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The Foundations of Mathematics by Thomas Q. Sibley
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Vitamin H
Abhishek Vipul Thakkar - 2020
It aims to elevate the lives of people by fostering inner confidence and strengthening their faith. In a turbulent and chaotic world, people are in dire need of words of motivation and inspiration. Vitamin H provides the much needed therapy which will successfully cure the diseases such as negativity, pessimism, cynicism and envy. It will awaken the dreamer within you and help you achieve the seemingly impossible.
Higher Engineering Mathematics
B.V. Ramana - 2006
Plethora of Solved examples help the students know the variety of problems & Procedure to solve them. Plenty of practice problems facilitate testing their understanding of the subject. Key Features: Covers the syllabus of all the four papers of Engineering Mathematics Detailed coverage of topics with lot of solved examples rendering clear understanding to the students. Engineering Applications of Integral Calculus, Ordinary Differential Equations of First and Higher Order, & Partial Differential Equations illustrate the use of these methods. Chapters on preliminary topics like Analytical Solid Geometry Matrices and Determinants Sequence and Series Complex Numbers Vector Algebra Differential and Integral Calculus Extensive coverage of Probability and Statistics (5 chapters). Covers the syllabus of all the four papers of Engineering Mathematics Engineering Applications of Integral Calculus, Ordinary Differential Equations of First and Higher Order, & Partial Differential Equations illustrate the use of these methods. Extensive coverage of ?Probability and Statistics (5 chapters) Table of Content: PART I PRELIMI NARIES Chapter 1 Vector Algebra , Theory of Equations ,Complex Numbers PART II DIFFERENTIAL AND INTEGRAL CALCULUS
Game Theory: A Nontechnical Introduction
Morton D. Davis - 1970
. . a most valuable contribution." — Douglas R. Hofstadter, author of Gödel, Escher, BachThe foundations of game theory were laid by John von Neumann, who in 1928 proved the basic minimax theorem, and with the 1944 publication of the Theory of Games and Economic Behavior, the field was established. Since then, game theory has become an enormously important discipline because of its novel mathematical properties and its many applications to social, economic, and political problems.Game theory has been used to make investment decisions, pick jurors, commit tanks to battle, allocate business expenses equitably — even to measure a senator's power, among many other uses. In this revised edition of his highly regarded work, Morton Davis begins with an overview of game theory, then discusses the two-person zero-sum game with equilibrium points; the general, two-person zero-sum game; utility theory; the two-person, non-zero-sum game; and the n-person game.A number of problems are posed at the start of each chapter and readers are given a chance to solve them before moving on. (Unlike most mathematical problems, many problems in game theory are easily understood by the lay reader.) At the end of the chapter, where solutions are discussed, readers can compare their "common sense" solutions with those of the author. Brimming with applications to an enormous variety of everyday situations, this book offers readers a fascinating, accessible introduction to one of the most fruitful and interesting intellectual systems of our time.
Proofs and Refutations: The Logic of Mathematical Discovery
Imre Lakatos - 1976
Much of the book takes the form of a discussion between a teacher and his students. They propose various solutions to some mathematical problems and investigate the strengths and weaknesses of these solutions. Their discussion (which mirrors certain real developments in the history of mathematics) raises some philosophical problems and some problems about the nature of mathematical discovery or creativity. Imre Lakatos is concerned throughout to combat the classical picture of mathematical development as a steady accumulation of established truths. He shows that mathematics grows instead through a richer, more dramatic process of the successive improvement of creative hypotheses by attempts to 'prove' them and by criticism of these attempts: the logic of proofs and refutations.
Introduction to Logic: and to the Methodology of Deductive Sciences
Alfred Tarski - 1993
According to the author, these trends sought to create a unified conceptual apparatus as a common basis for the whole of human knowledge.Because these new developments in logical thought tended to perfect and sharpen the deductive method, an indispensable tool in many fields for deriving conclusions from accepted assumptions, the author decided to widen the scope of the work. In subsequent editions he revised the book to make it also a text on which to base an elementary college course in logic and the methodology of deductive sciences. It is this revised edition that is reprinted here.Part One deals with elements of logic and the deductive method, including the use of variables, sentential calculus, theory of identity, theory of classes, theory of relations and the deductive method. The Second Part covers applications of logic and methodology in constructing mathematical theories, including laws of order for numbers, laws of addition and subtraction, methodological considerations on the constructed theory, foundations of arithmetic of real numbers, and more. The author has provided numerous exercises to help students assimilate the material, which not only provides a stimulating and thought-provoking introduction to the fundamentals of logical thought, but is the perfect adjunct to courses in logic and the foundation of mathematics.
104 Number Theory Problems: From the Training of the USA IMO Team
Titu Andreescu - 2006
Offering inspiration and intellectual delight, the problems throughout the book encourage students to express their ideas in writing to explain how they conceive problems, what conjectures they make, and what conclusions they reach. Applying specific techniques and strategies, readers will acquire a solid understanding of the fundamental concepts and ideas of number theory.
