Thomas’ Calculus: Early Transcendentals 15th Edition

Main subject categories: • Calculus • Precalculus • Elementary analysis

This book goes beyond memorizing formulas and routine procedures to help you develop deeper understanding. It guides you to a level of mathematical proficiency, with additional support if needed through its clear and intuitive explanations, current applications and generalized concepts. Technology exercises in every section use the calculator or computer for solving problems, and Computer Explorations offer exercises requiring a computer algebra system like Maple or Mathematica. The 15th Edition adds exercises, revises figures and language for clarity, and updates many applications.

Hallmark features • Key topics are presented both informally and formally • Results are carefully stated and proved throughout, and proofs are clearly explained and motivated • Strong exercise sets feature a wide range from skills problems to applied and theoretical problems • Writing exercises ask students to explore and explain various concepts and applications. A list of questions at the end of each chapter asks them to review and summarize what they have learned • Technology exercises in each section ask students to use the calculator or computer when solving the problems. Computer Explorations offer exercises requiring a computer algebra system such as Maple or Mathematica • Annotations within examples guide students through the problem solution and emphasize that each step in a mathematical argument is justified

New and updated features

• Narrative clarifications and revisions

• A new appendix on Determinants and Gradient Descent, relevant to Machine Learning and Neural Networks

• Enhanced updated graphics and figures

• Clarification of exercise instructions

• Notation of inverse trig functions has been changed throughout the text to favor arcsin notation over sin⁻¹, etc

• Online chapters and sections on Complex Functions, Fourier Series and Wavelets in the eText and MyLab Math course