Mathematics Ii Calculus Ordinary Differential Equations And Complex Variable

Author : Bhui, Bikas Chandra & Chatterjee Dipak
Publisher : Vikas Publishing House
Page : 128 pages
File Size : 46,6 Mb
Release : 2024-05-19
Category : Electronic
ISBN : 9789353381318

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Mathematics-II (Calculus, Ordinary Differential Equations and Complex Variable) by Bhui, Bikas Chandra & Chatterjee Dipak Pdf

Mathematics-II (Calculus, Ordinary Differential Equations and Complex Variable) for the paper BSC-104 of the latest AICTE syllabus has been written for the second semester engineering students of Indian universities. Paper BSC-104 is common for all streams except CS&E students. The book has been planned with utmost care in the exposition of concepts, choice of illustrative examples, and also in sequencing of topics. The language is simple, yet accurate. A large number of worked-out problems have been included to familiarize the students with the techniques to solving them, and to instil confidence. Authors’ long experience of teaching various grades of students has helped in laying proper emphasis on various techniques of solving difficult problems.

Author : Chin-Yuan Lin
Publisher : World Scientific
Page : 555 pages
File Size : 52,9 Mb
Release : 2011
Category : Mathematics
ISBN : 9789814307123

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Theory and Examples of Ordinary Differential Equations by Chin-Yuan Lin Pdf

This book presents a complete theory of ordinary differential equations, with many illustrative examples and interesting exercises. A rigorous treatment is offered in this book with clear proofs for the theoretical results and with detailed solutions for the examples and problems. This book is intended for undergraduate students who major in mathematics and have acquired a prerequisite knowledge of calculus and partly the knowledge of a complex variable, and are now reading advanced calculus and linear algebra. Additionally, the comprehensive coverage of the theory with a wide array of examples and detailed solutions, would appeal to mathematics graduate students and researchers as well as graduate students in majors of other disciplines. As a handy reference, advanced knowledge is provided in this book with details developed beyond the basics; optional sections, where main results are extended, offer an understanding of further applications of ordinary differential equations.

Author : Carlos A. Berenstein,Roger Gay
Publisher : Springer Science & Business Media
Page : 664 pages
File Size : 53,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461230243

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Complex Variables by Carlos A. Berenstein,Roger Gay Pdf

Textbooks, even excellent ones, are a reflection of their times. Form and content of books depend on what the students know already, what they are expected to learn, how the subject matter is regarded in relation to other divisions of mathematics, and even how fashionable the subject matter is. It is thus not surprising that we no longer use such masterpieces as Hurwitz and Courant's Funktionentheorie or Jordan's Cours d'Analyse in our courses. The last two decades have seen a significant change in the techniques used in the theory of functions of one complex variable. The important role played by the inhomogeneous Cauchy-Riemann equation in the current research has led to the reunification, at least in their spirit, of complex analysis in one and in several variables. We say reunification since we think that Weierstrass, Poincare, and others (in contrast to many of our students) did not consider them to be entirely separate subjects. Indeed, not only complex analysis in several variables, but also number theory, harmonic analysis, and other branches of mathematics, both pure and applied, have required a reconsidera tion of analytic continuation, ordinary differential equations in the complex domain, asymptotic analysis, iteration of holomorphic functions, and many other subjects from the classic theory of functions of one complex variable. This ongoing reconsideration led us to think that a textbook incorporating some of these new perspectives and techniques had to be written.

Author : Luis Barreira,Claudia Valls
Publisher : Springer Science & Business Media
Page : 417 pages
File Size : 49,6 Mb
Release : 2012-04-23
Category : Mathematics
ISBN : 9781447140085

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Complex Analysis and Differential Equations by Luis Barreira,Claudia Valls Pdf

This text provides an accessible, self-contained and rigorous introduction to complex analysis and differential equations. Topics covered include holomorphic functions, Fourier series, ordinary and partial differential equations. The text is divided into two parts: part one focuses on complex analysis and part two on differential equations. Each part can be read independently, so in essence this text offers two books in one. In the second part of the book, some emphasis is given to the application of complex analysis to differential equations. Half of the book consists of approximately 200 worked out problems, carefully prepared for each part of theory, plus 200 exercises of variable levels of difficulty. Tailored to any course giving the first introduction to complex analysis or differential equations, this text assumes only a basic knowledge of linear algebra and differential and integral calculus. Moreover, the large number of examples, worked out problems and exercises makes this the ideal book for independent study.

