### Mathematics

## Das mathematische und naturphilosophische Lernen und Arbeiten der Marquise du Châtelet (1706-1749)Die französische Marquise Émilie du Châtelet war zu ihren Lebzeiten eine weit über die Grenzen Frankreichs bekannte Mathematikerin und Naturphilosophin. Dies ist erstaunlich, da ihr und ihren Geschlechtsgenossinnen in der Epoche der Aufklärung der Zugang zu den höheren Bildungsinstitutionen verwehrt war. Das vorliegende Werk beschäftigt sich mit der Frage, welche Bildungszugänge zum mathematischen und naturwissenschaftlichen Wissen für du Châtelet bedeutsam waren. |

## Advanced Calculus: A Differential Forms ApproachIn a book written for mathematicians, teachers of mathematics, and highly motivated students, Harold Edwards has taken a bold and unusual approach to the presentation of advanced calculus. He begins with a lucid discussion of differential forms and quickly moves to the fundamental theorems of calculus and Stokes theorem. The result is genuine mathematics, both in spirit and content, and an exciting choice for an honors or graduate course or indeed for any mathematician in need of a refreshingly informal and flexible reintroduction to the subject. For all these potential readers, the author has made the approach work in the best tradition of creative mathematics. |

## Advanced Linear AlgebraDesigned for advanced undergraduate and beginning graduate students in linear or abstract algebra, Advanced Linear Algebra covers theoretical aspects of the subject, along with examples, computations, and proofs. It explores a variety of advanced topics in linear algebra that highlight the rich interconnections of the subject to geometry, algebra, analysis, combinatorics, numerical computation, and many other areas of mathematics. |

## Advanced Engineering Mathematics, 5th editionModern and comprehensive, the new Fifth Edition of Zill's Advanced Engineering Mathematics, Fifth Edition provides an in depth overview of the many mathematical topics required for students planning a career in engineering or the sciences. A key strength of this best-selling text is Zill's emphasis on differential equations as mathematical models, discussing the constructs and pitfalls of each. |

## A Passage to Abstract MathematicsPassage to Abstract Mathematics facilitates the transition from introductory mathematics courses to the more abstract work that occurs in advanced courses. This text covers logic, proofs, numbers, sets, induction, functions, and more–material which instructors of upper-level courses often presume their students have already mastered but are in fact missing from lower-level courses. Students will learn how to read and write mathematics–especially proofs–the way that mathematicians do. The text emphasizes the use of complete, correct definitions and mathematical syntax. |

## A Primer on Partial Least Squares Structural Equation Modeling (PLS-SEM)A Primer on Partial Least Squares Structural Equation Modeling (PLS-SEM), by Hair, Hult, Ringle, and Sarstedt, provides a concise yet very practical guide to understanding and using PLS structural equation modeling (PLS-SEM). PLS-SEM is evolving as a statistical modeling technique and its use has increased exponentially in recent years within a variety of disciplines, due to the recognition that PLS-SEM’s distinctive methodological features make it a viable alternative to the more popular covariance-based SEM approach. |

## A Probability Path (Modern Birkhäuser Classics)Many probability books are written by mathematicians and have the built-in bias that the reader is assumed to be a mathematician coming to the material for its beauty. This textbook is geared towards beginning graduate students from a variety of disciplines whose primary focus is not necessarily mathematics for its own sake. Instead, A Probability Path is designed for those requiring a deep understanding of advanced probability for their research in statistics, applied probability, biology, operations research, mathematical finance and engineering. |

## Abstract Algebra: An Introduction, 3 editionABSTRACT ALGEBRA: AN INTRODUCTION is intended for a first undergraduate course in modern abstract algebra. Its flexible design makes it suitable for courses of various lengths and different levels of mathematical sophistication, ranging from a traditional abstract algebra course to one with a more applied flavor. The book is organized around two themes: arithmetic and congruence. Each theme is developed first for the integers, then for polynomials, and finally for rings and groups, so students can see where many abstract concepts come from, why they are important, and how they relate to one another. |

## Combinatorial Number TheoryThese proceedings consist of several articles based on talks given at the "Integers Conference 2011" in the area of combinatorial number theory. They present a range of important and modern research topics in the areas of number, partition, combinatorial game, Ramsey, additive number, and multiplicative number theory. |