@article{1453479,
      note = {Includes index.},
      author = {Magnus, Robert,},
      url = {http://library.usi.edu/record/1453479},
      title = {Essential ordinary differential equations /},
      abstract = {This textbook offers an engaging account of the theory of  ordinary differential equations intended for advanced  undergraduate students of mathematics. Informed by the  authors extensive teaching experience, the book presents a  series of carefully selected topics that, taken together,  cover an essential body of knowledge in the field. Each  topic is treated rigorously and in depth. The book begins  with a thorough treatment of linear differential equations,  including general boundary conditions and Greens functions.  The next chapters cover separable equations and other  problems solvable by quadratures, series solutions of  linear equations and matrix exponentials, culminating in  SturmLiouville theory, an indispensable tool for partial  differential equations and mathematical physics. The  theoretical underpinnings of the material, namely, the  existence and uniqueness of solutions and dependence on  initial values, are treated at length. A noteworthy feature  of this book is the inclusion of project sections, which go  beyond the main text by introducing important further  topics, guiding the student by alternating exercises and  explanations. Designed to serve as the basis for a course  for upper undergraduate students, the prerequisites for  this book are a rigorous grounding in analysis (real and  complex), multivariate calculus and linear algebra. Some  familiarity with metric spaces is also helpful. The  numerous exercises of the text provide ample opportunities  for practice, and the aforementioned projects can be used  for guided study. Some exercises have hints to help make  the book suitable for independent study.},
      doi = {https://doi.org/10.1007/978-3-031-11531-8},
      recid = {1453479},
      pages = {1 online resource (xi, 283 pages) :},
}