Schaum's Outline of Beginning Calculus - Brossura

Mendelson, Elliott

Brossura

ISBN 10: 0070417334 ISBN 13: 9780070417335

Casa editrice: Schaum's Outlines, 1997

Riassunto

This easy-to-understand calculus study aid is ideal for those who are new to the subject. It offers a well-illustrated, step-by-step introduction that moves along at an easy-to-keep-up-with pace. Use it with your textbook or for independent study to improve your comprehension and boost your grades. It features 226 solved and 513 skill-building supplementary problems--more than other study guides. Whether you simply want to feel confident at test time or build a solid foundation in calculus for more advanced math, science, and engineering course, Schaum's Outline of Beginning Calculus is students' first choice. level of Ayres/Mendelson, Calculus, 3/e. This will make up the calculus segments of one-semester liberal arts courses and the various one-semester Calculus courses for business or life sciences. This book will also address weaker students in general freshman calculus and high school advanced placement courses. Theory is restricted to fundamentals of differentiation and integration (single-variable) and the solved problems, with no steps ommitted, include reviews of algebra. This updated edition will continue the excellent sales record of the first edition and will include: problems suitable for graphing calculators and existing problems adapted to involve calculator use; emphasis on aogorithmic aspects of Calculus; Newton's method will be given a separate section, a section various approximation techniques for integration, Simpson's Rule the Midpoint rule; a section that presents the traditional treatment of exponential and logarithmic functions, which method some textbooks have gone back to.

Su questo libro

Descrizione del libro:

An ideal way of mastering the essentials of calculus in the late 1990s, this book carefully develops--giving all steps--the principles of differentiation and integration on which the whole of calculus is built. Featuring hundreds of problems with complete solutions, and nearly 500 illustrations, the Second Edition of this popular learning tool now emphasizes the algorithmic aspects of calculus. It also includes problems suitable for graphing calculators, and adapts existing problems to involve calculator use.

Contenuti:

Coordinate Systems on a Line. Coordinate Systems in a Plane. Graphs of Equations. Straight Lines. Intersections of Graphs. Symmetry. Functions and Their Graphs. Limits. Special Limits. Continuity. The Slope of a Tangent Line. The Derivative. More on the Derivative. Maximum and Minimum Problems. The Chain Rule. Implicit Differentiation. The Mean-Value Theorem. The Sign of the Derivative. Rectilinear Motion. Instantaneous Velocity. Instantaneous Rate of Change. Related Rates. Approximation by Differentials. Newton's Method. Higher-Order Derivatives. Applications of the Second Derivative. Graph Sketching. More Maxiumum and Minimum Problems. Angle Measure. The Sine and Cosine Functions. Graphs and Derivatives of the Sine and Cosine Functions. The Tangent and Other Trigonometric Functions. Antiderivatives. The Definite Integral. The Fundamental Theorem of Calculus. Applications of Integration I: Area and Arc Length. Applications of Exponential Growth and Decay. Inverse Trigonometric Functions. L'Hopital's Rule. Exponential Growth and Decay. Inverse Trigonometric Functions. Integration by Parts. Trigonometric Integrands. Trigonometric Substitutions. Integration of Rational Functions: The Method of Partial Fractions. Answers to Supplementary Problems.

Su questa edizione

• Editore: Schaum's Outlines
• Data di pubblicazione: 1997
• ISBN 10: 0070417334
• ISBN 13: 9780070417335
• Rilegatura: Copertina flessibile
• Numero edizione: 2
• Numero di pagine: 400