Ãdouard goursat (7 risultati)

Paperback. Condizione: New. Print on Demand. This book presents the author's mathematical research on the theories of functions and partial differential equations. The author begins by studying the theory of analytic functions and introduces several different methods for examining this theory. These methods were developed by Cauchy, Riemann, Weierstrass, and Mittag-Leffler. The author focuses on Cauchy's perspective, which has heavily influenced mathematics education in France, and explores the key ideas behind Cauchy's integral theorem. This profound work delves into singular points, uniform functions, and the concept of analytic continuation, providing valuable insights into the nature and behavior of functions. Throughout the book, the author's in-depth analysis and original contributions to the field of mathematics make this a valuable resource for researchers and scholars interested in the intricate world of functions and differential equations. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item.…

hardcover. Condizione: Good. volume II part II No dust jacket. Good hardcover with some shelfwear; may have previous owner's name inside. Standard-sized.

Paperback. Condizione: New. Print on Demand. This book delves into the fascinating world of functions of a complex variable, a concept that expanded the scope of algebra and analysis in the early 20th century. The author lays out the foundational principles of this field, building a bridge between the familiar world of real numbers and the more abstract realm of complex numbers. The book explores the concept of analytic functions, which behave in a predictably smooth manner, and contrasts them with multiple-valued functions that exhibit more complex behavior. Key concepts like the circle of convergence, a visual representation of the range of values for which a power series remains valid, are explored in detail. The author then delves into elementary transcendental functions, like the exponential and trigonometric functions, demonstrating how they can be extended to encompass complex variables. The book's exploration of these functions, and the discovery of their periodic nature, highlights the elegance and unexpected behavior that can arise when dealing with complex numbers. This book provides a solid foundation for understanding the intricacies of complex functions, a subject with far-reaching applications in diverse fields, from physics and engineering to pure mathematics. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item.…

Paperback. Condizione: New. Print on Demand. Embark on a journey into the world of mathematical analysis with this comprehensive guide, originally presented as a university course. The author's clear and concise explanations, coupled with numerous solved examples, make complex concepts accessible to students with a foundational understanding of calculus. Delving into the fundamental notions of analysis, such as limits, continuity, derivatives, and integrals, this book provides a rigorous yet elementary treatment of functions of real variables. It explores the intricacies of single and multivariable functions, delves into Taylor's series, and examines the applications of maxima and minima. Integral calculus takes center stage as definite and indefinite integrals are dissected, paving the way for the exploration of double and multiple integrals. The book concludes with a foray into infinite series and power series, offering valuable insights into their convergence and applications. Throughout, the author's emphasis on clarity and rigor ensures a solid understanding of the essential principles of mathematical analysis, empowering readers to tackle more advanced mathematical topics with confidence. Ultimately, this work serves as a testament to the profound beauty and interconnectedness of mathematical concepts, illuminating their significance in understanding the natural world. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item.…

Paperback. Condizione: New. Print on Demand. This book delves into the realm of complex variables, where numbers possess both magnitude and direction. Expanding upon the foundational work of Cauchy, the author meticulously constructs a framework for understanding these variables and their holomorphic functions. By introducing the concept of monogeneity, the author unveils the conditions under which these functions maintain continuity and differentiability. The book's focus on the connections between complex analysis and other mathematical disciplines shines through as the author demonstrates how the study of complex functions illuminates the behavior of functions in the real domain, showcasing the power and elegance of complex analysis. With intricate formulas and detailed explanations, this book illuminates the profound mathematical concepts that govern complex variables and their functions. It invites readers to delve into a realm where numbers transcend their familiar form, unlocking a deeper understanding of mathematical principles. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item.…

Paperback. Condizione: New. Print on Demand. This book explores the integral calculus, extending the techniques and ideas of differential calculus to a more advanced level. The integral calculus has widespread applications in science, engineering, and economics, and this book delves deeply into the concepts and techniques needed to master this essential mathematical tool. The author provides a rigorous treatment of the subject, introducing fundamental ideas such as the Riemann integral, the concept of the definite integral, and the concept of the indefinite integral. These concepts are developed gradually, with clear explanations and numerous examples. The book also explores the relationship between integration and differentiation, and shows how the two operations can be used together to solve a wide variety of problems. Overall, this book provides a comprehensive and in-depth exploration of the integral calculus, making it an invaluable resource for students and practitioners alike. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item.…

Paperback. Condizione: New. Print on Demand. This book introduces readers to some of the fundamentals of complex variable theory from a Cauchy-oriented perspective. Its in-depth analysis of monogenic functions (or analytic functions) provides a solid foundation for understanding the complex function theory. The author's clear and concise explanations make complex variable theory accessible to a wider audience, including those with a background in real analysis. The text covers essential topics like continuous functions, the concept of uniform convergence of series, and the calculus of monogenic functions, and provides numerous examples and exercises to illustrate the key ideas. By offering several different perspectives on complex variable theory, this book not only serves as an excellent introduction to the subject but also as a valuable reference for more advanced readers. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item.…