The Study of Mathematics: Elements of trigonometry
Author | : Augustus De Morgan |
Publisher | : |
Total Pages | : 392 |
Release | : 1833 |
Genre | : Mathematics |
ISBN | : |
Download The Study Of Mathematics Elements Of Trigonometry full books in PDF, epub, and Kindle. Read online free The Study Of Mathematics Elements Of Trigonometry ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
Author | : Augustus De Morgan |
Publisher | : |
Total Pages | : 392 |
Release | : 1833 |
Genre | : Mathematics |
ISBN | : |
Author | : Gabor Toth |
Publisher | : Springer Nature |
Total Pages | : 534 |
Release | : 2021-09-23 |
Genre | : Mathematics |
ISBN | : 3030750515 |
This textbook offers a rigorous presentation of mathematics before the advent of calculus. Fundamental concepts in algebra, geometry, and number theory are developed from the foundations of set theory along an elementary, inquiry-driven path. Thought-provoking examples and challenging problems inspired by mathematical contests motivate the theory, while frequent historical asides reveal the story of how the ideas were originally developed. Beginning with a thorough treatment of the natural numbers via Peano’s axioms, the opening chapters focus on establishing the natural, integral, rational, and real number systems. Plane geometry is introduced via Birkhoff’s axioms of metric geometry, and chapters on polynomials traverse arithmetical operations, roots, and factoring multivariate expressions. An elementary classification of conics is given, followed by an in-depth study of rational expressions. Exponential, logarithmic, and trigonometric functions complete the picture, driven by inequalities that compare them with polynomial and rational functions. Axioms and limits underpin the treatment throughout, offering not only powerful tools, but insights into non-trivial connections between topics. Elements of Mathematics is ideal for students seeking a deep and engaging mathematical challenge based on elementary tools. Whether enhancing the early undergraduate curriculum for high achievers, or constructing a reflective senior capstone, instructors will find ample material for enquiring mathematics majors. No formal prerequisites are assumed beyond high school algebra, making the book ideal for mathematics circles and competition preparation. Readers who are more advanced in their mathematical studies will appreciate the interleaving of ideas and illuminating historical details.
Author | : Kenneth O, May |
Publisher | : Dover Publications |
Total Pages | : 627 |
Release | : 2019-11-13 |
Genre | : Mathematics |
ISBN | : 0486836576 |
An unusually thoughtful and well-constructed introduction to the serious study of mathematics, this book requires no background beyond high school courses in plane geometry and elementary algebra. From that starting point, it is designed to lead readers willing to work through its exercises and problems to the achievement of basic mathematical literacy. The text provides a fundamental orientation in modern mathematics, an essential vocabulary of mathematical terms, and some facility in the use of mathematical concepts and symbols. From there, readers will be equipped to move on to more serious work, and they'll be well on the way to having the tools essential for work in the physical sciences, engineering, and the biological and social sciences. Starting with elementary treatments of algebra, logic, and set theory, the book advances to explorations of plane analytic geometry, relations and functions, numbers, and calculus. Subsequent chapters discuss probability, statistical inference, and abstract mathematical theories. Each section is enhanced with exercises in the text and problems at the end. Answers to the exercises and some of the problems are included at the end of each section.
Author | : Ptolemy |
Publisher | : Princeton University Press |
Total Pages | : 712 |
Release | : 1998-11-08 |
Genre | : Science |
ISBN | : 0691002606 |
Ptolemy's Almagest is one of the most influential scientific works in history. A masterpiece of technical exposition, it was the basic textbook of astronomy for more than a thousand years, and still is the main source for our knowledge of ancient astronomy. This translation, based on the standard Greek text of Heiberg, makes the work accessible to English readers in an intelligible and reliable form. It contains numerous corrections derived from medieval Arabic translations and extensive footnotes that take account of the great progress in understanding the work made in this century, due to the discovery of Babylonian records and other researches. It is designed to stand by itself as an interpretation of the original, but it will also be useful as an aid to reading the Greek text.
Author | : Morris Kline |
Publisher | : OUP USA |
Total Pages | : 452 |
Release | : 1990-03 |
Genre | : Mathematics |
ISBN | : 9780195061376 |
Traces the development of mathematics from its beginnings in Babylonia and ancient Egypt to the work of Riemann and Godel in modern times.
Author | : E. Maor |
Publisher | : Universities Press |
Total Pages | : 260 |
Release | : 1998 |
Genre | : Trigonometry |
ISBN | : 9788173712067 |
In this book, Maor rejects the usual arid descriptions of the sine and cosine functions and their trigonometric relatives. He brings the subject to life in a compelling blend of mathematics, history , and biography. Form the 'proto-trigonometry' of the Egyptian pyramid builders to Renaissance Europe's quest for more accurate artillery, from the earliest known trigonometric table......
Author | : A. Albert Klaf |
Publisher | : Courier Corporation |
Total Pages | : 640 |
Release | : 2011-11-30 |
Genre | : Mathematics |
ISBN | : 0486151042 |
This classic text encompasses the most important aspects of plane and spherical trigonometry in a question-and-answer format. Its 913 specially selected questions appear with detailed answers that help readers refresh their trigonometry skills or clear up difficulties in particular areas. Questions and answers in the first part discuss plane trigonometry, proceeding to examinations of special problems in navigation, surveying, elasticity, architecture, and various fields of engineering. The final section explores spherical trigonometry and the solution of spherical triangles, with applications to terrestrial and astronomical problems. Readers can test their progress with 1,738 problems, many of which feature solutions. 1946 edition. 494 figures.
Author | : Augustus De Morgan |
Publisher | : |
Total Pages | : 262 |
Release | : 1837 |
Genre | : Functions, Exponential |
ISBN | : |
Author | : Jay P. Abramson |
Publisher | : |
Total Pages | : 1564 |
Release | : 2015-02-13 |
Genre | : Algebra |
ISBN | : 9781938168376 |
"The text is suitable for a typical introductory algebra course, and was developed to be used flexibly. While the breadth of topics may go beyond what an instructor would cover, the modular approach and the richness of content ensures that the book meets the needs of a variety of programs."--Page 1.