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Book Synopsis The Problem of the Earth's Shape from Newton to Clairaut by : John L. Greenberg
Download or read book The Problem of the Earth's Shape from Newton to Clairaut written by John L. Greenberg and published by Cambridge University Press. This book was released on 1995-07-28 with total page 808 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book investigates, through the problem of the earth's shape, part of the development of post-Newtonian mechanics by the Parisian scientific community during the first half of the eighteenth century. In the Principia Newton first raised the question of the earth's shape. John Greenberg shows how continental scholars outside France influenced efforts in Paris to solve the problem, and he also demonstrates that Parisian scholars, including Bouguer and Fontaine, did work that Alexis-Claude Clairaut used in developing his mature theory of the earth's shape. The evolution of Parisian mechanics proved not to be the replacement of a Cartesian paradigm by a Newtonian one, a replacement that might be expected from Thomas Kuhn's formulations about scientific revolutions, but a complex process instead involving many areas of research and contributions of different kinds from the entire scientific world. Greenberg both explores the myriad of technical problems that underlie the historical development of part of post-Newtonian mechanics, which have only been rarely analyzed by Western scholars, and embeds his technical discussion in a framework that involves social and institutional history politics, and biography. Instead of focusing exclusively on the historiographical problem, Greenberg shows as well that international scientific communication was as much a vital part of the scientific progress of individual nations during the first half of the eighteenth century as it is today.
Book Synopsis Problems and Solutions in Euclidean Geometry by : M. N. Aref
Download or read book Problems and Solutions in Euclidean Geometry written by M. N. Aref and published by Courier Corporation. This book was released on 2010-01-01 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on classical principles, this book is intended for a second course in Euclidean geometry and can be used as a refresher. Each chapter covers a different aspect of Euclidean geometry, lists relevant theorems and corollaries, and states and proves many propositions. Includes more than 200 problems, hints, and solutions. 1968 edition.
Book Synopsis Cambridge IGCSE® Mathematics Extended Problem Solving Book by : Karen Morrison
Download or read book Cambridge IGCSE® Mathematics Extended Problem Solving Book written by Karen Morrison and published by Cambridge University Press. This book was released on 2017-03-23 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: Revised edition of the IGCSE Mathematics Core and Extended Coursebook for the 0580 syllabus for examination from 2015. The Cambridge IGCSE® Mathematics Extended Problem-solving Book delivers a range of problems with fully worked solutions that develop students' mathematical thought. The resource gives students the opportunity to practise the range of mathematics skills covered in the Cambridge IGCSE Mathematics (0580) syllabus. The questions in the book encourage students to think widely about how to apply their knowledge to a broad range of tasks and problems. These help develop mathematical logic and key skills, such as reasoning, interpreting, estimating and communicating mathematically.
Book Synopsis Making Sense of Word Problems by : Eric de Corte
Download or read book Making Sense of Word Problems written by Eric de Corte and published by CRC Press. This book was released on 2000-01-01 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: Word problems have been a staple of mathematics instruction for centuries, yet the rationale for their use has remained largely unexamined. A range of findings have shown how students consistently answer them in ways that fail to take account of the reality of the situations described. This monograph reports on studies carried out to investigate this "suspension of sense-making" in answering word problems. In Part One, a wide range of examples documenting the strength of the phenomenon is reviewed. Initial surprise at the findings was replaced by a conviction that the explanation lies in the culture of the mathematics classroom, specifically the rules implicitly governing the nature and interpretation of the word problem genre. This theoretical shift is reflected in Part Two. A detailed analysis of the way in which word problems are currently taught in typical mathematical classrooms is followed by reviews of design experiments illustrating how, by immersing students in a fundamentally changed learning environment, they can acquire what the authors consider to be more appropriate conceptions about, and strategies for doing, word problems. Part Three turns to a wider discussion of theoretical issues, a further analysis of the features of the educational system considered responsible for outcomes detrimental to many students' understanding and conception of mathematics, and suggestions for rethinking the role of word problems within the curriculum.
