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20+ Precalculus Free Books


Precalculus is a course that is designed to prepare students for Calculus either in high school or college. It is including algebra, trigonometry and analytical geometry. Additional important topics in any precalclus course are functions, graphing, rational expressions, complex numbers, conic sections, vectors, matrices, complex numbers, probability and series.


A major part of precalculus is "trigonometry", which explores angles, triangles, and periodic motion. Students study sine, cosine, and tangent functions, along with identities and the unit circle. This helps explain real world phenomena such as sound waves, circular motion, and alternating currents. Additionally, precalculus introduces vectors, matrices, complex numbers, probability and series, sequences, and conic sections like parabolas and ellipses to deepen problem solving skills. By mastering precalculus, students develop logical thinking and analytical reasoning essential for success in calculus, physics, and engineering. It enhances mathematical fluency, allowing learners to interpret changes, model data, and predict outcomes. Precalculus isn’t just about solving equations. It’s about understanding how mathematics describes and connects to the world around us. If you’re ready to take the next step, you can "download free precalculus books" to continue your learning journey. These resources cover core concepts, problem solving techniques, and real world applications, perfect for students who want to build confidence and master calculus effectively.

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Free Precalculus & Trigonometry Books
Advanced Algebra and Trigonometry - William Brenke PDF
This text teaches "algebra", "trigonometry", and "mathematics" at an advanced level. With clear explanations, tables, worked examples, and exercises, it helps learners deepen understanding, solve complex problems, and build strong skills for further study in calculus, engineering, or applied mathematics.
Algebra and Trigonometry by Jay Abramson - PDF
This text provides a clear introduction to "algebra", "trigonometry", and functions. Designed for self-study or classroom use, it strengthens "problem-solving" skills through examples and exercises, helping students build a solid foundation for calculus and develop a deep understanding of essential mathematical concepts.
Business Precalculus by David Lippman - PDF
This text is a clear guide to "precalculus" for business students. With examples and exercises, it teaches "functions", graphs, and applied "mathematical analysis", helping learners understand equations and inequalities while applying math concepts to real-world problems in finance, economics, and management.
Elements of Algebra and Trigonometry - William Griffin
This text teaches "algebra", "trigonometry", and "mathematics" fundamentals in a clear, practical way. With step-by-step explanations, examples, and exercises, it helps learners understand formulas, solve problems, and build strong skills for study, technical work, or everyday applications.
Geometry, Algebra, and Trigonometry - Thomas Kirkma
This text teaches "geometry", "algebra", and "trigonometry" in a clear, practical way. With examples, exercises, and memory techniques, it helps learners understand formulas, solve problems, and build strong foundational skills for study, technical work, or everyday applications.
Graphical Calculus by Arthur Barker - PDF
Graphical Calculus by Arthur Barker, with an introduction by John Goodman, explains calculus using clear drawings instead of complex formulas. It teaches slopes, curves, and areas through simple visuals, making the subject easier for beginners and practical learners.
Graphical Statics by Luigi Cremona - PDF
This text teaches engineers and architects to analyze "structures" and "forces" using visual methods. It covers "graphical calculus" and reciprocal figures, showing how diagrams simplify the study of trusses, bridges, and frameworks. This classic work makes structural analysis intuitive and practical.
Lecture Notes on Precalculus by Eleftherios Gkioulekas
This textbook provides a clear introduction to "precalculus", covering functions, "trigonometry", and geometry. Designed for self-study, it strengthens "problem-solving" skills, offering students a solid foundation for calculus while allowing them to review and reinforce key concepts at their own pace effectively.
Mathematical Handbook by Edwin Seaver - PDF
This text is a practical guide that gives students and professionals quick access to "formulas", "algebra", and "trigonometry" tools. It covers geometry and calculus too, helping readers solve problems efficiently and apply mathematics in real-world situations.
Mathematics for the Practical Man by George Howe - PDF
This text teaches "arithmetic", "geometry", and "trigonometry" using real-world examples. It helps students, engineers, and tradespeople solve practical problems in construction, surveying, and commerce, making math easy to understand and apply in everyday and professional situations.
Practical Mathematics - Claude Palmer PDF
This text teaches "arithmetic", "algebra", and "trigonometry" in a clear, practical way. With step-by-step explanations, examples, and exercises, it helps learners build strong math skills and apply concepts confidently in everyday problems, technical work, or study, making mathematics accessible and useful for all.
Precalculus by David Collingwood, David Prince
This is a free textbook designed for learning "precalculus", covering algebra, functions, and "trigonometry". It emphasizes "problem-solving" and real-world applications, helping students build a solid foundation for calculus. The book includes exercises with solutions, supporting both self-study and classroom learning effectively.
Precalculus by Jay Abramson - PDF
This text is a clear guide to "precalculus", covering functions, graphs, equations, and inequalities. With worked examples and exercises, it helps students build strong skills in "mathematical analysis" and problem solving, preparing them to apply "precalculus" concepts confidently in calculus, science and engineering.
Precalculus Mathematics by Lawrence Chang - PDF
This textbook provides a clear and structured introduction to "precalculus", covering functions, algebra, and "trigonometry". Designed for self-study, it strengthens "problem-solving" skills, preparing students for university-level calculus by building a solid foundation and ensuring a deep understanding of essential mathematical concepts.
Precalculus Review by Ethan D. Bloch - PDF
This text offers a clear overview of "precalculus", covering algebra, "trigonometry", and functions. Designed for self-study, it enhances "problem-solving" skills, helping students review essential concepts, strengthen their foundation, and prepare effectively for calculus or higher-level mathematics courses.
Precalculus, An Honours Course by David A. Santos - PDF
This textbook provides a rigorous introduction to "precalculus", covering functions, sequences, series, and "trigonometry". Designed for advanced students, it strengthens "problem-solving" skills and deepens understanding, serving as a structured reference that complements lectures and helps learners grasp key definitions, theorems, and concepts effectively.
Precalculus. An Investigation of Functions D. Lippman
This text explores "functions", including linear, polynomial, exponential, and logarithmic types, emphasizing "trigonometry" and their real-world applications. Designed for self-study or classroom use, it strengthens "problem-solving" skills, encouraging active learning and preparing students for calculus with clear explanations and practical exercises.
Teaching of Algebra & Trigonometry by Thomas Nunn - PDF
This textbook is a clear guide for students and teachers. It covers "algebra", "trigonometry", and "functions", using worked examples and exercises to explain concepts. The book helps readers build a strong foundation and understand how algebra and trigonometry connect.
The Algebra of Coplanar Vectors & Trigonometry- Hayward
This text teaches how "vector algebra", "geometry", and "trigonometry" work together in two-dimensional space. It shows how vectors can be treated algebraically, helping readers understand trigonometric formulas and geometric relationships clearly and intuitively for practical and theoretical problem-solving.
Trigonometry & Trigonometrical Analysis - A. De Morgan
This text introduces "trigonometry", "algebra", and "differential calculus" foundations. It explains trigonometric functions, their geometric relationships, and how to manipulate them algebraically. Clear examples and exercises help readers build a strong, logical understanding of pre-calculus mathematics.
Trigonometry and Double Algebra - A. De Morgan PDF
This text introduces "trigonometry", "algebra", and "symbolic reasoning". It explains trigonometric functions, identities, and their geometric relationships, while showing how algebra can extend to abstract concepts. Clear examples and exercises help students build a strong, logical foundation for advanced mathematics.

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