And the Rest is Just Algebra

And the Rest is Just Algebra PDF Author: Sepideh Stewart
Publisher: Springer
ISBN: 3319450530
Category : Education
Languages : en
Pages : 246

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Book Description
This book addresses college students' weak foundation in algebra, its causes, and potential solutions to improve their long-term success and understanding in mathematics as a whole. The authors, who are experts in a wide variety of fields, emphasize that these difficulties are more complex than just forgotten rules, and offer strategic approaches from a number of angles that will increase the chances of student understanding. Instructors who are frustrated with their students’ lack of skills and knowledge at college level will find this volume helpful, as the authors confront the deeper reasons why students have difficulties with Algebra and reveal how to remedy the issue.

And the Rest is Just Algebra

And the Rest is Just Algebra PDF Author: Sepideh Stewart
Publisher: Springer
ISBN: 3319450530
Category : Education
Languages : en
Pages : 246

Get Book Here

Book Description
This book addresses college students' weak foundation in algebra, its causes, and potential solutions to improve their long-term success and understanding in mathematics as a whole. The authors, who are experts in a wide variety of fields, emphasize that these difficulties are more complex than just forgotten rules, and offer strategic approaches from a number of angles that will increase the chances of student understanding. Instructors who are frustrated with their students’ lack of skills and knowledge at college level will find this volume helpful, as the authors confront the deeper reasons why students have difficulties with Algebra and reveal how to remedy the issue.

Jousting Armadillos: An Introduction to Algebra - Student Text and Workbook

Jousting Armadillos: An Introduction to Algebra - Student Text and Workbook PDF Author: Linus Christian Rollman
Publisher: Arbor Center for Teaching
ISBN: 0982136315
Category : Juvenile Nonfiction
Languages : en
Pages : 185

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Book Description
First in the Arbor Algebra series. A writing-based, common sense, whimsical & engaging introduction to algebra for middle-grade math students.

Linear Algebra Done Right

Linear Algebra Done Right PDF Author: Sheldon Axler
Publisher: Springer Science & Business Media
ISBN: 9780387982595
Category : Mathematics
Languages : en
Pages : 276

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Book Description
This text for a second course in linear algebra, aimed at math majors and graduates, adopts a novel approach by banishing determinants to the end of the book and focusing on understanding the structure of linear operators on vector spaces. The author has taken unusual care to motivate concepts and to simplify proofs. For example, the book presents - without having defined determinants - a clean proof that every linear operator on a finite-dimensional complex vector space has an eigenvalue. The book starts by discussing vector spaces, linear independence, span, basics, and dimension. Students are introduced to inner-product spaces in the first half of the book and shortly thereafter to the finite- dimensional spectral theorem. A variety of interesting exercises in each chapter helps students understand and manipulate the objects of linear algebra. This second edition features new chapters on diagonal matrices, on linear functionals and adjoints, and on the spectral theorem; some sections, such as those on self-adjoint and normal operators, have been entirely rewritten; and hundreds of minor improvements have been made throughout the text.

Introduction to Applied Linear Algebra

Introduction to Applied Linear Algebra PDF Author: Stephen Boyd
Publisher: Cambridge University Press
ISBN: 1316518965
Category : Business & Economics
Languages : en
Pages : 477

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Book Description
A groundbreaking introduction to vectors, matrices, and least squares for engineering applications, offering a wealth of practical examples.

A Book of Abstract Algebra

A Book of Abstract Algebra PDF Author: Charles C Pinter
Publisher: Courier Corporation
ISBN: 0486474178
Category : Mathematics
Languages : en
Pages : 402

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Book Description
Accessible but rigorous, this outstanding text encompasses all of the topics covered by a typical course in elementary abstract algebra. Its easy-to-read treatment offers an intuitive approach, featuring informal discussions followed by thematically arranged exercises. This second edition features additional exercises to improve student familiarity with applications. 1990 edition.

