First Book In General Mathematics Classic Reprint

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First Book in General Mathematics (Classic Reprint)

Robert King Atwell
First Book in General Mathematics Classic Reprint Book PDF

Author : Robert King Atwell
Publisher : Forgotten Books
Page : 274 pages
File Size : 40,8 Mb
Release : 2017-07-07
Category : Mathematics
ISBN : 0282832467

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First Book in General Mathematics (Classic Reprint) by Robert King Atwell Pdf

Excerpt from First Book in General Mathematics The pedagogical remedy for such a state of affairs may be summed up in the words practical use or relation to life. Interest can be aroused and maintained only when there is a tangible relation between the subject matter studied and the out-of-school life of the student. This idea is not new, but has been applied in various forms at different times. In the Colebrook School, for example, in the northern part of New Hampshire, where the school is being made over to fit the needs of the community, the course in geometry has been substituted by a course in practical mathematics which includes: a - the algebra of the equation; b - the application of geometry to practical measurements; c - the elementary principles of surveying. Professor Parker, in his book on High School Methods, has the following to say regarding high-school mathematics: The order of topics in a subject Should be decided by the needs, capacities and interests of high-school students, not by the nature of the subject itself, nor the interests of a specialist in the subject. In high-school mathematics this standard will require the inclusion of many practical prob lems and the mixing of the easier topics of algebra and geometry, and some arithmetic, in the first year. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

General Mathematics

William David Reeve
General Mathematics Book PDF

Author : William David Reeve
Publisher : Forgotten Books
Page : 472 pages
File Size : 43,9 Mb
Release : 2017-10-20
Category : Mathematics
ISBN : 0265537673

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General Mathematics by William David Reeve Pdf

Excerpt from General Mathematics: Book Two While the emphasis in the first book was placed largely upon algebra, the emphasis here is placed principally upon geometry. At the same time, however, the earlier work in arithmetic, algebra, and trigonometry is kept before the stu dent by means of reviews and applications, and enough new material is introduced to give to the student that knowledge of the fundamentals of these subjects which he should have at the end of his second year's work. The fundamental laws and operations of arithmetic are kept before the student by their uses in connection with the develop ment of formulas, new topics in algebra, and applied problems. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

A First Book in Algebra (Classic Reprint)

Wallace Clarke Boyden
A First Book in Algebra Classic Reprint Book PDF

Author : Wallace Clarke Boyden
Publisher : Forgotten Books
Page : 182 pages
File Size : 46,7 Mb
Release : 2017-11-22
Category : Mathematics
ISBN : 0331716909

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A First Book in Algebra (Classic Reprint) by Wallace Clarke Boyden Pdf

Excerpt from A First Book in Algebra IN preparing this book, the author had especially in mind classes in the upper grades Of grammar schools, though the work will be found equally well adapted to the needs of any classes of beginners. The ideas which have guided in the treatment Of the subject are the following: The study of algebra is a continuation of what the pupil has been doing for years, but it is expected that this new work will result in a knowledge of general truths about numbers, and an in creased power of clear thinking. All the differences between this work and that pursued in arithmetic may be traced to the introduction of two new elements, namely, negative numbers and the representation of numbers by letters. The solution of problems is one of the most valuable portions of the work, in that it serves to develop the thought-power of the pupil at the same time that it broadens his knowledge of numbers and their relations. Powers are developed and habits formed only by per sistent, long-continued practice. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

Mathematics Form and Function

Saunders MacLane
Mathematics Form and Function Book PDF

Author : Saunders MacLane
Publisher : Springer Science & Business Media
Page : 486 pages
File Size : 53,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461248729

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Mathematics Form and Function by Saunders MacLane Pdf

