Best Non-Euclidean Geometries Books
Here you will get Best Non-Euclidean Geometries Books For you.This is an up-to-date list of recommended books.
1. Math Workbook Grade 1: 100 Pages of Addition, Subtraction and Number Bond Practice (Number Bond Workbook)
Author: by Elita Nathan
Published at: Independently published (May 21, 2019)
This book is your comprehensive workbook for 5th Grade Common Core Math. By practicing and mastering this entire workbook, your child will become very familiar and comfortable with the state math exam and common core standards. This 5th Grade Common Core Math Workbook (Multiple Choice) includes:20 Weeks of Daily Multiple ChoiceWeekly AssessmentsState Aligned Common Core CurriculumEnd of Year Assessment This book has following topics covered:Week 1 – Place valueWeek 2 – Expanded form vs standard formWeek 3 – Rounding numbersWeek 4 – DecimalsWeek 5 – Converting phrases into algebraic expressionsWeek 6 – Comparing number patternsWeek 7 – FractionsWeek 8 – Fraction word problemsWeek 9 – Division problemsWeek 10 – Multiplying fractions by whole numbersWeek 11 – Understanding products based on factorsWeek 12 – Real world word problemsWeek 13 – Working with unit fractionsWeek 14 – Converting unitsWeek 15 – Understanding dot plotsWeek 16 – Volume of three-dimensional shapesWeek 17 – Volume (continued)Week 18 – Volume word problemsWeek 19 – Graphing points on a coordinate planeWeek 20 – Understanding characteristics of shapesEnd of Year AssessmentFor practice with Free Response questions, be sure to check out Part II of our workbook titled:5th Grade Common Core Math: Daily Practice Workbook – Part II: Free Response | 1000+ Practice Questions and Video Explanations | Argo BrothersEach question is labeled with the specific common core standard so both parents and teachers can use this workbook for their student(s).
3. Geometry Part 2 (Quickstudy Reference Guides – Academic)
Author: by Inc. BarCharts
Published at: QuickStudy; Chrt edition (March 1, 2001)
Part 2 of our coverage of the fundamental structure of geometry.
4. Geometric Formulas (Quick Study: Academic)
Author: by Inc. BarCharts
Published at: QuickStudy; Lam Crds edition (January 1, 2005)
6-page laminated guide includes: general terms lines line segments rays angles transversal line angles polygons circles theorems & relationships postulates geometric formulas
5. Addition Subtraction Practice Workbook: Kindergarten Math Workbook Age 5-7 | Homeschool Kindergarteners and 1st Grade Activities | Place Value, … + Worksheets & More (Coloring Books for Kids)
Author: by Scholastic Panda Education
Published at: Scholastic Panda Education (January 4, 2021)
Looking for fun kinder educational workbooks?Look no further! This kindergarten math workbook will give your child a jumpstart with our latest kinder learning book that teaches the basics of math to kids. Our addition and subtraction kindergarten math workbook for kids is an excellent way for your little one to learn basic mathematical skills such as number recognition, decomposing numbers, manipulatives, regrouping, telling time, money and even fun word problems.
As a mother + daughter team, we know how important (and challenging! It is to keep kids’ attention, which is why we’ve put together a variety of different activities that are both fun and educational! Why You’ll Love this BookFun and essential kinder math activities – Color and Trace the Numbers, Count the Unicorns, and “Subtract the Rocketships” are a few of the fun activities that inspire learning!
Cute and inspiring themes – All of the activities involve a variety of animals, magical creatures, coloring opportunities and jokes to keep your child engaged. Practically sized and high quality paper – The book is sized at 8. 5 x 11 which gives your child plenty of space to complete the exercises.
6. 5th grade Math Workbook: CommonCore Math Workbook
Author: by Ace Academic Publishing
Ace Academic Publishing; V1.0 edition (September 20, 2018)
School bulk orders can get up to 50% discount along with access to the industry’s leading UNIK LMS system, absolutely FREE! Contact us at 925-361-0573 or Practice online for free at Grade Common Core Math: Practice Workbook | Practice Questions, Answers & Explanations | Recommended by Teachers | Ace Academic Publishing Based on Common Core State Standards: Similar to a standardized exam, you can find questions of all types, including multiple-choice, fill-in-the-blank, true or false, match the correct answer and free-response questions.
High Standards of Questions: Each of these questions are divided into Chapters and Sub-Topics. The contents of this Math workbook include multiple chapters and units covering all the required Common Core Standards for this grade level. Recommended by Teachers: These carefully written questions aim to help students reason abstractly and quantitatively using various models, strategies, and problem-solving techniques.
Identifying trouble spots and fixing it: This workbook will help students overcome any deficiencies in their understanding of critical concepts and also will help you identify the specific topic that students may require additional practice. Practice all types of questions including free response: The book is comprised of multiple tests for each topic so that your child can have an abundant amount of test on the same topic.
