Calculus with Analytic Geometry
by Howard Anton
First published 1980 · 1053 pages · about 18 hours to read
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About this book
A self-contained text for an introductory course, this volume places strong emphasis on physical applications. Key elements of differential equations and linear algebra are introduced early and are consistently referenced, all theorems are proved using elementary methods, and numerous worked-out examples appear throughout. The highly readable text approaches calculus from the student's viewpoint and points out potential stumbling blocks before they develop. A collection of more than 1,600 problems ranges from exercise material to exploration of new points of theory — many of the answers are found at the end of the book; some of them worked out fully so that the entire process can be followed. This well-organized, unified text is copiously illustrated, amply cross-referenced, and fully indexed.
Will you like it?
This is for undergraduates taking a first calculus course with analytic geometry, and for teachers who want a self-contained text. Its emphasis on physical applications, early use of linear algebra and differential equations, and over 1,600 problems suits students who learn by working through examples.
- physical applications
- limits and derivatives
- integration
- worked examples
- elementary proofs
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Books like Calculus with Analytic Geometry
Quick answers
- What age is Calculus with Analytic Geometry for?
- Adults.
- Is Calculus with Analytic Geometry a standalone?
- Yes, it stands on its own.
- Does Calculus with Analytic Geometry have violence, sex or strong language?
- Nothing a reader needs warning about.
Written with AI from what's known about the book.
Reader's guide
Themesphysical applications of calculus, limits and the derivative, integration and area, proof by elementary methods, linear algebra and differential equations, worked examples and problem sets
physical applications of calculus · limits and the derivative · integration and area · proof by elementary methods · linear algebra and differential equations · worked examples and problem sets
StyleExpository textbook prose in plain English, written to address the student's difficulties directly. Each section is built from definitions, theorems with proofs, numbered worked examples and exercise sets. The volume is long, roughly 1,050 pages, and heavily illustrated and cross-referenced, with a full index.
Expository textbook prose in plain English, written to address the student's difficulties directly. Each section is built from definitions, theorems with proofs, numbered worked examples and exercise sets. The volume is long, roughly 1,050 pages, and heavily illustrated and cross-referenced, with a full index.
How it was writtenHoward Anton is an American mathematics educator who wrote a series of calculus and linear algebra textbooks. This first-edition calculus volume was published by John Wiley & Sons in 1980. Later editions of the calculus text were revised with co-authors, so the content and numbering differ between editions.
Howard Anton is an American mathematics educator who wrote a series of calculus and linear algebra textbooks. This first-edition calculus volume was published by John Wiley & Sons in 1980. Later editions of the calculus text were revised with co-authors, so the content and numbering differ between editions.
How it was receivedAnton's calculus books were widely adopted as college textbooks in the United States, and the book's clear exposition and large problem sets were its main selling points among instructors. Current readers mostly encounter it as a course text or as a reference for older calculus teaching. Its 1980 first edition is now mainly of historical interest, since later editions are in use.
Anton's calculus books were widely adopted as college textbooks in the United States, and the book's clear exposition and large problem sets were its main selling points among instructors. Current readers mostly encounter it as a course text or as a reference for older calculus teaching. Its 1980 first edition is now mainly of historical interest, since later editions are in use.
Questions to discussWhy might a calculus text introduce differential equations and linear algebra before the students have finished the core calculus course?
These may talk about the whole book.
- Why might a calculus text introduce differential equations and linear algebra before the students have finished the core calculus course?
- How does the book's habit of pointing out stumbling blocks in advance change the way a student reads a proof?
- Which of the physical applications in the book do you think best shows what the derivative or integral is for?
- Is it useful for a textbook to prove every theorem with elementary methods, even when a faster route exists?
- How does the mix of exercises and exploratory problems shape what a student learns beyond the worked answers?
- Compared with a modern calculus text, what would you expect a 1980 edition to emphasize or leave out?
Written with AI from what's known about the book.
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- Calculus Early Transcendentals 10th Edition WileyPLUS High SCalculus Early Transcendentals 10th Edition WileyPLUS High School 6 Year Access2014
- Student Solutions Manual to Accompany Elementary Linear AlgeStudent Solutions Manual to Accompany Elementary Linear Algebra, Applications Version, 11e2013
- Elementary Linear Algebra, Binder Ready VersionElementary Linear Algebra, Binder Ready Version2013
- Calculus Late TranscendentalsCalculus Late Transcendentals2012
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