Author : Einar Hille
Publisher : Courier Corporation
Page : 514 pages
File Size : 52,8 Mb
Release : 1997-01-01
Category : Mathematics
ISBN : 0486696200

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Ordinary Differential Equations in the Complex Domain by Einar Hille Pdf

Graduate-level text offers full treatments of existence theorems, representation of solutions by series, theory of majorants, dominants and minorants, questions of growth, much more. Includes 675 exercises. Bibliography.

Author : Mariano Giaquinta,Giuseppe Modica
Publisher : Springer Science & Business Media
Page : 348 pages
File Size : 55,7 Mb
Release : 2010-07-25
Category : Mathematics
ISBN : 9780817646127

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Mathematical Analysis by Mariano Giaquinta,Giuseppe Modica Pdf

This superb and self-contained work is an introductory presentation of basic ideas, structures, and results of differential and integral calculus for functions of several variables. The wide range of topics covered include the differential calculus of several variables, including differential calculus of Banach spaces, the relevant results of Lebesgue integration theory, and systems and stability of ordinary differential equations. An appendix highlights important mathematicians and other scientists whose contributions have made a great impact on the development of theories in analysis. This text motivates the study of the analysis of several variables with examples, observations, exercises, and illustrations. It may be used in the classroom setting or for self-study by advanced undergraduate and graduate students and as a valuable reference for researchers in mathematics, physics, and engineering.

Author : H. F. Weinberger
Publisher : Courier Corporation
Page : 482 pages
File Size : 55,9 Mb
Release : 2012-04-20
Category : Mathematics
ISBN : 9780486132044

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A First Course in Partial Differential Equations by H. F. Weinberger Pdf

Suitable for advanced undergraduate and graduate students, this text presents the general properties of partial differential equations, including the elementary theory of complex variables. Solutions. 1965 edition.

Author : Jeremy Gray
Publisher : Springer Science & Business Media
Page : 357 pages
File Size : 54,5 Mb
Release : 2010-01-07
Category : Mathematics
ISBN : 9780817647735

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Linear Differential Equations and Group Theory from Riemann to Poincare by Jeremy Gray Pdf

This book is a study of how a particular vision of the unity of mathematics, often called geometric function theory, was created in the 19th century. The central focus is on the convergence of three mathematical topics: the hypergeometric and related linear differential equations, group theory, and on-Euclidean geometry. The text for this second edition has been greatly expanded and revised, and the existing appendices enriched. The exercises have been retained, making it possible to use the book as a companion to mathematics courses at the graduate level.

Author : Stephen A. Wirkus,Randall J. Swift
Publisher : CRC Press
Page : 807 pages
File Size : 48,9 Mb
Release : 2014-12-15
Category : Mathematics
ISBN : 9781466509108

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A Course in Ordinary Differential Equations by Stephen A. Wirkus,Randall J. Swift Pdf

A Course in Ordinary Differential Equations, Second Edition teaches students how to use analytical and numerical solution methods in typical engineering, physics, and mathematics applications. Lauded for its extensive computer code and student-friendly approach, the first edition of this popular textbook was the first on ordinary differential equations (ODEs) to include instructions on using MATLAB®, Mathematica®, and MapleTM. This second edition reflects the feedback of students and professors who used the first edition in the classroom. New to the Second Edition Moves the computer codes to Computer Labs at the end of each chapter, which gives professors flexibility in using the technology Covers linear systems in their entirety before addressing applications to nonlinear systems Incorporates the latest versions of MATLAB, Maple, and Mathematica Includes new sections on complex variables, the exponential response formula for solving nonhomogeneous equations, forced vibrations, and nondimensionalization Highlights new applications and modeling in many fields Presents exercise sets that progress in difficulty Contains color graphs to help students better understand crucial concepts in ODEs Provides updated and expanded projects in each chapter Suitable for a first undergraduate course, the book includes all the basics necessary to prepare students for their future studies in mathematics, engineering, and the sciences. It presents the syntax from MATLAB, Maple, and Mathematica to give students a better grasp of the theory and gain more insight into real-world problems. Along with covering traditional topics, the text describes a number of modern topics, such as direction fields, phase lines, the Runge-Kutta method, and epidemiological and ecological models. It also explains concepts from linear algebra so that students acquire a thorough understanding of differential equations.

