This valuable book focuses on a collection of powerful methods of analysis that yield deep number-theoretical estimates. Particular attention is given to counting functions of prime numbers and multiplicative arithmetic functions. Both real variable ("elementary") and complex variable ("analytic") methods are employed. The reader is assumed to have knowledge of elementary number theory (abstract algebra will also do) and real and complex analysis. Specialized analytic techniques, including transform and Tauberian methods, are developed as needed.
This book is dedicated to problems involving colored objects, and to results about the existence of certain exciting and unexpected properties that occur regardless of how these objects are colored. In mathematics, these results comprise the beautiful area known as Ramsey Theory. Wolfram’s Math World defines Ramsey Theory as "the mathematical study of combinatorial objects in which a certain degree of order must occur as the scale of the object becomes large." Ramsey Theory thus includes parts of many fields of mathematics, including combinatorics, geometry, and number theory.
The Jazz Process: Collaboration, Innovation, and Agility
Build Software the Way Jazz Musicians Play Great Music! Experienced jazz musicians apply specific principles to collaborate, execute, and manage change in real time--delivering extraordinary innovation in the face of non-stop pressure and risk. Now, jazz musician and collaboration expert Adrian Cho shows how you can use the same principles to dramatically improve any team’s performance.
Universal Principles of Design is the first comprehensive, cross-disciplinary encyclopedia of design. Richly illustrated and easy to navigate, it pairs clear explanations of every design concept with visual examples of the concepts applied in practice. From the "80/20 rule to chunking, from baby-face bias to Ockham's razor, and from self-similarity to storytelling, every major design concept is defined and illustrated for readers to expand their knowledge.
Concepts from architects' minds evolve through sketches and as a mode of transference are conveyed to the finished building. This book compares qualities of sketches to reveal unique approaches to the instruments of thinking in which all architects engage. It provides new insight into the relationship between architectural sketches and the process of creative manipulation.