This book records my efforts over the past four years to capture in words a description of the form and function of Mathematics, as a background for the Philosophy of Mathematics. My efforts have been encouraged by lec tures that I have given at Heidelberg under the auspices of the Alexander von Humboldt Stiftung, at the University of Chicago, and at the University of Minnesota, the latter under the auspices of the Institute for Mathematics and Its Applications. Jean Benabou has carefully read the entire manuscript and has offered incisive comments. George Glauberman, Car los Kenig, Christopher Mulvey, R. Narasimhan, and Dieter Puppe have provided similar comments on chosen chapters. Fred Linton has pointed out places requiring a more exact choice of wording. Many conversations with George Mackey have given me important insights on the nature of Mathematics. I have had similar help from Alfred Aeppli, John Gray, Jay Goldman, Peter Johnstone, Bill Lawvere, and Roger Lyndon. Over the years, I have profited from discussions of general issues with my colleagues Felix Browder and Melvin Rothenberg. Ideas from Tammo Tom Dieck, Albrecht Dold, Richard Lashof, and Ib Madsen have assisted in my study of geometry. Jerry Bona and B.L. Foster have helped with my examina tion of mechanics. My observations about logic have been subject to con structive scrutiny by Gert Miiller, Marian Boykan Pour-El, Ted Slaman, R. Voreadou, Volker Weispfennig, and Hugh Woodin.

Pure Mathematics, Including Arithmetic, Algebra, Geometry, and Plane Trigonometry (Classic Reprint)

Edward Atkins
Pure Mathematics Including Arithmetic Algebra Geometry and Plane Trigonometry Classic Reprint Book PDF

Author : Edward Atkins
Publisher : Forgotten Books
Page : 426 pages
File Size : 44,7 Mb
Release : 2017-10-20
Category : Mathematics
ISBN : 0265519802

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Pure Mathematics, Including Arithmetic, Algebra, Geometry, and Plane Trigonometry (Classic Reprint) by Edward Atkins Pdf

Excerpt from Pure Mathematics, Including Arithmetic, Algebra, Geometry, and Plane Trigonometry The special Object of the present work is to meet the requirements of the Science and Art Department's Examina tions in the first three stages of Pure Mathematics as set down in the Syllabus of the Science Directory. This will account for the arrangement of the subject matter. I hope, how ever, that it will be found not unsuitable as a general class book in Elementary Mathematics. In the Arithmetical Section my Object has been to deduce the rules from first principles, avoiding as much as possible algebraical considerations. The Geometry consists simply of the first three books of Euclid's Elements with exercises, the only point calling for remark being the marginal notes. I have found it useful in class teaching to put down upon a blackboard the chief steps of the proposition - just those points, in fact, which it is necessary to retain in the memory; and to encourage the pupil to depend upon himself for supplying the connecting links. This skeleton, as it were, of the proposition is placed in the margin, with the hope that it will be specially appreciated by many students of the industrial classes to whom the language Of Euclid is ordinarily an insuperable barrier. Particular reference is here made to such of those classes as have grown up to almost manhood without any mathematical training. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

The Teaching and History of Mathematics in the United States (Classic Reprint)

Florian Cajori
The Teaching and History of Mathematics in the United States Classic Reprint Book PDF

Author : Florian Cajori
Publisher : Unknown
Page : 406 pages
File Size : 51,9 Mb
Release : 2015-07-09
Category : History
ISBN : 1331043182

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The Teaching and History of Mathematics in the United States (Classic Reprint) by Florian Cajori Pdf

