Book picks similar to
Complex Semisimple Lie Algebras by Jean-Pierre Serre
mathematics
m-rep
partially-read
representation
Game Theory
Drew Fudenberg - 1991
The analytic material is accompanied by many applications, examples, and exercises. The theory of noncooperative games studies the behavior of agents in any situation where each agent's optimal choice may depend on a forecast of the opponents' choices. "Noncooperative" refers to choices that are based on the participant's perceived selfinterest. Although game theory has been applied to many fields, Fudenberg and Tirole focus on the kinds of game theory that have been most useful in the study of economic problems. They also include some applications to political science. The fourteen chapters are grouped in parts that cover static games of complete information, dynamic games of complete information, static games of incomplete information, dynamic games of incomplete information, and advanced topics.--mitpress.mit.edu
Thermodynamics
Enrico Fermi - 1956
Based on a course of lectures delivered by the author at Columbia University, the text is elementary in treatment and remarkable for its clarity and organization. Although it is assumed that the reader is familiar with the fundamental facts of thermometry and calorimetry, no advanced mathematics beyond calculus is assumed.Partial contents: thermodynamic systems, the first law of thermodynamics (application, adiabatic transformations), the second law of thermodynamics (Carnot cycle, absolute thermodynamic temperature, thermal engines), the entropy (properties of cycles, entropy of a system whose states can be represented on a (V, p) diagram, Clapeyron and Van der Waals equations), thermodynamic potentials (free energy, thermodynamic potential at constant pressure, the phase rule, thermodynamics of the reversible electric cell), gaseous reactions (chemical equilibria in gases, Van't Hoff reaction box, another proof of the equation of gaseous equilibria, principle of Le Chatelier), the thermodynamics of dilute solutions (osmotic pressure, chemical equilibria in solutions, the distribution of a solute between 2 phases vapor pressure, boiling and freezing points), the entropy constant (Nernst's theorem, thermal ionization of a gas, thermionic effect, etc.).
Elementary Differential Equations And Boundary Value Problems
William E. Boyce - 1996
Clear explanations are detailed with many current examples.
The Entrepreneur Equation: Evaluating the Realities, Risks, and Rewards of Having Your Own Business
Carol Roth - 2011
By understanding what it takes to build a valuable business as well as how to assess the risks and rewards of business ownership based on your personal circumstances, you can learn how to stack the odds of success in your favor and ultimately decide if business ownership is the best possible path for you, now or ever.Through illustrative examples and personalized exercises, tell-it-like-it-is Carol Roth helps you create and evaluate your own personal Entrepreneur Equation as you:-Learn what it takes to be a successful entrepreneur in today's competitive environment.-Save money, time and effort by avoiding business ownership when the time isn't right for you.-Identify and evaluate the risks and rewards of a new business based on your goals and circumstances.-Evaluate whether your dreams are best served by a hobby, job or business.-Gain the tools that you need to maximize your business success.The Entrepreneur Equation is essential reading for the aspiring entrepreneur. Before you invest your life savings, invest in this book!
In the Wonderland of Numbers: Maths and Your Child
Shakuntala Devi - 2006
The specialities of each individual number, from zero to nine, and the little mathematical tricks as shown by Shakuntala Devi, all combine to make the reader learn to befriend numbers and excel at maths.
Classical Mechanics
John R. Taylor - 2003
John Taylor has brought to his new book, Classical Mechanics, all of the clarity and insight that made his introduction to Error Analysis a best-selling text.
Social Psychology and Human Nature
Brad J. Bushman - 2006
This social world is filled with paradox, mystery, suspense, and outright absurdity. Explore how social psychology can help you make sense of your own social world with this engaging and accessible book. Roy F. Baumeister and Brad J. Bushman's SOCIAL PSYCHOLOGY AND HUMAN NATURE can help you make sense of the always fascinating and sometimes bizarre and baffling diversity of human behavior-and it's also just plain interesting to learn about how and why people act the way they do.
