Author : Claire Romaine
Publisher : Gareth Stevens Publishing LLLP
Page : 26 pages
File Size : 33,14 MB
Release : 2016-07-15
Category : Juvenile Nonfiction
ISBN : 1482446235
Every day, were faced with mathematical situations, so much so that we dont even recognize them. This fun volume opens readers eyes to the math in their world through a walk in the park. Theyll find shapes, use numbers, compare sizes, and identify the positions of objects with help from a friendly narrator. Carefully selected photographs support the comprehensible text.
Author : Catherine Twomey Fosnot
Publisher : Firsthand Books
Page : 0 pages
File Size : 23,23 MB
Release : 2008-03
Category : Education
ISBN : 9780325010281
"Contexts for Learning Mathematics" series is designed to support a conceptual understanding of essential mathematical ideas, strategies and models. Each unit provides a two-week sequence of investigation, minilessons, games, and other contexts for learning. The series' 18 classroom-tested units are organized into grade-appropriate levels.
Author : Rebecca Wingard-Nelson
Publisher : Enslow Publishers, Inc.
Page : 52 pages
File Size : 13,57 MB
Release : 2009
Category : Juvenile Nonfiction
ISBN : 9780766029224
"Explores methods of solving pre-algebra word problems using amusement park examples"--Provided by publisher.
Author : DK
Publisher : Penguin
Page : 711 pages
File Size : 33,41 MB
Release : 2019-09-03
Category : Mathematics
ISBN : 1465494200
See how math's infinite mysteries and beauty unfold in this captivating educational book! Discover more than 85 of the most important mathematical ideas, theorems, and proofs ever devised with this beautifully illustrated book. Get to know the great minds whose revolutionary discoveries changed our world today. You don't have to be a math genius to follow along with this book! This brilliant book is packed with short, easy-to-grasp explanations, step-by-step diagrams, and witty illustrations that play with our ideas about numbers. What is an imaginary number? Can two parallel lines ever meet? How can math help us predict the future? All will be revealed and explained in this encyclopedia of mathematics. It's as easy as 1-2-3! The Math Book tells the exciting story of how mathematical thought advanced through history. This diverse and inclusive account will have something for everybody, including the math behind world economies and espionage. This book charts the development of math around the world, from ancient mathematical ideas and inventions like prehistoric tally bones through developments in medieval and Renaissance Europe. Fast forward to today and gain insight into the recent rise of game and group theory. Delve in deeper into the history of math: - Ancient and Classical Periods 6000 BCE - 500 CE - The Middle Ages 500 - 1500 - The Renaissance 1500 - 1680 - The Enlightenment 1680 - 1800 - The 19th Century 1800 - 1900 - Modern Mathematics 1900 - Present The Series Simply Explained With over 7 million copies sold worldwide to date, The Math Book is part of the award-winning Big Ideas Simply Explained series from DK Books. It uses innovative graphics along with engaging writing to make complex subjects easier to understand.
Author : Daniel S. Freed
Publisher : American Mathematical Society, IAS/Park City Mathematics Institute
Page : 476 pages
File Size : 20,57 MB
Release : 2021-12-02
Category : Mathematics
ISBN : 1470461234
This volume contains lectures from the Graduate Summer School “Quantum Field Theory and Manifold Invariants” held at Park City Mathematics Institute 2019. The lectures span topics in topology, global analysis, and physics, and they range from introductory to cutting edge. Topics treated include mathematical gauge theory (anti-self-dual equations, Seiberg-Witten equations, Higgs bundles), classical and categorified knot invariants (Khovanov homology, Heegaard Floer homology), instanton Floer homology, invertible topological field theory, BPS states and spectral networks. This collection presents a rich blend of geometry and topology, with some theoretical physics thrown in as well, and so provides a snapshot of a vibrant and fast-moving field. Graduate students with basic preparation in topology and geometry can use this volume to learn advanced background material before being brought to the frontiers of current developments. Seasoned researchers will also benefit from the systematic presentation of exciting new advances by leaders in their fields.
Author : Michael W. Mahoney
Publisher : American Mathematical Soc.
