Mathematics

Circles

A Mathematical View

Author: Dan Pedoe

Publisher: Cambridge University Press

ISBN: 9780883855188

Category: Mathematics

Page: 102

View: 2262

Illuminates the fundamental aspects of geometry where the circle plays an important role.
Mathematics

Mathematical Cranks

Author: Underwood Dudley

Publisher: Cambridge University Press

ISBN: 9780883855072

Category: Mathematics

Page: 372

View: 7471

A delightful collection of articles about people who claim they have achieved the mathematically impossible (squaring the circle, duplicating the cube); people who think they have done something they have not (proving Fermat's Last Theorem); people who pray in matrices; people who find the American Revolution ruled by the number 57; people who have in common eccentric mathematical views, some mild (thinking we should count by 12s instead of 10s), some bizarre (thinking that second-order differential equations will solve all problems of economics, politics and philosophy). This is a truly unique book. It is written with wit and style and is a part of folk mathematics.
Mathematics

Mathematical Adventures for Students and Amateurs

Author: Tatiana Shubin

Publisher: MAA

ISBN: 9780883855485

Category: Mathematics

Page: 291

View: 8448

Carefully selected highlights of the Bay Area Math Adventures (BAMA), a lecture series for high school students.
Juvenile Nonfiction

Spectrum Geometry

Author: N.A

Publisher: Carson-Dellosa Publishing

ISBN: 148382439X

Category: Juvenile Nonfiction

Page: 128

View: 4367

With the help of Spectrum Geometry for grades 6 to 8, children develop problem-solving math skills they can build on. This standards-based workbook focuses on middle school geometry concepts like points, lines, rays, angles, triangles, polygons, circles, perimeter, area, and more. Middle school is known for its challenges—let Spectrum ease some stress. Developed by education experts, the Spectrum Middle School Math series strengthens the important home-to-school connection and prepares children for math success. Filled with easy instructions and rigorous practice, Spectrum Geometry helps children soar in a standards-based classroom!
Mathematics

777 Mathematical Conversation Starters

Author: John de Pillis

Publisher: MAA

ISBN: 9780883855409

Category: Mathematics

Page: 344

View: 8384

Illustrated book showing that there are few degrees of separation between mathematics and topics that provoke interesting conversations.
Mathematics

Proof and Other Dilemmas

Mathematics and Philosophy

Author: Roger Simons

Publisher: MAA

ISBN: 9780883855676

Category: Mathematics

Page: 346

View: 1724

For the majority of the twentieth century, philosophers of mathematics focused their attention on foundational questions. However, in the last quarter of the century they began to return to basics, and two new schools of thought were created: social constructivism and structuralism. The advent of the computer also led to proofs and development of mathematics assisted by computer, and to questions concerning the role of the computer in mathematics. This book of sixteen original essays is the first to explore this range of new developments in the philosophy of mathematics, in a language accessible to mathematicians. Approximately half the essays were written by mathematicians, and consider questions that philosophers have not yet discussed. The other half, written by philosophers of mathematics, summarise the discussion in that community during the last 35 years. A connection is made in each case to issues relevant to the teaching of mathematics.
Mathematics

