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Problems and Solutions in Introductory Mechanics
This problem book is ideal for high-school and college students in search of practice problems with detailed solutions. All of the standard introductory topics in mechanics are covered: kinematics, Newton's laws, energy, momentum, angular momentum, oscillations, gravity, and fictitious forces. The introduction to each chapter provides an overview of the relevant concepts. Students can then warm up with a series of multiple-choice questions before diving into the free-response problems which constitute the bulk of the book. The first few problems in each chapter are derivations of key results/theorems that are useful when solving other problems. While the book is calculus-based, it can also e...
Introduction To Classical Mechanics
This textbook aims to provide a clear and concise set of lectures that take one from the introduction and application of Newton's laws up to Hamilton's principle of stationary action and the lagrangian mechanics of continuous systems. An extensive set of accessible problems enhances and extends the coverage.It serves as a prequel to the author's recently published book entitled Introduction to Electricity and Magnetism based on an introductory course taught sometime ago at Stanford with over 400 students enrolled. Both lectures assume a good, concurrent, course in calculus and familiarity with basic concepts in physics; the development is otherwise self-contained.A good introduction to the subject allows one to approach the many more intermediate and advanced texts with better understanding and a deeper sense of appreciation that both students and teachers alike can share.
Probability
Preface -- Combinatorics -- Probability -- Expectation values -- Distributions -- Gaussian approximations -- Correlation and regression -- Appendices.
Special Relativity
This book is written for high school and college students learning about special relativity for the first time. It will appeal to the reader who has a healthy level of enthusiasm for understanding how and why the various results of special relativity come about. All of the standard introductory topics in special relativity are covered: historical motivation, loss of simultaneity, time dilation, length contraction, velocity addition, Lorentz transformations, Minkowski diagrams, causality, Doppler effect, energy/momentum, collisions/decays, force, and 4-vectors. Additionally, the last chapter provides a brief introduction to the basic ideas of general relativity, including the equivalence prin...
The Green-Eyed Dragons and Other Mathematical Monsters
This book is a collection of 57 very challenging math problems with detailed solutions. It is written for anyone who enjoys pondering difficult problems for great lengths of time. The problems are mostly classics that have been around for ages. They are divided into four categories: General, Geometry, Probability, and Foundational, with the Probability section constituting roughly half the book. Many of the solutions contain extensions/variations of the given problems. In addition to the full solution, each problem comes with a hint. For the most part, algebra is the only formal prerequisite, although a few problems require calculus.Are you eager to tackle the Birthday Problem, Simpson's Paradox, the Game-Show Problem, the Boy/Girl Problem, the Hotel Problem, and of course the Green-Eyed Dragons? If so, this book is for you! You are encouraged to peruse the problems via either the Look Inside feature on Amazon, or the author's Harvard webpage (where all of the problems are posted), to gauge whether the level of difficulty is right for you.
An Introduction to Mechanics
This second edition is ideal for classical mechanics courses for first- and second-year undergraduates with foundation skills in mathematics.
The Oxford Solid State Basics
This is a first undergraduate textbook in Solid State Physics or Condensed Matter Physics. While most textbooks on the subject are extremely dry, this book is written to be much more exciting, inspiring, and entertaining.
Things We've Thought of Enough
This book of rhymes will make you think. There is something for everyone, with themes ranging from silly to sentimental, from whimsical to philosophical. You'll find yourself torn between turning the page to enjoy the next rhyme, and staring off into space to ponder the one you just read. Some rhymes will gently nudge you from your present mode of thought, while others will send you flying headlong to an unexpected new outlook. The imaginative illustrations are sure to produce giggles, sighs, and occasionally a tear. So whether you're looking for lighthearted reading or a supply of thought-provoking topics to reflect on, this book is for you. Features 94 rhymes and 33 illustrations.
Community Ecology
Community ecology is the study of the interactions between populations of co-existing species. Co-edited by two prominent community ecologists and featuring contributions from top researchers in the field, this book provides a survey of the state-of-the-art in both the theory and applications of the discipline. It pays special attention to topology, dynamics, and the importance of spatial and temporal scale while also looking at applications to emerging problems in human-dominated ecosystems (including the restoration and reconstruction of viable communities). Community Ecology: Processes, Models, and Applications adopts a mainly theoretical approach and focuses on the use of network-based theory, which remains little explored in standard community ecology textbooks. The book includes discussion of the effects of biotic invasions on natural communities; the linking of ecological network structure to empirically measured community properties and dynamics; the effects of evolution on community patterns and processes; and the integration of fundamental interactions into ecological networks. A final chapter indicates future research directions for the discipline.
Principles of Electrodynamics
The 1988 Nobel Prize winner establishes the subject's mathematical background, reviews the principles of electrostatics, then introduces Einstein's special theory of relativity and applies it to topics throughout the book.