Author : John W. Dettman
Publisher : Courier Corporation
Page : 512 pages
File Size : 44,5 Mb
Release : 2012-05-07
Category : Mathematics
ISBN : 9780486158280

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Applied Complex Variables by John W. Dettman Pdf

Fundamentals of analytic function theory — plus lucid exposition of 5 important applications: potential theory, ordinary differential equations, Fourier transforms, Laplace transforms, and asymptotic expansions. Includes 66 figures.

Author : John W. Dettman
Publisher : Courier Corporation
Page : 450 pages
File Size : 49,5 Mb
Release : 2013-01-23
Category : Science
ISBN : 9780486169361

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Mathematical Methods in Physics and Engineering by John W. Dettman Pdf

Intended for college-level physics, engineering, or mathematics students, this volume offers an algebraically based approach to various topics in applied math. It is accessible to undergraduates with a good course in calculus which includes infinite series and uniform convergence. Exercises follow each chapter to test the student's grasp of the material; however, the author has also included exercises that extend the results to new situations and lay the groundwork for new concepts to be introduced later. A list of references for further reading will be found at the end of each chapter. For this second revised edition, Professor Dettman included a new section on generalized functions to help explain the use of the Dirac delta function in connection with Green's functions. In addition, a new approach to series solutions of ordinary differential equations has made the treatment independent of complex variable theory. This means that the first six chapters can be grasped without prior knowledge of complex variables. However, since Chapter 8 depends heavily on analytic functions of a complex variable, a new Chapter 7 on analytic function theory has been written.

Author : Bhui, Bikas Chandra & Chatterjee Dipak
Publisher : Vikas Publishing House
Page : 128 pages
File Size : 52,7 Mb
Release : 2024-05-19
Category : Electronic
ISBN : 9789352718832

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Mathematics-I Calculus and Linear Algebra (BSC-105) (For Computer Science & Engineering Students only) by Bhui, Bikas Chandra & Chatterjee Dipak Pdf

Mathematics-I for the paper BSC-105 of the latest AICTE syllabus has been written for the first semester engineering students of Indian universities. Paper BSC-105 is exclusively for CS&E students. Keeping in mind that the students are at the threshold of a completely new domain, the book has been planned with utmost care in the exposition of concepts, choice of illustrative examples, and also in sequencing of topics. The language is simple, yet accurate. A large number of worked-out problems have been included to familiarize the students with the techniques to solving them, and to instill confidence.Authors’ long experience of teaching various grades of students has helped in laying proper emphasis on various techniques of solving difficult problems.

Author : Anthony D. Osborne
Publisher : Addison Wesley
Page : 472 pages
File Size : 48,8 Mb
Release : 1999
Category : Mathematics
ISBN : UOM:39015047608891

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Complex Variables and Their Applications by Anthony D. Osborne Pdf

An understanding of functions of a complex variable, together with the importance of their applications, form an essential part of the study of mathematics. Complex Variables and their Applications assumes as little background knowledge of the reader as is practically possible, a sound knowledge of calculus and basic real analysis being the only essential pre-requisites. With an emphasis on clear and careful explanation, the book covers all the essential topics covered in a first course on Complex Variables, such as differentiation, integration and applications, Laurent series, residue theory and applications, and elementary conformal mappings. The reader is also introduced to the Schwarz-Christoffel transformation, Dirchlet problems, harmonic functions, analytic continuation, infinite products, asymptotic series and elliptic functions. Applications of complex variable theory to linear ordinary differential equations and integral transforms are also included. Complex Variables and their Applications is an ideal textbook and resource for second and final year students of mathematics, engineering and physics.

Author : Edward L. Ince
Publisher : Courier Corporation
Page : 580 pages
File Size : 47,9 Mb
Release : 1956-01-01
Category : Mathematics
ISBN : 9780486603490

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Ordinary Differential Equations by Edward L. Ince Pdf

Among the topics covered in this classic treatment are linear differential equations; solution in an infinite form; solution by definite integrals; algebraic theory; Sturmian theory and its later developments; further developments in the theory of boundary problems; existence theorems, equations of first order; nonlinear equations of higher order; more. "Highly recommended" — Electronics Industries.

Author : William Woolsey Johnson
Publisher : Unknown
Page : 392 pages
File Size : 54,7 Mb
Release : 1889
Category : Differential equations
ISBN : PRNC:32101044553558

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A Treatise on Ordinary and Partial Differential Equations by William Woolsey Johnson Pdf