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Books
Logic
Mathematical Proofs: A Transition to Advanced Mathematics (3rd Edition) (Featured Titles for Transition to Advanced Mathematics)
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Author: Gary Chartrand
Brand: Pearson

Mathematical Proofs: A Transition to Advanced Mathematics, Third Edition, prepares students for the more abstract mathematics courses that follow calculus. Appropriate for selfstudy or for use in the classroom, this text introduces students to proof techniques, analyzing proofs, and writing proofs of their own. Written in a clear, conversational style, this book provides a solid introduction to such topics as relations, functions, and cardinalities of sets, as well as the theoretical aspects of fields such as number theory, abstract algebra, and group theory. It is also a great reference text that students can look back to when writing or reading proofs in their more advanced courses.
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 Used Book in Good Condition
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Griddlers Logic Puzzles: Black and White (Volume 24)
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Author: Griddlers Team

Griddlers logic puzzles, also known as Picross or Nonograms, are picture logic puzzles in which cells in a grid have to be colored or left blank according to numbers given at the side of the grid to reveal a hidden picture. Some people compare Griddlers to Sudoku. However, the Griddlers puzzles always reveal a nice image as a result. This book consists of 127 Griddlers and 8 Triddlers puzzles, from small and easy up to big and complicated ones that may take several hours to solve. Seven of them are multigriddlers  one two parts together give one image. The solutions of the puzzles appear at the end of the book.
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A Farewell to Ice: A Report from the Arctic
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Author: Peter Wadhams

Based on five decades of research and observation, a haunting and unsparing look at the melting ice caps, and what their disappearance will mean.
Peter Wadhams has been studying ice firsthand since 1970, completing 50 trips to the world's poles and observing for himself the changes over the course of nearly five decades. His conclusions are stark: the ice caps are melting. Following the hottest summer on record, sea ice in September 2016 was the thinnest in recorded history. There is now the probability that within a few years the North Pole will be icefree for the first time in 10,000 years, entering what some call the "Artic death spiral." As sea ice, as well as land ice on Greenland and Antarctica, continues to melt, the rise in sea levels will devastate coastal communities across the world. The collapse of summer ice in the Artic will release large amounts of methane currently trapped by offshore permafrost. Methane has twentythree times greater greenhouse warming effect per molecule than CO2; an icefree arctic summer will therefore have an albedo effect nearly equivalent to that of the last thirty years.
A sobering but urgent and engaging book, A Farewell to Ice shows us ice's role on our planet, its history, and the true dimensions of the current global crisis, offering readers concrete advice about what they can do, and what must be done.
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Conceptual Mathematics: A First Introduction to Categories
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Author: F. William Lawvere
Brand: Brand: Cambridge University Press

In the last 60 years, the use of the notion of category has led to a remarkable unification and simplification of mathematics. Conceptual Mathematics, Second Edition, introduces the concept of 'category' for the learning, development, and use of mathematics, to both beginning students and general readers, and to practicing mathematical scientists. The treatment does not presuppose knowledge of specific fields, but rather develops, from basic definitions, such elementary categories as discrete dynamical systems and directed graphs; the fundamental ideas are then illuminated by examples in these categories.
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 Used Book in Good Condition
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Basic Category Theory for Computer Scientists (Foundations of Computing)
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Author: Benjamin C. Pierce
Brand: imusti

Basic Category Theory for Computer Scientists provides a straightforward presentation of the basic constructions and terminology of category theory, including limits, functors, natural transformations, adjoints, and cartesian closed categories. Category theory is a branch of pure mathematics that is becoming an increasingly important tool in theoretical computer science, especially in programming language semantics, domain theory, and concurrency, where it is already a standard language of discourse. Assuming a minimum of mathematical preparation, Basic Category Theory for Computer Scientists provides a straightforward presentation of the basic constructions and terminology of category theory, including limits, functors, natural transformations, adjoints, and cartesian closed categories. Four case studies illustrate applications of category theory to programming language design, semantics, and the solution of recursive domain equations. A brief literature survey offers suggestions for further study in more advanced texts. Contents Tutorial • Applications • Further Reading
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Ernst Zermelo  Collected Works/Gesammelte Werke II: Volume II/Band II  Calculus of Variations, Applied Mathematics, and Physics/Variationsrechnung, ... Klasse (English and German Edition)
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Author: Ernst Zermelo

Ernst Zermelo (18711953) is regarded as the founder of axiomatic set theory and is bestknown for the first formulation of the axiom of choice. However, his papers also include pioneering work in applied mathematics and mathematical physics. This edition of his collected papers consists of two volumes. The present Volume II covers Ernst Zermelo’s work on the calculus of variations, applied mathematics, and physics. The papers are each presented in their original language together with an English translation, the versions facing each other on opposite pages. Each paper or coherent group of papers is preceded by an introductory note provided by an acknowledged expert in the field who comments on the historical background, motivation, accomplishments, and influence.


