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Sinopsis
Analytic Geometry and Calculus by Frederick S. Woods is a comprehensive textbook that covers the fundamentals of both analytic geometry and calculus. The book is designed to provide students with a thorough understanding of these two branches of mathematics, which are essential for success in many fields, including engineering, physics, and mathematics.The book begins with an introduction to analytic geometry, which covers topics such as the Cartesian coordinate system, lines and circles, conic sections, and transformations. The second part of the book focuses on calculus, including limits, derivatives, integrals, and applications of calculus.Throughout the book, the author provides clear explanations of the concepts and techniques involved, and includes numerous examples and exercises to help students develop their skills. The book also includes a number of helpful features, such as summaries of key concepts, review questions, and answers to selected exercises.Overall, Analytic Geometry and Calculus is an excellent resource for students who are looking to develop a solid foundation in these important areas of mathematics. Whether you are studying for a degree in mathematics, engineering, or physics, or simply want to improve your understanding of these subjects, this book is an essential resource.This scarce antiquarian book is a facsimile reprint of the old original and may contain some imperfections such as library marks and notations. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions, that are true to their original work.
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Reseña del editor
This scarce antiquarian book is a facsimile reprint of the original. Due to its age, it may contain imperfections such as marks, notations, marginalia and flawed pages. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions that are true to the original work.
Reseña del editor
The present work is a revision and abridgment of the authors Course in Mathematics forS tudents of Engineering and Applied Science. The condensation of a two-volume work hito a single volume lias been made possible partly by the omission of some topics, but more especially by a rearrangement of subject matter and new methods of treatment. A mong tlie subjects omitted are determinants, much of the general theory of equations, the general equation of the conic sections, polars and diameters related to conies, center of curvature, evolutes, certain special methods of integration, complex numbers, and some types of differential equations. All these subjects, wliile interesting and important, can well be postponed to a later course, especially as their inclusion in the present course would mean the crowding out, or less thorougli handlmg, of subjects which are more immediately important. The rearrangement of material is seen especially in the bringing together into the first part of the book of all methods for the graphical representation of functions of one variable, both algebraic and transcendental. This has the effect of devoting the first part of the book to analytic geometry of two dimensions, the analytic geometry of three dimensions being treated later when it is required for the study of functions of two variables. The transition to the calculus is made early tluough the discussion of slope and area (C hapter TX), the student being thus introduced in the first year of his course to the concepts of a derivative and a definite integral as the limit of a sum. The new methods of handling the subject matter will be recognized by the teacher in places too numerous to specify here. The articles on empirical equations, the remainder inT aylor sseries, and approximate integration are new.
(Typographical errors above are due to OCR software and don't occur in the book.)
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