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A Textbook On Fundamentals Of Calculus
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Book Synopsis A Textbook on Fundamentals of Calculus by : Prof. (Dr.) Chaitanya Kumar
Download or read book A Textbook on Fundamentals of Calculus written by Prof. (Dr.) Chaitanya Kumar and published by Sultan Chand & Sons. This book was released on 2022-10-01 with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book has been designed in accordance with the Undergraduate Curriculum Framework-2022 followed by the Central Universities of India including University of Delhi under the National Education Policy (NEP)-2020. Keeping in mind the need to uphold students' interest in the subject, vivid explanation of concepts as well as explanatory illustrations followed by exercises have been included. The book is exclusively designed to help and guide the students of Mathematics DSC-5 B.Sc. (Hons.) Mathematics; GE-1(i) B.Sc./B.A. (Hons.) (Other than Mathematics); Discipline A-1 and GE-1(i) Bachelor in Multidisciplinary Courses. It is also useful for B.Tech. students of various Universities and for preparation of competitive examinations. The students of open and distance education courses will also find the book very beneficial. The Salient Features of the book are as follows: 1. An all-encompassing and self-sufficient textbook for UGCF-2022 based on NEP-2020. 2. Written in lucid and simple language. 3. Written with a view to present a qualitative understanding of the subject. 4. Comprehensive step-by-step explanation for easier understanding of the subject. 5. Many solved examples and unsolved problems have been drawn from recent examination papers of universities. 6. Answers to all the problems in each exercise are provided immediately after the exercise for the convenience of the reader.
Book Synopsis Fundamentals of Calculus by : Carla C. Morris
Download or read book Fundamentals of Calculus written by Carla C. Morris and published by John Wiley & Sons. This book was released on 2015-07-28 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: Features the techniques, methods, and applications of calculus using real-world examples from business and economics as well as the life and social sciences An introduction to differential and integral calculus, Fundamentals of Calculus presents key topics suited for a variety of readers in fields ranging from entrepreneurship and economics to environmental and social sciences. Practical examples from a variety of subject areas are featured throughout each chapter and step-by-step explanations for the solutions are presented. Specific techniques are also applied to highlight important information in each section, including symbols interspersed throughout to further reader comprehension. In addition, the book illustrates the elements of finite calculus with the varied formulas for power, quotient, and product rules that correlate markedly with traditional calculus. Featuring calculus as the “mathematics of change,” each chapter concludes with a historical notes section. Fundamentals of Calculus chapter coverage includes: Linear Equations and Functions The Derivative Using the Derivative Exponents and Logarithms Differentiation Techniques Integral Calculus Integrations Techniques Functions of Several Variables Series and Summations Applications to Probability Supplemented with online instructional support materials, Fundamentals of Calculus is an ideal textbook for undergraduate students majoring in business, economics, biology, chemistry, and environmental science.
Book Synopsis Fundamentals of Calculus by : Carla C. Morris
Download or read book Fundamentals of Calculus written by Carla C. Morris and published by John Wiley & Sons. This book was released on 2015-08-10 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: Features the techniques, methods, and applications of calculus using real-world examples from business and economics as well as the life and social sciences An introduction to differential and integral calculus, Fundamentals of Calculus presents key topics suited for a variety of readers in fields ranging from entrepreneurship and economics to environmental and social sciences. Practical examples from a variety of subject areas are featured throughout each chapter and step-by-step explanations for the solutions are presented. Specific techniques are also applied to highlight important information in each section, including symbols interspersed throughout to further reader comprehension. In addition, the book illustrates the elements of finite calculus with the varied formulas for power, quotient, and product rules that correlate markedly with traditional calculus. Featuring calculus as the “mathematics of change,” each chapter concludes with a historical notes section. Fundamentals of Calculus chapter coverage includes: Linear Equations and Functions The Derivative Using the Derivative Exponents and Logarithms Differentiation Techniques Integral Calculus Integrations Techniques Functions of Several Variables Series and Summations Applications to Probability Supplemented with online instructional support materials, Fundamentals of Calculus is an ideal textbook for undergraduate students majoring in business, economics, biology, chemistry, and environmental science.
