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Topics in Galois Theory (Research Notes in Mathematics, Volume 1) (Research Notes in Mathematics) by Jean-Pierre Serre
mathematics
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11-number-theory
Principles of Statistics
M.G. Bulmer - 1979
There are equally many advanced textbooks which delve into the far reaches of statistical theory, while bypassing practical applications. But between these two approaches is an unfilled gap, in which theory and practice merge at an intermediate level. Professor M. G. Bulmer's Principles of Statistics, originally published in 1965, was created to fill that need. The new, corrected Dover edition of Principles of Statistics makes this invaluable mid-level text available once again for the classroom or for self-study.Principles of Statistics was created primarily for the student of natural sciences, the social scientist, the undergraduate mathematics student, or anyone familiar with the basics of mathematical language. It assumes no previous knowledge of statistics or probability; nor is extensive mathematical knowledge necessary beyond a familiarity with the fundamentals of differential and integral calculus. (The calculus is used primarily for ease of notation; skill in the techniques of integration is not necessary in order to understand the text.)Professor Bulmer devotes the first chapters to a concise, admirably clear description of basic terminology and fundamental statistical theory: abstract concepts of probability and their applications in dice games, Mendelian heredity, etc.; definitions and examples of discrete and continuous random variables; multivariate distributions and the descriptive tools used to delineate them; expected values; etc. The book then moves quickly to more advanced levels, as Professor Bulmer describes important distributions (binomial, Poisson, exponential, normal, etc.), tests of significance, statistical inference, point estimation, regression, and correlation. Dozens of exercises and problems appear at the end of various chapters, with answers provided at the back of the book. Also included are a number of statistical tables and selected references.
BUNKER 1945 - The Last Ten Days of ADOLF HITLER
Christian Shakespeare - 2019
Twenty-two years later, he did. April 1945 – Berlin. The world had been at war for more than five-and-a-half years – approximately seventy million people were dead across the globe. The epicentre of the twelve-year-old Third Reich was now surrounded, enveloped by bitter Soviet forces hardened by Nazi barbarity in the east over the last four years. As the buildings were blasted into rubble, pounded by Russian guns and bombs, before their troops and tanks, Hitler was hunkered down in his last headquarters – the dark and damp bunker under the Reich Chancellery. As the Third Reich began to crumble as fast as the city’s buildings, what was the state of mind of the tyrant? Only his closest and fanatical allies saw the collapse, none more so than Hitler’s servants, Otto Gunsche and Heinz Linge – two individuals which witnessed the final act of their regime. An act tinged over the last ten days in late April with selfish betrayal, increasingly forlorn hope, pleas, desperation and eventually suicide. As the Soviets closed in with impending vigour, in the concrete tomb below ground and under the thunderous booms of the petrifying battle for Berlin, the mind of the dictator disintegrated into drugs, delusion and a determination to die. Not by the enemy bullet but one of his own. This is the story of the people who held a unique place in world history – the ones who were there when the nightmare of Nazism and the horrors which accompanied it was finally banished as a dark chapter in the story of the human race.
Using Econometrics: A Practical Guide
A.H. Studenmund - 1987
"Using Econometrics: A Practical Guide "provides readers with a practical introduction that combines single-equation linear regression analysis with real-world examples and exercises. This text also avoids complex matrix algebra and calculus, making it an ideal text for beginners. New problem sets and added support make "Using Econometrics" modern and easier to use.
Algebra - The Very Basics
Metin Bektas - 2014
This book picks you up at the very beginning and guides you through the foundations of algebra using lots of examples and no-nonsense explanations. Each chapter contains well-chosen exercises as well as all the solutions. No prior knowledge is required. Topics include: Exponents, Brackets, Linear Equations and Quadratic Equations. For a more detailed table of contents, use the "Look Inside" feature. From the author of "Great Formulas Explained" and "Physics! In Quantities and Examples".
Differential Equations with Applications and Historical Notes
George F. Simmons - 1972
Simmons advocates a careful approach to the subject, covering such topics as the wave equation, Gauss's hypergeometric function, the gamma function and the basic problems of the calculus of variations in an explanatory fashions - ensuring that students fully understand and appreciate the topics.
Schaum's Outline of Calculus
Frank Ayres Jr. - 1990
They'll also find the related analytic geometry much easier. The clear review of algebra and geometry in this edition will make calculus easier for students who wish to strengthen their knowledge in these areas. Updated to meet the emphasis in current courses, this new edition of a popular guide--more than 104,000 copies were bought of the prior edition--includes problems and examples using graphing calculators..
Algebra
Michael Artin - 1991
Linear algebra is tightly integrated into the text.
Linear Algebra
Georgi E. Shilov - 1971
Shilov, Professor of Mathematics at the Moscow State University, covers determinants, linear spaces, systems of linear equations, linear functions of a vector argument, coordinate transformations, the canonical form of the matrix of a linear operator, bilinear and quadratic forms, Euclidean spaces, unitary spaces, quadratic forms in Euclidean and unitary spaces, finite-dimensional algebras and their representations, with an appendix on categories of finite-dimensional spaces.The author begins with elementary material and goes easily into the advanced areas, covering all the standard topics of an advanced undergraduate or beginning graduate course. The material is presented in a consistently clear style. Problems are included, with a full section of hints and answers in the back.Keeping in mind the unity of algebra, geometry and analysis in his approach, and writing practically for the student who needs to learn techniques, Professor Shilov has produced one of the best expositions on the subject. Because it contains an abundance of problems and examples, the book will be useful for self-study as well as for the classroom.
Discrete Mathematical Structures with Applications to Computer Science
Jean-Paul Tremblay - 1975
A HYPNOTIST'S JOURNEY TO ATLANTIS: EYE WITNESS ACCOUNTS OF OUR ANCIENT HISTORY
SARAH Breskman Cosme - 2020
2022: What Will Happen to Us When the Anunnaki Return to Earth In 2022?
