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Author: AKHTAR, AHSAN
Publisher: PHI Learning Pvt. Ltd.
ISBN: 9389347726
Category : Mathematics
Languages : en
Pages : 504
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Book Description
Calculus is a powerful mathematical tool with applications in almost every branch of science and engineering. This subject is therefore considered to occupy the central position in mathematics. The third edition of Textbook of Differential Calculus is thoroughly revised as per the latest syllabi of various Indian universities for undergraduate courses in mathematics and engineering. The text is designed with rich collection of solved examples and problems to motivate students. Calculus is best understood via geometry. A major section of the text is devoted to topics on geometrical applications of calculus that includes treatment of topics such as tangents and normal to curves, curvature, asymptotes, maxima and minima of functions. KEY FEATURES • A large number of solved examples, section-end questions and theorems help to build an intuitive understanding of mathematics. • Questions have been selected from previous years’ examination papers. • Multiple-choice questions, with answers, at the end of the book, help students to prepare for competitive examinations. NEW TO THE THIRD EDITION • Provides several new examples in the existing chapters • Includes a new chapter on Jacobians (Chapter 6)
Author: AKHTAR, AHSAN
Publisher: PHI Learning Pvt. Ltd.
ISBN: 9389347726
Category : Mathematics
Languages : en
Pages : 504
Get Book Here
Book Description
Calculus is a powerful mathematical tool with applications in almost every branch of science and engineering. This subject is therefore considered to occupy the central position in mathematics. The third edition of Textbook of Differential Calculus is thoroughly revised as per the latest syllabi of various Indian universities for undergraduate courses in mathematics and engineering. The text is designed with rich collection of solved examples and problems to motivate students. Calculus is best understood via geometry. A major section of the text is devoted to topics on geometrical applications of calculus that includes treatment of topics such as tangents and normal to curves, curvature, asymptotes, maxima and minima of functions. KEY FEATURES • A large number of solved examples, section-end questions and theorems help to build an intuitive understanding of mathematics. • Questions have been selected from previous years’ examination papers. • Multiple-choice questions, with answers, at the end of the book, help students to prepare for competitive examinations. NEW TO THE THIRD EDITION • Provides several new examples in the existing chapters • Includes a new chapter on Jacobians (Chapter 6)
Author: Euler
Publisher: Springer Science & Business Media
ISBN: 0387226451
Category : Mathematics
Languages : en
Pages : 208
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Book Description
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: G. Baranenkov
Publisher:
ISBN:
Category : Mathematical analysis
Languages : en
Pages : 496
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Book Description
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: Ganesh Prasad
Publisher:
ISBN:
Category : Differential calculus
Languages : en
Pages : 186
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Book Description
Author: H. S. Bear
Publisher: Courier Corporation
ISBN: 0486143643
Category : Mathematics
Languages : en
Pages : 226
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Book Description
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
ISBN: 1118031490
Category : Mathematics
Languages : en
Pages : 634
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Book Description
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.
Author: Kenneth Kuttler
Publisher: World Scientific
ISBN: 9814324264
Category : Mathematics
Languages : en
Pages : 501
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Book Description
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.
Author: Shanti Narayan
Publisher: S. Chand Publishing
ISBN: 8121904714
Category : Mathematics
Languages : en
Pages : 400
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Book Description
This textbook commences with a brief outline of development of real numbers, their expression as infinite decimals and their representation by points along a line. While the first part of the textbook is analytical, the latter part deals with the geometrical applications of the subject. Numerous examples and exercises have been provided to support student's understanding. This textbook has been designed to meet the requirements of undergraduate students of BA and BSc courses.
Author: Theodore Shifrin
Publisher: John Wiley & Sons
ISBN: 047152638X
Category : Mathematics
Languages : en
Pages : 514
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Book Description
Multivariable Mathematics combines linear algebra and multivariable mathematics in a rigorous approach. The material is integrated to emphasize the recurring theme of implicit versus explicit that persists in linear algebra and analysis. In the text, the author includes 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 includes complete proofs. * Contains plenty of examples, clear proofs, and significant motivation for the crucial concepts. * Numerous exercises of varying levels of difficulty, both computational and more proof-oriented. * Exercises are arranged in order of increasing difficulty.
