
Function Theory and ℓ^{p} Spaces
2020Raymond Cheng
The classical ℓp sequence spaces have been a mainstay in Banach spaces. This book reviews some of the foundational results in this area (the basic inequalities, duality, convexity, geometry) as well as connects them to the function theory (boundary growth conditions, zero sets, extremal functions, multipliers, operator theory) of the associated spaces ℓpA of analytic functions whose Taylor coefficients belong to ℓp. Relations between the Banach space ℓp and its associated function space are uncovered using tools from Banach space geometry, including BirkhoffJames orthogonality and the resulting Pythagorean inequalities. The authors survey the literature on all of this material, including a discussion of the multipliers of ℓpA and a discussion of the Wiener algebra ℓ1A.
Except for some basic measure theory, functional analysis, and complex analysis, which the reader is expected to know, the material in this book is selfcontained and detailed proofs of nearly all the results are given. Each chapter concludes with some end notes that give proper references, historical background, and avenues for further exploration.

Rays, Waves, and Scattering: Topics in Classical Mathematical Physics
2017John A. Adam
This oneofakind book presents many of the mathematical concepts, structures, and techniques used in the study of rays, waves, and scattering. Panoramic in scope, it includes discussions of how ocean waves are refracted around islands and underwater ridges, how seismic waves are refracted in the earth's interior, how atmospheric waves are scattered by mountains and ridges, how the scattering of light waves produces the blue sky, and meteorological phenomena such as rainbows and coronas.
Rays, Waves, and Scattering is a valuable resource for practitioners, graduate students, and advanced undergraduates in applied mathematics, theoretical physics, and engineering. Bridging the gap between advanced treatments of the subject written for specialists and less mathematical books aimed at beginners, this unique mathematical compendium features problems and exercises throughout that are geared to various levels of sophistication, covering everything from Ptolemy's theorem to Airy integrals (as well as more technical material), and several informative appendixes. ... [Amazon.com

X and the City: Modeling Aspects of Urban Life
2012John A. Adam
X and the City, a book of diverse and accessible mathbased topics, uses basic modeling to explore a wide range of entertaining questions about urban life. How do you estimate the number of dental or doctor's offices, gas stations, restaurants, or movie theaters in a city of a given size? How can mathematics be used to maximize traffic flow through tunnels? Can you predict whether a traffic light will stay green long enough for you to cross the intersection? And what is the likelihood that your city will be hit by an asteroid?… [From Amazon.com]

A Mathematical Nature Walk
2009John A. Adam
How heavy is that cloud? Why can you see farther in rain than in fog? Why are the droplets on that spider web spaced apart so evenly? If you have ever asked questions like these while outdoors, and wondered how you might figure out the answers, this is a book for you. An entertaining and informative collection of fascinating puzzles from the natural world around us, A Mathematical Nature Walk will delight anyone who loves nature or math or both… [From Amazon.com]

Guesstimation: Solving the World's Problems on the Back of a Cocktail Napkin
2008Lawrence Weinstein and John A. Adam
Guesstimation is a book that unlocks the power of approximationit's popular mathematics rounded to the nearest power of ten! The ability to estimate is an important skill in daily life. More and more leading businesses today use estimation questions in interviews to test applicants' abilities to think on their feet. Guesstimation enables anyone with basic math and science skills to estimate virtually anythingquicklyusing plausible assumptions and elementary arithmetic... [From Amazon.com]

Mathematics in Nature: Modeling Patterns in the Natural World
2003John A. Adam
From rainbows, river meanders, and shadows to spider webs, honeycombs, and the markings on animal coats, the visible world is full of patterns that can be described mathematically. Examining such readily observable phenomena, this book introduces readers to the beauty of nature as revealed by mathematics and the beauty of mathematics as revealed in nature. [From the Publisher]

Survey of Models for TumorImmune System Dynamics
1997John A. Adam and Nicola Bellomo
An enormous amount of human effort and economic resources has been directed in this century to the fight against cancer. The purpose, of course, has been to find strategies to overcome this hard, challenging and seemingly endless struggle. We can readily imagine that even greater efforts will be required in the next century. The hope is that ultimately humanity will be successful; success will have been achieved when it is possible to activate and control the immune system in its competition against neoplastic cells. Dealing with the abovementioned problem requires the fullest possible cooperation among scientists working in different fields: biology, immunology, medicine, physics and, we believe, mathematics. Certainly, biologists and immunologists will make the greatest contribution to the research. However, it is now increasingly recognized that mathematics and computer science may well able to make major contributions to such problems. We cannot expect mathematicians alone to solve fundamental problems in immunology and (in particular) cancer research, but valuable support, however modest, can be provided by mathematicians to the research aspirations of biologists and immunologists working in this field. [Amazon.com]
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