Synopsis
Excerpt from The Elements of Analytic Geometry
Analytic Geometry is a broader subject than Conic Sections. It is far more important to the student that he should acquire a familiarity with the analytic method, and thoroughly grasp the generality of its processes and the comprehensiveness of its results, than that he should obtain a detailed knowledge of any particular set of curves. Furthermore, all branches of mathematics are fundamentally and inseparably related. Any subject, therefore, should be presented in such a way as to keep it in touch with all that has preceded, and at the same time reach forward toward that which is immediately to follow, to the end that there may be no sudden transition in passing from one branch to another. Algebra and Geometry, Analytics and Calculus are mutually helpful, and should not be studied entirely apart. No one of these subjects can be finished before the others are begun.
The general plan and scope of this book is due to a firm conviction of the soundness of these statements. For this reason a fuller treatment than usual is given of the general analytic method before taking up the study of the conic sections, and subjects have been introduced not ordinarily treated in text books on Analytic Geometry. The method of the differential calculus is the only way of studying the slope of curves, and furnishes the best means of finding the equation of the tangent and the normal. The graphical method of illustration and the derivative are indispensable in the discussion of the Theory of Equations. The use of the derivative curve in the theory of equal roots, together with the fact that the ordinate of the "derivative curve" is the slope of the "integral curve," naturally suggests a possible converse relation, and leads easily and logically to the study of Quadrature, and Maxima and Minima.
It is believed that the elementary discussion of these subjects here given will tend to meet the needs of scientific and engin…
"synopsis" may belong to another edition of this title.
Other Popular Editions of the Same Title
Search results for The Elements of Analytic Geometry (Classic Reprint)
Seller Image
The Elements of Analytic Geometry (Classic Reprint)
Print on DemandSeller: Forgotten Books, London, United Kingdom
Seller rating 4 out of 5 stars
Paperback. Condition: New. Print on Demand. This book delves into the world of coordinates, distances, and areas, providing a foundational understanding of these mathematical concepts. It takes an analytical approach, using equations to describe and analyze geometric figures in both rectangular and polar coordinate systems. The author guides the reader through the fundamentals of coordinate geometry, including the plotting of points, the calculation of distances between points, and the determination of areas of polygons. By exploring these concepts, the book equips readers with the tools necessary to understand the behavior of geometric shapes and their relationships within the coordinate plane. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Seller Inventory # 9781440066795_0
Buy New
£ 16.83
Free Shipping
Ships from United Kingdom to U.S.A.
Ships from United Kingdom to U.S.A.
Quantity: Over 20 available
Stock Image
The Elements of Analytic Geometry Classic Reprint
Seller: PBShop.store US, Wood Dale, IL, U.S.A.
Seller rating 5 out of 5 stars
PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781440066795
Stock Image
The Elements of Analytic Geometry Classic Reprint
Seller: PBShop.store UK, Fairford, GLOS, United Kingdom
Seller rating 4 out of 5 stars
PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781440066795
Buy New
£ 20.71
£ 5.02 shipping
Ships from United Kingdom to U.S.A.
Ships from United Kingdom to U.S.A.
Quantity: 15 available