Editor
Lizhen Ji (University of Michigan, Ann Arbor)

Complex Geometry from Riemann to Kahler-Einstein and Calabi-Yau

Advanced Lectures in Mathematics, Volume 38
Published: 2 November 2018
Paperback
676 pages

Description

Complex geometry has been extensively studied and developed since the 19th century. This volume examines the subject from a global, historical perspective.
It begins with an essay on the historical development of complex geometry, with extensive quotations of experts past and present, followed by a discussion of Calabi?Yau manifolds, and a look at Shing-Tung Yau as a writer and mathematician. Next, it presents a series of selected papers, beginning with Bernhard Riemannfs thesis on the foundation of complex analysis, and his masterpiece on the foundations of geometry, followed by numerous seminal papers of modern practitioners: Atiyah, Bott, Chern, Calabi, Chow, Donaldson, Hirzebruch, Kahler, Kodaira, Siu, Uhlenbeck, and Yau.
The volume concludes with a set of commentaries written by Yau, from his personal perspective, on the broad subject of complex geometry and its applications; and finally with an extensive list of papers on complex geometry from the 20th and 21st centuries, categorized by topic.

This volume is part of the Advanced Lectures in Mathematics book series.

Table of Contents (PDF)

Editors
Lizhen Ji (Department of Mathematics, University of Michigan)
Athanase Papadopoulos (Institut de Recherche Mathematique Avancee, Universite de Strasbourg)
Shing-Tung Yau (Department of Mathematics, Harvard University)

Handbook of Group Actions, Volume III

Advanced Lectures in Mathematics, Volume 40
To Be Published: 30 November 2018
Paperback
566 pages

Description

Groups and group actions are probably the most central objects in mathematics.
Comprising volumes 31, 32, 40 and 41 of the ALM series, the Handbook of Group Actions presents survey articles on the topic of group actions and how they appear in several mathematical contexts. The general subject matter is organized under the following sections: geometry, mapping class groups, knot groups, topology, representation theory, deformation theory, and discrete groups.
The various articles deal with both classical material and modern developments. They are written by specialists in their respective subject areas, and addressed to graduate students who want to learn the theory, as well as to specialists as a reference.
This is the third volume of the Handbook of Group Actions.
This volume is sold both independently and as part of a volume set.
This volume is part of the Advanced Lectures in Mathematics book series.

Table of Contents (PDF)

Editors
Lizhen Ji (Department of Mathematics, University of Michigan)
Athanase Papadopoulos (Institut de Recherche Mathematique Avancee, Universite de Strasbourg)
Shing-Tung Yau (Department of Mathematics, Harvard University)

Handbook of Group Actions, Volume IV

Advanced Lectures in Mathematics, Volume 41
To Be Published: 30 November 2018
Paperback
778 pages

Description

Groups and group actions are probably the most central objects in mathematics.
Comprising volumes 31, 32, 40 and 41 of the ALM series, the Handbook of Group Actions presents survey articles on the topic of group actions and how they appear in several mathematical contexts. The general subject matter is organized under the following sections: geometry, mapping class groups, knot groups, topology, representation theory, deformation theory, and discrete groups.
The various articles deal with both classical material and modern developments. They are written by specialists in their respective subject areas, and addressed to graduate students who want to learn the theory, as well as to specialists as a reference.

This is the fourth volume of the Handbook of Group Actions.
This volume is sold both independently and as part of a volume set.
This volume is part of the Advanced Lectures in Mathematics book series.

Table of Contents (PDF)

Edited by Thomas Lin
Foreword by James Gleick

The Prime Number Conspiracy
The Biggest Ideas in Math from Quanta

Quanta Magazine's stories of mathematical explorations show that ginspiration strikes willy-nilly,h revealing surprising solutions and exciting discoveries.

