Fundamentals of Calculus PDF Download
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Author: Carla C. Morris
Publisher: John Wiley & Sons
ISBN: 1119015316
Category : Mathematics
Languages : en
Pages : 368
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Book Description
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.
Author: Carla C. Morris
Publisher: John Wiley & Sons
ISBN: 1119015316
Category : Mathematics
Languages : en
Pages : 368
Get Book Here
Book Description
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.
Author: Sanjay Mishra
Publisher: Pearson Education India
ISBN: 9332587744
Category :
Languages : en
Pages : 1026
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Book Description
Fundamentals of Mathematics' is a series of seven books, which are designed to provide comprehensive study material on speci_c areas in mathematics. It is an ideal companion for students who would like to master a particular subject area based on their individual requirements. All books in this series provide extensive coverage of the topics supported by numerous solved examples. The concepts are explained in a meticulously manner with ample illustrations and practice exercises (with answers). Overall these books enable quick learning and aid thorough preparation to crack the various engineering entrance examinations.
Author: Ulrich L. Rohde
Publisher: John Wiley & Sons
ISBN: 1118130332
Category : Mathematics
Languages : en
Pages : 371
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Book Description
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.
Author: George E. Owen
Publisher: Courier Corporation
ISBN: 9780486428086
Category : Mathematics
Languages : en
Pages : 308
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Book Description
Rewarding undergraduate text, derived from an experimental program in teaching mathematics at the secondary-school level. This text provides a good introduction to geometry and matrices, vector algebra, analytic geometry, functions, and differential and integral calculus. "...solid modern mathematical content..." — American Scientist. Over 200 figures. 1964 edition.
Author: Sanjay Mishra
Publisher: G.K Publications Pvt.Limited
ISBN: 9788193975916
Category : Study Aids
Languages : en
Pages : 1020
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Book Description
?Fundamentals of Mathematics? is a series of seven books designed to provide comprehensive study material on specific areas in Mathematics. The books are ideal companions of students aspiring to master a particular subject area as per their individual requirements. All books in this series provide extensive coverage of topics supported by numerous solved examples. The concepts are explained meticulously with ample illustrations and practice exercises with solutions. The books also equip aspiring engineers aiming for IIT-JEE, AIEEE, bit-sat, and other state Engineering entrance examinations. This series is customized, class-tested and structure driven with conceptual approach to the subject. The authority, command and experience of the author, Sanjay Mishra is reflected in the clear explanations of complex concepts and in the chapter-end exercises. Each volume in this series is planned in a student-friendly manner to make the learning process easier, more reflective and enjoyable. Salient features: a. Rich theory followed by subjective and objective exercises B. Ample illustrations to aid learning C. Tutorial exercises with MCQs, comprehension passages, column matching and numerical integer type exercises.?Fundamentals of Mathematics? is a series of seven books designed to provide comprehensive study material on specific areas in Mathematics. The books are ideal companions of students aspiring to master a particular subject area as per their individual requirements. All books in this series provide extensive coverage of topics supported by numerous solved examples. The concepts are explained meticulously with ample illustrations and practice exercises with solutions. The books also equip aspiring engineers aiming for IIT-JEE, AIEEE, bit-sat, and other state Engineering entrance examinations. This series is customized, class-tested and structure driven with conceptual approach to the subject. The authority, command and experience of the author, Sanjay Mishra is reflected in the clear explanations of complex concepts and in the chapter-end exercises. Each volume in this series is planned in a student-friendly manner to make the learning process easier, more reflective and enjoyable. Salient features: a. Rich theory followed by subjective and objective exercises B. Ample illustrations to aid learning C. Tutorial exercises with MCQs, comprehension passages, column matching and numerical integer type exercises.
