Mathematics-II (Calculus, Ordinary Differential Equations and Complex Variable)

Mathematics-II (Calculus, Ordinary Differential Equations and Complex Variable)
Author: Bhui, Bikas Chandra & Chatterjee Dipak
Publisher: Vikas Publishing House
Total Pages: 496
Release:
Genre:
ISBN: 9353381312

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.

Applied Complex Variables

Applied Complex Variables
Author: John W. Dettman
Publisher: Courier Corporation
Total Pages: 514
Release: 2012-05-07
Genre: Mathematics
ISBN: 0486158284

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.

Mathematics-I Calculus and Linear Algebra (BSC-105) (For Computer Science & Engineering Students only)

Mathematics-I Calculus and Linear Algebra (BSC-105) (For Computer Science & Engineering Students only)
Author: Bhui, Bikas Chandra & Chatterjee Dipak
Publisher: Vikas Publishing House
Total Pages: 480
Release:
Genre:
ISBN: 9352718836

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.

Complex Analysis and Differential Equations

Complex Analysis and Differential Equations
Author: Luis Barreira
Publisher: Springer Science & Business Media
Total Pages: 417
Release: 2012-04-23
Genre: Mathematics
ISBN: 1447140087

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.

Theory and Examples of Ordinary Differential Equations

Theory and Examples of Ordinary Differential Equations
Author: Chin-Yuan Lin
Publisher: World Scientific
Total Pages: 555
Release: 2011
Genre: Mathematics
ISBN: 9814307122

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.

Notes on Diffy Qs

Notes on Diffy Qs
Author: Jiri Lebl
Publisher:
Total Pages: 468
Release: 2019-11-13
Genre:
ISBN: 9781706230236

Version 6.0. An introductory course on differential equations aimed at engineers. The book covers first order ODEs, higher order linear ODEs, systems of ODEs, Fourier series and PDEs, eigenvalue problems, the Laplace transform, and power series methods. It has a detailed appendix on linear algebra. The book was developed and used to teach Math 286/285 at the University of Illinois at Urbana-Champaign, and in the decade since, it has been used in many classrooms, ranging from small community colleges to large public research universities. See https: //www.jirka.org/diffyqs/ for more information, updates, errata, and a list of classroom adoptions.

Ordinary Differential Equations

Ordinary Differential Equations
Author: Morris Tenenbaum
Publisher: Courier Corporation
Total Pages: 852
Release: 1985-10-01
Genre: Mathematics
ISBN: 0486649407

Skillfully organized introductory text examines origin of differential equations, then defines basic terms and outlines the general solution of a differential equation. Subsequent sections deal with integrating factors; dilution and accretion problems; linearization of first order systems; Laplace Transforms; Newton's Interpolation Formulas, more.

Multivariable Calculus, Linear Algebra, and Differential Equations

Multivariable Calculus, Linear Algebra, and Differential Equations
Author: Stanley I. Grossman
Publisher: Academic Press
Total Pages: 993
Release: 2014-05-10
Genre: Mathematics
ISBN: 1483218031

Multivariable Calculus, Linear Algebra, and Differential Equations, Second Edition contains a comprehensive coverage of the study of advanced calculus, linear algebra, and differential equations for sophomore college students. The text includes a large number of examples, exercises, cases, and applications for students to learn calculus well. Also included is the history and development of calculus. The book is divided into five parts. The first part includes multivariable calculus material. The second part is an introduction to linear algebra. The third part of the book combines techniques from calculus and linear algebra and contains discussions of some of the most elegant results in calculus including Taylor's theorem in "n" variables, the multivariable mean value theorem, and the implicit function theorem. The fourth section contains detailed discussions of first-order and linear second-order equations. Also included are optional discussions of electric circuits and vibratory motion. The final section discusses Taylor's theorem, sequences, and series. The book is intended for sophomore college students of advanced calculus.

Introduction to Partial Differential Equations with Applications

Introduction to Partial Differential Equations with Applications
Author: E. C. Zachmanoglou
Publisher: Courier Corporation
Total Pages: 434
Release: 2012-04-20
Genre: Mathematics
ISBN: 048613217X

This text explores the essentials of partial differential equations as applied to engineering and the physical sciences. Discusses ordinary differential equations, integral curves and surfaces of vector fields, the Cauchy-Kovalevsky theory, more. Problems and answers.