Download or read book Areas and volumes written by Efraín Soto Apolinar and published by Efrain Soto Apolinar. This book was released on 2019-05-01 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt: We could say that all high school students know the formula to compute the area of the circle, but very few really know how to explain why it works. In this pamphlet, you will find the arguments that explain the reasons why the formulas to calculate the area of polygons and the volume of common solids work.
Download or read book Geometry of Lengths Areas and Volumes written by James W. Cannon and published by American Mathematical Soc.. This book was released on 2017-11-16 with total page 133 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first of a three volume collection devoted to the geometry, topology, and curvature of 2-dimensional spaces. The collection provides a guided tour through a wide range of topics by one of the twentieth century's masters of geometric topology. The books are accessible to college and graduate students and provide perspective and insight to mathematicians at all levels who are interested in geometry and topology. The first volume begins with length measurement as dominated by the Pythagorean Theorem (three proofs) with application to number theory; areas measured by slicing and scaling, where Archimedes uses the physical weights and balances to calculate spherical volume and is led to the invention of calculus; areas by cut and paste, leading to the Bolyai-Gerwien theorem on squaring polygons; areas by counting, leading to the theory of continued fractions, the efficient rational approximation of real numbers, and Minkowski's theorem on convex bodies; straight-edge and compass constructions, giving complete proofs, including the transcendence of and , of the impossibility of squaring the circle, duplicating the cube, and trisecting the angle; and finally to a construction of the Hausdorff-Banach-Tarski paradox that shows some spherical sets are too complicated and cloudy to admit a well-defined notion of area.
Download or read book Fundamentals of Mathematics written by Denny Burzynski and published by . This book was released on 2008 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fundamentals of Mathematics is a work text that covers the traditional study in a modern prealgebra course, as well as the topics of estimation, elementary analytic geometry, and introductory algebra. It is intended for students who: have had previous courses in prealgebra wish to meet the prerequisites of higher level courses such as elementary algebra need to review fundamental mathematical concenpts and techniques This text will help the student devlop the insight and intuition necessary to master arithmetic techniques and manipulative skills. It was written with the following main objectives: to provide the student with an understandable and usable source of information to provide the student with the maximum oppurtinity to see that arithmetic concepts and techniques are logically based to instill in the student the understanding and intuitive skills necessary to know how and when to use particular arithmetic concepts in subsequent material cources and nonclassroom situations to give the students the ability to correctly interpret arithmetically obtained results We have tried to meet these objects by presenting material dynamically much the way an instructure might present the material visually in a classroom. (See the development of the concept of addition and subtraction of fractions in section 5.3 for examples) Intuition and understanding are some of the keys to creative thinking, we belive that the material presented in this text will help students realize that mathematics is a creative subject.
Download or read book Areas and Volumes written by Donald Fraser Ferguson and published by . This book was released on 1923 with total page 106 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Perimeter Area and Volume written by David A. Adler and published by Holiday House. This book was released on 2014-01-24 with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt: Grab your jumbo popcorn—you're invited to the premiere of a 3-D movie, all about those three dimensions! Trusted math picture book duo David A. Adler and Ed Miller tackle the differences between two- and three-dimensional objects in their signature bright and kid-friendly way. Explaining length, width, and height-- and all the different ways we represent those figures-- Adler shows how changing the dimensions of an object affects its size. . . . with some help from a cast of funny, friendly movie monsters. Explaining key vocabulary in simple text and offering numerous concrete examples and sample math problems with included solutions, Perimeter, Area, and Volume is a perfect introduction to two- and three-dimensional geometry. The star-studded cast of monsters will help you calculate the perimeter of the set, the area of the movie screen, and the volume of your box of popcorn. Learning about dimensions has never been so entertaining!
Download or read book Mensuration of Lines Areas Surfaces and Volumes written by Robert Rawson and published by . This book was released on 1856 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mensuration of lines areas surfaces and volumes combining elements of the screw propeller and naval architecture generally with the application of algebra to mensuration written by Robert Rawson and published by . This book was released on 1856 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Key Maths GCSE written by David Baker and published by Nelson Thornes. This book was released on 2002-01-25 with total page 750 pages. Available in PDF, EPUB and Kindle. Book excerpt: Developed for the AQA Specification, revised for the new National Curriculum and the new GCSE specifications. The Teacher File contains detailed support and guidance on advanced planning, points of emphasis, key words, notes for non-specialist, useful supplementary ideas and homework sheets.
Download or read book Key Maths GCSE written by and published by Nelson Thornes. This book was released on 2001 with total page 588 pages. Available in PDF, EPUB and Kindle. Book excerpt: Developed for the CCEA Specification, this Teacher File contains detailed support and guidance on advanced planning, points of emphasis, key words, notes for the non-specialist, useful supplementary ideas and homework sheets.