Book Synopsis Fundamentals of Calculus by : Gerald Atkins
Download or read book Fundamentals of Calculus written by Gerald Atkins and published by Larsen and Keller Education. This book was released on 2019-06-17 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: Calculus is a branch of mathematics that studies continuous change. It can be divided into the two branches of differential and integral calculus. The principles of limits and infinitesimals, the fundamental theorem of calculus and the convergence of infinite sequences and infinite series are fundamental to the development of calculus. Current studies in this field are in the areas of reformulations of calculus such as non-standard calculus, smooth infinitesimal analysis and constructive analysis. An understanding of this domain is crucial for developing a functional approach to advanced mathematical analysis. Besides advancing the frontiers of advanced mathematics, calculus is also instrumental in science, engineering and economics. This book provides comprehensive insights into the field of calculus. Some of the diverse topics covered herein address the varied branches that fall under this category. Coherent flow of topics, student-friendly language and extensive use of examples make this textbook an invaluable source of knowledge.
Book Synopsis Advanced Calculus: Fundamentals of Mathematics by : Carlos Polanco
Download or read book Advanced Calculus: Fundamentals of Mathematics written by Carlos Polanco and published by Bentham Science Publishers. This book was released on 2019-07-31 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: Vector calculus is an essential mathematical tool for performing mathematical analysis of physical and natural phenomena. It is employed in advanced applications in the field of engineering and computer simulations. This textbook covers the fundamental requirements of vector calculus in curricula for college students in mathematics and engineering programs. Chapters start from the basics of vector algebra, real valued functions, different forms of integrals, geometric algebra and the various theorems relevant to vector calculus and differential forms. Readers will find a concise and clear study of vector calculus, along with several examples, exercises, and a case study in each chapter. The solutions to the exercises are also included at the end of the book. This is an ideal book for students with a basic background in mathematics who wish to learn about advanced calculus as part of their college curriculum and equip themselves with the knowledge to apply theoretical concepts in practical situations.
Download or read book Calculus written by Gilbert Strang and published by . This book was released on 2016-03-07 with total page 824 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Published by OpenStax College, Calculus is designed for the typical two- or three-semester general calculus course, incorporating innovative features to enhance student learning. The book guides students through the core concepts of calculus and helps them understand how those concepts apply to their lives and the world around them. Due to the comprehensive nature of the material, we are offering the book in three volumes for flexibility and efficiency. Volume 2 covers integration, differential equations, sequences and series, and parametric equations and polar coordinates."--BC Campus website.
Book Synopsis Foundation Calculus by : Pragnesh Gajjar
Download or read book Foundation Calculus written by Pragnesh Gajjar and published by Bloomsbury Publishing. This book was released on 2020-02-04 with total page 447 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook teaches the fundamentals of calculus, keeping points clear, succinct and focused, with plenty of diagrams and practice but relatively few words. It assumes a very basic knowledge but revises the key prerequisites before moving on. Definitions are highlighted for easy understanding and reference, and worked examples illustrate the explanations. Chapters are interwoven with exercises, whilst each chapter also ends with a comprehensive set of exercises, with answers in the back of the book. Introductory paragraphs describe the real-world application of each topic, and also include briefly where relevant any interesting historical facts about the development of the mathematical subject. This text is intended for undergraduate students in engineering taking a course in calculus. It works for the Foundation and 1st year levels. It has a companion volume Foundation Algebra.