Linear Algebra Problem Book

Linear Algebra Problem Book PDF Author: Paul R. Halmos
Publisher: American Mathematical Soc.
ISBN: 1614442126
Category : Mathematics
Languages : en
Pages : 349

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Book Description
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.

Helping Children Learn Mathematics

Helping Children Learn Mathematics PDF Author: National Research Council
Publisher: National Academies Press
ISBN: 0309131987
Category : Education
Languages : en
Pages : 53

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Book Description
Results from national and international assessments indicate that school children in the United States are not learning mathematics well enough. Many students cannot correctly apply computational algorithms to solve problems. Their understanding and use of decimals and fractions are especially weak. Indeed, helping all children succeed in mathematics is an imperative national goal. However, for our youth to succeed, we need to change how we're teaching this discipline. Helping Children Learn Mathematics provides comprehensive and reliable information that will guide efforts to improve school mathematics from pre-kindergarten through eighth grade. The authors explain the five strands of mathematical proficiency and discuss the major changes that need to be made in mathematics instruction, instructional materials, assessments, teacher education, and the broader educational system and answers some of the frequently asked questions when it comes to mathematics instruction. The book concludes by providing recommended actions for parents and caregivers, teachers, administrators, and policy makers, stressing the importance that everyone work together to ensure a mathematically literate society.

Modern Algebra

Modern Algebra PDF Author: Seth Warner
Publisher: Courier Corporation
ISBN: 0486137090
Category : Mathematics
Languages : en
Pages : 852

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Book Description
Standard text provides an exceptionally comprehensive treatment of every aspect of modern algebra. Explores algebraic structures, rings and fields, vector spaces, polynomials, linear operators, much more. Over 1,300 exercises. 1965 edition.

Teach the Best and Stomp the Rest

Teach the Best and Stomp the Rest PDF Author: William C. Knaak
Publisher: Trafford Publishing
ISBN: 1466988649
Category : Education
Languages : en
Pages : 589

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Book Description
This book is an experienced analysis of the failures of American schools to provide learning for a majority of its students including those known as the forgotten halfand the reasons for those failures. It explores who is being educated, and what is known about learning in terms of prerequisites, brain differences and cultures. The book describes the failed initiatives of more money, class size reduction, school choice, magnet schools, vouchers, and merit pay for teachers. Charter schools dont cut it for a majority of our children. No Child Left Behind (NCLB) and Race To the Top (RTT) are expensive, unmitigated disasters. The American schools have mostly missed the promise of change and technology and are now engaged in massive fallacious testing, resulting in little benefit to the nation and significant harm to the children. Outrageously priced Higher Education has little to offer to improve the national education malaise, and lumbers on in its dismal, disorderly state. However, American schools in their INNOCENCE are a product of and restricted by their governmental, economic, civic, and ecologic environment. As described in the closure of the book, The Future, the major structural changes needed to re-create our national learning system have overrun national planning and thinking capacity. Fortunately, there are promising patterns of change in progress.

Do Androids Dream of Symmetric Sheaves?

Do Androids Dream of Symmetric Sheaves? PDF Author: Colin Adams
Publisher: Springer Nature
ISBN: 3031314913
Category : Mathematics
Languages : en
Pages : 240

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Book Description
Why is the Devil thrilled when Hell gets its first mathematician? How do 6 and 27 solve the diabolical murder of 9? What are the advantages a vampire has in the math world? What happens when we run out of new math to discover? How does Dr. Frankenstein create the ideal mathematical creature? What transpires when a grad student digging for theorems strikes a rich vein on the ridge overlooking Deadwood? What happens when math students band together to foment rebellion? What will a mathematician do beyond the grave to finish that elusive proof? This is just a small subset of the questions plumbed in this collection of 45 mathematically bent stories from the fertile imagination of Colin Adams. Originally appearing in The Mathematical Intelligencer, an expository mathematics magazine, these tales give a decidedly unconventional look at the world of mathematics and mathematicians. A section of notes is provided at the end of the book that explain references that may not be familiar to all and that include additional commentary by the author.