The Best Calculus Books for Beginners

With over three decades of experience teaching math and physics, the author Sudhir K. Sood Ph.D. has written this workbook to help you master the most essential calculus skills of calculating derivatives, limits and integrals quickly and accurately. It is carefully divided into twenty one chapters. Each chapter contains a self-contained discussion of the topic followed by a number of solved examples. The chapter ends with a variety of practice exercises.

In order to inculcate complete student confidence, full solution of every practice exercise is provided which allows the students to learn about avoiding any mistakes they might have committed while attempting the exercise by themselves. Moreover, this user-friendly workbook does not shy away from clarifying even ‘simple’ calculation skills like addition of fractions, multiplication/division of exponents, use of trigonometric and logarithmic identities etc. What is inside?The subject matter of the workbook has been divided into following twenty one chapters with each chapter dealing with a particular topic. 1 - Basic Differentiation Rules and the Derivatives of Polynomials. 2 - The Chain Rule. 3 - The Product Rule. 4 - The Quotient Rule. 5 - Derivatives of Trigonometric Functions. 6 - Derivatives of Inverse Trigonometric Functions. 7 - Derivatives of Exponential Functions. 8 - Derivatives of Logarithmic Functions. 9 - Derivatives of Hyperbolic Functions. 10 - Derivatives of Implicit Functions. 11 - Second Order Derivatives. 12 - Extreme Values-Maxima and Minima. 13 - Limits and L’Hôpital’s Rule. 14 - Indefinite Integrals and Integrals of Polynomials. 15 - Definite Integrals. 16 - Integrals of Trigonometric Functions. 17 - Integrals of Exponential, Logarithmic and Hyperbolic Functions. 18 - Integration by Polynomial Substitution. 19 - Integration by Trigonometric Substitution. 20 - Integration by Parts. 21 - Multiple IntegralsEach chapter of the workbook begins with a concise yet self-contained discussion of the topic of the chapter supplemented by formulas, identities and properties of various functions, their derivatives and anti-derivatives. This is followed by a number of examples that are solved step by step with explanation of every step.At the end of every chapter, a variety of practice exercises are provided to test your problem solving skills as well as your comprehension and retention of the topic.Full solution of every practice exercise can be found at the back of the workbook to allow you to check your answers. An effort is made to provide really detailed answers without skipping any steps. Who this workbook is for?Students taking introductory calculus course in high schools, colleges and universities who can use it as a text book or a supplementary book.Those from various fields like sciences, engineering, economics, medicine and others who wish to learn or to brush up their knowledge about derivatives, limits and integrals, which they need to solve myriad problems in their respective fields.All those in home study programs, parents wanting to help their kids and other adults of all ages who wish to have a handle on differentiation, limits and integration. About the Author. Sudhir K. Sood obtained his Ph.D. degree in fundamental particle physics. As research scientist and Professor of Physics at Universities in France, Canada and India, Dr. Sood has taught a number of courses both at introductory and advanced graduate level. He has lectured at international Physics conferences and authored numerous well-cited research papers that are published in reputed peer reviewed journals. More recently, for more than a decade, he has taught physics and mathematics to students who wish to specialize in engineering, medicine and physical science courses.

Why choose this Book? * Most definitive text and student reference available on introductory calculus. * Learn about operations involving sequences, series, limits, factorials, differentiation, integration, and more. * Over 1,900 problems with step-by-step solutions that include detailed solution checking. * Self-teaching design effective for 12th grade through college level and adults. * Provides a strong foundation for students moving on to advanced college calculus. * Unique step-by-step approach makes math easy to learn and stimulates desire to learn.

* Provides a lifetime methodology for problem solving and eliminates fear of math. * Student-tested methods found only in Hamilton Education Guides.

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.