The Second Course


Book Description

Set between the hip and idyllic farm-to-table foodie communities of the Hudson Valley, and the hotspots of Brooklyn, the Hamptons, and Manhattan, The Second Course follows four old friends struggling to find their footing in a rapidly changing world. Food has always been Billy’s language and her currency, but she isn’t hungry anymore—and it’s terrifying her. That is, until she attends a wedding and meets chef Ethan—an enigmatic powerhouse half her age. Billy is sure her life will never be the same, and she's right: she soon finds herself moving upstate to restart her culinary career with Ethan as her business partner—trading New York nightlife for hikes and foraging in the peaceful Hudson Valley. Back in the city, her three best friends, Lucy, Sarah, and Lotta each harbor secrets that threaten to tear their lives apart. Tensions are rising between the four women, and it will take one tragedy—and more than a few glasses of wine—for them to remember why they became friends in the first place. With the electrifying culinary prose of Stephanie Danler’s Sweetbitter and the heart of Elisabeth Egan’s A Window Opens, The Second Course is both a treat for the senses and an honest exploration of the shared conflicts, deep love and loyalty that bind a group of girlfriends together.




A Second Course in Elementary Differential Equations


Book Description

A Second Course in Elementary Differential Equations deals with norms, metric spaces, completeness, inner products, and an asymptotic behavior in a natural setting for solving problems in differential equations. The book reviews linear algebra, constant coefficient case, repeated eigenvalues, and the employment of the Putzer algorithm for nondiagonalizable coefficient matrix. The text describes, in geometrical and in an intuitive approach, Liapunov stability, qualitative behavior, the phase plane concepts, polar coordinate techniques, limit cycles, the Poincaré-Bendixson theorem. The book explores, in an analytical procedure, the existence and uniqueness theorems, metric spaces, operators, contraction mapping theorem, and initial value problems. The contraction mapping theorem concerns operators that map a given metric space into itself, in which, where an element of the metric space M, an operator merely associates with it a unique element of M. The text also tackles inner products, orthogonality, bifurcation, as well as linear boundary value problems, (particularly the Sturm-Liouville problem). The book is intended for mathematics or physics students engaged in ordinary differential equations, and for biologists, engineers, economists, or chemists who need to master the prerequisites for a graduate course in mathematics.




A Second Course in Complex Analysis


Book Description

A clear, self-contained treatment of important areas in complex analysis, this text is geared toward upper-level undergraduates and graduate students. The material is largely classical, with particular emphasis on the geometry of complex mappings. Author William A. Veech, the Edgar Odell Lovett Professor of Mathematics at Rice University, presents the Riemann mapping theorem as a special case of an existence theorem for universal covering surfaces. His focus on the geometry of complex mappings makes frequent use of Schwarz's lemma. He constructs the universal covering surface of an arbitrary planar region and employs the modular function to develop the theorems of Landau, Schottky, Montel, and Picard as consequences of the existence of certain coverings. Concluding chapters explore Hadamard product theorem and prime number theorem.




A Companion to Analysis


Book Description

This book not only provides a lot of solid information about real analysis, it also answers those questions which students want to ask but cannot figure how to formulate. To read this book is to spend time with one of the modern masters in the subject. --Steven G. Krantz, Washington University, St. Louis One of the major assets of the book is Korner's very personal writing style. By keeping his own engagement with the material continually in view, he invites the reader to a similarly high level of involvement. And the witty and erudite asides that are sprinkled throughout the book are a real pleasure. --Gerald Folland, University of Washingtion, Seattle Many students acquire knowledge of a large number of theorems and methods of calculus without being able to say how they hang together. This book provides such students with the coherent account that they need. A Companion to Analysis explains the problems which must be resolved in order to obtain a rigorous development of the calculus and shows the student how those problems are dealt with. Starting with the real line, it moves on to finite dimensional spaces and then to metric spaces. Readers who work through this text will be ready for such courses as measure theory, functional analysis, complex analysis and differential geometry. Moreover, they will be well on the road which leads from mathematics student to mathematician. Able and hard working students can use this book for independent study, or it can be used as the basis for an advanced undergraduate or elementary graduate course. An appendix contains a large number of accessible but non-routine problems to improve knowledge and technique.