7. Special Relativity and Classical Field Theory: The Theoretical Minimum
Author: by Leonard Susskind
Published at: Basic Books; Reprint edition (May 7, 2019)
The third volume in the bestselling physics series cracks open Einstein’s special relativity and field theory Physicist Leonard Susskind and data engineer Art Friedman are back. This time, they introduce readers to Einstein’s special relativity and Maxwell’s classical field theory.
Using their typical brand of real math, enlightening drawings, and humor, Susskind and Friedman walk us through the complexities of waves, forces, and particles by exploring special relativity and electromagnetism. It’s a must-read for both devotees of the series and any armchair physicist who wants to improve their knowledge of physics’ deepest truths.
8. The Shape of a Life: One Mathematician's Search for the Universe's Hidden Geometry
Author: by Shing-Tung Yau
Published at: Yale University Press; Illustrated edition (February 19, 2019)
A Fields medalist recounts his lifelong transnational effort to uncover the geometric shapethe Calabi-Yau manifoldthat may store the hidden dimensions of our universe. Harvard geometer and Fields medalist Shing-Tung Yau has provided a mathematical foundation for string theory, offered new insights into black holes, and mathematically demonstrated the stability of our universe.
In this autobiography, Yau reflects on his improbable journey to becoming one of the world’s most distinguished mathematicians. Beginning with an impoverished childhood in China and Hong Kong, Yau takes readers through his doctoral studies at Berkeley during the height of the Vietnam War protests, his Fields Medalwinning proof of the Calabi conjecture, his return to China, and his pioneering work in geometric analysis.
This new branch of geometry, which Yau built up with his friends and colleagues, has paved the way for solutions to several important and previously intransigent problems. With complicated ideas explained for a broad audience, this book offers readers not only insights into the life of an eminent mathematician, but also an accessible way to understand advanced and highly abstract concepts in mathematics and theoretical physics.
10. Matrix Gateway to Geometric Algebra, Spacetime and Spinors
Author: by Garret Sobczyk
Published at: Independently published (November 7, 2019)
Geometric algebra has been presented in many different guises since its invention by William Kingdon Clifford shortly before his death in 1879. Our guiding principle is that it should be fully integrated into the foundations of mathematics, and in this regard nothing is more fundamental than the concept of number itself.
In this book we fully integrate the ideas of geometric algebra directly into the fabric of matrix linear algebra. A geometric matrix is a real or complex matrix which is identified with a unique geometric number. The matrix product of two geometric matrices is just the product of the corresponding geometric numbers.
Any equation can be either interpreted as a matrix equation or an equation in geometric algebra, thus fully unifying the two languages. The first 6 chapters provide an introduction to geometric algebra, and the classification of all such algebras. Exercises are provided.
The last 3 chapters explore more advanced topics in the application of geometric algebras to Pauli and Dirac spinors, special relativity, Maxwell’s equations, quaternions, split quaternions, and group manifolds. They are included to highlight the great variety of topics that are imbued with new geometric insight when expressed in geometric algebra.
The Visual Guide To Extra Dimensions: Visualizing The Fourth Dimension, Higher-Dimensional Polytopes, And Curved Hypersurfaces
Author: by Chris McMullen
Published at: CreateSpace Independent Publishing Platform (August 17, 2008)
AUTHOR: Chris McMullen earned his Ph.D. In particle physics from Oklahoma State University. Dr. McMullen currently teaches physics at Northwestern State University of Louisiana. His background on the geometry and physics of a possible fourth dimension of space includes a half-dozen research papers on the prospects of discovering large extra dimensions at the Large Hadron Collider.
DESCRIPTION: This book takes you on a visual tour of a fourth dimension of space. It is much more visual and conceptual than algebraic, yet it is detailed and technical, with the intention of satisfying the needs of mathematically-minded readers familiar with the fundamentals of algebra, geometry, and graphing.
Here is a sample of what you will find:A fascinating tour of the second and lower dimensions, which will help to understand the fourth dimension by analogy. A chapter dedicated toward imagining what it might be like to live in a hypothetical 4D hyperuniverse.
This includes details like 4D wheels with axles, a 4D staircase, and a 4D room. Pictures of flat 4D objects called polytopes, like the tesseract, pentachoron, and icositetrachoron. A unique graph of a hecatonicosachoron has 12 of its 120 bounding dodecahedra highlighted to help visualize its complicated structure.
12. Crocheting Adventures with Hyperbolic Planes: Tactile Mathematics, Art and Craft for all to Explore, Second Edition
Author: by Daina Taimina
Published at: CRC Press; 2nd edition (March 29, 2018)
Winner, Euler Book Prize, awarded by the Mathematical Association of America. With over 200 full color photographs, this non-traditional, tactile introduction to non-Euclidean geometries also covers early development of geometry and connections between geometry, art, nature, and sciences. For the crafter or would-be crafter, there are detailed instructions for how to crochet various geometric models and how to use them in explorations.
