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Lectures on Probability Theory and Mathematical Statistics by Marco Taboga
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Ancient Greece: A Captivating Guide to Greek History Starting from the Greek Dark Ages to the End of Antiquity
Captivating History - 2018
The ancient Greeks gave birth to democracy, a political system frequently used and considered by some as the best form of government. Great minds from Greece also made incredible and vital discoveries such as the water mill, the basics of geometry and using medicine to cure illness. The ancient Greek philosophers laid the groundwork for a whole new field of thought and study. Ancient Greece offered the foundation of the Olympic games, which still run regularly today. Particularly famous historical figures such as Alexander the Great and Cleopatra also had ties to and roles during Greek history, through the course of wars and empire expansion. Given the influence of Ancient Greece, as you learn about this time and place, you will learn about your history and the origins of the people, places, and institutions you likely regularly studied in school. Starting in the Dark Ages, this book will take you on a captivating journey through the darkness, democracy, discovery, and development of Western Civilization. Some of the topics covered in this book include:
Dawn of the Dark Ages
From Darkness to Democracy
Olympic Origins
Greece Grows from War to War
The Fight for Democracy
The Peloponnesian War
Enter Alexander the Great
Great Minds of Ancient Greece
Roman Take-Over
Cleopatra and her Consorts
Hadrian’s Travels
Gothic Raids on Greece
Rise of Christianity
End of Antiquity
And much more!
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Linear Algebra and Its Applications [with CD-ROM]
David C. Lay - 1993
An Investigation of the Laws of Thought
George Boole - 1854
A timeless introduction to the field and a landmark in symbolic logic, showing that classical logic can be treated algebraically.
Calculus
Gilbert Strang - 1991
The author has a direct style. His book presents detailed and intensive explanations. Many diagrams and key examples are used to aid understanding, as well as the application of calculus to physics and engineering and economics. The text is well organized, and it covers single variable and multivariable calculus in depth. An instructor's manual and student guide are available online at http: //ocw.mit.edu/ans7870/resources/Strang/....
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.
Decoding the Ethics Code: A Practical Guide for Psychologists
Celia B. Fisher - 2003
The book helps psychologists apply the Ethics Code to the constantly changing scientific, professional, and legal realities of the discipline. Author Celia B. Fisher addresses the revised format, choice of wording, aspirational rationale, and enforceability of the code and puts these changes into practical perspective for psychologists. The book provides in-depth discussions of the foundation and application of each ethical standard to the broad spectrum of scientific, teaching, and professional roles of psychologists. This unique guide helps psychologists effectively use ethical principles and standards to morally conduct their work activities, avoid ethical violations, and, most importantly, preserve and protect the fundamental rights and welfare of those whom they serve.
Managerial Accounting: Tools for Business Decision Making
Jerry J. Weygandt - 1999
Aimed at accountants or readers of other career paths, this book helps them build their decision making skills and understand how to use accounting information to make quality business decisions.
Pattern Classification
David G. Stork - 1973
Now with the second edition, readers will find information on key new topics such as neural networks and statistical pattern recognition, the theory of machine learning, and the theory of invariances. Also included are worked examples, comparisons between different methods, extensive graphics, expanded exercises and computer project topics.An Instructor's Manual presenting detailed solutions to all the problems in the book is available from the Wiley editorial department.
Thomas' Calculus, Early Transcendentals, Media Upgrade
George B. Thomas Jr. - 2002
This book offers a full range of exercises, a precise and conceptual presentation, and a new media package designed specifically to meet the needs of today's readers. The exercises gradually increase in difficulty, helping readers learn to generalize and apply the concepts. The refined table of contents introduces the exponential, logarithmic, and trigonometric functions in Chapter 7 of the text.KEY TOPICS Functions, Limits and Continuity, Differentiation, Applications of Derivatives, Integration, Applications of Definite Integrals, Integrals and Transcendental Functions, Techniques of Integration, Further Applications of Integration, Conic Sections and Polar Coordinates, Infinite Sequences and Series, Vectors and the Geometry of Space, Vector-Valued Functions and Motion in Space, Partial Derivatives, Multiple Integrals, Integration in Vector Fields.MARKET For all readers interested in Calculus.
Pattern Recognition and Machine Learning
Christopher M. Bishop - 2006
However, these activities can be viewed as two facets of the same field, and together they have undergone substantial development over the past ten years. In particular, Bayesian methods have grown from a specialist niche to become mainstream, while graphical models have emerged as a general framework for describing and applying probabilistic models. Also, the practical applicability of Bayesian methods has been greatly enhanced through the development of a range of approximate inference algorithms such as variational Bayes and expectation propagation. Similarly, new models based on kernels have had a significant impact on both algorithms and applications. This new textbook reflects these recent developments while providing a comprehensive introduction to the fields of pattern recognition and machine learning. It is aimed at advanced undergraduates or first-year PhD students, as well as researchers and practitioners, and assumes no previous knowledge of pattern recognition or machine learning concepts. Knowledge of multivariate calculus and basic linear algebra is required, and some familiarity with probabilities would be helpful though not essential as the book includes a self-contained introduction to basic probability theory.
Classical Mechanics
Herbert Goldstein - 1950
KEY TOPICS: This classic book enables readers to make connections between classical and modern physics - an indispensable part of a physicist's education. In this new edition, Beams Medal winner Charles Poole and John Safko have updated the book to include the latest topics, applications, and notation, to reflect today's physics curriculum. They introduce readers to the increasingly important role that nonlinearities play in contemporary applications of classical mechanics. New numerical exercises help readers to develop skills in how to use computer techniques to solve problems in physics. Mathematical techniques are presented in detail so that the book remains fully accessible to readers who have not had an intermediate course in classical mechanics. MARKET: For college instructors and students.