Calculus Gems

Brief Lives and Memorable Mathematics

Author: George F. Simmons

Publisher: MAA

ISBN: 9780883855614

Category: Mathematics

Page: 355

View: 2789

Calculus Gems, a collection of essays written about mathematicians and mathematics, is a spin-off of two appendices (""Biographical Notes"" and ""Variety of Additional Topics"") found in Simmons' 1985 calculus book. With many additions and some minor adjustments, the material will now be available in a separate softcover volume. The text is suitable as a supplement for a calculus course and/or a history of mathematics course, The overall aim is bound up in the question, ""What is mathematics for?"" and in Simmons' answer, ""To delight the mind and help us understand the world"". The essays are independent of one another, allowing the instructor to pick and choose among them. Part A, ""Brief Lives"", is a biographical history of mathematics from earliest times (Thales, 625-547 BC) through the late 19th century (Weierstrass, 1815-1897) that serves to connect mathematics to the broader intellectual and social history of Western civilization. Part B, ""Memorable Mathematics"", is a collection of interesting topics from number theory, geometry, and science arranged in an order roughly corresponding to the order of most calculus courses. Some of these sections have a few problems for the student to solve. Students can gain perspective on the mathematical experience and learn some mathematics not contained in the usual courses, and instructors can assign student papers and projects based on the essays. The book teaches by example that mathematics is more than computation. Original illustrations of influential mathematicians in history and their inventions accompany the brief biographies and mathematical discussions.
Computers

Cryptology

Author: Albrecht Beutelspacher

Publisher: MAA

ISBN: 9780883855041

Category: Computers

Page: 156

View: 5210

The art & science of secret writing. Provides ideal methods to solve the problems of transmitting information secretly & securely.
Mathematics

Proofs and Confirmations

The Story of the Alternating-Sign Matrix Conjecture

Author: David M. Bressoud

Publisher: Cambridge University Press

ISBN: 1316582752

Category: Mathematics

Page: N.A

View: 364

This is an introduction to recent developments in algebraic combinatorics and an illustration of how research in mathematics actually progresses. The author recounts the story of the search for and discovery of a proof of a formula conjectured in the late 1970s: the number of n x n alternating sign matrices, objects that generalize permutation matrices. While apparent that the conjecture must be true, the proof was elusive. Researchers became drawn to this problem, making connections to aspects of invariant theory, to symmetric functions, to hypergeometric and basic hypergeometric series, and, finally, to the six-vertex model of statistical mechanics. All these threads are brought together in Zeilberger's 1996 proof of the original conjecture. The book is accessible to anyone with a knowledge of linear algebra. Students will learn what mathematicians actually do in an interesting and new area of mathematics, and even researchers in combinatorics will find something new here.
Juvenile Nonfiction

Spectrum Critical Thinking for Math, Grade K

Author: N.A

Publisher: Carson-Dellosa Publishing

ISBN: 1483839559

Category: Juvenile Nonfiction

Page: 128

View: 6960

Filled with grade-specific activities for the classroom and real world, Spectrum(R) Critical Thinking for Math for kindergarten provides problem-solving strategies for: -counting -writing -addition -subtraction -measurement -data -geometry This workbook is aligned with current state standards. Spectrum Critical Thinking for Math helps extend classroom learning to real-world scenarios. Packed with problem-solving instructions, math reasoning questions, and word problems, this series challenges children to think critically while building and applying math skills both in and out of the classroom. The testing sections help your child review and retain knowledge, and the answer key provides insight into different problem-solving methods and strategies. From early learning to middle grades, Spectrum supports the educational journey with comprehensive, standards-based practice. Each grade-specific title is designed to enhance and reinforce classroom learning while preparing children for the year ahead, test success, and skill mastery. Whatever your need, Spectrum is with you every step of the way.
Juvenile Nonfiction

Enrichment Math, Grade 6

Author: Spectrum

Publisher: Carson-Dellosa Publishing

ISBN: 0769659160

Category: Juvenile Nonfiction

Page: 128

View: 9947

Our best-selling Spectrum series adds real-world math practice! Spectrum has now expanded to include Spectrum Enrichment Math, which focuses on real-world applications of math curriculum. Featuring comprehensive instruction and practice with word problems that were developed with the latest standards-based teaching methods, Spectrum Enrichment Math provides examples of how the math skills students learn in school apply to everyday life with challenging, multi-step problems. Perfect as a supplement to classroom work or as a home school resource, as well as for proficiency test preparation, these workbooks are the essential source for parents and teachers to help bring math skills out of the textbook and into the student's world. Spectrum Enrichment Math Grade 6 helps young learners improve and strengthen their math skills with real-world word problems, covering topics such as: • Fractions, decimals, and percents • Metric and customary measurement • Geometry • Probability and statistics
Juvenile Nonfiction

