Applied Mathematics 2 By Begashaw Moltot !!TOP!!
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Applied Mathematics 2 by Begashaw Moltot: A Review
Applied Mathematics 2 by Begashaw Moltot is a book that covers various topics in mathematics such as differential equations, Laplace transforms, Fourier series, complex analysis, and vector calculus. The book is intended for students of engineering and science who have completed a course in calculus. The book aims to provide a clear and concise exposition of the concepts and methods of applied mathematics, with numerous examples and exercises to reinforce the learning process.
The book is divided into five chapters, each focusing on a different topic. The first chapter deals with ordinary differential equations of first and second order, including linear and nonlinear equations, homogeneous and nonhomogeneous equations, initial value problems, boundary value problems, and applications. The second chapter introduces the Laplace transform and its properties, as well as its use in solving differential equations and systems of differential equations. The third chapter covers the Fourier series and its applications in solving boundary value problems involving heat conduction, wave propagation, and vibration. The fourth chapter explores the complex analysis of functions of a complex variable, including analytic functions, Cauchy-Riemann equations, harmonic functions, contour integration, Cauchy's theorem, Cauchy's integral formula, Taylor series, Laurent series, residue theorem, and conformal mapping. The fifth chapter discusses the vector calculus of functions of several variables, including partial derivatives, gradient, divergence, curl, directional derivatives, chain rule, multiple integrals, line integrals, surface integrals, Green's theorem, Stokes' theorem, and divergence theorem.
The book is well-written and organized, with clear definitions, theorems, proofs, examples, and exercises. The book also provides some historical notes and biographical sketches of some famous mathematicians who contributed to the development of applied mathematics. The book is suitable for self-study or as a textbook for a course in applied mathematics. The book can be downloaded as a PDF file from Scribd[^1^] [^2^] or purchased as a hard copy from various online stores.Some of the advantages of studying applied mathematics are that it helps to develop logical thinking, problem-solving skills, and mathematical modeling abilities. It also enables students to apply mathematical concepts and methods to various real-world situations and phenomena, such as engineering, physics, chemistry, biology, economics, and social sciences. Applied mathematics can also serve as a foundation for further studies in pure mathematics or other disciplines.
Some of the challenges of studying applied mathematics are that it requires a solid background in calculus and linear algebra, as well as familiarity with some specialized topics and techniques. It also demands a high level of abstraction, rigor, and creativity, as well as the ability to handle complex and lengthy calculations. Moreover, applied mathematics is constantly evolving and expanding, so students need to keep up with the latest developments and trends in the field.
Overall, Applied Mathematics 2 by Begashaw Moltot is a useful and comprehensive book that covers many important topics in applied mathematics. It is suitable for anyone who wants to learn more about the theory and applications of differential equations, Laplace transforms, Fourier series, complex analysis, and vector calculus. The book is also a valuable resource for teachers and instructors who want to design and deliver courses in applied mathematics. 9160f4acd4
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