Download or read book NCERT Solutions for Class 10 Maths Chapter 13 Surface Areas and Volumes written by Bright Tutee and published by Bright Tutee. This book was released on 2020-03-11 with total page 13 pages. Available in PDF, EPUB and Kindle. Book excerpt: NCERT Solutions for Surface Areas and Volumes can be downloaded from Bright Tutee for free. The NCERT (?????????) solutions cover all the exercises provided in the CBSE (???????) class 10th Maths textbook. You can download these solutions on your mobile phone or laptop or whatever device you may have and take their print outs so you can refer them easily whenever you need them. Chapter 13 in class 10 Maths (????) is on Surface Areas and Volumes and introduces students with Surface Area of a Combination of Solids, Volume of a Combination of Solids, Conversion of Solid from One Shape to Another, and Frustum of a Cone. At Bright Tutee, we endeavor to enable students to learn better and score more marks in their board exams. Chapter-wise NCERT Solutions for Surface Areas and Volumes are one of our initiatives to empower class 10 students to get mastery over concepts and solve questions like a pro. With the help of our NCERT solutions, any student can get better in chapter Surface Areas and Volumes and score more marks from this chapter. Here you will find all the solutions of your textbook questions. The good thing is that you do not need to pay us anything to access these solutions. All you need to do get these free NCERT solutions is click on the given links and you will get it all on your mobile phone or laptop. We also urge our students to try out our paid courses which are designed to help you fall in love with Mathematics and improve your overall performance by 30 to 40 percent.
Download or read book NCERT Solutions for Class 9 Mathematics Chapter 13 Surface Areas and Volumes written by Bright Tutee and published by Bright Tutee. This book was released on 2020-03-17 with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt: Our NCERT Solutions for Class 9 Maths Chapter 13 Surface Areas and Volumes focuses on finding the surface areas and volumes of cones, cylinders, cuboids, and spheres. It includes all types of exercise problems for better exam preparation. You learn about the surface area of a cuboid and a cube, surface area of a right circular cylinder and volume of a cylinder, etc. Our NCERT solutions for 'Surface Areas and Volumes' are available for free for all class 9th students. We provide these solutions in Ebook, which can be downloaded on any smartphone, laptop, or any other device of your choice. So, dont waste any more time and download the complete solution book of NCERT Chapter 13 'Surface Areas and Volumes' of Class 9. Salient Features of NCERT Solutions for Class 9 Maths Chapter 13 Surface Areas and Volumes: -List of formulas for surface area and volume of cube, cuboid, cylinder, cone, and sphere. -Students will be able to remember and apply the formulas for getting the answers. -Completely solved solutions to all the questions related to the chapter given in the Maths NCERT textbook. Thus, our NCERT solutions will help you attempt all the questions from this chapter on time and you will be able to score more marks in the exams.
Download or read book Mathematical Thought From Ancient to Modern Times written by Morris Kline and published by OUP USA. This book was released on 1990-03 with total page 452 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 Mind and Brain written by William R. Uttal and published by MIT Press. This book was released on 2011 with total page 526 pages. Available in PDF, EPUB and Kindle. Book excerpt: The search for mind-brain relationships, with a particular emphasis on distinguishing hyperbole from solid empirical results in brain imaging studies. Cognitive neuroscience explores the relationship between our minds and our brains, most recently by drawing on brain imaging techniques to align neural mechanisms with psychological processes. In Mind and Brain, William Uttal offers a critical review of cognitive neuroscience, examining both its history and modern developments in the field. He pays particular attention to the role of brain imaging--especially functional magnetic resonance imaging (fMRI)--in studying the mind-brain relationship. He argues that, despite the explosive growth of this new mode of research, there has been more hyperbole than critical analysis of what experimental outcomes really mean. With Mind and Brain, Uttal attempts a synoptic synthesis of this substantial body of scientific literature. Uttal considers psychological and behavioral concerns that can help guide the neuroscientific discussion; work done before the advent of imaging systems; and what brain imaging has brought to recent research. Cognitive neuroscience, Uttal argues, is truly both cognitive and neuroscientific. Both approaches are necessary and neither is sufficient to make sense of the greatest scientific issue of all: how the brain makes the mind.