Book Synopsis Challenging Problem in Physics For JEE Advanced by : Career Point Kota
Download or read book Challenging Problem in Physics For JEE Advanced written by Career Point Kota and published by Career Point Publication. This book was released on 2020-09-16 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: The primary objective of this book is to help students develop command over fundamentals and their application through challenging questions. In this book, only those problems have been selected, which in the opinion of Career Point Faculty team, are most important for mastering application of concepts. This book covers a variety of questions asked in the IIT JEE examination ~ be it MCQ (One or More than One correct choice), Numeric Response Type, Matrix match type, paragraph based questions etc. A mix of questions helps stimulate and strengthen question-solving skills of the student. The majority of questions are not easy; some of them are definitely difficult. We believe if you solve these questions on your own, you will achieve a higher degree of understanding of concepts. We would like to suggest that you should attempt this book only after you complete a chapter. This book is also used by Lakshya Batch students of Career Point to give a finishing touch to their preparation for JEE-Advanced Exam. We hope this book would immensely help genuine, hardworking students in sharpening their questions solving skills enabling them to achieve a seat in most prestigious colleges. We take this opportunity to express our deepest appreciation to CP Publishing team, who helped in the editing of the book. We will greatly appreciate if the users of this book will let us know about any errors or misprints that they may happen to encounter. We will incorporate the same in the subsequent editions. This book covers the complete Physics course for JEE Advanced.
Author :Research and Education Association Publisher :Research & Education Assoc. ISBN 13 :9780878915132 Total Pages :1564 pages Book Rating :4.9/5 (151 download)
Book Synopsis The Differential Equations Problem Solver by : Research and Education Association
Download or read book The Differential Equations Problem Solver written by Research and Education Association and published by Research & Education Assoc.. This book was released on 1978 with total page 1564 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended to help students in differential equations to find their way through the complex material which involves a wide variety of concepts. Topic by topic, and problem by problem, the book provides detailed illustrations of solution methods which are usually not apparent to students.
Book Synopsis Solutions of Weekly Problem Papers by : John James Milne
Download or read book Solutions of Weekly Problem Papers written by John James Milne and published by . This book was released on 1885 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Large Flux Problem to the Navier-Stokes Equations by : Joanna Rencławowicz
Download or read book The Large Flux Problem to the Navier-Stokes Equations written by Joanna Rencławowicz and published by Springer Nature. This book was released on 2019-12-09 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph considers the motion of incompressible fluids described by the Navier-Stokes equations with large inflow and outflow, and proves the existence of global regular solutions without any restrictions on the magnitude of the initial velocity, the external force, or the flux. To accomplish this, some assumptions are necessary: The flux is close to homogeneous, and the initial velocity and the external force do not change too much along the axis of the cylinder. This is achieved by utilizing a sophisticated method of deriving energy type estimates for weak solutions and global estimates for regular solutions—an approach that is wholly unique within the existing literature on the Navier-Stokes equations. To demonstrate these results, three main steps are followed: first, the existence of weak solutions is shown; next, the conditions guaranteeing the regularity of weak solutions are presented; and, lastly, global regular solutions are proven. This volume is ideal for mathematicians whose work involves the Navier-Stokes equations, and, more broadly, researchers studying fluid mechanics.
Book Synopsis Electronics Problem Solver (REA) by : REA Editors
Download or read book Electronics Problem Solver (REA) written by REA Editors and published by Research & Education Assoc.. This book was released on 2013-03-19 with total page 1378 pages. Available in PDF, EPUB and Kindle. Book excerpt: Each Problem Solver is an insightful and essential study and solution guide chock-full of clear, concise problem-solving gems. All your questions can be found in one convenient source from one of the most trusted names in reference solution guides. More useful, more practical, and more informative, these study aids are the best review books and textbook companions available. Nothing remotely as comprehensive or as helpful exists in their subject anywhere. Perfect for undergraduate and graduate studies. Here in this highly useful reference is the finest overview of electronics currently available, with hundreds of electronics problems that cover everything from circuits and transistors to amplifiers and generators. Each problem is clearly solved with step-by-step detailed solutions. DETAILS - The PROBLEM SOLVERS are unique - the ultimate in study guides. - They are ideal for helping students cope with the toughest subjects. - They greatly simplify study and learning tasks. - They enable students to come to grips with difficult problems by showing them the way, step-by-step, toward solving problems. As a result, they save hours of frustration and time spent on groping for answers and understanding. - They cover material ranging from the elementary to the advanced in each subject. - They work exceptionally well with any text in its field. - PROBLEM SOLVERS are available in 41 subjects. - Each PROBLEM SOLVER is prepared by supremely knowledgeable experts. - Most are over 1000 pages. - PROBLEM SOLVERS are not meant to be read cover to cover. They offer whatever may be needed at a given time. An excellent index helps to locate specific problems rapidly. TABLE OF CONTENTS Introduction Chapter 1: Fundamental Semiconductor Devices Properties of Semiconductors The p-n Junction Junction-Diode Characteristics Bipolar Transistor Theory Bipolar Transistor Characteristics Field-Effect Transistors Chapter 2: Analog Diode Circuits Clippers and Clampers Rectifiers and Filters Synthesis of Volt-Ampere Transfer Functions Zener Diode Voltage Regulators Miscellaneous Diode Circuits Chapter 3: Basic Transistor Circuits Inverter Common-Emitter Amplifier Emitter-Follower Common-Base Amplifier Bias Stability and Compensation Miscellaneous BJT Circuits Common-Source JFET Amplifier Common-Drain JFET Amplifier MOSFET Amplifiers Chapter 4: Small-Signal Analysis Amplifier Concepts and Hybrid Parameters Common-Emitter Amplifier Emitter-Follower Common-Base Amplifier Common-Source JFET Amplifier Common-Drain JFET Amplifier Common-Gate JFET Amplifier MOSFET Circuit Analysis Noise Chapter 5: Multiple Transistor Circuits Cascading of Stages Darlington Configuration Difference Amplifier Direct-Coupled Amplifiers Other Configurations Chapter 6: Power Amplifiers Class A Class B Push-Pull Class AB Push-Pull Complementary Symmetry Push-Pull Chapter 7: Feedback Circuits Feedback Concepts Gain and Impedance of Feedback Amplifiers Feedback Analysis and Design Stability of Feedback Circuits Regulated Power Supplies Chapter 8: Frequency Response of Amplifiers Low Frequency Response of BJT Amplifiers Low Frequency Response of FET Amplifiers High Frequency Behavior of CE Amplifiers High Frequency Behavior of CC and CB Amplifiers High Frequency Behavior of FET Amplifiers Multistage Amplifiers At High Frequencies The Gain Bandwidth Product Frequency Response of Miscellaneous Circuits Transistor Switch Chapter 9: Tuned Amplifiers and Oscillators Single-Tuned Amplifiers Double-Tuned Amplifiers Synchronously-Tuned Amplifiers Stagger-Tuned Amplifiers Other Tuned Amplifiers Phase-Shift Oscillators Colpitts Oscillators Hartley Oscillators Other Oscillators Chapter 10: Operational Amplifiers Basic Op-Amp Characteristics Frequency Response of Op-Amps Stability and Compensation Integrators and Differentiators Mathematical Applications of Op-Amps Active Filters The Comparator Miscellaneous Op-Amp Applications Chapter 11: Timing Circuits Waveform Generators Free-Running Multivibrators Monostable Multivibrators Schmitt Trigger Sweep Circuits Miscellaneous Circuits Chapter 12: Other Electronic Devices and Circuits Tubes SCR and TRIAC Circuits Unijunction Transistors Tunnel Diodes Four-Layer Diodes Light-Controlled Devices Miscellaneous Circuits D/A and A/D Converters Chapter 13: Fundamental Digital Circuits Diode Logic (DL) Gates Resistor-Transistor Logic (RTL) Gates Diode-Transistor Logic (DTL) Gates Transistor-Transistor Logic (TTL) Gates Emitter-Coupled Logic (ECL) Gates MOSFET Logic Gates Chapter 14: Combinational Digital Circuits Boolean Algebra Logic Analysis Logic Synthesis Encoders, Multiplexers, and ROM''s Chapter 15: Sequential Digital Circuits Flip-Flops Synthesis of Sequential Circuits Analysis of Sequential Circuits Counters Shift Registers Appendix Index WHAT THIS BOOK IS FOR Students have generally found electronics a difficult subject to understand and learn. Despite the publication of hundreds of textbooks in this field, each one intended to provide an improvement over previous textbooks, students of electronics continue to remain perplexed as a result of numerous subject areas that must be remembered and correlated when solving problems. Various interpretations of electronics terms also contribute to the difficulties of mastering the subject. In a study of electronics, REA found the following basic reasons underlying the inherent difficulties of electronics: No systematic rules of analysis were ever developed to follow in a step-by-step manner to solve typically encountered problems. This results from numerous different conditions and principles involved in a problem that leads to many possible different solution methods. To prescribe a set of rules for each of the possible variations would involve an enormous number of additional steps, making this task more burdensome than solving the problem directly due to the expectation of much trial and error. Current textbooks normally explain a given principle in a few pages written by an electronics professional who has insight into the subject matter not shared by others. These explanations are often written in an abstract manner that causes confusion as to the principle''s use and application. Explanations then are often not sufficiently detailed or extensive enough to make the reader aware of the wide range of applications and different aspects of the principle being studied. The numerous possible variations of principles and their applications are usually not discussed, and it is left to the reader to discover this while doing exercises. Accordingly, the average student is expected to rediscover that which has long been established and practiced, but not always published or adequately explained. The examples typically following the explanation of a topic are too few in number and too simple to enable the student to obtain a thorough grasp of the involved principles. The explanations do not provide sufficient basis to solve pro