A First Course in Abstract Algebra
John B. Fraleigh - 1967
Focused on groups, rings and fields, this text gives students a firm foundation for more specialized work by emphasizing an understanding of the nature of algebraic structures. KEY TOPICS: Sets and Relations; GROUPS AND SUBGROUPS; Introduction and Examples; Binary Operations; Isomorphic Binary Structures; Groups; Subgroups; Cyclic Groups; Generators and Cayley Digraphs; PERMUTATIONS, COSETS, AND DIRECT PRODUCTS; Groups of Permutations; Orbits, Cycles, and the Alternating Groups; Cosets and the Theorem of Lagrange; Direct Products and Finitely Generated Abelian Groups; Plane Isometries; HOMOMORPHISMS AND FACTOR GROUPS; Homomorphisms; Factor Groups; Factor-Group Computations and Simple Groups; Group Action on a Set; Applications of G-Sets to Counting; RINGS AND FIELDS; Rings and Fields; Integral Domains; Fermat's and Euler's Theorems; The Field of Quotients of an Integral Domain; Rings of Polynomials; Factorization of Polynomials over a Field; Noncommutative Examples; Ordered Rings and Fields; IDEALS AND FACTOR RINGS; Homomorphisms and Factor Rings; Prime and Maximal Ideas; Gr�bner Bases for Ideals; EXTENSION FIELDS; Introduction to Extension Fields; Vector Spaces; Algebraic Extensions; Geometric Constructions; Finite Fields; ADVANCED GROUP THEORY; Isomorphism Theorems; Series of Groups; Sylow Theorems; Applications of the Sylow Theory; Free Abelian Groups; Free Groups; Group Presentations; GROUPS IN TOPOLOGY; Simplicial Complexes and Homology Groups; Computations of Homology Groups; More Homology Computations and Applications; Homological Algebra; Factorization; Unique Factorization Domains; Euclidean Domains; Gaussian Integers and Multiplicative Norms; AUTOMORPHISMS AND GALOIS THEORY; Automorphisms of Fields; The Isomorphism Extension Theorem; Splitting Fields; Separable Extensions; Totally Inseparable Extensions; Galois Theory; Illustrations of Galois Theory; Cyclotomic Extensions; Insolvability of the Quintic; Matrix Algebra MARKET: For all readers interested in abstract algebra.
Guardian Angel: My Journey from Leftism to Sanity
Melanie Phillips - 2013
Beginning with her solitary childhood in London, it took years for Melanie Phillips to understand her parents’ emotional frailties and even longer to escape from them. But Phillips inherited her family’s strong Jewish values and a passionate commitment to freedom from oppression. It was this moral foundation that ultimately turned her against the warped and tyrannical attitudes of the Left, requiring her to break away not only from her parents—but also from the people she had seen as her wider political family. Through her poignant story of transformation and separation, we gain insight into the political uproar that has engulfed the West. Britain’s vote to leave the EU, the rise of far-Right political parties in Europe, and the stunning election of US president Donald Trump all involve a revolt against the elites by millions. It is these disdained masses who have been championed by Melanie Phillips in a career as prescient as it has been provocative. Guardian Angel is not only an affecting personal story, but it provides a vital explanation why the West is at a critical crossroads today. “Melanie Phillips has been one of the brave and necessary voices of our time, unafraid to speak the language of moral responsibility in an age of obfuscation and denial. This searing account of her personal journey is compelling testimony to her courage in speaking truth to power.”—Rabbi Lord Jonathan Sacks
Machine Learning Yearning
Andrew Ng
But building a machine learning system requires that you make practical decisions: Should you collect more training data? Should you use end-to-end deep learning? How do you deal with your training set not matching your test set? and many more. Historically, the only way to learn how to make these "strategy" decisions has been a multi-year apprenticeship in a graduate program or company. This is a book to help you quickly gain this skill, so that you can become better at building AI systems.
The Shape of a Life: One Mathematician's Search for the Universe's Hidden Geometry
Shing-Tung Yau - 2019
“An unexpectedly intimate look into a highly accomplished man, his colleagues and friends, the development of a new field of geometric analysis, and a glimpse into a truly uncommon mind.”—Nina MacLaughlin,
Boston Globe
“Engaging, eminently readable . . . For those with a taste for elegant and largely jargon-free explanations of mathematics, The Shape of a Life promises hours of rewarding reading.”—Judith Goodstein, American Scientist Harvard geometer and Fields medalist Shing-Tung Yau has provided a mathematical foundation for string theory, offered new insights into black holes, and mathematically demonstrated the stability of our universe. In this autobiography, Yau reflects on his improbable journey to becoming one of the world’s most distinguished mathematicians. Beginning with an impoverished childhood in China and Hong Kong, Yau takes readers through his doctoral studies at Berkeley during the height of the Vietnam War protests, his Fields Medal–winning proof of the Calabi conjecture, his return to China, and his pioneering work in geometric analysis. This new branch of geometry, which Yau built up with his friends and colleagues, has paved the way for solutions to several important and previously intransigent problems. With complicated ideas explained for a broad audience, this book offers readers not only insights into the life of an eminent mathematician, but also an accessible way to understand advanced and highly abstract concepts in mathematics and theoretical physics.