- Robert A. Adams |
- Christopher Essex |
Title overview
For courses in Calculus.
Proven in North America and abroad, this classic text has earned a reputation for excellent accuracy and mathematical rigour. It remains the only mainstream textbook that covers sufficient conditions for maxima and minima in higher dimensions. In the classical curriculum, differentials are defined as linear combinations of other differentials. But then later they are also asserted to be products of differentials, without explanation. This edition clarifies, connecting these new objects as they arise. Metrics are a rather fuzzy topic in most texts, leaving the questions that arc length implies hanging. The exploration of these questions leads to new gateway topics, including spherical geometry (as in navigation), and special relativity, which both emerge rather effortlessly once the metric concept is properly in place.
Hallmark features of this title
A wide range of exercises and examples varying in difficulty and nature.
- The plethora of exercises and problems will support your students' development and help them build a comfortable level to practice as their skills and knowledge grow.
- Highlighted definitions, theorems, and examples throughout the text help your students consolidate their knowledge.
Reader-friendly content and structure supports your students' understanding.
- With its reader-friendly language, the textbook holds a reputation for outstanding accuracy and mathematical rigour.
- The Book structure is set to build up knowledge from one idea to the next as the chapters progress.
- Chapter review at the end of the chapters presents key ideas and exercises to further support student learning.
New to this Edition
Improvements and changes to the existing material throughout the book
- Chapter 11 introduces a new concept of a metric space and its application to spherical trigonometry, including the concept of navigation on the surface of our spherical planet.
- Chapter 11 also presents Einstein's theory of special relativity, the conclusions of which follow from the selection of a particular metric for measuring distance in four-dimensional space-time.
- A new section on the introduction to the methods of the Calculus of Variations is included in Section 20.4.
- A new introduction to the open-source programming language Python, in Appendix VI, which can replace Maple or Mathematica as a free computer algebra system.
Key features
Features of MyLab® Math for the 10th Edition
MyLab® is the teaching and learning platform that allows instructors to reach every student with powerful self-study material and assessments.
An online homework and tutorial environment for your students as part of their learning experience.
- Teach your course your way: Whether you would like to build your own assignments or create your own questions, MyLab gives you the flexibility to easily create your course to fit your needs.
- Encourage Student Engagement and Achievement. MyLab Math's online homework offers students immediate feedback and tutorial assistance that motivates them to do more.
- Deliver trusted content: We partner with highly respected authors to develop interactive content and course-specific resources that you can trust — and keep your students engaged.
A series of exercises and assessments give your students the opportunity to self-test and consolidate their knowledge.
- Exercises with immediate feedbackare based on the textbook exercises and regenerate algorithmically to give students an unlimited opportunity for practice and mastery.
- Learning Catalytics® is an interactive classroom tool that uses students’ smartphones, tablets, or laptops to engage them in more sophisticated tasks and thinking.
Discover more about MyLab® Math.