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Calculus (Rea's Problem Solvers)by Rea
Synopses & ReviewsPublisher Comments:Each Problem Solver is an insightful and essential study and solution guide chockfull of clear, concise problemsolving gems. All your questions can be found in one convenient source from one of the most trusted names in reference solution guides. More useful, more practical, and more informative, these study aids are the best review books and textbook companions available. Nothing remotely as comprehensive or as helpful exists in their subject anywhere. Perfect for undergraduate and graduate studies.
Here in this highly useful reference is the finest overview of calculus currently available, with hundreds of calculus problems that cover everything from inequalities and absolute values to parametric equations and differentials. Each problem is clearly solved with stepbystep detailed solutions. DETAILS  The PROBLEM SOLVERS are unique  the ultimate in study guides.  They are ideal for helping students cope with the toughest subjects.  They greatly simplify study and learning tasks.  They enable students to come to grips with difficult problems by showing them the way, stepbystep, toward solving problems. As a result, they save hours of frustration and time spent on groping for answers and understanding.  They cover material ranging from the elementary to the advanced in each subject.  They work exceptionally well with any text in its field.  PROBLEM SOLVERS are available in 41 subjects.  Each PROBLEM SOLVER is prepared by supremely knowledgeable experts.  Most are over 1000 pages.  PROBLEM SOLVERS are not meant to be read cover to cover. They offer whatever may be needed at a given time. An excellent index helps to locatespecific problems rapidly. TABLE OF CONTENTS Introduction Chapter 1: Inequalities Chapter 2: Absolute Values Chapter 3: Limits Chapter 4: Continuity Chapter 5: Derivative ?Method Chapter 6: Differentiation of Algebraic Functions Chapter 7: Differentiation of Trigonometric Functions Chapter 8: Differentiation of Inverse Trigonometric Functions Chapter 9: Differentiation of Exponential and Logarithmic Functions Chapter 10: Differentiation of Hyperbolic Functions Chapter 11: Implicit Differentiation Chapter 12: Parametric Equations Chapter 13: Indeterminate Forms Chapter 14: Tangents and Normals Chapter 15: Maximum and Minimum Values Chapter 16: Applied Problems in Maxima and Minima Chapter 17: Curve Tracing Chapter 18: Curvature Chapter 19: Related Rates Chapter 20: Differentials Chapter 21: Partial Derivatives Chapter 22: Total Differentials, Total Derivatives, and Applied Problems Chapter 23: Fundamental Integration Chapter 24: Trigonometric Integrals Chapter 25: Integration by Partial Fractions Chapter 26: Trigonometric Substitutions Chapter 27: Integration by Parts Chapter 28: Improper Integrals Chapter 29: Arc Length Chapter 30: Plane Areas Chapter 31: Solids: Volumes and Areas Chapter 32: Centroids Chapter 33: Moments of Inertia Chapter 34: Double/Iterated Integrals Chapter 35: Triple Integrals Chapter 36: Masses of Variable Density Chapter 37: Series Chapter 38: The Law of the Mean Chapter 39: Motion: Rectilinear and Curvilinear Chapter 40: Advanced Integration Methods Chapter 41: Basic Differential Equations Chapter 42: Advanced DifferentialEquations Chapter 43: Applied Problems in Differential Equations Chapter 44: Fluid Pressures/Forces Chapter 45: Work/Energy Chapter 46: Electricity Index WHAT THIS BOOK IS FOR Students have generally found calculus a difficult subject to understand and learn. Despite the publication of hundreds of textbooks in this field, each one intended to provide an improvement over previous textbooks, students of calculus continue to remain perplexed as a result of numerous subject areas that must be remembered and correlated when solving problems. Various interpretations of calculus terms also contribute to the difficulties of mastering the subject. In a study of calculus, REA found the following basic reasons underlying the inherent difficulties of calculus: No systematic rules of analysis were ever developed to follow in a stepbystep manner to solve typically encountered problems. This results from numerous different conditions and principles involved in a problem that leads to many possible different solution methods. To prescribe a set of rules for each of the possible variations would involve an enormous number of additional steps, making this task more burdensome than solving the problem directly due to the expectation of much trial and error. Current textbooks normally explain a given principle in a few pages written by a calculus professional who has insight into the subject matter not shared by others. These explanations are often written in an abstract manner that causes confusion as to the principle's use and application. Explanations then are often not sufficiently detailed or extensive enough to make the reader aware of the wide range ofapplications and different aspects of the principle being studied. The numerous possible variations of principles and their applications are usually not discussed, and it is left to the reader to discover this while doing exercises. Accordingly, the average student is expected to rediscover that which has long been established and practiced, but not always published or adequately explained. The examples typically following the explanation of a topic are too few in number and too simple to enable the student to obtain a thorough grasp of the involved principles. The explanations do not provide sufficient basis to solve problems that may be assigned for homework or given on examinations. Poorly solved examples such as these can be presented in abbreviated form which leaves out much explanatory material between steps, and as a result requires the reader to figur Synopsis:Each Problem Solver is an insightful and essential study and solution guide chockfull of clear, concise problemsolving gems. All your questions can be found in one convenient source from one of the most trusted names in reference solution guides. More useful, more practical, and more informative, these study aids are the best review books and textbook companions available. Nothing remotely as comprehensive or as helpful exists in their subject anywhere. Perfect for undergraduate and graduate studies. Here in this highly useful reference is the finest overview of calculus currently available, with hundreds of calculus problems that cover everything from inequalities and absolute values to parametric equations and differentials. Each problem is clearly solved with stepbystep detailed solutions. Synopsis: REAs Problem Solvers is a series of useful, practical, and informative study guides. Each title in the series is complete stepbystep solution guide. The Calculus Problem Solver enables students to solve difficult problems by showing them stepbystep solutions to Calculus problems. The Problem Solvers cover material ranging from the elementary to the advanced and make excellent review books and textbook companions. The Calculus Problem Solver is the perfect resource for any class, any exam, and any problem!
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