Download or read book Connections Maths written by Ajit Kalra and published by Pascal Press. This book was released on 2004 with total page 616 pages. Available in PDF, EPUB and Kindle. Book excerpt: Connections Maths 9 Stage 5. 3 / 5. 2 / 5. 1 together with Connection s Maths 10 Stage 5. 3 / 5. 2 /5. 1 provides complete coverage of the out comes for Stage 5. 3 pathway. The outcomes for theStage 5. 2 are covered in Connections Maths 9 Stage 5. 2 / 5. 1 and Connections Maths Stage 10 5. 2 / 5. 1. Features: outcomes at the start of ever y chapter a dynamic full colour design that clearly distinguish es theory, examples, exercises, and features carefully graded e xercises with worked examples and solutions linked to each cart oons offering helpful hints working mathematically strands that are fully integrated. These also feature regularly in challenging secti ons designed as extension material which also contain interesting histor ical and real life context a chapter review to revise and conso lidate learning in each chapter speed skills sections to revise and provide mental arithmetic skills problem solving applicati on strategies with communication and reasoning through an inquiry approa ch a comprehensive Diagnostic test providing a cumulative revi ew of learning in all chapters, cross referenced to each exercise integrated technology activities literacy skills develop lan guage skills relevant to each chapter fully linked icons to acc ompanying CD-ROM The student CD-ROM accompanying this text book can be used at school or at home for further explanation and learni ng. Each CD-ROM contains: interactive diagnostic tex t - perfect revision for all Stage 4 work. The regenerative nature of the program allows for an almost limitless number of varied tests of equal difficulty. This test can be used prior to commencing Stage 5 wor k dynamic geometry activities using WinGeom and Cabri software for student investigations using technology with formatted Exce l spreadsheets full textbook with links to the above
Download or read book Water and Wastewater Engineering Volume 1 written by Lawrence K. Wang and published by John Wiley & Sons. This book was released on 2024-04-30 with total page 821 pages. Available in PDF, EPUB and Kindle. Book excerpt: The classic guide to water and wastewater engineering returns Water and wastewater engineering is a crucial branch of civil engineering, dealing with water resources and with the challenges posed by water and wastewater. Generations of engineers have developed techniques for purifying, desalinating, and transforming water and wastewater, techniques which have only grown more critical as climate change and global population growth create new challenges and opportunities. There has never been a more urgent need for a comprehensive guide to the management of water and its various engineering subdisciplines. Water and Wastewater Engineering: Hydraulics, Hydrology and Management, 4th edition offers key fundamentals in a practical context to engineers and engineering students. Updated to address growing urbanization and industrialization, with corresponding stress on water and wastewater systems, this vital textbook has been fully revised to reflect the latest research and case studies. This volume focuses primarily with hydrology and hydraulics, along with chapters treating groundwater and surface water sources. Readers of Hydraulics, Hydrology, and Management will also find: • Coverage of water supply, water sources, water distribution, and more • Detailed treatment of both sanitary sewer and urban stormwater drainage • In-depth analysis of infrastructure issues with respect to water resources, pumping, and handling This textbook is ideal for advanced students in civil, environmental, and chemical engineering departments, as well as for early career engineers, plant managers, and urban and regional planners.
Download or read book Active Calculus 2018 written by Matthew Boelkins and published by Createspace Independent Publishing Platform. This book was released on 2018-08-13 with total page 560 pages. Available in PDF, EPUB and Kindle. Book excerpt: Active Calculus - single variable is a free, open-source calculus text that is designed to support an active learning approach in the standard first two semesters of calculus, including approximately 200 activities and 500 exercises. In the HTML version, more than 250 of the exercises are available as interactive WeBWorK exercises; students will love that the online version even looks great on a smart phone. Each section of Active Calculus has at least 4 in-class activities to engage students in active learning. Normally, each section has a brief introduction together with a preview activity, followed by a mix of exposition and several more activities. Each section concludes with a short summary and exercises; the non-WeBWorK exercises are typically involved and challenging. More information on the goals and structure of the text can be found in the preface.
Download or read book The Finite Element Method and Applications in Engineering Using ANSYS written by Erdogan Madenci and published by Springer. This book was released on 2015-02-10 with total page 664 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook offers theoretical and practical knowledge of the finite element method. The book equips readers with the skills required to analyze engineering problems using ANSYS®, a commercially available FEA program. Revised and updated, this new edition presents the most current ANSYS® commands and ANSYS® screen shots, as well as modeling steps for each example problem. This self-contained, introductory text minimizes the need for additional reference material by covering both the fundamental topics in finite element methods and advanced topics concerning modeling and analysis. It focuses on the use of ANSYS® through both the Graphics User Interface (GUI) and the ANSYS® Parametric Design Language (APDL). Extensive examples from a range of engineering disciplines are presented in a straightforward, step-by-step fashion. Key topics include: • An introduction to FEM • Fundamentals and analysis capabilities of ANSYS® • Fundamentals of discretization and approximation functions • Modeling techniques and mesh generation in ANSYS® • Weighted residuals and minimum potential energy • Development of macro files • Linear structural analysis • Heat transfer and moisture diffusion • Nonlinear structural problems • Advanced subjects such as submodeling, substructuring, interaction with external files, and modification of ANSYS®-GUI Electronic supplementary material for using ANSYS® can be found at http://link.springer.com/book/10.1007/978-1-4899-7550-8. This convenient online feature, which includes color figures, screen shots and input files for sample problems, allows for regeneration on the reader’s own computer. Students, researchers, and practitioners alike will find this an essential guide to predicting and simulating the physical behavior of complex engineering systems."