Book Synopsis Introduction to Integral Calculus by : Ulrich L. Rohde
Download or read book Introduction to Integral Calculus written by Ulrich L. Rohde and published by John Wiley & Sons. This book was released on 2012-01-20 with total page 371 pages. Available in PDF, EPUB and Kindle. Book excerpt: An accessible introduction to the fundamentals of calculus needed to solve current problems in engineering and the physical sciences I ntegration is an important function of calculus, and Introduction to Integral Calculus combines fundamental concepts with scientific problems to develop intuition and skills for solving mathematical problems related to engineering and the physical sciences. The authors provide a solid introduction to integral calculus and feature applications of integration, solutions of differential equations, and evaluation methods. With logical organization coupled with clear, simple explanations, the authors reinforce new concepts to progressively build skills and knowledge, and numerous real-world examples as well as intriguing applications help readers to better understand the connections between the theory of calculus and practical problem solving. The first six chapters address the prerequisites needed to understand the principles of integral calculus and explore such topics as anti-derivatives, methods of converting integrals into standard form, and the concept of area. Next, the authors review numerous methods and applications of integral calculus, including: Mastering and applying the first and second fundamental theorems of calculus to compute definite integrals Defining the natural logarithmic function using calculus Evaluating definite integrals Calculating plane areas bounded by curves Applying basic concepts of differential equations to solve ordinary differential equations With this book as their guide, readers quickly learn to solve a broad range of current problems throughout the physical sciences and engineering that can only be solved with calculus. Examples throughout provide practical guidance, and practice problems and exercises allow for further development and fine-tuning of various calculus skills. Introduction to Integral Calculus is an excellent book for upper-undergraduate calculus courses and is also an ideal reference for students and professionals who would like to gain a further understanding of the use of calculus to solve problems in a simplified manner.
Book Synopsis Fundamentals of Calculus and Probability by : Timothy C. Kearns
Download or read book Fundamentals of Calculus and Probability written by Timothy C. Kearns and published by Author House. This book was released on 2014-05 with total page 171 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Fundamentals of Calculus and Probability" is a book intended for students that have already had a course or two in Calculus, but perhaps not recently. The book is an assortment of topics related to basic mathematical and statistical analysis. It starts with a discussion of the real number system and some set theory, which includes a discussion of countable and uncountable infinity, which is an important and relevant part of advanced mathematics. From there, the book contains a chapter that provides a review of some of the key concepts of single-variable calculus. Then the book discusses a bit of so-called "measure" and how this relates to the integers, rationals, irrational, and real number systems. Finally, the book discusses probability, important probability distributions, and a good introduction to the basic concepts of statistical estimation and statistical inference (hypothesis testing). Along the way, the author interjects some of his own speculations about certain mathematical topics, and some comments about probability distributions, and in addition some topics involving space and time. It is not a textbook with exercises, but it has an abundance of examples throughout to explain the essential concepts and ideas. The book should appeal to students returning to school for graduate study, in a field such as statistics, that would benefit from an overview of many important topics in mathematics and statistics, which they will encounter in their advanced studies.
Book Synopsis Introduction to Calculus and Analysis II/1 by : Richard Courant
Download or read book Introduction to Calculus and Analysis II/1 written by Richard Courant and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 585 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the reviews: "...one of the best textbooks introducing several generations of mathematicians to higher mathematics. ... This excellent book is highly recommended both to instructors and students." --Acta Scientiarum Mathematicarum, 1991
Book Synopsis Calculus for Engineering Students by : Jesus Martin Vaquero
Download or read book Calculus for Engineering Students written by Jesus Martin Vaquero and published by Academic Press. This book was released on 2020-08-10 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: Calculus for Engineering Students: Fundamentals, Real Problems, and Computers insists that mathematics cannot be separated from chemistry, mechanics, electricity, electronics, automation, and other disciplines. It emphasizes interdisciplinary problems as a way to show the importance of calculus in engineering tasks and problems. While concentrating on actual problems instead of theory, the book uses Computer Algebra Systems (CAS) to help students incorporate lessons into their own studies. Assuming a working familiarity with calculus concepts, the book provides a hands-on opportunity for students to increase their calculus and mathematics skills while also learning about engineering applications. - Organized around project-based rather than traditional homework-based learning - Reviews basic mathematics and theory while also introducing applications - Employs uniform chapter sections that encourage the comparison and contrast of different areas of engineering
Book Synopsis Calculus Made Easy by : Silvanus P. Thompson
Download or read book Calculus Made Easy written by Silvanus P. Thompson and published by St. Martin's Press. This book was released on 2014-03-18 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: Calculus Made Easy by Silvanus P. Thompson and Martin Gardner has long been the most popular calculus primer. This major revision of the classic math text makes the subject at hand still more comprehensible to readers of all levels. With a new introduction, three new chapters, modernized language and methods throughout, and an appendix of challenging and enjoyable practice problems, Calculus Made Easy has been thoroughly updated for the modern reader.
