A time jump. A fight for survival. A bond between species. It wasn't possible, but then it happened... A Neanderthal's 47,000-year-old remains are found in Spain. That's not unusual, but positioned beside the woman's skeleton is something that shouldn't be there-a robotic drone. Lincoln Woodhouse has some explaining to do. When confronted with the evidence, Lincoln cannot deny that the drone is one of his own models. After all, he routinely jumps his drones into the past to collect environmental data. The problem is, this drone shouldn't even exist in Lincoln's universe. Everyone knows sending a drone into the past creates an alternate timeline. The implications of the discovery are staggering, and Lincoln is ordered to jump back in time to investigate, even though no human has ever done so before. Upon jumping, he and his team find themselves in a world of deadly creatures and savage beings. Amidst the primeval chaos, Lincoln encounters Skyra, a woman unlike anyone he has ever known. She is a skilled hunter and vicious fighter. She is not human, but she just might hold the key to humanity's future. Obsolete Theorem, the first book in the new Across Horizons series, is perfect for readers who love time travel, deadly creatures, wilderness survival, and unforgettable characters. Scroll up and grab your copy today!

Gauss famously referred to mathematics as the “queen of the sciences” and to number theory as the “queen of mathematics”. This book is an introduction to algebraic number theory, meaning the study of arithmetic in finite extensions of the rational number field Q . Originating in the work of Gauss, the foundations of modern algebraic number theory are due to Dirichlet, Dedekind, Kronecker, Kummer, and others. This book lays out basic results, including the three “fundamental theorems”: unique factorization of ideals, finiteness of the class number, and Dirichlet's unit theorem. While these theorems are by now quite classical, both the text and the exercises allude frequently to more recent developments. In addition to traversing the main highways, the book reveals some remarkable vistas by exploring scenic side roads. Several topics appear that are not present in the usual introductory texts. One example is the inclusion of an extensive discussion of the theory of elasticity, which provides a precise way of measuring the failure of unique factorization. The book is based on the author's notes from a course delivered at the University of Georgia; pains have been taken to preserve the conversational style of the original lectures.

Introduction to Random Chaos contains a wealth of information on this significant area, rooted in hypercontraction and harmonic analysis. Random chaos statistics extend the classical concept of empirical mean and variance. By focusing on the three models of Rademacher, Poisson, and Wiener chaos, this book shows how an iteration of a simple random principle leads to a nonlinear probability model- unifying seemingly separate types of chaos into a network of theorems, procedures, and applications. The concepts and techniques connect diverse areas of probability, algebra, and analysis and enhance numerous links between many fields of science. Introduction to Random Chaos serves researchers and graduate students in probability, analysis, statistics, physics, and applicable areas of science and technology.

In 1995, Andrew Wiles completed a proof of Fermat's Last Theorem. Although this was certainly a great mathematical feat, one shouldn't dismiss earlier attempts made by mathematicians and clever amateurs to solve the problem. In this book, aimed at amateurs curious about the history of the subject, the author restricts his attention exclusively to elementary methods that have produced rich results.

This introduction to computational geometry focuses on algorithms. Motivation is provided from the application areas as all techniques are related to particular applications in robotics, graphics, CAD/CAM, and geographic information systems. Modern insights in computational geometry are used to provide solutions that are both efficient and easy to understand and implement.

The first systematic account of the basic theory of normed algebras, without assuming associativity. Sure to become a central resource.

At the time of his death in 1950, Joseph Schumpeter was working on his monumental History of Economic Analysis. Unprecedented in scope, the book was to provide a complete history of economic theory from Ancient Greece to the end of the second world war. A major contribution to the history of ideas as well as to economics, History of Economic Analysis rapidly gained a reputation as a unique and classic work. As well being an economist, Schumpeter was a gifted mathematician, historian, philosopher and psychologist and this is reflected in the multi-disciplinary nature of his great endeavour. Topics addressed include the techniques of economic analysis, contemporaneous developments in other sciences and the sociology of economics. This inclusiveness extends to the periods and individuals who figure in the book. As well as dealing with all of the major economists from Adam Smith to Maynard Keynes, the book considers the economic writings of Plato and Aristotle, of the Medieval Scholastics and of the major European economists. Throughout, Schumpeter perceived economics as a human science and this is reflected in a volume which is lucid and insightful throughout.

This first systematic account of the basic theory of normed algebras, without assuming associativity, includes many new and unpublished results and is sure to become a central resource for researchers and graduate students in the field. This first volume focuses on the non-associative generalizations of (associative) C*-algebras provided by the so-called non-associative Gelfand–Naimark and Vidav–Palmer theorems, which give rise to alternative C*-algebras and non-commutative JB*-algebras, respectively. The relationship between non-commutative JB*-algebras and JB*-triples is also fully discussed. The second volume covers Zel'manov's celebrated work in Jordan theory to derive classification theorems for non-commutative JB*-algebras and JB*-triples, as well as other topics. The book interweaves pure algebra, geometry of normed spaces, and complex analysis, and includes a wealth of historical comments, background material, examples and exercises. The authors also provide an extensive bibliography.

In this research monograph, the author's work on classification and related topics are presented. This revised edition brings the book up to date with the addition of four new chapters as well as various corrections to the 1978 text.The additional chapters X - XIII present the solution to countable first order T of what the author sees as the main test of the theory. In Chapter X the Dimensional Order Property is introduced and it is shown to be a meaningful dividing line for superstable theories. In Chapter XI there is a proof of the decomposition theorems. Chapter XII is the crux of the matter: there is proof that the negation of the assumption used in Chapter XI implies that in models of T a relation can be defined which orders a large subset of m