Analysis and Algebra on Differentiable Manifolds: A Workbook for Students and Teachers

Analysis and Algebra on Differentiable Manifolds: A Workbook for Students and Teachers
Author: P.M. Gadea
Publisher: Springer Science & Business Media
Total Pages: 446
Release: 2009-12-12
Genre: Mathematics
ISBN: 9048135648

A famous Swiss professor gave a student’s course in Basel on Riemann surfaces. After a couple of lectures, a student asked him, “Professor, you have as yet not given an exact de nition of a Riemann surface.” The professor answered, “With Riemann surfaces, the main thing is to UNDERSTAND them, not to de ne them.” The student’s objection was reasonable. From a formal viewpoint, it is of course necessary to start as soon as possible with strict de nitions, but the professor’s - swer also has a substantial background. The pure de nition of a Riemann surface— as a complex 1-dimensional complex analytic manifold—contributes little to a true understanding. It takes a long time to really be familiar with what a Riemann s- face is. This example is typical for the objects of global analysis—manifolds with str- tures. There are complex concrete de nitions but these do not automatically explain what they really are, what we can do with them, which operations they really admit, how rigid they are. Hence, there arises the natural question—how to attain a deeper understanding? One well-known way to gain an understanding is through underpinning the d- nitions, theorems and constructions with hierarchies of examples, counterexamples and exercises. Their choice, construction and logical order is for any teacher in global analysis an interesting, important and fun creating task.

Basic Mathematics

Basic Mathematics
Author: Serge Lang
Publisher:
Total Pages: 475
Release: 1988-01
Genre: Mathematics
ISBN: 9783540967873

A Course in Algebra

A Course in Algebra
Author: Ėrnest Borisovich Vinberg
Publisher: American Mathematical Soc.
Total Pages: 532
Release: 2003-04-10
Genre: Mathematics
ISBN: 9780821834138

Presents modern algebra. This book includes such topics as affine and projective spaces, tensor algebra, Galois theory, Lie groups, and associative algebras and their representations. It is suitable for independent study for advanced undergraduates and graduate students.

Basic Math and Pre-Algebra Workbook For Dummies

Basic Math and Pre-Algebra Workbook For Dummies
Author: Mark Zegarelli
Publisher: John Wiley & Sons
Total Pages: 315
Release: 2009-01-29
Genre: Mathematics
ISBN: 0470417498

When you have the right math teacher, learning math can be painless and even fun! Let Basic Math and Pre-Algebra Workbook For Dummies teach you how to overcome your fear of math and approach the subject correctly and directly. A lot of the topics that probably inspired fear before will seem simple when you realize that you can solve math problems, from basic addition to algebraic equations. Lots of students feel they got lost somewhere between learning to count to ten and their first day in an algebra class, but help is here! Begin with basic topics like interpreting patterns, navigating the number line, rounding numbers, and estimating answers. You will learn and review the basics of addition, subtraction, multiplication, and division. Do remainders make you nervous? You’ll find an easy and painless way to understand long division. Discover how to apply the commutative, associative, and distributive properties, and finally understand basic geometry and algebra. Find out how to: Properly use negative numbers, units, inequalities, exponents, square roots, and absolute value Round numbers and estimate answers Solve problems with fractions, decimals, and percentages Navigate basic geometry Complete algebraic expressions and equations Understand statistics and sets Uncover the mystery of FOILing Answer sample questions and check your answers Complete with lists of ten alternative numeral and number systems, ten curious types of numbers, and ten geometric solids to cut and fold, Basic Math and Pre-Algebra Workbook For Dummies will demystify math and help you start solving problems in no time!

McGraw-Hill Education Algebra I Review and Workbook

McGraw-Hill Education Algebra I Review and Workbook
Author: Sandra Luna McCune
Publisher: McGraw Hill Professional
Total Pages: 289
Release: 2019-01-18
Genre: Mathematics
ISBN: 1260128954

This engaging review guide and workbook is the ideal tool for sharpening your Algebra I skills!This review guide and workbook will help you strengthen your Algebra I knowledge, and it will enable you to develop new math skills to excel in your high school classwork and on standardized tests. Clear and concise explanations will walk you step by step through each essential math concept. 500 practical review questions, in turn, provide extensive opportunities for you to practice your new skills. If you are looking for material based on national or state standards, this book is your ideal study tool!Features:•Aligned to national standards, including the Common Core State Standards, as well as the standards of non-Common Core states and Canada•Designed to help you excel in the classroom and on standardized tests•Concise, clear explanations offer step-by-step instruction so you can easily grasp key concepts•You will learn how to apply Algebra I to practical situations•500 review questions provide extensive opportunities for you to practice what you’ve learned

The Art of Problem Solving, Volume 1

The Art of Problem Solving, Volume 1
Author: Sandor Lehoczky
Publisher: Mitchell Beazley
Total Pages: 0
Release: 2006
Genre: Mathematics
ISBN: 9780977304561

" ... offer[s] a challenging exploration of problem solving mathematics and preparation for programs such as MATHCOUNTS and the American Mathematics Competition."--Back cover