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Basic Analysis I
Basic Analysis I: Functions of a Real Variable is designed for students who have completed the usual calculus and ordinary differential equation sequence and a basic course in linear algebra. This is a critical course in the use of abstraction, but is just first volume in a sequence of courses which prepare students to become practicing scientists. This book is written with the aim of balancing the theory and abstraction with clear explanations and arguments, so that students who are from a variety of different areas can follow this text and use it profitably for self-study. It can also be used as a supplementary text for anyone whose work requires that they begin to assimilate more abstract mathematical concepts as part of their professional growth. Features Can be used as a traditional textbook as well as for self-study Suitable for undergraduate mathematics students, or for those in other disciplines requiring a solid grounding in abstraction Emphasises learning how to understand the consequences of assumptions using a variety of tools to provide the proofs of propositions
Cooking
In an era of outfitted home kitchens and food fascination, it's no wonder home cooks who never learned the fundamentals of the kitchen are intimidated. Twenty years ago, James Peterson could relate, and so he taught himself by cooking his way through professional kitchens and stacks of books, logging the lessons of his kitchen education one by one. Now one of the country's most revered cooking teachers, Peterson provides the confidence-building instructions home cooks need to teach themselves to cook consistently with ease and success. COOKING is the only all-in-one instructional that details the techniques that cooks really need to master, teaches all the basic recipes, and includes hundred...
Glorious French Food
From the James Beard award--winning author of Sauces-a new classic on French cuisine for today's cook His award-winning books have won the praise of The New York Times and Gourmet magazine as well as such culinary luminaries as chefs Daniel Boulud, Jeremiah Tower, and Alice Waters. Now James Peterson brings his tremendous stores of culinary knowledge, energy, and imagination to this fresh and inspiring look at the classic dishes of French cuisine. With a refreshing, broadminded approach that embraces different French cooking styles-from fine dining to bistro-style cooking, from hearty regional fare to nouvelle cuisine-Peterson uses fifty "foundation" French dishes as the springboard to prepa...
Basic Analysis V
Basic Analysis V: Functional Analysis and Topology introduces graduate students in science to concepts from topology and functional analysis, both linear and nonlinear. It is the fifth book in a series designed to train interested readers how to think properly using mathematical abstractions, and how to use the tools of mathematical analysis in applications. It is important to realize that the most difficult part of applying mathematical reasoning to a new problem domain is choosing the underlying mathematical framework to use on the problem. Once that choice is made, we have many tools we can use to solve the problem. However, a different choice would open up avenues of analysis from a diff...
Basic Analysis II
Basic Analysis II: A Modern Calculus in Many Variables focuses on differentiation in Rn and important concepts about mappings from Rn to Rm, such as the inverse and implicit function theorem and change of variable formulae for multidimensional integration. These topics converge nicely with many other important applied and theoretical areas which are no longer covered in mathematical science curricula. Although it follows on from the preceding volume, this is a self-contained book, accessible to undergraduates with a minimal grounding in analysis. Features Can be used as a traditional textbook as well as for self-study Suitable for undergraduates in mathematics and associated disciplines Emphasises learning how to understand the consequences of assumptions using a variety of tools to provide the proofs of propositions
Baking
The learn-to-bake master class in a book. The craft of baking is based on good technique. Learn the fundamentals well, and you can bake perfect cakes, cookies, tarts, breads, and pastries each and every time. That's the premise of Baking, revered cooking teacher James Peterson's master course in baking fundamentals. In more than 350 recipes and auxiliary techniques--most accompanied by illuminating step-by-step photographs--Peterson lays the foundation for lifelong baking success. This book teaches you how to build finished baked goods from their essential components, providing both maximum guidance for less experienced bakers and great creative freedom for more confident bakers. The Cakes c...
Basic Analysis
Basic Analysis: Volumes I-V is written with the aim of balancing theory and abstraction with clear explanations and arguments, so that students and researchers alike who are from a variety of different areas can follow this text and use it profitably for self-study. The first volume is designed for students who have completed the usual calculus and ordinary differential equation sequence and a basic course in linear algebra. This is a critical course in the use of abstraction, but is just first volume in a sequence of courses which prepare students to become practicing scientists. The second volume focuses on differentiation in n-dimensions and important concepts about mappings between finit...
Basic Analysis IV
Basic Analysis IV: Measure Theory and Integration introduces students to concepts from measure theory and continues their training in the abstract way of looking at the world. This is a most important skill to have when your life's work will involve quantitative modeling to gain insight into the real world. This text generalizes the notion of integration to a very abstract setting in a variety of ways. We generalize the notion of the length of an interval to the measure of a set and learn how to construct the usual ideas from integration using measures. We discuss carefully the many notions of convergence that measure theory provides. Features • Can be used as a traditional textbook as well as for self-study • Suitable for advanced students in mathematics and associated disciplines • Emphasises learning how to understand the consequences of assumptions using a variety of tools to provide the proofs of propositions
Basic Analysis III
Basic Analysis III: Mappings on Infinite Dimensional Spaces is intended as a first course in abstract linear analysis. This textbook cover metric spaces, normed linear spaces and inner product spaces, along with many other deeper abstract ideas such a completeness, operators and dual spaces. These topics act as an important tool in the development of a mathematically trained scientist. Feature: Can be used as a traditional textbook as well as for self-study Suitable for undergraduates in mathematics and associated disciplines Emphasizes learning how to understand the consequences of assumptions using a variety of tools to provide the proofs of propositions
Basic Analysis IV
Basic Analysis IV: Measure Theory and Integration introduces students to concepts from measure theory and continues their training in the abstract way of looking at the world. This is a most important skill to have when your life's work will involve quantitative modeling to gain insight into the real world. This text generalizes the notion of integration to a very abstract setting in a variety of ways. We generalize the notion of the length of an interval to the measure of a set and learn how to construct the usual ideas from integration using measures. We discuss carefully the many notions of convergence that measure theory provides. Features • Can be used as a traditional textbook as well as for self-study • Suitable for advanced students in mathematics and associated disciplines • Emphasises learning how to understand the consequences of assumptions using a variety of tools to provide the proofs of propositions
