AMS/MAA Textbooks
Volume: 34; 2017; 243 pp; Softcover
Print ISBN: 978-1-93951-216-1
Teaching Statistics Using Baseball is a collection of case studies and exercises applying statistical and probabilistic thinking to the game of baseball. Baseball is the most statistical of all sports since players are identified and evaluated by their corresponding hitting and pitching statistics. There is an active effort by people in the baseball community to learn more about baseball performance and strategy by the use of statistics. This book illustrates basic methods of data analysis and probability models by means of baseball statistics collected on players and teams. Students often have difficulty learning statistics ideas since they are explained using examples that are foreign to the students. The idea of the book is to describe statistical thinking in a context (that is, baseball) that will be familiar and interesting to students.
The book is organized using a same structure as most introductory statistics texts. There are chapters on the analysis on a single batch of data, followed with chapters on comparing batches of data and relationships. There are chapters on probability models and on statistical inference. The book can be used as the framework for a one-semester introductory statistics class focused on baseball or sports. This type of class has been taught at Bowling Green State University. It may be very suitable for a statistics class for students with sports-related majors, such as sports management or sports medicine. Alternately, the book can be used as a resource for instructors who wish to infuse their present course in probability or statistics with applications from baseball.
The second edition of Teaching Statistics follows the same structure as the first edition, where the case studies and exercises have been replaced by modern players and teams, and the new types of baseball data from the PitchFX system and fangraphs.com are incorporated into the text.
Collected Works, Volume: 26;
2017; 489 pp; Hardcover
MSC: Primary 14; 20; 32; 58; 53;
Print ISBN: 978-1-4704-3656-8
In the period since the original four volumes of Phillip Griffiths's Selecta were published (Selected Works of Phillip A. Griffiths with Commentary, Parts 1?4, Collected Works, Volume 18), Griffiths has continued to produce beautiful and important work. The current two-part publication brings Griffiths's Selecta up to date by including the majority of his recent articles, as well as two older papers on differential geometry whose length had precluded their inclusion in the original Selecta.
The papers are organized along the three main topics, with Part 5 containing
papers on Differential Geometry and Hodge Theory and Part 6 containing
papers on Algebraic Cycles. In addition to his papers, Griffiths has been
an author of a number of research monographs. To give the reader an overview
of what these monographs contain, introductions to some of these are also
included
Graduate students and researchers interested in algebraic and differential geometry.
Collected Works Volume: 26
2017; 310 pp; Hardcover
MSC: Primary 14; 20; 32;
Print ISBN: 978-1-4704-3657-5
In the period since the original four volumes of Phillip Griffiths's Selecta were published (Selected Works of Phillip A. Griffiths with Commentary, Parts 1?4, Collected Works, Volume 18), Griffiths has continued to produce beautiful and important work. The current two-part publication brings Griffiths's Selecta up to date by including the majority of his recent articles, as well as two older papers on differential geometry whose length had precluded their inclusion in the original Selecta.
The papers are organized along the three main topics, with Part 6 containing papers on Algebraic Cycles and Part 5 containing papers on Differential Geometry and Hodge Theory. In addition to his papers, Griffiths has been an author of a number of research monographs. To give the reader an overview of what these monographs contain, introductions to some of these are also included.
Graduate students and researchers interested in algebraic and differential geometry.
CBMS Regional Conference Series in Mathematics
Volume: 125; 2017; 394 pp; Softcover
MSC: Primary 34; 35; 53; 58;
Print ISBN: 978-1-4704-1037-7
Eigenfunctions of the Laplacian of a Riemannian manifold can be described in terms of vibrating membranes as well as quantum energy eigenstates. This book is an introduction to both the local and global analysis of eigenfunctions. The local analysis of eigenfunctions pertains to the behavior of the eigenfunctions on wavelength scale balls. After re-scaling to a unit ball, the eigenfunctions resemble almost-harmonic functions. Global analysis refers to the use of wave equation methods to relate properties of eigenfunctions to properties of the geodesic flow.
The emphasis is on the global methods and the use of Fourier integral operator methods to analyze norms and nodal sets of eigenfunctions. A somewhat unusual topic is the analytic continuation of eigenfunctions to Grauert tubes in the real analytic case, and the study of nodal sets in the complex domain.
The book, which grew out of lectures given by the author at a CBMS conference in 2011, provides complete proofs of some model results, but more often it gives informal and intuitive explanations of proofs of fairly recent results. It conveys inter-related themes and results and offers an up-to-date comprehensive treatment of this important active area of research.
Graduate students and researchers interested in analysis related to spectral theory and eigenfunctions of Laplacians on Riemannian manifolds.
Contemporary Mathematics Volume: 701
2018; 232 pp; Softcover
MSC: Primary 11; 14;
Print ISBN: 978-1-4704-1991-2
This volume contains the proceedings of the Barcelona-Boston-Tokyo Number Theory Seminar, which was held in memory of Fumiyuki Momose, a distinguished number theorist from Chuo University in Tokyo.
Momose, who was a student of Yasutaka Ihara, made important contributions to the theory of Galois representations attached to modular forms, rational points on elliptic and modular curves, modularity of some families of Abelian varieties, and applications of arithmetic geometry to cryptography.
Papers contained in this volume cover these general themes in addition to discussing Momose's contributions as well as recent work and new results.
Graduatestudents and research mathematicians interested in number theory and arithmetic geometry.