Excerpt from The Teaching and History of Mathematics in the United States On the study of mathematics in elementary schools of the American colonies but little can be said. In early colonial days schools did not exist except in towns and in the more densely settled districts; and oven where schools were kept, the study of mathematics was often not pursued at all, or consisted simply in learning to count and to perform the fundamental operations with integral numbers. Thus, in Hampstead, N. H., in 1750, it was voted "to hire a school-master for six mouths in ye summer season to teach ye children to read and write." Arithmetic had not yet been introduced there. As late as the beginning of this century there were schools in country districts in which arithmetic was not taught at all. Bronson Alcott, the prominent educator, born in Massachusetts in 1799, in describing the schools of his boyhood, says: "Until within a few years no studies have been permitted in the day school but spelling, reading, and writing. Arithmetic was taught by a few instructors one or two evenings in a week. But in spite of the most determined opposition arithmetic is now permitted in the day school." This was in Massachusetts at the beginning of this century. In secondary schools, "ciphering" was taught during colonial times, which consisted generally in drilling students in the manipulation of integral numbers. He was an exceptional teacher who possessed a fair knowledge of "fractions" and the "rule of three," and if some pupil of rare genius managed to master fractions, or even pass beyond the "rule of three," then he was judged a finished mathematician. The best teachers of those days were college students or college graduates who engaged in teaching as a stepping-stone to something better. An example of this class of teachers was John Adams, afterwards President of the United States. Immediately after graduating at Harvard and before entering upon the study of law, he presided, for a few years, over the grammar school at Worcester. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

A First Course in Nomography (Classic Reprint)

S. Brodetsky
A First Course in Nomography Classic Reprint Book PDF

Author : S. Brodetsky
Publisher : Unknown
Page : 152 pages
File Size : 47,5 Mb
Release : 2015-07-21
Category : Mathematics
ISBN : 1331952484

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A First Course in Nomography (Classic Reprint) by S. Brodetsky Pdf

Excerpt from A First Course in Nomography In many branches of science, in engineering practice, in technology, in industry and in military science, Nomography is a recognised means of carrying out graphical calculations. The ballistic constant in gunnery, flame temperature in the research of coal-gas combustion, the angle of twist in a thread of given thickness with a given number of turns per inch, the conversion of counts in the textile industry, can all be calculated by means of nomograms. Nomographic charts are simple and certain in use, so that calculations formerly entrusted to skilled and responsible computers can now be safely left to the care of a comparatively unskilled subordinate. It is the object of this First Course to offer a clear and elementary account of the construction and use of such charts. The method of treatment chosen is based on experience gained in the making of nomograms for various technological departments in the University of Leeds, and in other ways. It is a treatment that should be found useful by the reader who desires to become acquainted both with the theory of nomography and with its practical use. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

First-Year Mathematics for Secondary Schools (Classic Reprint)

George William Myers
First Year Mathematics for Secondary Schools Classic Reprint Book PDF

Author : George William Myers
Publisher : Forgotten Books
Page : 382 pages
File Size : 48,7 Mb
Release : 2018-03-24
Category : Mathematics
ISBN : 0365472654

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First-Year Mathematics for Secondary Schools (Classic Reprint) by George William Myers Pdf

Excerpt from First-Year Mathematics for Secondary Schools This volume aims to present in teachable form an inter weaving Of the more concrete and the easier portions of the first courses in both algebra and geometry. It is intended as a text for students of the first year of secondary schools. The type of work begun here will be continued by a second year text, to appear soon and to include not less than the rest of the subject-matters that make up the customary two years of required secondary work in algebra and plane geometry. The present book places chief emphasis upon algebra, but weaves in a considerable body of related fundamental notions and principles Of geometry, even advancing somewhat in one direction or another upon the most concrete, graphic, and practical aspects of elementary geometry. Geometrical treat ments are at first intuitive, inductive, and experimental, fol lowed in a few instances by the quasi-experimental methods of superposition. A like informality as to method characterizes the first half of the algebra. The algebraic treatments feature distinctly: (i) the liberal use of inductions from arithmetic; (2) the early and persistent use of the equation, both as an instrument for problem - solving, and as a means of suggesting and of treating topics; (3) the early, varied, and systematic use Of pictured and graphic modes of rendering algebraic truths Vivid and appealing to beginners. The algebra of the last half of the book is more formally deductive in character. Even as early as p. 26 the four pro cess-axioms are given as simple statements of the four ways in which equations have been changed in solving arithmetical and mensurational problems. They are stated as laws forusing the equation, and are given only as much generality as the antecedent work justifies. Transformations of equations are then made on the basis of these laws and of others brought out from time to time as the work proceeds, until p. 216 is reached, where a fifth general axiom is added, and the five are here given final statement. These five axioms are hence forth made the reasons for all changes in equations. The root-axiom is added later when an ocrasion to use it arises. Thus the transition from the informal procedure of the earlier part of the algebra to the formal procedure of the later part is gradual, while throughout the latter half the reasoning becomes more and more highly deductive. This is in accord with what both Classroom practice and a-priori reasoning Show to be the natural order for secondary mathematical education. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