Jean-Maximillien De La Croix de Lafayette - 2013
The MOST IMPORTANT, INFORMATIVE AND EXPLOSIVE BOOK EVER WRITTEN ABOUT THE ANUNNAKI, THEIR WORLD, THEIR RETURN TO EARTH, AND PLAN FOR HUMANITY in:• 2,034 A.D. • 2,031-2,033 A.D. • 2,029 A.D. • 2,028 A.D. • 2,027-2,026 A.D. • 2,026 A.D. • 2,025 A.D. • 2,024 A.D. • 2,022-2023 A.D. • The author, Maximillien de Lafayette, have been so fortunate as to study with the Anunnaki Ulema who are the guardians of this knowledge in Egypt, Iraq, the islands of Arwad and Cyprus. This is the first time he is making use of this depot of knowledge about the Return of the Anunnaki to Planet Earth, and we are very lucky to have access to it. The subjects introduced in this book are explosive. Most important is the fact that it reveals the potential return of the Anunnaki in 2022, and the most frightening transformation that it would bring to the earth. If this is going to happen, a huge number of the people on earth, those grossly contaminated by Grays’ DNA, will be annihilated. You know who they are – the child murderers, the rapists, those who torture, those who abuse, the vicious politicians, the slaves of money and power, etc. Yes, we all know who they are. But the Anunnaki, who have no false sentimentality at all, will not tolerate even a medium level contamination. Unless they do their best to clean themselves during the grace period of the next 9 years, those of mid level contamination will also be destroyed. Those who would manage to clean themselves to a certain degree may possibly (but without any guarantee) be able to escape the burning, smoking earth through special portals, called Ba’abs. For those of us interested in the use of esoteric codes, they are here for you to learn. Each term will teach you how to use it for your benefit, how to apply it not only to your spiritual growth, but to your business, relationships, and daily life. You will learn how to interpret the codes in many ancient languages, how to build a physical amulet/code that will protect certain aspects of your life, and how to develop your psychic and extrasensory powers by simply using these codes. You will learn how the Anunnaki, our original creators, and how God fit into all this. Religion, true and false, will be explored. Jesus, who never really died on the Cross, will be shown as a historical figure, with his wife, Mary Magdalene, with whom he escaped to ancient Marseille. Who were Adam and Eve? Who was the Serpent? How do the gods of Sumer signify to us? The book is arranged in the time-honoured tradition of questions and answers.The return of the Anunnaki is not a new idea. It has been already announced in sacred scriptures, but of course interpreted differently. Some said Jesus is an Anunnaki, and he will return as a cosmic Messiah. A new school of religious thought in Iran suggests that Mohammed will return as a celestial being. And we should not to forget the Rapture and the Gnostics as well. But all of them have their origin in the Anunnaki texts, because these texts were written thousands of years before the Old Testament, the New Testament, and the Quran. The book will explore this topic and includes:• What Is Going To Happen To Organized Religions?• How Will The Human Mind Benefit From The Anunnaki Connection?.• What Will Happen To The Teachings Of Jesus, Moses, Mohammed, And Buddha, If The Anunnaki Demolish All Religions And Our Religious Beliefs Systems?• What Will Happen To The Vast Number
Coding the Matrix: Linear Algebra through Computer Science Applications
Philip N. Klein - 2013
Mathematical concepts and computational problems are motivated by applications in computer science. The reader learns by "doing," writing programs to implement the mathematical concepts and using them to carry out tasks and explore the applications. Examples include: error-correcting codes, transformations in graphics, face detection, encryption and secret-sharing, integer factoring, removing perspective from an image, PageRank (Google's ranking algorithm), and cancer detection from cell features. A companion web site, codingthematrix.com provides data and support code. Most of the assignments can be auto-graded online. Over two hundred illustrations, including a selection of relevant "xkcd" comics. Chapters: "The Function," "The Field," "The Vector," "The Vector Space," "The Matrix," "The Basis," "Dimension," "Gaussian Elimination," "The Inner Product," "Special Bases," "The Singular Value Decomposition," "The Eigenvector," "The Linear Program"
Book of Proof
Richard Hammack - 2009
It is a bridge from the computational courses (such as calculus or differential equations) that students typically encounter in their first year of college to a more abstract outlook. It lays a foundation for more theoretical courses such as topology, analysis and abstract algebra. Although it may be more meaningful to the student who has had some calculus, there is really no prerequisite other than a measure of mathematical maturity. Topics include sets, logic, counting, methods of conditional and non-conditional proof, disproof, induction, relations, functions and infinite cardinality.
My Brain is Open: The Mathematical Journeys of Paul Erdős
Bruce Schechter - 1998
Hungarian-born Erdős believed that the meaning of life was to prove and conjecture. His work in the United States and all over the world has earned him the titles of the century's leading number theorist and the most prolific mathematician who ever lived. Erdős's important work has proved pivotal to the development of computer science, and his unique personality makes him an unforgettable character in the world of mathematics. Incapable of the smallest of household tasks and having no permanent home or job, he was sustained by the generosity of colleagues and by his own belief in the beauty of numbers. Witty and filled with the sort of mathematical puzzles that intrigued Erdős and continue to fascinate mathematicians today, My Brain Is Open is the story of this strange genius and a journey in his footsteps through the world of mathematics, where universal truths await discovery like hidden treasures and where brilliant proofs are poetry.
Introduction to Topology
Bert Mendelson - 1975
It provides a simple, thorough survey of elementary topics, starting with set theory and advancing to metric and topological spaces, connectedness, and compactness. 1975 edition.