Book Synopsis Weekly problem papers, with notes. [With] Solutions by : John James Milne
Download or read book Weekly problem papers, with notes. [With] Solutions written by John James Milne and published by . This book was released on 1885 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Application of Abstract Differential Equations to Some Mechanical Problems by : I. Titeux
Download or read book Application of Abstract Differential Equations to Some Mechanical Problems written by I. Titeux and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: PREFACE The theory of differential-operator equations has been described in various monographs, but the initial physical problem which leads to these equations is often hidden. When the physical problem is studied, the mathematical proofs are either not given or are quickly explained. In this book, we give a systematic treatment of the partial differential equations which arise in elastostatic problems. In particular, we study problems which are obtained from asymptotic expansion with two scales. Here the methods of operator pencils and differential-operator equations are used. This book is intended for scientists and graduate students in Functional Analy sis, Differential Equations, Equations of Mathematical Physics, and related topics. It would undoubtedly be very useful for mechanics and theoretical physicists. We would like to thank Professors S. Yakubov and S. Kamin for helpfull dis cussions of some parts of the book. The work on the book was also partially supported by the European Community Program RTN-HPRN-CT-2002-00274. xiii INTRODUCTION In first two sections of the introduction, a classical mathematical problem will be exposed: the Laplace problem. The domain of definition will be, on the first time, an infinite strip and on the second time, a sector. To solve this problem, a well known separation of variables method will be used. In this way, the structure of the solution can be explicitly found. For more details about the separation of variables method exposed in this part, the reader can refer to, for example, the book by D. Leguillon and E. Sanchez-Palencia [LS].
Book Synopsis Using Mathematics to Understand the World by : Terezinha Nunes
Download or read book Using Mathematics to Understand the World written by Terezinha Nunes and published by Routledge. This book was released on 2021-08-05 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt: Using Mathematics to Understand the World: How Culture Promotes Children's Mathematics offers fundamental insight into how mathematics permeates our lives as a way of representing and thinking about the world. Internationally renowned experts Terezinha Nunes and Peter Bryant examine research into children’s mathematical development to show why it is important to distinguish between quantities, relations and numbers. Using Mathematics to Understand the World presents a theory about the development of children’s quantitative reasoning and reveals why and how teaching about quantitative reasoning can be used to improve children’s mathematical attainment in school. It describes how learning about the analytical meaning of numbers is established as part of mathematics at school but quantitative reasoning is emphasized less even though it is increasingly acclaimed as essential for thinking mathematically and for using mathematics to understand the world. This essential text is for all students of mathematics education, developmental psychology and cognitive psychology. By including activities for parents and professionals to try themselves, it may help you to recognize your own quantitative reasoning.
Book Synopsis Linear Algebra Problem Book by : Paul R. Halmos
Download or read book Linear Algebra Problem Book written by Paul R. Halmos and published by American Mathematical Soc.. This book was released on 1995-12-31 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt: Linear Algebra Problem Book can be either the main course or the dessert for someone who needs linear algebraand today that means every user of mathematics. It can be used as the basis of either an official course or a program of private study. If used as a course, the book can stand by itself, or if so desired, it can be stirred in with a standard linear algebra course as the seasoning that provides the interest, the challenge, and the motivation that is needed by experienced scholars as much as by beginning students. The best way to learn is to do, and the purpose of this book is to get the reader to DO linear algebra. The approach is Socratic: first ask a question, then give a hint (if necessary), then, finally, for security and completeness, provide the detailed answer.