New to the 2nd Edition; Daina Taimina discusses her own adventures with the hyperbolic planes as well as the experiences of some of her readers. Includes recent applications of hyperbolic geometry such as medicine, architecture, fashion & quantum computing.
13. Mathematics and the Imagination (Dover Books on Mathematics)
Author: by Edward Kasner
Published at: Dover Publications (March 28, 2001)
You don’t have to love math to enjoy a hand of cards, a night at the casino, or a puzzle. But your pleasure and prowess at games, gambling, and other numerically related pursuits can be heightened with this entertaining volume, in which the authors offer a fascinating view of some of the lesser-known and more imaginative aspects of mathematics.
A brief and breezy explanation of the new language of mathematics precedes a smorgasbord of such thought-provoking subjects as the googolplex (the largest definite number anyone has yet bothered to conceive of); assorted geometries plane and fancy; famous puzzles that made mathematical history; and tantalizing paradoxes.
Gamblers receive fair warning on the laws of chance; a look at rubber-sheet geometry twists circles into loops without sacrificing certain important properties; and an exploration of the mathematics of change and growth shows how calculus, among its other uses, helps trace the path of falling bombs.
Written with wit and clarity for the intelligent reader who has taken high school and perhaps college math, this volume deftly progresses from simple arithmetic to calculus and non-Euclidean geometry. It lives up to its title in every way [and] might well have been merely terrifying, whereas it proves to be both charming and exciting.” Saturday Review of Literature.
14. Introduction to Non-Euclidean Geometry (Dover Books on Mathematics)
Author: by Harold E. Wolfe
Published at: Dover Publications; Illustrated edition (October 17, 2012)
One of the first college-level texts for elementary courses in non-Euclidean geometry, this concise, readable volume is geared toward students familiar with calculus. A full treatment of the historical background explores the centuries-long efforts to prove Euclid’s parallel postulate and their triumphant conclusion.
Numerous original exercises form an integral part of the book. Topics include hyperbolic plane geometry and hyperbolic plane trigonometry, applications of calculus to the solutions of some problems in hyperbolic geometry, elliptic plane geometry and trigonometry, and the consistency of the non-Euclidean geometries.
Extensive appendixes offer background information on the foundation of Euclidean geometry, circular and hyperbolic functions, the theory of orthogonal circles and allied topics, and the elements of inversion.
15. The Fractalist: Memoir of a Scientific Maverick
Author: by Benoit Mandelbrot
Published at: Vintage; Illustrated edition (January 14, 2014)
Here is the remarkable life story of Benoit Mandelbrot, the creator of fractal geometry, and his unparalleled contributions to science mathematics, the financial world, and the arts. Mandelbrot recounts his early years in Warsaw and in Paris, where he was mentored by an eminent mathematician uncle, through his days evading the Nazis in occupied France, to his education at Caltech, Princeton, and MIT, and his illustrious career at the IBM Thomas J.
Watson Research Center. An outside to mainstream scientific research, he managed to do what others had thought impossible: develop a new geometry that combines revelatory beauty with a radical way of unfolding formerly hidden scientific laws. In the process he was able to use geometry to solve fresh, real-world problems.
With exuberance and an eloquent fluency, Benoit Mandelbrot recounts the high points of his fascinating life, offering us a glimpse into the evolution of his extraordinary mind. With full-color inserts and black-and-white photographs throughout.
16. Taxicab Geometry: An Adventure in Non-Euclidean Geometry (Dover Books on Mathematics)
Author: by Eugene F. Krause
Published at: Dover Publications; Revised edition (January 1, 1987)
This entertaining, stimulating textbook offers anyone familiar with Euclidean geometry undergraduate math students, advanced high school students, and puzzle fans of any age an opportunity to explore taxicab geometry, a simple, non-Euclidean system that helps put Euclidean geometry in sharper perspective.
In taxicab geometry, the shortest distance between two points is not a straight line. Distance is not measured as the crow flies, but as a taxicab travels the “grid” of the city street, from block to block, vertically and horizontally, until the destination is reached.
Because of this non-Euclidean method of measuring distance, some familiar geometric figures are transmitted: for example, circles become squares. However, taxicab geometry has important practical applications. As Professor Krause points out, “While Euclidean geometry appears to be a good model of the ‘natural’ world, taxicab geometry is a better model of the artificial urban world that man has built.”As a result, the book is replete with practical applications of this non-Euclidean system to urban geometry and urban planning from deciding the optimum location for a factory or a phone booth, to determining the most efficient routes for a mass transit system.