Computational Complexity
Christos H. Papadimitriou - 1993
It offers a comprehensive and accessible treatment of the theory of algorithms and complexity—the elegant body of concepts and methods developed by computer scientists over the past 30 years for studying the performance and limitations of computer algorithms. The book is self-contained in that it develops all necessary mathematical prerequisites from such diverse fields such as computability, logic, number theory and probability.
Thermodynamics and an Introduction to Thermostatistics
Herbert B. Callen - 1985
Presents essential ideas on critical phenomena developed over the last decade in simple, qualitative terms. This new edition maintains the simple structure of the first and puts new emphasis on pedagogical considerations. Thermostatistics is incorporated into the text without eclipsing macroscopic thermodynamics, and is integrated into the conceptual framework of physical theory.
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.
Imagining the Tenth Dimension: A New Way of Thinking about Time and Space
Rob Bryanton - 2006
Ten dimensions? Most of us have barely gotten used to the idea that there are four.Using simple geometry and an easygoing writing style, author Rob Bryanton starts with the lower dimensions that we are all familiar with, then uses those concepts to build one layer upon another, ultimately arriving at a way of imagining the tenth dimension.Part scientific exploration, part philosophy, this unique book touches upon such diverse topics as dark matter, Feynman's "sum over paths", the quantum observer, and the soul. It is aimed at anyone interested in leading-edge theories about cosmology and the nature of reality, but it is not about mainstream physics. Rather, Imagining the Tenth Dimension is a mind-expanding exercise that could change the way you view this incredible universe in which we live.
Respiratory Physiology: The Essentials
John B. West - 1994
The Seventh Edition updates and revises material to reflect current advances in respiratory science but does not stray from the proven formula students and faculty have enjoyed since 1974.New updates include physiology of pulmonary capillaries, hypoxic pulmonary vasoconstriction, pulmonary edema, surface tension, elastic properties of the lung and chest wall, metabolic functions of the lung, and perinatal respiration. Ample illustrations and pedagogical features help clarify important equations and concepts. USMLE-style review questions at the end of each chapter help students review for class or boards.
How Math Explains the World: A Guide to the Power of Numbers, from Car Repair to Modern Physics
James D. Stein - 2008
In the four main sections of the book, Stein tells the stories of the mathematical thinkers who discerned some of the most fundamental aspects of our universe. From their successes and failures, delusions, and even duels, the trajectories of their innovations—and their impact on society—are traced in this fascinating narrative. Quantum mechanics, space-time, chaos theory and the workings of complex systems, and the impossibility of a "perfect" democracy are all here. Stein's book is both mind-bending and practical, as he explains the best way for a salesman to plan a trip, examines why any thought you could have is imbedded in the number π , and—perhaps most importantly—answers one of the modern world's toughest questions: why the garage can never get your car repaired on time.Friendly, entertaining, and fun, How Math Explains the World is the first book by one of California's most popular math teachers, a veteran of both "math for poets" and Princeton's Institute for Advanced Studies. And it's perfect for any reader wanting to know how math makes both science and the world tick.
Quantum Mechanics: Concepts and Applications
Nouredine Zettili - 2001
It combines the essential elements of the theory with the practical applications. Containing many examples and problems with step-by-step solutions, this cleverly structured text assists the reader in mastering the machinery of quantum mechanics. * A comprehensive introduction to the subject * Includes over 65 solved examples integrated throughout the text * Includes over 154 fully solved multipart problems * Offers an indepth treatment of the practical mathematical tools of quantum mechanics * Accessible to teachers as well as students
Gravitation and Cosmology: Principles and Applications of the General Theory of Relativity
Steven Weinberg - 1972
Unique in basing relativity on the Principle of Equivalence of Gravitation and Inertia over Riemannian geometry, this book explores relativity experiments and observational cosmology to provide a sound foundation upon which analyses can be made. Covering special and general relativity, tensor analysis, gravitation, curvature, and more, this book provides an engaging, insightful introduction to the forces that shape the universe.