This book introduces qualitative methods for understanding differential equations, especially when analytical solutions are not possible. Aimed at second-year undergraduate students in mathematics or science, it assumes prior knowledge of calculus...Loe edasi...
Matrix Fundamentals introduces tools for working with matrices, their applications, and their significance in the broader context of linear algebra. Assuming no previous exposure to matrices, the first four chapters provide a foundation a...Loe edasi...
This self-contained textbook, now in a thoroughly revised and expanded second edition, takes a matrix-oriented approach to Linear Algebra....Loe edasi...
This textbook provides mathematical tools and applies them to study key aspects of data transmission such as encryption and compression. Modern societies are awash with data that needs to be manipulated in many ways: encrypted, compressed, shared...Loe edasi...
This textbook provides an introduction to the mathematical methods used to analyse deterministic models in life sciences, including population dynamics, epidemiology and ecology. The book covers both discrete and continuous models.The prese...Loe edasi...
This textbook provides a second course in complex analysis with a focus on geometric aspects. It covers topics such as the spherical geometry of the extended complex plane, the hyperbolic geometry of the Poincaré disk, conformal mappings, the Rieman...Loe edasi...
This textbook provides an undergraduate introduction to Galois theory and its most notable applications. Galois theory was born in the 19th century to study polynomial equations....Loe edasi...
This text presents selected applications of discrete-time stochastic processes that involve random interactions and algorithms, and revolve around the Markov property. It covers recurrence properties of (excited) random walks, convergence and mixi...Loe edasi...
This introductory text is designed for undergraduate courses in number theory, covering both elementary number theory and analytic number theory. The book emphasises computational aspects, including algorithms and their implementation in Python....Loe edasi...
(Ilmumisaeg: 05-Jul-2024, Paperback / softback, Kirjastus: Springer-Verlag Berlin and Heidelberg GmbH & Co. K, ISBN-13: 9783662693643)
This textbook provides an introduction to group theory starting from the basics, relying on geometry to elucidate its various aspects.Groups naturally manifest as symmetries of geometric shapes, such as reflections and rotations. The book a...Loe edasi...
This textbook offers a hands-on introduction to general topology, a fundamental tool in mathematics and its applications. It provides solid foundations for further study in mathematics in general, and topology in particular.Aimed at undergr...Loe edasi...
The primary aim of this text is to help transition undergraduates to study graduate level mathematics. It unites real and complex analysis after developing the basic techniques and aims at a larger readership than that of similar textbooks that ha...Loe edasi...
This textbook introduces Python and its programming through a multitude of clearly presented examples and worked-out exercises.Based on a course taught to undergraduate students of mathematics, science, engineering and...Loe edasi...
This textbook serves as an introduction to modern differential geometry at a level accessible to advanced undergraduate and masters students. It places special emphasis on motivation and understanding, while developing a solid intuition for the m...Loe edasi...
This textbook offers an engaging account of the theory of ordinary differential equations intended for advanced undergraduate students of mathematics. Informed by the author’s extensive teaching experience, the book presents a series of carefull...Loe edasi...
This textbook provides a gentle overview of fundamental concepts related to one-variable calculus. The original approach is a result of the author’s forty years of experience in teaching the subject at universities around the world. In this book...Loe edasi...
This textbook presents the theory of Metric Spaces necessary for studying analysis beyond one real variable. Rich in examples, exercises and motivation, it provides a careful and clear exposition at a pace appropriate to the material....Loe edasi...
This undergraduate textbook provides an elegant introduction to the arithmetic of quadratic number fields, including many topics not usually covered in books at this level. Quadratic fields offer an introduction to algebraic number theory and some...Loe edasi...
Based on a course for third-year university students, the book contains numerous historical and mathematical exercises, offers extensive advice to the student on how to write essays, and can easily be used in whole or in part as a course in the hist...Loe edasi...