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Textbooks for College and Above
Textbooks is a catch-all term used here for any type of book that is specifically designed for education. The category includes teacher guides, workbooks, activity guides, unit studies, and traditional classroom textbooks.
"The outlook of the second edition is the same as that of the original: to present linear algebra as the theory and practice of linear equations and linear mappings. Where it aids understandings and calculations, I don't hesitate to describe vectors as arrays of numbers and describe mappings as matrices."—by the author, from the Preface
Undergraduate Texts in Mathematics: Linearity, Symmetry, and Prediction in the Hydrogen Atom (Hardback)
"This user-friendly exposition, driven by numerous examples and exercises, requires a solid background in calculus and familiarity with either linear algebra or advanced quantum mechanics. ... [It] will benefit students in mathematics, physics and chemistry, as well as a literate general readership." — From the back cover
"When applying the Laplace transform, it is important to have a good understanding of the theory underlying it, rather than just a cursory knowledge of its application. This text provides that understanding." — From the back cover
"This book introduces the theory of modular forms with an eye toward the Modularity Theorem: All rational elliptic curves arise from modular forms." — From the back cover
"Excursions in Classical Analysis introduces students to advanced problem solving and undergraduate research in two ways: it provides a tour of classical analysis, showcasing a wide variety of problems that re placed in historical context, and it helps students gain mastery of mathematical discovery and proof." — From the back cover
"Graph theory meets number theory in this stimulating book." — From the back cover
"Graph theory is a flourishing discipline containing a body of beautiful and powerful theorems of wide applicability. Its explosive growth in recent years is mainly due to its role as an essential structure underpinning modern applied mathematics—computer science, combinatorial optimization, and operations research in particular—but also to its increasing application in the more applied sciences. The versatility of graphs makes them indispensable tools in the design and analysis of communication networks, for instance." — From the back cover
"This is an introductory treatment of infinite series of real numbers, bringing the reader from basic definitions and tests to advanced results. An up-to-date presentation is given, making infinite series accessible, interesting, and useful to a wide audience, including students, teachers, and researchers." — From the back cover
"This book is an up-to-date account for researchers, and its pedagogical style makes it suitable for advanced undergraduate and graduate courses in mathematical physics." — From the back cover
"This book is aimed at researchers in neural computing as well as those wishing to apply neural networks to practical applications. It is also intended to be used as the primary text for a graduate-level, or advanced undergraduate-level course on neural networks. In this case the book should be used sequentially, and care has been taken to ensure that where possible the material in any particular chapter depends only on concepts developed in earlier chapters." — From the Preface (page x)
This text is based on courses taught to undergraduate and graduate students, but can also be used for self-study by biologists, chemists, physicists, astronomers, engineers and geoscientists.
"Modern nonparametric statistics comprises a broad range of methods for data analysis. ... This book presents a wide array of nonparametric methods that researchers will find useful in analyzing their data. It is appropriate for advanced undergraduates and beginning graduate students in the fields such as the life sciences, engineering, medicine, social sciences, and statistics." — From the Preface
This book is divided into two parts: the first is purely algebraic, while the second uses "analytic" methods (holomorphic functions).
"This book would be suitable for a graduate course in Hamiltonian systems." — From the back cover