For 3-semester or 4-quarter courses in Calculus for students majoring in mathematics
engineering or science. Clarity and precision Thomas' Calculus: Early Transcendentals goes
beyond memorizing formulas and routine procedures to help students develop deeper
understanding. It guides students to a level of mathematical proficiency and maturity needed
for the course with support for those who require it through its balance of clear and
intuitive explanations current applications and generalized concepts. The 15th Edition meets
the needs of students with increasingly varied levels of readiness for the calculus sequence.
This revision also adds exercises revises figures and narrative for clarity and updates many
applications with modern topics. Hallmark features of this title 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 of this title Many narrative
clarifications and revisions have been made throughout the text. A new appendix on Determinants
and Gradient Descent has been added covering many topics relevant to students interested in
Machine Learning and Neural Networks. Many updated graphics and figures have been enhanced to
bring out clear visualization and mathematical correctness. Many exercise instructions have
been clarified such as suggesting where the use of a calculator may be needed. Notation of
inverse trig functions has been changed throughout the text to favor arcsin notation over
sin^{-1} etc.