Endorsement

Mathematics has rarely seemed as vibrant and alive?and as thrilling?as it does in these pages. When the best writers explain the best mathematics, it's a wonder to behold. These are stories of drama, passion, longing and inspiration. They're also a lot of fun to read.
Steven StrogatzCornell University and author of The Joy of x
Online Attention

Summary

Quanta Magazine's stories of mathematical explorations show that ginspiration strikes willy-nilly,h revealing surprising solutions and exciting discoveries.
These stories from Quanta Magazine map the routes of mathematical exploration, showing readers how cutting-edge research is done, while illuminating the productive tension between conjecture and proof, theory and intuition. The stories show that, as James Gleick puts it in the foreword, ginspiration strikes willy-nilly.h One researcher thinks of quantum chaotic systems at a bus stop; another suddenly realizes a path to proving a theorem of number theory while in a friend's backyard; a statistician has a gbathroom sink epiphanyh and discovers the key to solving the Gaussian correlation inequality. Readers of The Prime Number Conspiracy, says Quanta editor-in-chief Thomas Lin, are headed on gbreathtaking intellectual journeys to the bleeding edge of discovery strapped to the narrative rocket of humanity's never-ending pursuit of knowledge.h Quanta is the only popular publication that offers in-depth coverage of the latest breakthroughs in understanding our mathematical universe. It communicates mathematics by taking it seriously, wrestling with difficult concepts and clearly explaining them in a way that speaks to our innate curiosity about our world and ourselves. Readers of this volume will learn that prime numbers have decided preferences about the final digits of the primes that immediately follow them (the gconspiracyh of the title); consider whether math is the universal language of nature (allowing for ga unified theory of randomnessh); discover surprising solutions (including a pentagon tiling proof that solves a century-old math problem); ponder the limits of computation; measure infinity; and explore the eternal question gIs mathematics good for you?h

Series Volume Editors: Arni S. R. Srinivasa Rao C.R. Rao

Integrated Population Biology and Modeling Part B,
Handbook of Statistics , vol.40

Details
No. of pages: 420
Language: English
Copyright: c Elsevier 2019
Published: 1st February 2019
Hardcover ISBN: 9780444641526

Description

Integrated Population Biology and Modeling: Part B, Volume 40, offers very delicately complex and precise realities of quantifying modern and traditional methods of understanding populations and population dynamics, with this updated release focusing on Prey-predator animal models, Back projections, Evolutionary Biology computations, Population biology of collective behavior and bio patchiness, Collective behavior, Population biology through data science, Mathematical modeling of multi-species mutualism: new insights, remaining challenges and applications to ecology, Population Dynamics of Manipur, Stochastic Processes and Population Dynamics Models: The Mechanisms for Extinction, Persistence and Resonance, Theories of Stationary Populations and association with life lived and life left, and more.
Key Features
Studies human and animal models that are studied both separately and throughout chapters
Presents a comprehensive and timely update on integrated population biology
Readership
Graduate students to senior researchers in statistics and applied mathematicians who wish to refer to very rich and authentic collection in population models and their analytical solutions to their real-world applications. Research scientists and quantitative biologists would find it fascinatingly replicative information stored in this volume

Table of Contents

1. Prey-predator animal models
Erin Nicole Bodine
2. Back projections
Nicolas Brouard
3. Evolutionary Biology computations
Narayan Behera
4. Population biology of collective behavior and bio patchiness
Glenn Flierl
5. Collective behavior
Vishwesha Guttal
6. Population biology through data science
Daniel Linder
7. Mathematical modeling of multi-species mutualism: new insights, remaining challenges and applications to ecology"
Daniel Maxin
8. Population Dynamics of Manipur
Hemanta Meitei
9. Stochastic Processes and Population Dynamics Models: The Mechanisms for Extinction, Persistence and Resonance"
Anuj Mubayi
10. Theories of Stationary Populations and association with life lived and life left
Arni S.R. Srinivasa Rao
11. Detection of Quantitative Trait Loci from Genome-Wise Association Studies
David Spade
12. Entropy models
Shripad Tuljapurkar
13. Capture-recapture methods and models
Ruth King
14. Systems biology of cancer modeling
Vinay Varadan
15. Birth Interval Models in Demography
R. C. Yadava View more >