Technical Books

These notes are more of an introduction and guide than a full course. Topics covered includes, Applications of trigonometry, What is trigonometry, Background on geometry, Angle measurement, Chords, Sines, Cosines, Tangents and slope, The trigonometry of right triangles, The trigonometric functions and their inverses, Computing trigonometric functions, The trigonometry of oblique triangles, Demonstrations of the laws of sines and cosines, Area of a triangle, Ptolemys sum and difference formulas and Summary of trigonometric formulas.

This note explains the following topics, Annual Temperature Cycles, Trigonometric Functions, Trigonometric Models, Vertical Shift and Amplitude, Frequency and Period, Phase Shift, Examples, Phase Shift of Half a Period, Equivalent Sine and Cosine Models.

Elementary trigonometry is a book written by mathematicians H. S. Hall and S. R. Knight. This book covers all the parts of Elementary Trigonometry which can conveniently be treated without the use of infinite series and imaginary quantities. The chapters have been subdivided into short sections, and the examples to illustrate each section have been very carefully selected and arranged, the earlier ones being easy enough for any reader to whom the subject is new, while the later ones, and the Miscellaneous Examples scattered throughout the book, will furnish sufficient practice for those who intend to pursue the subject further as part of a mathematical education.

This book contains all the propositions usually included under the head of Spherical Trigonometry, together with a large collection of examples for exercise.

First Chapter explains Newtons Method of Limits to the mensuration of circular arcs and areas. The succeeding Chapters are devoted to an exposition of the nature of the Trigonometrical ratios, and to the demonstration by geometrical constructions of the principal propositions required for the Solution of Triangles.

The course aims at giving you a good understanding of trigonometry and its applications in everyday life. Topics covered includes, Trigonometric ratios, Bearings, Inverse of trigonometric ratios, Graph of trigonometric ratios, Trigonometric Identities and trigonometric equations, Solution of triangle and Angles of elevation and depression.

This lecture note covers the following topics, The circular functions, Radians, Sinusoidal functions, Continuity of the trigonometric functions, Minima and Maxima, Concavity, Criteria for local maxima and minima, The Mean Value Theorem, The velocity of a falling object, Theoretical framework, Accumulation Functions, Minor shortcuts in taking definite integrals, Area between two curves, Algebraic properties of the natural logarithm.

This note describes the following topics, Angles, Trigonometric Functions, Acute Angles, Graphs of Sine and Cosine, Trigonometric Equations, Formulas, Complex Numbers, Trigonometric Geometry, Law of Sines and Cosines.

This note explains the following topics, Foundations of Trigonometry, Angles and their Measure, The Unit Circle, Cosine and Sine, Trigonometric Identities, Graphs of the Trigonometric Functions, The Inverse Trigonometric Functions, Applications of Trigonometry, Applications of Sinusoids, The Law of Sines and cosines, Polar Form of Complex Numbers.

This book covers the following topics, Radian Angle Measurement, Definition of the Six Trigonometric Functions Using the Unit Circle, Reference Angles, Coterminal Angles, Definition of the Six Trigonometric Functions Determined by a Point and a Line in the xyPlane, Solving Right Triangles and Applications Involving Right Triangles, The Graphs of the Trigonometric Functions, The Inverse Trigonometric Functions, Solving Trigonometric Equations, Pythagorean and Basic Identities, Sum and Difference Formulas.

This book was written with those teachers and students in mind who are engaged in trigonometric ideas in courses ranging from geometry and secondyear algebra to trigonometry and precalculus. The lessons contain historical and cultural context, as well as developing traditional concepts and skills.

This note covers functions and special angles, Graphs of trig functions, Inverse trigonometric functions, Key angle formulas, Trigonometric identities and equations, Solving an oblique triangle, Polar coordinates, Polar functions and vectors.

This note covers the following topics, Basic set theory, Products, relations and functions, Cardinal numbers, The real number system, Metric and topological spaces, Spaces with special properties, Function spaces, Constructions on spaces, Spaces with additional properties, Topological groups, Stereographic projection and inverse geometry.

String topology is the study of algebraic and differential topological properties of spaces of paths and loops in manifolds. Topics covered includes, Intersection theory in loop spaces, The cacti operad, String topology as field theory, A Morse theoretic viewpoint, Brane topology.

This note covers the following topics, Topological spaces, metric spaces, Topological properties, Subspaces, Compactness, Compact metric spaces, Connectedness, Connected subsets of the real line.