Book Synopsis Serre's Problem on Projective Modules by : T.Y. Lam
Download or read book Serre's Problem on Projective Modules written by T.Y. Lam and published by Springer Science & Business Media. This book was released on 2010-05-17 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: An invaluable summary of research work done in the period from 1978 to the present
Book Synopsis The Contest Problem Book VIII by : J. Douglas Faires
Download or read book The Contest Problem Book VIII written by J. Douglas Faires and published by American Mathematical Society. This book was released on 2022-02-25 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: For more than 50 years, the Mathematical Association of America has been engaged in the construction and administration of challenging contests for students in American and Canadian high schools. The problems for these contests are constructed in the hope that all high school students interested in mathematics will have the opportunity to participate in the contests and will find the experience mathematically enriching. These contests are intended for students at all levels, from the average student at a typical school who enjoys mathematics to the very best students at the most special school. In the year 2000, the Mathematical Association of America initiated the American Mathematics Competitions 10 (AMC 10) for students up to grade 10. The Contest Problem Book VIII is the first collection of problems from that competition covering the years 2001–2007. J. Douglas Faires and David Wells were the joint directors of the AMC 10 and AMC 12 during that period, and have assembled this book of problems and solutions. There are 350 problems from the first 14 contests included in this collection. A Problem Index at the back of the book classifies the problems into the following major subject areas: Algebra and Arithmetic, Sequences and Series, Triangle Geometry, Circle Geometry, Quadrilateral Geometry, Polygon Geometry, Counting Coordinate Geometry, Solid Geometry, Discrete Probability, Statistics, Number Theory, and Logic. The major subject areas are then broken down into subcategories for ease of reference. The problems are cross-referenced when they represent several subject areas.
Book Synopsis Methods of Solving Complex Geometry Problems by : Ellina Grigorieva
Download or read book Methods of Solving Complex Geometry Problems written by Ellina Grigorieva and published by Springer Science & Business Media. This book was released on 2013-08-13 with total page 247 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a unique collection of challenging geometry problems and detailed solutions that will build students’ confidence in mathematics. By proposing several methods to approach each problem and emphasizing geometry’s connections with different fields of mathematics, Methods of Solving Complex Geometry Problems serves as a bridge to more advanced problem solving. Written by an accomplished female mathematician who struggled with geometry as a child, it does not intimidate, but instead fosters the reader’s ability to solve math problems through the direct application of theorems. Containing over 160 complex problems with hints and detailed solutions, Methods of Solving Complex Geometry Problems can be used as a self-study guide for mathematics competitions and for improving problem-solving skills in courses on plane geometry or the history of mathematics. It contains important and sometimes overlooked topics on triangles, quadrilaterals, and circles such as the Menelaus-Ceva theorem, Simson’s line, Heron’s formula, and the theorems of the three altitudes and medians. It can also be used by professors as a resource to stimulate the abstract thinking required to transcend the tedious and routine, bringing forth the original thought of which their students are capable. Methods of Solving Complex Geometry Problems will interest high school and college students needing to prepare for exams and competitions, as well as anyone who enjoys an intellectual challenge and has a special love of geometry. It will also appeal to instructors of geometry, history of mathematics, and math education courses.
Book Synopsis Global Propagation of Regular Nonlinear Hyperbolic Waves by : Tatsien Li
Download or read book Global Propagation of Regular Nonlinear Hyperbolic Waves written by Tatsien Li and published by Springer Science & Business Media. This book was released on 2009-09-01 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph describes global propagation of regular nonlinear hyperbolic waves described by first-order quasilinear hyperbolic systems in one dimension. The exposition is clear, concise, and unfolds systematically beginning with introductory material and leading to the original research of the authors. Topics are motivated with a number of physical examples from the areas of elastic materials, one-dimensional gas dynamics, and waves. Aimed at researchers and graduate students in partial differential equations and related topics, this book will stimulate further research and help readers further understand important aspects and recent progress of regular nonlinear hyperbolic waves.
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