Spectrum Math Workbook, Grade 6

Author: Spectrum

Publisher: Carson-Dellosa Publishing

ISBN: 1483808742

Category: Juvenile Nonfiction

Page: 160

View: 362

Spectrum Math for grade 6 keeps kids at the top of their math game using progressive practice, math in everyday settings, and tests to monitor progress. The math workbook covers multiplying and dividing decimals and fractions, complex measurements, and beginning algebra. --A best-selling series for well over 15 years, Spectrum still leads the way because it works. It works for parents who want to give their child a leg up in math. It works for teachers who want their students to meetÑand surpassÑlearning goals. And it works to help children build confidence and advance their skills. No matter what subject or grade, Spectrum provides thorough practice and focused instruction to support student success.
Juvenile Nonfiction

Spectrum Test Prep, Grade 7

Author: N.A

Publisher: Carson-Dellosa Publishing

ISBN: 1483818594

Category: Juvenile Nonfiction

Page: 128

View: 6180

Spectrum Test Prep Grade 7 includes strategy-based activities for language arts and math, test tips to help answer questions, and critical thinking and reasoning. The Spectrum Test Prep series for grades 1 to 8 was developed by experts in education and was created to help students improve and strengthen their test-taking skills. The activities in each book not only feature essential practice in reading, math, and language arts test areas, but also prepare students to take standardized tests. Students learn how to follow directions, understand different test formats, use effective strategies to avoid common mistakes, and budget their time wisely. Step-by-step solutions in the answer key are included. These comprehensive workbooks are an excellent resource for developing skills for assessment success. Spectrum, the best-selling workbook series, is proud to provide quality educational materials that support your students’ learning achievement and success.
Juvenile Nonfiction

Spectrum Math, Grade 7

Author: School Specialty Publishing Staff,Spectrum,Spectrum Staff

Publisher: Spectrum

ISBN: 0769637078

Category: Juvenile Nonfiction

Page: 188

View: 7554

Test with success using the Spectrum Math workbook! This book helps students in grade 7 apply essential math skills to everyday life. The lessons focus on ratio and proportion, fractions, percents, calculating interest, perimeter, volume, and statistics, and the activities help extend problem-solving and analytical abilities. The book features easy-to-understand directions, is aligned to national and state standards, and also includes a complete answer key. --Today, more than ever, students need to be equipped with the essential skills they need for school achievement and for success on proficiency tests. The Spectrum series has been designed to prepare students with these skills and to enhance student achievement. Developed by experts in the field of education, each title in the Spectrum workbook series offers grade-appropriate instruction and reinforcement in an effective sequence for learning success. Perfect for use at home or in school, and a favorite of parents, homeschoolers, and teachers worldwide, Spectrum is the learning partner students need for complete achievement.
Juvenile Nonfiction

Spectrum Data Analysis and Probability

Author: N.A

Publisher: Carson-Dellosa Publishing

ISBN: 1483824403

Category: Juvenile Nonfiction

Page: 128

View: 9872

With the help of Spectrum Data Analysis and Probability for grades 6 to 8, children develop problem-solving math skills they can build on. This standards-based workbook focuses on middle school concepts like operations, ratios, probability, graph interpretation, and more. Middle school is known for its challenges—let Spectrum ease some stress. Developed by education experts, the Spectrum Middle School Math series strengthens the important home-to-school connection and prepares children for math success. Filled with easy instructions and rigorous practice, Spectrum Data Analysis and Probability helps children soar in a standards-based classroom!
Mathematics

Spectral Theory and Mathematical Physics: Ergodic Schrödinger operators, singular spectrum, orthogonal polynomials, and inverse spectral theory

Author: Barry Simon

Publisher: American Mathematical Soc.

