Calculus

Stanley I. Grossman (Autor)

Buch | Hardcover

1264 Seiten

1997 | 5th Revised edition
Brooks/Cole (Verlag)
978-0-03-096420-6 (ISBN)

Infos

Stressing an intuitive rather than rigorous/formal approach to calculus, this student-oriented text covers all of the standard topics. Integration of chapter-end computer exercises and calculator exercises throughout the text and a graphing calculator appendix recognise the impact of technology on calculus. An abundance of interesting applications from engineering, physics, biology, chemistry, economics, astronomy, medicine and pure mathematics shows the far-reaching relevance of calculus. An algebra review is provided in Chapter 10. Numerous examples throughout the text contain all the algebraic steps, with key steps highlighted in colour, needed to complete the solution. The examples are complimented by more than 7,000 section and chapter exercises featuring drill, application, calculator, "show/prove/disprove", and challenge problems. Each problem set begins with "Self-quiz" questions to help students evaluate their understanding of basic ideas in the section. The development of calculus is outlined in extensive historical notes. Biographical sketches impart information on renowned mathematicians.

Inhalt

Review of Some Topics in Algebra. Limits and Derivatives. More About Derivatives. Applications of the Derivative. The Integral. Applications of the Definite Integral. Transcendental Functions and Their Inverses. Techniques of Integration. Conic Sections and Polar Coordinates. Indeterminate Forms, Improper Integrals, and Taylor's Theorem. Sequences and Series. Vectors in the Plane and in Space. Vector Functions, Vector Differentiation, and Parametric Equations. Differentiation of Functions of Two and Three Variables. Multiple Integration. Introduction to Vector Analysis. Ordinary Differential Equations. Appendices: Review of Trigonometry. Mathematical Induction. The Proofs of Some Theorems on Limits, Continuity, and Differentiation. Determinants. Complex Numbers. Graphing Using a Calculator. Table of Integrals. Index.

Produkt-Details

• Erscheint lt. Verlag: 1.11.1997
• Verlagsort: CA
• Sprache: englisch
• Maße: 200 x 260 mm
• Gewicht: 2386 g
• Themenwelt: Mathematik / Informatik ► Mathematik ► Analysis
• ISBN-10: 0-03-096420-2 / 0030964202
• ISBN-13: 978-0-03-096420-6 / 9780030964206
• Zustand: Neuware