Algebra and Trigonometry

Book Cover

Algebra and Trigonometry

By Sheldon Axler

Algebra & Trigonometry provides students with the skill and understanding needed for their coursework and for participating as an educated citizen in a complex society. The course focuses on depth, not breadth of topics by exploring necessary topics in greater detail. Students benefit from the straightforward definitions and plentiful examples of complex concepts presented.

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    What’s New

  • Depth, Not Breadth: Topics have been carefully selected to get at the heart of algebraic weakness by narrowing down to key sets of skills which are regularly revisited from varied perspectives.
  • Unit-circle Approach: This approach is used because calculus requires the unit-circle approach and it allows for a well-motivated introduction to radian measure. Once the approach has been introduced, applications to right triangles are given.
  • Exercises and Problems: The difference between an exercise and a problem is that each exercise has a unique correct answer that is a mathematical object such as a number or a function, while the solutions to problems consist of explanations or examples. The solutions to the odd-numbered exercises appear directly behind the relevant section.
  • Variety: Exercises and problems in this book vary greatly in difficulty and purpose. Some exercises and problems are designed to hone algebraic manipulation skills; other exercises and problems are designed to push students to genuine understanding. Applications are written to reflect real scenarios, not artificial examples.
  • Integrated Student’s Solutions Manual: The solutions manual encourages students to read the main text and students will save money by not having to purchase a separate solutions manual.
  • Designed to be Read: The writing style and layout are meant to induce students to read and understand the material. Explanations are more plentiful than typically found in College Algebra books, with examples of concepts making the ideas concrete whenever possible.
  • Calculator Problems: A symbol appears next to problems that require a calculator, and some exercises and problems are designed to make students realize that by understanding the material, they can overcome the limitations of calculators.

Sheldon Axler is well-known within the mathematics community. He has an Ivy League education, having received his AB in mathematics from Princeton in 1971, and his PhD in mathematics from UC Berkeley in 1975. Currently, Sheldon is the Dean of the College of Science and Engineering at SFSU. Previously, he held teaching positions at Michigan State, UC Berkeley, Indiana University, and MIT. He has received numerous grants, awards, and fellowships throughout his career. He regularly speaks at conferences and conventions and has done extensive writing in his discipline. Notably, he is the author of a successful textbook for the second course in linear Algebra, published with Springer and has held several editorial positions for mathematics journals and is currently a series editor for Springer.
As the author for Wiley’s Precalculus: A Prelude to Calculus, Sheldon has shown himself an able and willing promoter of his title, garnering the interest of his colleagues nationwide and proving himself a valuable and responsive resource for our sales force.

Chapter 1. The Real Numbers
Chapter 2. Combining Algebra and Geometry
Chapter 3. Functions and Their Graphs
Chapter 4. Polynomial and Rational Functions
Chapter 5. Exponents and Logarithms
Chapter 6. e and the Natural Logarithm
Chapter 7. Systems of Equations
Chapter 8. Sequences, Series, and Limits
Chapter 9. Trigonometric Functions
Chapter 10. Trigonometric Algebra and Geometry
Chapter 11. Applications of Trigonometry

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