ISBN: 0821842498

Category: Mathematics

Page: 948

View: 6278

This Festschrift had its origins in a conference called SimonFest held at Caltech, March 27-31, 2006, to honor Barry Simon's 60th birthday. It is not a proceedings volume in the usual sense since the emphasis of the majority of the contributions is on reviews of the state of the art of certain fields, with particular focus on recent developments and open problems. The bulk of the articles in this Festschrift are of this survey form, and a few review Simon's contributions to a particular area. Part 1 contains surveys in the areas of Quantum Field Theory, Statistical Mechanics, Nonrelativistic Two-Body and $N$-Body Quantum Systems, Resonances, Quantum Mechanics with Electric and Magnetic Fields, and the Semiclassical Limit. Part 2 contains surveys in the areas of Random and Ergodic Schrodinger Operators, Singular Continuous Spectrum, Orthogonal Polynomials, and Inverse Spectral Theory. In several cases, this collection of surveys portrays both the history of a subject and its current state of the art. Exhaustive lists of references enhance the presentation offered in these surveys. A substantial part of the contributions to this Festschrift are survey articles on the state of the art of certain areas with special emphasis on open problems. This will benefit graduate students as well as researchers who want to get a quick, yet comprehensive introduction into an area covered in this volume.
Juvenile Nonfiction

Spectrum Math Workbook, Grade 8

Author: Spectrum

Publisher: Carson-Dellosa Publishing

ISBN: 1483808769

Category: Juvenile Nonfiction

Page: 160

View: 8277

Spectrum Math for grade 8 keeps kids at the top of their math game using progressive practice, math in everyday settings, and tests to monitor progress. The math workbook covers rational and irrational numbers, solving equations, and interpreting statistical data. --A best-selling series for well over 15 years, Spectrum still leads the way because it works. It works for parents who want to give their child a leg up in math. It works for teachers who want their students to meetÑand surpassÑlearning goals. And it works to help children build confidence and advance their skills. No matter what subject or grade, Spectrum provides thorough practice and focused instruction to support student success.
History

Lines Drawn Upon the Water

First Nations and the Great Lakes Borders and Borderlands

Author: Karl S. Hele

Publisher: Wilfrid Laurier Univ. Press

ISBN: 1554580048

Category: History

Page: 351

View: 4907

Proceedings of a conference held at University of Western Ontario, London, Ont., Feb. 11-12, 2005.
Juvenile Nonfiction

Spectrum Science, Grade 6

Author: Spectrum

Publisher: Carson-Dellosa Publishing

ISBN: 1483811700

Category: Juvenile Nonfiction

Page: 176

View: 4784

Cultivate a love for science by providing standards-based practice that captures childrenÕs attention. Spectrum Science for grade 6 provides interesting informational text and fascinating facts about thermodynamics, biological adaptation, and geological disturbances. --When children develop a solid understanding of science, theyÕre preparing for success. Spectrum Science for grades 3-8 improves scientific literacy and inquiry skills through an exciting exploration of natural, earth, life, and applied sciences. With the help of this best-selling series, your young scientist can discover and appreciate the extraordinary world that surrounds them!
Juvenile Nonfiction

Math, Grade 7

Author: Thomas Richards

Publisher: Carson-Dellosa Publishing

ISBN: 0768238072

Category: Juvenile Nonfiction

Page: 192

View: 6197

Test with success using the Spectrum Math workbook! This book helps students in grade 7 apply essential math skills to everyday life. The lessons focus on ratio and proportion, fractions, percents, calculating interest, perimeter, volume, and statistics, and the activities help extend problem-solving and analytical abilities. The book features easy-to-understand directions and includes a complete answer key. Today, more than ever, students need to be equipped with the skills required for school achievement and success on proficiency tests. This 192-page book aligns with state and national standards, is perfect for use at home or in school, and is favored by parents, homeschoolers, and teachers.