The Second Course


Book Description

Set between the hip and idyllic farm-to-table foodie communities of the Hudson Valley, and the hotspots of Brooklyn, the Hamptons, and Manhattan, The Second Course follows four old friends struggling to find their footing in a rapidly changing world. Food has always been Billy’s language and her currency, but she isn’t hungry anymore—and it’s terrifying her. That is, until she attends a wedding and meets chef Ethan—an enigmatic powerhouse half her age. Billy is sure her life will never be the same, and she's right: she soon finds herself moving upstate to restart her culinary career with Ethan as her business partner—trading New York nightlife for hikes and foraging in the peaceful Hudson Valley. Back in the city, her three best friends, Lucy, Sarah, and Lotta each harbor secrets that threaten to tear their lives apart. Tensions are rising between the four women, and it will take one tragedy—and more than a few glasses of wine—for them to remember why they became friends in the first place. With the electrifying culinary prose of Stephanie Danler’s Sweetbitter and the heart of Elisabeth Egan’s A Window Opens, The Second Course is both a treat for the senses and an honest exploration of the shared conflicts, deep love and loyalty that bind a group of girlfriends together.




Statistical Concepts - A Second Course


Book Description

Statistical Concepts consists of the last 9 chapters of An Introduction to Statistical Concepts, 3rd ed. Designed for the second course in statistics, it is one of the few texts that focuses just on intermediate statistics. The book highlights how statistics work and what they mean to better prepare students to analyze their own data and interpret SPSS and research results. As such it offers more coverage of non-parametric procedures used when standard assumptions are violated since these methods are more frequently encountered when working with real data. Determining appropriate sample sizes is emphasized throughout. Only crucial equations are included. The new edition features: New co-author, Debbie L. Hahs-Vaughn, the 2007 recipient of the University of Central Florida's College of Education Excellence in Graduate Teaching Award. A new chapter on logistic regression models for today's more complex methodologies. Much more on computing confidence intervals and conducting power analyses using G*Power. All new SPSS version 19 screenshots to help navigate through the program and annotated output to assist in the interpretation of results. Sections on how to write-up statistical results in APA format and new templates for writing research questions. New learning tools including chapter-opening vignettes, outlines, a list of key concepts, "Stop and Think" boxes, and many more examples, tables, and figures. More tables of assumptions and the effects of their violation including how to test them in SPSS. 33% new conceptual, computational, and all new interpretative problems. A website with Power Points, answers to the even-numbered problems, detailed solutions to the odd-numbered problems, and test items for instructors, and for students the chapter outlines, key concepts, and datasets. Each chapter begins with an outline, a list of key concepts, and a research vignette related to the concepts. Realistic examples from education and the behavioral sciences illustrate those concepts. Each example examines the procedures and assumptions and provides tips for how to run SPSS and develop an APA style write-up. Tables of assumptions and the effects of their violation are included, along with how to test assumptions in SPSS. Each chapter includes computational, conceptual, and interpretive problems. Answers to the odd-numbered problems are provided. The SPSS data sets that correspond to the book’s examples and problems are available on the web. The book covers basic and advanced analysis of variance models and topics not dealt with in other texts such as robust methods, multiple comparison and non-parametric procedures, and multiple and logistic regression models. Intended for courses in intermediate statistics and/or statistics II taught in education and/or the behavioral sciences, predominantly at the master's or doctoral level. Knowledge of introductory statistics is assumed.




A Second Course in Mathematical Analysis


Book Description

A classic calculus text reissued in the Cambridge Mathematical Library. Clear and logical, with many examples.




A Second Course in Formal Languages and Automata Theory


Book Description

A textbook for a graduate course on formal languages and automata theory, building on prior knowledge of theoretical computer models.




Calculus Deconstructed


Book Description

Calculus Deconstructed is a thorough and mathematically rigorous exposition of single-variable calculus for readers with some previous exposure to calculus techniques but not to methods of proof. This book is appropriate for a beginning Honors Calculus course assuming high school calculus or a "bridge course" using basic analysis to motivate and illustrate mathematical rigor. It can serve as a combination textbook and reference book for individual self-study. Standard topics and techniques in single-variable calculus are presented in context of a coherent logical structure, building on familiar properties of real numbers and teaching methods of proof by example along the way. Numerous examples reinforce both practical and theoretical understanding, and extensive historical notes explore the arguments of the originators of the subject. No previous experience with mathematical proof is assumed: rhetorical strategies and techniques of proof (reductio ad absurdum, induction, contrapositives, etc.) are introduced by example along the way. Between the text and exercises, proofs are available for all the basic results of calculus for functions of one real variable.




Building a Second Brain


Book Description

"Building a second brain is getting things done for the digital age. It's a ... productivity method for consuming, synthesizing, and remembering the vast amount of information we take in, allowing us to become more effective and creative and harness the unprecedented amount of technology we have at our disposal"--