Author: Henri Bourles
Publisher: Elsevier
ISBN: 0081023863
Category : Mathematics
Languages : en
Pages : 428
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Book Description
Fundamentals of Advanced Mathematics, Volume Three, begins with the study of differential and analytic infinite-dimensional manifolds, then progresses into fibered bundles, in particular, tangent and cotangent bundles. In addition, subjects covered include the tensor calculus on manifolds, differential and integral calculus on manifolds (general Stokes formula, integral curves and manifolds), an analysis on Lie groups, the Haar measure, the convolution of functions and distributions, and the harmonic analysis over a Lie group. Finally, the theory of connections is (linear connections, principal connections, and Cartan connections) covered, as is the calculus of variations in Lagrangian and Hamiltonian formulations. This volume is the prerequisite to the analytic and geometric study of nonlinear systems. - Includes sections on differential and analytic manifolds, vector bundles, tensors, Lie derivatives, applications to algebraic topology, and more - Presents an ideal prerequisite resource on the analytic and geometric study of nonlinear systems - Provides theory as well as practical information
Author: Sanjay Mishra
Publisher: Pearson Education India
ISBN: 9332517908
Category :
Languages : en
Pages : 897
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Book Description
Fundamentals of Mathematics is a series of seven books offering comprehensive study material to crack the various engineering entrance examinations. As other books in the series, this book also provides extensive coverage of the specific topic. It meticulously explains concepts supplemented with numerous illustrations, examples and practice exercises which facilitates conceptual clarity.
Author: Colin McGregor
Publisher: Elsevier
ISBN: 0857092243
Category : Mathematics
Languages : en
Pages : 564
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Book Description
The third edition of this popular and effective textbook provides in one volume a unified treatment of topics essential for first year university students studying for degrees in mathematics. Students of computer science, physics and statistics will also find this book a helpful guide to all the basic mathematics they require. It clearly and comprehensively covers much of the material that other textbooks tend to assume, assisting students in the transition to university-level mathematics.Expertly revised and updated, the chapters cover topics such as number systems, set and functions, differential calculus, matrices and integral calculus. Worked examples are provided and chapters conclude with exercises to which answers are given. For students seeking further challenges, problems intersperse the text, for which complete solutions are provided. Modifications in this third edition include a more informal approach to sequence limits and an increase in the number of worked examples, exercises and problems.The third edition of Fundamentals of university mathematics is an essential reference for first year university students in mathematics and related disciplines. It will also be of interest to professionals seeking a useful guide to mathematics at this level and capable pre-university students. - One volume, unified treatment of essential topics - Clearly and comprehensively covers material beyond standard textbooks - Worked examples, challenges and exercises throughout
Author: Hari Kishan
Publisher: Atlantic Publishers & Dist
ISBN: 9788126905591
Category :
Languages : en
Pages : 390
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Book Description
The Present Book Integral Calculus Is A Unique Textbook On Integration, Aiming At Providing A Fairly Complete Account Of The Basic Concepts Required To Build A Strong Foundation For A Student Endeavouring To Study This Subject. The Analytical Approach To The Major Concepts Makes The Book Highly Self-Contained And Comprehensive Guide That Succeeds In Making The Concepts Easily Understandable. These Concepts Include Integration By Substitution Method, Parts, Trigonometrical Substitutions And Partial Functions; Integration Of Hyperbolic Functions, Rational Functions, Irrational Functions And Transcendental Functions; Definite Integrals; Reduction Formulae; Beta And Gamma Functions; Determination Of Areas, Lengths, Volumes And Surfaces Of Solids Of Revolution And Many More. All The Elementary Principles And Fundamental Concepts Have Been Explained Rigorously, Leaving No Scope For Illusion Or Confusion. The Focus Throughout The Text Has Been On Presenting The Subject Matter In A Well-Knit Manner And Lucid Style, So That Even A Student With Average Mathematical Skill Would Find It Accessible To Himself. In Addition, The Book Provides Numerous Well-Graded Solved Examples, Generally Set In Various University And Competitive Examinations, Which Will Facilitate Easy Understanding Besides Acquainting The Students With A Variety Of Questions.It Is Hoped That The Book Would Be Highly Useful For The Students And Teachers Of Mathematics. Students Aspiring To Successfully Accomplish Engineering And Also Those Preparing For Various Competitive Examinations Are Likely To Find This Book Of Much Help.
Author: Gerald Atkins
Publisher: Larsen and Keller Education
ISBN: 9781641721400
Category :
Languages : en
Pages : 276
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Book Description
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.