Page : 340 pages
File Size : 17,46 MB
Release : 2018-11-15
Category : Computers
ISBN : 1470435756
Nothing provided
Author : Jo Boaler
Publisher :
Page : 180 pages
File Size : 13,78 MB
Release : 1997
Category : Education
ISBN :
This is the first book of its kind to provide direct evidence for the effectiveness of traditional and progressive teaching methods. It reports on careful and extensive case studies of two schools which taught mathematics in totally different ways. Three hundred students were followed over three years and the interviews that are reproduced in the book give compelling insights into what it meant to be a student in the classrooms of the two schools. The different school approaches are compared and analyzed using student interviews, lesson observations, questionnaires given to students and staff and a range of different assessments, including GCSE examinations. Questions are raised about the effectiveness of different teaching methods in preparing students for the demands of the 'real world' and the 21st century, the impact of setted and mixed ability teaching upon student attitude and achievement, and gender and learning styles. New evidence is provided for each of these issues. The book draws some radical new conclusions about the ways that traditional teaching methods lead to limited forms of knowledge that are ineffective in non-school settings. The book will be essential reading for math teachers, parents, and policy makers in education.
Author : Roman Bezrukavnikov
Publisher : American Mathematical Soc.
Page : 449 pages
File Size : 50,87 MB
Release : 2017-12-15
Category : Mathematics
ISBN : 1470435748
This book is based on lectures given at the Graduate Summer School of the 2015 Park City Mathematics Institute program “Geometry of moduli spaces and representation theory”, and is devoted to several interrelated topics in algebraic geometry, topology of algebraic varieties, and representation theory. Geometric representation theory is a young but fast developing research area at the intersection of these subjects. An early profound achievement was the famous conjecture by Kazhdan–Lusztig about characters of highest weight modules over a complex semi-simple Lie algebra, and its subsequent proof by Beilinson-Bernstein and Brylinski-Kashiwara. Two remarkable features of this proof have inspired much of subsequent development: intricate algebraic data turned out to be encoded in topological invariants of singular geometric spaces, while proving this fact required deep general theorems from algebraic geometry. Another focus of the program was enumerative algebraic geometry. Recent progress showed the role of Lie theoretic structures in problems such as calculation of quantum cohomology, K-theory, etc. Although the motivation and technical background of these constructions is quite different from that of geometric Langlands duality, both theories deal with topological invariants of moduli spaces of maps from a target of complex dimension one. Thus they are at least heuristically related, while several recent works indicate possible strong technical connections. The main goal of this collection of notes is to provide young researchers and experts alike with an introduction to these areas of active research and promote interaction between the two related directions.
Author : Carlos E. Kenig
Publisher : American Mathematical Soc.
Page : 345 pages
File Size : 35,35 MB
Release : 2020-12-14
Category : Education
ISBN : 1470461277
The origins of the harmonic analysis go back to an ingenious idea of Fourier that any reasonable function can be represented as an infinite linear combination of sines and cosines. Today's harmonic analysis incorporates the elements of geometric measure theory, number theory, probability, and has countless applications from data analysis to image recognition and from the study of sound and vibrations to the cutting edge of contemporary physics. The present volume is based on lectures presented at the summer school on Harmonic Analysis. These notes give fresh, concise, and high-level introductions to recent developments in the field, often with new arguments not found elsewhere. The volume will be of use both to graduate students seeking to enter the field and to senior researchers wishing to keep up with current developments.
Author : Matthew Katz
Publisher : American Mathematical Soc.
Page : 224 pages
File Size : 13,14 MB
Release : 2018-10-03
Category : Mathematics
ISBN : 1470442906
This book takes the reader on a journey through Ramsey theory, from graph theory and combinatorics to set theory to logic and metamathematics. Written in an informal style with few requisites, it develops two basic principles of Ramsey theory: many combinatorial properties persist under partitions, but to witness this persistence, one has to start with very large objects. The interplay between those two principles not only produces beautiful theorems but also touches the very foundations of mathematics. In the course of this book, the reader will learn about both aspects. Among the topics explored are Ramsey's theorem for graphs and hypergraphs, van der Waerden's theorem on arithmetic progressions, infinite ordinals and cardinals, fast growing functions, logic and provability, Gödel incompleteness, and the Paris-Harrington theorem. Quoting from the book, “There seems to be a murky abyss lurking at the bottom of mathematics. While in many ways we cannot hope to reach solid ground, mathematicians have built impressive ladders that let us explore the depths of this abyss and marvel at the limits and at the power of mathematical reasoning at the same time. Ramsey theory is one of those ladders.”
