Mathematics Ii Calculus Ordinary Differential Equations And Complex Variable PDF Download
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| Author | : Bhui, Bikas Chandra & Chatterjee Dipak |
| Publisher | : Vikas Publishing House |
| Total Pages | : |
| Release | : |
| Genre | : |
| ISBN | : 9353381312 |
Download Mathematics-II (Calculus, Ordinary Differential Equations and Complex Variable) Book in PDF, ePub and Kindle
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 | : Luis Barreira |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 417 |
| Release | : 2012-04-23 |
| Genre | : Mathematics |
| ISBN | : 1447140087 |
Download Complex Analysis and Differential Equations Book in PDF, ePub and Kindle
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 | : Bhui, Bikas Chandra & Chatterjee Dipak |
| Publisher | : Vikas Publishing House |
| Total Pages | : |
| Release | : |
| Genre | : |
| ISBN | : 9352718836 |
Download Mathematics-I Calculus and Linear Algebra (BSC-105) (For Computer Science & Engineering Students only) Book in PDF, ePub and Kindle
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 | : Chin-Yuan Lin |
| Publisher | : World Scientific |
| Total Pages | : 555 |
| Release | : 2011 |
| Genre | : Mathematics |
| ISBN | : 9814307122 |
Download Theory and Examples of Ordinary Differential Equations Book in PDF, ePub and Kindle
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 |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 664 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 1461230241 |
Download Complex Variables Book in PDF, ePub and Kindle
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 | : John W. Dettman |
| Publisher | : Courier Corporation |
| Total Pages | : 450 |
| Release | : 2013-01-23 |
| Genre | : Science |
| ISBN | : 0486169367 |
Download Mathematical Methods in Physics and Engineering Book in PDF, ePub and Kindle
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 | : Einar Hille |
| Publisher | : Courier Corporation |
| Total Pages | : 514 |
| Release | : 1997-01-01 |
| Genre | : Mathematics |
| ISBN | : 9780486696201 |
Download Ordinary Differential Equations in the Complex Domain Book in PDF, ePub and Kindle
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 | : Stephen A. Wirkus |
| Publisher | : CRC Press |
| Total Pages | : 801 |
| Release | : 2014-12-15 |
| Genre | : Mathematics |
| ISBN | : 1466509104 |
Download A Course in Ordinary Differential Equations Book in PDF, ePub and Kindle
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 | : H. F. Weinberger |
| Publisher | : Courier Corporation |
| Total Pages | : 482 |
| Release | : 2012-04-20 |
| Genre | : Mathematics |
| ISBN | : 0486132048 |
Download A First Course in Partial Differential Equations Book in PDF, ePub and Kindle
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 | : So-chin Chen |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 396 |
| Release | : 2001 |
| Genre | : Mathematics |
| ISBN | : 9780821829615 |
Download Partial Differential Equations in Several Complex Variables Book in PDF, ePub and Kindle
This book is intended as both an introductory text and a reference book for those interested in studying several complex variables in the context of partial differential equations. In the last few decades, significant progress has been made in the study of Cauchy-Riemann and tangential Cauchy-Riemann operators; this progress greatly influenced the development of PDEs and several complex variables. After the background material in complex analysis is developed in Chapters 1 to 3, thenext three chapters are devoted to the solvability and regularity of the Cauchy-Riemann equations using Hilbert space techniques. The authors provide a systematic study of the Cauchy-Riemann equations and the \bar\partial-Neumann problem, including Hórmander's L2 existence progress on the globalregularity and irregularity of the \bar\partial-Neumann operators. The second part of the book gives a comprehensive study of the tangential Cauchy-Riemann equations, another important class of equations in several complex variables first studied by Lewy. An up-to-date account of the L2 theory for \bar\partial b operator is given. Explicit integral solution representations are constructed both on the Heisenberg groups and on strictly convex boundaries with estimates in Hölder and L2spaces. Embeddability of abstract CR structures is discussed in detail here for the first time.Titles in this series are co-published with International Press, Cambridge, MA.