The Collected Mathematical Papers of Arthur Cayley, Vol. 12 (Classic Reprint)

Arthur Cayley
The Collected Mathematical Papers of Arthur Cayley Vol 12 Classic Reprint Book PDF

Author : Arthur Cayley
Publisher : Forgotten Books
Page : 674 pages
File Size : 54,7 Mb
Release : 2017-09-12
Category : Mathematics
ISBN : 1528349628

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The Collected Mathematical Papers of Arthur Cayley, Vol. 12 (Classic Reprint) by Arthur Cayley Pdf

Excerpt from The Collected Mathematical Papers of Arthur Cayley, Vol. 12 General curvilinear coordinates, the terms containing differential coefficients of the first order are presented under a different form. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

An Introduction to Algebra

Jeremiah Day
An Introduction to Algebra Book PDF

Author : Jeremiah Day
Publisher : Forgotten Books
Page : 344 pages
File Size : 55,7 Mb
Release : 2017-10-26
Category : Mathematics
ISBN : 026577277X

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An Introduction to Algebra by Jeremiah Day Pdf

Excerpt from An Introduction to Algebra: Being the First Part of a Course of Mathematics, Adapted to the Method of Instruction in the American Colleges A particular demonstration is sometimes substituted for a general one, when the application of the principle to other cases is obvious. The examples are not often taken from philosophical subjects, as the learner is supposed to be fa miliar with none of the sciences except arithmetic. In treat ing of negative quantities, frequent references are made to mercantile concerns, to debt, and credit, &c. These are merely for the purpose of illustration. The whole doctrine. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

Rational Arithmetic Complete (Classic Reprint)

George P. Lord
Rational Arithmetic Complete Classic Reprint Book PDF

Author : George P. Lord
Publisher : Unknown
Page : 278 pages
File Size : 50,5 Mb
Release : 2015-08-05
Category : Mathematics
ISBN : 1332329888

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Rational Arithmetic Complete (Classic Reprint) by George P. Lord Pdf

Excerpt from Rational Arithmetic Complete Rational Arithmetic is intended for use in business colleges and in commercial high schools, by pupils who have completed the equivalent of the eighth or ninth grade in the public school system. While deficiencies of early training may be remedied by its use, it is not intended as a textbook for those who are approaching the subject for the first time. Neither is it intended to take the place of any of the many excellent works now in use in the grades for the purpose of developing a general understanding of mathematical principles. Such books, while they have satisfactorily discharged this function, have failed to develop the accuracy and facility so vitally essential in commercial calculations. Other commercial arithmetics have tried to overcome this weakness by following similar plans of instruction in abridged form. Rational Arithmetic follows a very different plan. It is purely a vocational work and aims to teach the "how" rather than the "why." It is a reference book of commercial operations, rather than a method of presentation, and should be so used. Part One is a collection of practice exercises arranged along the lines of the generally accepted order of presentation. Part Two contains illustrated solutions covering the entire range of commercial arithmetic as generally understood. The methods used are those of business. The explanations are expressed in language which may be understood easily, rather than in the more scholarly language usually employed. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

First Lessons in Geometry

Alpheus Crosby
First Lessons in Geometry Book PDF

Author : Alpheus Crosby
Publisher : Forgotten Books
Page : 178 pages
File Size : 48,9 Mb
Release : 2017-12
Category : Mathematics
ISBN : 0332304620

