BlueCat Motors E-books > Popular Elementary

Infinite Electrical Networks by Armen H. Zemanian

By Armen H. Zemanian

Over the last twenty years a basic mathematical thought of limitless electric networks has been constructed. this is often the 1st booklet to provide the salient positive aspects of this conception in a coherent exposition. utilizing the elemental instruments of sensible research and graph idea, the writer offers the basic advancements of the previous 20 years and discusses functions to different components of arithmetic. the 1st half the e-book provides life and area of expertise theorems for either infinite-power and finite-power voltage-current regimes, and the second one part discusses tools for fixing difficulties in endless cascades and grids. A remarkable characteristic is the new invention of transfinite networks, approximately analogous to Cantor's extension of the common numbers to the transfinite ordinals. The final bankruptcy is a survey of purposes to external difficulties of partial differential equations, random walks on limitless graphs, and networks of operators on Hilbert areas. The bounce in complexity from finite electric networks to endless ones is similar to the leap in complexity from finite-dimensional to infinite-dimensional areas. a number of the questions which are conventionally requested approximately finite networks are almost immediately unanswerable for countless networks, whereas questions which are meaningless for finite networks crop up for limitless ones and result in impressive effects, comparable to the occasional cave in of Kirchoff's legislation in endless regimes. a few critical techniques haven't any counterpart within the finite case, as for instance the extremities of an enormous community, the perceptibility of infinity, and the connections at infinity.

Show description

Read more Infinite Electrical Networks by Armen H. Zemanian

Fabulous Fractions: Games, Puzzles, and Activities that Make by Lynette Long

By Lynette Long

Do not simply study Fractions ...Master Them!

Brimming with enjoyable and academic video games and actions, the paranormal Math sequence presents every thing you want to understand to turn into a grasp of arithmetic! In every one of those books, Lynette lengthy makes use of her personal precise sort that will help you actually comprehend mathematical techniques as you play with daily gadgets similar to cards, cube, cash, and paper and pencil.

within superb Fractions, you can find out all approximately fractions, from what they appear to be to tips on how to write them, to the connection among fractions and decimals, and extra. whereas taking part in interesting video games like tremendous Domino ESP and decrease It!, you are going to know about right fractions and the way to minimize them. And with video games like mix Pizza, Fraction Jeopardy!, and three-in-a-Row-Bingo, you will learn how to upload, subtract, multiply, and divide fractions once you have fun!

So why wait? bounce correct in and learn how effortless it truly is to develop into a arithmetic grasp!

Show description

Read more Fabulous Fractions: Games, Puzzles, and Activities that Make by Lynette Long

Precalculus: A Self-Teaching Guide (Wiley Self-Teaching by Steve Slavin, Ginny Crisonino

By Steve Slavin, Ginny Crisonino

The quickest, simplest way to grasp precalculus . . . by way of doing it!Do logarithmic capabilities throw you for a loop? Does the problem of discovering an inverse functionality depart you beaten? Does the legislations of Cosines make you're feeling clueless? With this useful, easy-to-follow advisor, you are going to achieve overall command of those precalc concepts-and many more-in no time at all.Precalculus: A Self-Teaching consultant comprises an algebra evaluate and whole insurance of exponential features, log services, and trigonometry. no matter if you're learning precalculus for the 1st time, are looking to refresh your reminiscence, or desire a little support for a direction, this transparent, interactive primer offers you the talents you would like. Precalculus bargains a confirmed self-teaching strategy that allows you to paintings at your personal pace-and the common self-tests and workouts toughen what you could have discovered. flip to this exceptional educating instrument and, prior to you recognize it, you can be fixing difficulties like a mathematician!

Show description

Read more Precalculus: A Self-Teaching Guide (Wiley Self-Teaching by Steve Slavin, Ginny Crisonino

Trigonometry, 8th Edition by Ron Larson

By Ron Larson

This market-leading textual content keeps to supply scholars and teachers with sound, regularly dependent factors of the mathematical strategies. Designed for a one-term direction that prepares scholars to review calculus, the recent 8th variation keeps the positive factors that experience made Trigonometry an entire answer for either scholars and teachers: attention-grabbing functions, state of the art layout, and leading edge know-how mixed with an abundance of rigorously written workouts.

Show description

Read more Trigonometry, 8th Edition by Ron Larson

Mathematical cranks by Underwood Dudley

By Underwood Dudley

A pleasant number of articles approximately those that declare they've got completed the mathematically very unlikely (squaring the circle, duplicating the cube); those that imagine they've got performed whatever they've got no longer (proving Fermat's final Theorem); those that pray in matrices; those who locate the yankee Revolution governed by means of the quantity fifty seven; those who have in universal eccentric mathematical perspectives, a few light (thinking we should always count number by way of 12s rather than 10s), a few strange (thinking that second-order differential equations will clear up all difficulties of economics, politics and philosophy). it is a really targeted ebook. it truly is written with wit and elegance and is part of people arithmetic.

Show description

Read more Mathematical cranks by Underwood Dudley

A treatise on the analytic geometry of three dimensions by George Salmon

By George Salmon

Quantity: 2 writer: London Longmans, eco-friendly topics: Geometry, Analytic -- stable Surfaces Notes: this is often an OCR reprint. there is typos or lacking textual content. There aren't any illustrations or indexes. in the event you purchase the overall Books version of this booklet you get loose trial entry to the place you could choose between greater than one million books at no cost. you can even preview the booklet there.

Show description

Read more A treatise on the analytic geometry of three dimensions by George Salmon

Introduction to inequalities by Edwin F. Beckenbach, R. Bellman

By Edwin F. Beckenbach, R. Bellman

Most folks, once they contemplate arithmetic, imagine first of numbers and equations-this quantity (x) = that quantity (y). yet specialist mathematicians, in facing amounts that may be ordered in line with their dimension, usually are extra attracted to unequal magnitudes that areequal. This publication presents an creation to the attention-grabbing international of inequalities, starting with a scientific dialogue of the relation "greater than" and the that means of "absolute values" of numbers, and finishing with descriptions of a few strange geometries. throughout the e-book, the reader wil stumble upon one of the most recognized inequalities in arithmetic.

Show description

Read more Introduction to inequalities by Edwin F. Beckenbach, R. Bellman

Critical point theory in global analysis and differential by Marston Morse, Stewart S. Cairns

By Marston Morse, Stewart S. Cairns

This can be an advent to a mathematical thought that has revolutionized the equipment and goals of world research and differential topology and has unfolded new chances in mathematical physics and engineering. This publication discusses Bott's paintings on homotopy equivalence, Smale at the Poincare challenge, Milnor and Thom on cobordism. It additionally presents a finite-dimensional creation to Morse's serious pont concept and develops Eilenberg's singular homology concept on differentiable manifolds with none international triangulation of the manifolds.

Show description

Read more Critical point theory in global analysis and differential by Marston Morse, Stewart S. Cairns