If you are an advanced high-school student preparing for Honors Calculus, AB and BC Calculus, or a student who needs an introductory Calculus (College review), this is the perfect book for you. This easy to understand reference Calculus (Differentiation & Integration) not only explains calculus in terms you can understand the concepts, but it also gives you the necessary tools and guide to approach and solve different/complex problems with strong confidence. As a textbook supplement or workbook, teachers, parents, and students will consider the Mathradar series "Must-Have" prep for self -study and test. This book will be the most comprehensive study guide for you. Calculus (Differentiation & Integration) covers the following 7 chapters: *Chapter 1: The Concept of Limits (Limits of Sequences, Limits of Geometric Sequences, Series, Geometric Series) *Chapter 2: Limits of Functions and Continuity (Limits of Functions, Special Limits, Continuity) *Chapter 3: The Derivative (Definition of the Derivative, Continuity of Differentiable Functions, Computation of Derivatives, Higher-Order Derivatives) *Chapter 4: Applications of the Derivative (The Normal to a Curve, The Mean Value Theorem, Monotonicity and Concavity, L'Hopital's Rule, Applications of Differentiation) *Chapter 5: The Indefinite Integral (Antiderivatives and Indefinite Integration, Integrating Trigonometric and Exponential Functions, Techniques of Integration) *Chapter 6: The Definite Integral (Integrals and Area, The Definite Integral, Properties of the Definite Integral, Evaluating Definite Integrals) *Chapter 7: Applications of the Integral (The Area of a Plane Region, The Area of a Region between Two Curves, Volumes of Solids, Arc Length) This book includes thoroughly explained concepts and detailed illustrations of Calculus with a comprehensive Solutions Manual. With the Solutions Manual, students will be able to learn various ways to solve problems and understand difficult concepts step by step, on your own, at your own pace. Other titles by MathRadar: * Algebra-Number Systems * Algebra-Expressions * Algebra-Functions plus Statistics & Probability * Geometry * Algebra 2 and Pre-Calculus (Volume I) * Algebra 2 and Pre-Calculus (Volume II) * Solutions Manual for Algebra 2 and Pre-Calculus (Volume I) * Solutions Manual for Algebra 2 and Pre-Calculus (Volume II) * Calculus (Differentiation & Integration) * Solutions Manual for Calculus (Differentiation & Integration) "

The new early transcendentals version presents the logarithmic, exponential and other transcendental functions before the definite integral so these topics can be taught early in the course. This organization allows the authors to provide interesting applications which include transcendental functions in the material on applications of the derivative, integration and applications of the integral. The latest edition incorporates modern technology and recent trends without sacrificing the acknowledged strengths of previous versions. Contains over 1300 new problems as well as more illustrations. Fresh technology-based examples support numerous exercises requiring the use of a graphics calculator or other graphing software.

An authorised reissue of the long out of print classic textbook, Advanced Calculus by the late Dr Lynn Loomis and Dr Shlomo Sternberg both of Harvard University has been a revered but hard to find textbook for the advanced calculus course for decades.This book is based on an honors course in advanced calculus that the authors gave in the 1960's. The foundational material, presented in the unstarred sections of Chapters 1 through 11, was normally covered, but different applications of this basic material were stressed from year to year, and the book therefore contains more material than was covered in any one year. It can accordingly be used (with omissions) as a text for a year's course in advanced calculus, or as a text for a three-semester introduction to analysis.The prerequisites are a good grounding in the calculus of one variable from a mathematically rigorous point of view, together with some acquaintance with linear algebra. The reader should be familiar with limit and continuity type arguments and have a certain amount of mathematical sophistication. As possible introductory texts, we mention Differential and Integral Calculus by R Courant, Calculus by T Apostol, Calculus by M Spivak, and Pure Mathematics by G Hardy. The reader should also have some experience with partial derivatives.In overall plan the book divides roughly into a first half which develops the calculus (principally the differential calculus) in the setting of normed vector spaces, and a second half which deals with the calculus of differentiable manifolds.

Includes index.