The Differential Calculus
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Author | : Euler |
Publisher | : Springer Science & Business Media |
Total Pages | : 208 |
Release | : 2006-05-04 |
Genre | : Mathematics |
ISBN | : 0387226451 |
The positive response to the publication of Blanton's English translations of Euler's "Introduction to Analysis of the Infinite" confirmed the relevance of this 240 year old work and encouraged Blanton to translate Euler's "Foundations of Differential Calculus" as well. The current book constitutes just the first 9 out of 27 chapters. The remaining chapters will be published at a later time. With this new translation, Euler's thoughts will not only be more accessible but more widely enjoyed by the mathematical community.
Author | : David B. Massey |
Publisher | : |
Total Pages | : 565 |
Release | : 2009-01-01 |
Genre | : |
ISBN | : 9780984207190 |
Author | : Michael J. Field |
Publisher | : Courier Corporation |
Total Pages | : 338 |
Release | : 2013-04-10 |
Genre | : Mathematics |
ISBN | : 0486298841 |
Based on undergraduate courses in advanced calculus, the treatment covers a wide range of topics, from soft functional analysis and finite-dimensional linear algebra to differential equations on submanifolds of Euclidean space. 1976 edition.
Author | : Ulrich L. Rohde |
Publisher | : John Wiley & Sons |
Total Pages | : 788 |
Release | : 2012-01-11 |
Genre | : Mathematics |
ISBN | : 1118117751 |
Enables readers to apply the fundamentals of differential calculus to solve real-life problems in engineering and the physical sciences Introduction to Differential Calculus fully engages readers by presenting the fundamental theories and methods of differential calculus and then showcasing how the discussed concepts can be applied to real-world problems in engineering and the physical sciences. With its easy-to-follow style and accessible explanations, the book sets a solid foundation before advancing to specific calculus methods, demonstrating the connections between differential calculus theory and its applications. The first five chapters introduce underlying concepts such as algebra, geometry, coordinate geometry, and trigonometry. Subsequent chapters present a broad range of theories, methods, and applications in differential calculus, including: Concepts of function, continuity, and derivative Properties of exponential and logarithmic function Inverse trigonometric functions and their properties Derivatives of higher order Methods to find maximum and minimum values of a function Hyperbolic functions and their properties Readers are equipped with the necessary tools to quickly learn how to understand 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 Differential Calculus is an excellent book for upper-undergraduate calculus courses and is also an ideal reference for students and professionals alike who would like to gain a further understanding of the use of calculus to solve problems in a simplified manner.
Author | : H. S. Dhami |
Publisher | : New Age International |
Total Pages | : 422 |
Release | : 2007 |
Genre | : |
ISBN | : 9788122411461 |
Differential Calculus, An Outgrowth Of The Problems Concerned With Slope Of Curved Lines And The Areas Enclosed By Them Has Developed So Much That Texts Are Required Which May Lead The Students Directly To The Heart Of The Subject And Prepare Them For Challenges Of The Field. The Present Book Is An Attempt In This Regard. An Excellent Book On Differential Calculus This Book Has Been Meticulously Planned And Numerous Solved Examples Have Been Selected To Make The Subject Interesting; Besides Problems Are Given At The End Of Each Main Theorem Which Supplement The Text And By Solving Them The Reader Can Judge His Level Of Understanding Of The Given Facts.Exercises Have Been Framed By Arranging Questions In Such A Manner That After Doing Illustrative Examples, One Should Not Feel Difficulty In Solving Any Problem. Considerable Material Has Been Included Here That Covers A Large Number Of Courses. This Has Been Done To Make The Book More Flexible, To Provide A Useful Book Of Reference And To Stimulate Further Interest In The Topics.
Author | : Ulrich L. Rohde |
Publisher | : John Wiley & Sons |
Total Pages | : 371 |
Release | : 2012-01-20 |
Genre | : Mathematics |
ISBN | : 1118130332 |
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 | : G. Baranenkov |
Publisher | : |
Total Pages | : 496 |
Release | : 1973 |
Genre | : Mathematical analysis |
ISBN | : |
Author | : Edwin Herman |
Publisher | : |
Total Pages | : 0 |
Release | : 2016-03-30 |
Genre | : Calculus |
ISBN | : 9781947172838 |
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 3 covers parametric equations and polar coordinates, vectors, functions of several variables, multiple integration, and second-order differential equations.
Author | : H. S. Bear |
Publisher | : Courier Corporation |
Total Pages | : 226 |
Release | : 2013-10-30 |
Genre | : Mathematics |
ISBN | : 0486143643 |
First-rate introduction for undergraduates examines first order equations, complex-valued solutions, linear differential operators, the Laplace transform, Picard's existence theorem, and much more. Includes problems and solutions.
Author | : Richard Courant |
Publisher | : John Wiley & Sons |
Total Pages | : 634 |
Release | : 2011-08-15 |
Genre | : Mathematics |
ISBN | : 1118031490 |
The classic introduction to the fundamentals of calculus Richard Courant's classic text Differential and Integral Calculus is an essential text for those preparing for a career in physics or applied math. Volume 1 introduces the foundational concepts of "function" and "limit", and offers detailed explanations that illustrate the "why" as well as the "how". Comprehensive coverage of the basics of integrals and differentials includes their applications as well as clearly-defined techniques and essential theorems. Multiple appendices provide supplementary explanation and author notes, as well as solutions and hints for all in-text problems.