An Introduction To The Differential And Integral Calculus

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Differential And Integral Calculus Volume 1
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Author : Richard Courant
language : en
Publisher: John Wiley & Sons
Release Date : 1988-02-23
Differential And Integral Calculus Volume 1 written by Richard Courant and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988-02-23 with Mathematics categories.
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.
Introduction To The Differential And Integral Calculus
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Author : James Thomson
language : en
Publisher:
Release Date : 1848
Introduction To The Differential And Integral Calculus written by James Thomson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1848 with Calculus categories.
Introduction To Nonlinear Differential And Integral Equations
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Author : Harold Thayer Davis
language : en
Publisher: Courier Corporation
Release Date : 1962-01-01
Introduction To Nonlinear Differential And Integral Equations written by Harold Thayer Davis and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 1962-01-01 with Mathematics categories.
Topics covered include differential equations of the 1st order, the Riccati equation and existence theorems, 2nd order equations, elliptic integrals and functions, nonlinear mechanics, nonlinear integral equations, more. Includes 137 problems.
An Introduction To The Differential And Integral Calculus
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Author : James Thomson
language : en
Publisher:
Release Date : 1831
An Introduction To The Differential And Integral Calculus written by James Thomson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1831 with categories.
Introduction To Integral Calculus
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Author : Ulrich L. Rohde
language : en
Publisher: John Wiley & Sons
Release Date : 2012-01-20
Introduction To Integral Calculus written by Ulrich L. Rohde and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-01-20 with Mathematics categories.
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.
Single Variable Differential And Integral Calculus
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Author : Elimhan Mahmudov
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-19
Single Variable Differential And Integral Calculus written by Elimhan Mahmudov and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-19 with Mathematics categories.
The book “Single variable Differential and Integral Calculus” is an interesting text book for students of mathematics and physics programs, and a reference book for graduate students in any engineering field. This book is unique in the field of mathematical analysis in content and in style. It aims to define, compare and discuss topics in single variable differential and integral calculus, as well as giving application examples in important business fields. Some elementary concepts such as the power of a set, cardinality, measure theory, measurable functions are introduced. It also covers real and complex numbers, vector spaces, topological properties of sets, series and sequences of functions (including complex-valued functions and functions of a complex variable), polynomials and interpolation and extrema of functions. Although analysis is based on the single variable models and applications, theorems and examples are all set to be converted to multi variable extensions. For example, Newton, Riemann, Stieltjes and Lebesque integrals are studied together and compared.
Differential And Integral Calculus
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Author : Edmund Landau
language : en
Publisher: University of Pennsylvania Press
Release Date : 2001
Differential And Integral Calculus written by Edmund Landau and has been published by University of Pennsylvania Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Mathematics categories.
After completing his famous Foundations of Analysis, Landau turned his attention to this book on calculus. The approach is that of an unrepentant analyst, with an emphasis on functions rather than on geometric or physical applications. The book is another example of Landau's formidable skill as an expositor. It is a masterpiece of rigor and clarity. And what a book it is! The marks of Landau's thoroughness and elegance, and of his undoubted authority, impress themselves on the reader at every turn, from the opening of the preface ... to the closing of the final chapter. It is a book that all analysts ... should possess ... to see how a master of his craft like Landau presented the calculus when he was at the height of his power and reputation. --Mathematical Gazette
An Introduction To The Differential And Integral Calculus
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Author : James Thomson
language : en
Publisher:
Release Date : 1849
An Introduction To The Differential And Integral Calculus written by James Thomson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1849 with categories.
Calculus
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Author : Kenneth Kuttler
language : en
Publisher: World Scientific
Release Date : 2011
Calculus written by Kenneth Kuttler and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Mathematics categories.
This is a book on single variable calculus including most of the important applications of calculus. It also includes proofs of all theorems presented, either in the text itself, or in an appendix. It also contains an introduction to vectors and vector products which is developed further in Volume 2. While the book does include all the proofs of the theorems, many of the applications are presented more simply and less formally than is often the case in similar titles. Supplementary materials are available upon request for all instructors who adopt this book as a course text. Please send your request to [email protected]. This book is also available as a set with Volume 2: CALCULUS: Theory and Applications.
Multivariable Mathematics
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Author : Theodore Shifrin
language : en
Publisher: John Wiley & Sons
Release Date : 2004-01-26
Multivariable Mathematics written by Theodore Shifrin and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-01-26 with Mathematics categories.
Multivariable Mathematics combines linear algebra and multivariable calculus in a rigorous approach. The material is integrated to emphasize the role of linearity in all of calculus and the recurring theme of implicit versus explicit that persists in linear algebra and analysis. In the text, the author addresses all of the standard computational material found in the usual linear algebra and multivariable calculus courses, and more, interweaving the material as effectively as possible and also including complete proofs. By emphasizing the theoretical aspects and reviewing the linear algebra material quickly, the book can also be used as a text for an advanced calculus or multivariable analysis course culminating in a treatment of manifolds, differential forms, and the generalized Stokes’s Theorem.