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First Lessons in Geometry by Alpheus Crosby Pdf

Excerpt from First Lessons in Geometry: Upon the Model of Colburn's First Lessons in Arithmetic The following work is stated in the title to be upon the model of Colburn's First Lessons in Arithmetic, because no other method occurred to me of presenting a general view of its plan, which would be at once so brief and so well understood. Without aiming at minute resemblance, and certainly without challenging any comparison in merit, it is an imitation of that admirable work, which has intro duced so entire a revolution in the mode of teaching Arith metic in our country, in the following particulars. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

School Algebra (Classic Reprint)

C. A. van Velzer
School Algebra Classic Reprint Book PDF

Author : C. A. van Velzer
Publisher : Forgotten Books
Page : 384 pages
File Size : 52,9 Mb
Release : 2018-01-30
Category : Mathematics
ISBN : 0267286422

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School Algebra (Classic Reprint) by C. A. van Velzer Pdf

Excerpt from School Algebra The present volume is issued in the hope that it will assist the teacher in the effort to get pupils to Mink and that it will induce pupils to place the subject of Algebra on a rational instead of an arbitrary basis, to work from principles rather than from rules. In the first part of the work we have pursued what is termed the inductive method, but we do not wish this understood as that method which infers general principles from an accumulation of particular cases. This is the inductive reasoning of the natural sciences. But we believe it is never legitimate in mathematics. Induction, as we use the term, means that method which proceeds from the particular to the general. By particular cases, which gradually increase in generality, the mind of the learner is prepared to appreciate the gen eral case, but this general case must so present itself to the learner's mind that he sees that the truth stated must be so and cannot possibly be otherwise. It will be noticed that we have not thought it necessary to complete one subject before taking up another, but subjects have sometimes been treated in an elementary way at first and more completely at some subsequent part of the book. We believe that by this plan students can follow the work more easily and with more profit, and at the same time we are enabled to treat some subjects, especially Factors, Multiples, and Fractions, more fully than is ordinarily done. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

Amusements in Mathematics (Classic Reprint)

Henry Ernest Dudeney
Amusements in Mathematics Classic Reprint Book PDF

Author : Henry Ernest Dudeney
Publisher : Forgotten Books
Page : 272 pages
File Size : 54,5 Mb
Release : 2017-09-16
Category : Games & Activities
ISBN : 1528062213

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Amusements in Mathematics (Classic Reprint) by Henry Ernest Dudeney Pdf

Excerpt from Amusements in Mathematics In-issuing this new volume Of my Mathematical Puzzles, Of which some have appeared in the periodical press and others are given here for the first time, I must acknowledge the encouragement that I have received from many unknown correspondents, at home and abroad, who have expressed a desire to have the problems in a collected form, with some Of the solutions given at greater length than is possible in magazines and newspapers. Though I have included a few Old puzzles that have interested the world for generations, where I felt that there was something new to be said about them, the problems are in the main original. It is true that some Of these have become widely known through the press, and it is possible that the reader may be glad to know their source. On the question Of Mathematical Puzzles in general there is, perhaps. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

A First Course in Analytical Geometry

Charles Nelson Schmall
A First Course in Analytical Geometry Book PDF

Author : Charles Nelson Schmall
Publisher : Forgotten Books
Page : 342 pages
File Size : 46,5 Mb
Release : 2017-10-22
Category : Mathematics
ISBN : 026659039X

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A First Course in Analytical Geometry by Charles Nelson Schmall Pdf

Excerpt from A First Course in Analytical Geometry: Plane and Solid With Numerous Examples The vital difference between this book and similar works is that it does not attempt to perform the duty of both teacher and text-book at the same time. Many recent books contain too much in the way of spoon-feeding, and leave little or noth ing for the teacher. Such works, in general, are a failure pedagogically. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.