How Math Explains the World: A Guide to the Power of Numbers, from Car Repair to Modern Physics
James D. Stein - 2008
In the four main sections of the book, Stein tells the stories of the mathematical thinkers who discerned some of the most fundamental aspects of our universe. From their successes and failures, delusions, and even duels, the trajectories of their innovations—and their impact on society—are traced in this fascinating narrative. Quantum mechanics, space-time, chaos theory and the workings of complex systems, and the impossibility of a "perfect" democracy are all here. Stein's book is both mind-bending and practical, as he explains the best way for a salesman to plan a trip, examines why any thought you could have is imbedded in the number π , and—perhaps most importantly—answers one of the modern world's toughest questions: why the garage can never get your car repaired on time.Friendly, entertaining, and fun, How Math Explains the World is the first book by one of California's most popular math teachers, a veteran of both "math for poets" and Princeton's Institute for Advanced Studies. And it's perfect for any reader wanting to know how math makes both science and the world tick.
Game Theory. Analysis of conflict
Roger B. Myerson - 1991
Myerson introduces, clarifies, and synthesizes the extraordinary advances made in the subject over the past fifteen years, presents an overview of decision theory, and comprehensively reviews the development of the fundamental models: games in extensive form and strategic form, and Bayesian games with incomplete information.Game Theory will be useful for students at the graduate level in economics, political science, operations research, and applied mathematics. Everyone who uses game theory in research will find this book essential.
KLB Mathematics: SHS; Form 1
Kenya Literature Bureau - 2013
Worldreader addresses that problem using e-reader technology. Worldreader works with textbook publishers across the developing world to offer a range of digital textbooks to schools as part of their wider goal to promote literacy by bringing books to all.
Quotes To Enrich Life & Spirit - From Buddha through Gandhi to Zen
Anthony Morganti - 2011
The book has two main sections with the first having the quotes divided by their topic such as Love, Happiness, Anger, etc. The second part of the book has specific quotes from Buddha, Gandhi, Mother Teresa, the Dalai Lama, Lao Tzu and Zen Quotations.
Wisely Stupid
Zeeshan Najafi - 2013
In spite of seeming completeness, he suffered from inner chaos and restlessness which resulted in constant panic attacks. And suddenly everything stopped and he was helpless. He recognizes his incurable illness and decides to end his life but fortunately he fails before the attempt. But, his destiny unfolds a rare experience and he sees things which he thought did not exist. He leaves everything that he possessed behind and sets off on a random journey. Jako travels and experiences things which were beyond his imagination. He meets people who deceive and delude him, though he travelled to find answers, Jako returns home with treachery and delusion. On his way back, Jako reaches a small town with an isolated beach. He stays there meets a mysterious traveler; at first, Jako was confused to consider this man as a guardian angel or a mentalist. But as time passes they get along and this mysterious man solves all the riddles that surround Jako. They both sit at the beach and discuss life, Destiny, Freewill, Dreams, Dejavu's, Reality, Hypocrisy, Philosophy, Pleasure, God, Beauty, Love, Infatuation, Psychology, Wisdom, Intellect, Happiness, Boredom. Jako throws strange questions at this man and he answers them with wise stories. Jako answers all his questions by himself. Jako finishes his remarkable journey and returns home rehabilitated. P.S. : Kindly write a few words/lines review about this book. It will inspire others to read it.
A Week With Enya: We live blind...
Amar B. Singh - 2019
Where we don't, we read, we ask, we learn and then, we solve! What happens when there are no answers though? When nobody in the world knows! When we see the need to invent Gods even if we can't discover Him. Through a string of poems, the author narrates such an experience with his non-verbal and autistic daughter, Enya. What started as a week of babysitting for him soon became a seeking to change her into 'normal'. But, that seeking ended up transforming the seeker!The narrative in the form of poetry touches upon the revelation that comes out of desperation of not finding an answer at all and therefore, the thoughts getting tired of themselves and the mind taking a back seat. In that silence, the author says, things become clear and all aspects of life show their inter-relation! The intellect gives way to the intelligence, the body and mind as 'me' gives way to the world as 'me'! The mind map once seen, one starts to see the true nature of the 'me' and that perspective and clarity make everything clear and possible in life...
Everything and More: A Compact History of Infinity
David Foster Wallace - 2003
Now he brings his considerable talents to the history of one of math's most enduring puzzles: the seemingly paradoxical nature of infinity.Is infinity a valid mathematical property or a meaningless abstraction? The nineteenth-century mathematical genius Georg Cantor's answer to this question not only surprised him but also shook the very foundations upon which math had been built. Cantor's counterintuitive discovery of a progression of larger and larger infinities created controversy in his time and may have hastened his mental breakdown, but it also helped lead to the development of set theory, analytic philosophy, and even computer technology.Smart, challenging, and thoroughly rewarding, Wallace's tour de force brings immediate and high-profile recognition to the bizarre and fascinating world of higher mathematics.
The Calculus 7
Louis Leithold - 1995
The author has sought to utlilize the technology now available for the teaching and learning of calculus. The hand-held graphics calculator is one such form of technology that has been integrated into the book. Topics in algebra, trigonometry, and analytical geometry appear in the Appendix.