Obsolete Theorem
Obsolete Theorem

Author: Stan C Smith

Publisher:

Published: 2020-03-21

Total Pages: 288

ISBN-13:

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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!

A Conversational Introduction to Algebraic Number Theory
A Conversational Introduction to Algebraic Number Theory

Author: Paul Pollack

Publisher: American Mathematical Soc.

Published: 2017-08-01

Total Pages: 329

ISBN-13: 1470436531

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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.

Fermat’s Last Theorem for Amateurs
Fermat’s Last Theorem for Amateurs

Author: Paulo Ribenboim

Publisher: Springer Science & Business Media

Published: 2008-01-21

Total Pages: 418

ISBN-13: 0387216928

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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.

Introduction to Random Chaos
Introduction to Random Chaos

Author: Jerzy Szulga

Publisher: Taylor & Francis

Published: 2022-11-30

Total Pages: 306

ISBN-13: 1351436643

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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.

A History of Physics over the Last Two Centuries
A History of Physics over the Last Two Centuries

Author: Mario Gliozzi

Publisher: Cambridge Scholars Publishing

Published: 2022-03-22

Total Pages: 505

ISBN-13: 152758125X

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The book tells the fascinating story of physics starting from the 19th century, from the wave theory of light, thermodynamics, and electromagnetism, up to the discoveries of the 20th century. It investigates the frequently contrasting ideas and the raging arguments that led to our current understanding of the physical world, from the theory of relativity to quantum mechanics.

History of Economic Analysis
History of Economic Analysis

Author: Joseph A. Schumpeter

Publisher: Taylor & Francis

Published: 2006-03-07

Total Pages: 1309

ISBN-13: 1134838719

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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.

Probability and Stochastic Processes
Probability and Stochastic Processes

Author: Ionut Florescu

Publisher: John Wiley & Sons

Published: 2014-10-27

Total Pages: 578

ISBN-13: 0470624558

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A comprehensive and accessible presentation of probability and stochastic processes with emphasis on key theoretical concepts and real-world applications With a sophisticated approach, Probability and Stochastic Processes successfully balances theory and applications in a pedagogical and accessible format. The book’s primary focus is on key theoretical notions in probability to provide a foundation for understanding concepts and examples related to stochastic processes. Organized into two main sections, the book begins by developing probability theory with topical coverage on probability measure; random variables; integration theory; product spaces, conditional distribution, and conditional expectations; and limit theorems. The second part explores stochastic processes and related concepts including the Poisson process, renewal processes, Markov chains, semi-Markov processes, martingales, and Brownian motion. Featuring a logical combination of traditional and complex theories as well as practices, Probability and Stochastic Processes also includes: Multiple examples from disciplines such as business, mathematical finance, and engineering Chapter-by-chapter exercises and examples to allow readers to test their comprehension of the presented material A rigorous treatment of all probability and stochastic processes concepts An appropriate textbook for probability and stochastic processes courses at the upper-undergraduate and graduate level in mathematics, business, and electrical engineering, Probability and Stochastic Processes is also an ideal reference for researchers and practitioners in the fields of mathematics, engineering, and finance.

Introduction to Model Theory
Introduction to Model Theory

Author: Philipp Rothmaler

Publisher: CRC Press

Published: 2018-12-07

Total Pages: 324

ISBN-13: 0429668503

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Model theory investigates mathematical structures by means of formal languages. So-called first-order languages have proved particularly useful in this respect. This text introduces the model theory of first-order logic, avoiding syntactical issues not too relevant to model theory. In this spirit, the compactness theorem is proved via the algebraically useful ultrsproduct technique (rather than via the completeness theorem of first-order logic). This leads fairly quickly to algebraic applications, like Malcev's local theorems of group theory and, after a little more preparation, to Hilbert's Nullstellensatz of field theory. Steinitz dimension theory for field extensions is obtained as a special case of a much more general model-theoretic treatment of strongly minimal theories. There is a final chapter on the models of the first-order theory of the integers as an abelian group. Both these topics appear here for the first time in a textbook at the introductory level, and are used to give hints to further reading and to recent developments in the field, such as stability (or classification) theory.