Algebra Plane Geometry. Problems on Proof Plane Geometry. Construction Problems Plane Geometry. C
Sync: The Emerging Science of Spontaneous Order
Steven H. Strogatz - 2003
Along the tidal rivers of Malaysia, thousands of fireflies congregate and flash in unison; the moon spins in perfect resonance with its orbit around the earth; our hearts depend on the synchronous firing of ten thousand pacemaker cells. While the forces that synchronize the flashing of fireflies may seem to have nothing to do with our heart cells, there is in fact a deep connection. Synchrony is a science in its infancy, and Strogatz is a pioneer in this new frontier in which mathematicians and physicists attempt to pinpoint just how spontaneous order emerges from chaos. From underground caves in Texas where a French scientist spent six months alone tracking his sleep-wake cycle, to the home of a Dutch physicist who in 1665 discovered two of his pendulum clocks swinging in perfect time, this fascinating book spans disciplines, continents, and centuries. Engagingly written for readers of books such as Chaos and The Elegant Universe, Sync is a tour-de-force of nonfiction writing.
The Universe and the Teacup: The Mathematics of Truth and Beauty
K.C. Cole - 1998
In The Universe and the Teacup, K. C. Cole demystifies mathematics and shows us-with humor and wonderfully accessible stories-why math need not be frightening. Using the O. J. Simpson trial, the bell curve, and Emmy Noether, the nineteenth-century woman scientist whose work was essential for Einstein's theory of relativity, Cole helps us see that more than just being a tool, math is a key to understanding the beauty of everything from rainbows to relativity.
Differential Equations
Richard Bronson - 2010
This supplement will cater to the requirements of students by covering all important topics of Laplace transformation, Matrices, Numerical Methods. Further enhanced is its usability by inclusion of chapter end questions in sync with student needs. Table of contents: 1. Basic Concepts 2. An Introduction to Modeling and Qualitative Methods 3. Classification of First-Order Differential Equations 4. Separable First-Order Differential Equations 5. Exact First-order Differential Equations 6. Linear First-Order Differential Equations 7. Applications of First-Order Differential Equations 8. Linear Differential Equations: Theory of Solutions 9. Second-Order Linear Homogeneous Differential Equations with Constant Coefficients 10. nth-Order Linear Homogeneous Differential Equations with Constant Coefficients 11. The Method of Undetermined Coefficients 12. Variation of Parameters 13. Initial-Value Problems for Linear Differential Equations 14. Applications of Second-Order Linear Differential Equations 15. Matrices 16. eAt 17. Reduction of Linear Differential Equations to a System of First-Order Equations 18. Existence and Uniqueness of Solutions 19. Graphical and Numerical Methods for Solving First-Order Differential Equations 20. Further Numerical Methods for Solving First-Order Differential Equations 21. Numerical Methods for Solving Second-Order Differential Equations Via Systems 22. The Laplace Transform 23. Inverse Laplace Transforms 24. Convolutions and the Unit Step Function 25. Solutions of Linear Differential Equations with Constant Coefficients by Laplace Transforms 26. Solutions of Linear?Systems by Laplace Transforms 27. Solutions of Linear Differential Equations with Constant Coefficients by Matrix Methods 28. Power Series Solutions of Linear Differential Equations with Variable Coefficients 29. Special Functions 30. Series Solutions N
Word Power Made Easy
Norman Lewis - 1949
As you complete the exercises in this book, you will learn how to tell if you’re using the right word as well as how to pronounce and spell it. You will also learn how to avoid illiterate expressions and how to speak grammatically, without making embarrassing mistakes.A complete handbook for building a superior vocabulary, Word Power Made Easy will teach you how to speak and write with confidence as well as how to read more effectively and efficiently. It will help you to learn more quickly, develop social contacts, and increase your earning power.Each chapter ends with review. Each section ends with a progressive check. Numerous tests will help you increase and retain the knowledge you acquired. Word Power Made Easy does more than just add words to your vocabulary; it teaches ideas and a method of broadening knowledge as an integral part of the vocabulary building process.
Complexity: A Guided Tour
Melanie Mitchell - 2009
Based on her work at the Santa Fe Institute and drawing on its interdisciplinary strategies, Mitchell brings clarity to the workings of complexity across a broad range of biological, technological, and social phenomena, seeking out the general principles or laws that apply to all of them. Richly illustrated, Complexity: A Guided Tour--winner of the 2010 Phi Beta Kappa Book Award in Science--offers a wide-ranging overview of the ideas underlying complex systems science, the current research at the forefront of this field, and the prospects for its contribution to solving some of the most important scientific questions of our time.