Book Synopsis A First Course in Calculus by : Serge Lang
Download or read book A First Course in Calculus written by Serge Lang and published by Springer Science & Business Media. This book was released on 2012-09-17 with total page 741 pages. Available in PDF, EPUB and Kindle. Book excerpt: This fifth edition of Lang's book covers all the topics traditionally taught in the first-year calculus sequence. Divided into five parts, each section of A FIRST COURSE IN CALCULUS contains examples and applications relating to the topic covered. In addition, the rear of the book contains detailed solutions to a large number of the exercises, allowing them to be used as worked-out examples -- one of the main improvements over previous editions.
Book Synopsis The Calculus Primer by : William L. Schaaf
Download or read book The Calculus Primer written by William L. Schaaf and published by Courier Corporation. This book was released on 2014-03-05 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: Comprehensive but concise, this introduction to differential and integral calculus covers all the topics usually included in a first course. The straightforward development places less emphasis on mathematical rigor, and the informal manner of presentation sets students at ease. Many carefully worked-out examples illuminate the text, in addition to numerous diagrams, problems, and answers. Bearing the needs of beginners constantly in mind, the treatment covers all the basic concepts of calculus: functions, derivatives, differentiation of algebraic and transcendental functions, partial differentiation, indeterminate forms, general and special methods of integration, the definite integral, partial integration, and other fundamentals. Ample exercises permit students to test their grasp of subjects before moving forward, making this volume appropriate not only for classroom use but also for review and home study.
Book Synopsis Financial Calculus by : Martin Baxter
Download or read book Financial Calculus written by Martin Baxter and published by Cambridge University Press. This book was released on 1996-09-19 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: A rigorous introduction to the mathematics of pricing, construction and hedging of derivative securities.
Book Synopsis Calculus: A Rigorous First Course by : Daniel J. Velleman
Download or read book Calculus: A Rigorous First Course written by Daniel J. Velleman and published by Courier Dover Publications. This book was released on 2017-01-18 with total page 737 pages. Available in PDF, EPUB and Kindle. Book excerpt: Designed for undergraduate mathematics majors, this rigorous and rewarding treatment covers the usual topics of first-year calculus: limits, derivatives, integrals, and infinite series. Author Daniel J. Velleman focuses on calculus as a tool for problem solving rather than the subject's theoretical foundations. Stressing a fundamental understanding of the concepts of calculus instead of memorized procedures, this volume teaches problem solving by reasoning, not just calculation. The goal of the text is an understanding of calculus that is deep enough to allow the student to not only find answers to problems, but also achieve certainty of the answers' correctness. No background in calculus is necessary. Prerequisites include proficiency in basic algebra and trigonometry, and a concise review of both areas provides sufficient background. Extensive problem material appears throughout the text and includes selected answers. Complete solutions are available to instructors.
Book Synopsis Proofs and Fundamentals by : Ethan D. Bloch
Download or read book Proofs and Fundamentals written by Ethan D. Bloch and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to help students write mathematics better. Throughout it are large exercise sets well-integrated with the text and varying appropriately from easy to hard. Basic issues are treated, and attention is given to small issues like not placing a mathematical symbol directly after a punctuation mark. And it provides many examples of what students should think and what they should write and how these two are often not the same.