Beyond Infinity: An Expedition to the Outer Limits of Mathematics
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Author: Eugenia Cheng
Brand: BASIC

"[Cheng] does a great service by showing us nonmathematician schlubs how real mathematical creativity works." Wall Street Journal
How big is the universe? How many numbers are there? And is infinity + 1 is the same as 1 + infinity? Such questions occur to young children and our greatest minds. And they are all the same question: What is infinity? In Beyond Infinity, Eugenia Cheng takes us on a staggering journey from elemental math to its loftiest abstractions. Along the way, she considers how to use a chessboard to plan a worldwide dinner party, how to make a chickensandwich sandwich, and how to create infinite cookies from a finite ball of dough. Beyond Infinity shows how one little symbol holds the biggest idea of all.
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How to Read and Do Proofs: An Introduction to Mathematical Thought Processes
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Author: Daniel Solow

This text makes a great supplement and provides a systematic approach for teaching undergraduate and graduate students how to read, understand, think about, and do proofs. The approach is to categorize, identify, and explain (at the student's level) the various techniques that are used repeatedly in all proofs, regardless of the subject in which the proofs arise. How to Read and Do Proofs also explains when each technique is likely to be used, based on certain key words that appear in the problem under consideration. Doing so enables students to choose a technique consciously, based on the form of the problem.
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The Algebra of Thought & Reality: Second Edition: The Mathematical Basis for Plato's Theory of Ideas, and Reality Extended to Include A Priori Observers and SpaceTime
Lowest new price: $16.93
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Author: Stephen Blaha

This Second Edition extends the First Edition of The Algebra Of Thought & Reality: A New Operator Formulation For Classical & Quantum Logic Obviating Logic Paradoxes & Gödel's Undecidability Theorem; and Giving a Mathematical Basis For Plato's Theory Of Ideas, And Reality  The Standard Model Of Particles in several ways. There are three important new sections. One section discusses Observers both in the formulation of Operator Logic and in the Quantum Reality in which we live. The second new section discusses spacetime. It shows the need for Time since, for example, proofs are stated in (time) steps as are experiments and phenomena in Reality. Since we see events at various spatial locations the concept of space must appear in Reality. Consistency with the spinor formulation of Operator Logic leads to fourdimensional spacetime. The third section deals with the Concept of Being as substance and form from philosophic and modern particle physics points of view. Lastly, some additional comments appear in the text. The additional topics presented in this edition serve to solidify the connection of Operator Logic (IdeasThought) with Blaha's derivation of the Standard Model (Reality as we currently know it). Thus the chain from Operator Logic to the Standard Model is more solid and based on known entities while other attempts at comprehensive theories of Reality are usually based on unobserved and/or less justifiable constructs, and thus are less compelling. Both editions describe a new formulation of Logic  Operator Logic. It appears to resolve all of the paradoxes that have beset Logic since the 19th century. It reduces the importance of Gödel's Undecidability Theorem by showing how to generally, and consistently, exclude undecidable propositions from a mathematicaldeductive system or its corresponding calculus. These books also show how Plato's theory of Ideas and Reality, and their mathematical relation, is mirrored by the development of the Standard Model of Elementary Particles from the mathematical framework of Operator Logic. These editions can be viewed as the precursors of the derivation of the Standard Model given in Blaha's book "A Complete Derivation of the Form of the Standard Model with a New Method to Generate Particle Masses."


Categories for the Working Mathematician (Graduate Texts in Mathematics)
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Author: Saunders Mac Lane
Brand: imusti

An array of general ideas useful in a wide variety of fields. Starting from the foundations, this book illuminates the concepts of category, functor, natural transformation, and duality. It then turns to adjoint functors, which provide a description of universal constructions, an analysis of the representations of functors by sets of morphisms, and a means of manipulating direct and inverse limits. These categorical concepts are extensively illustrated in the remaining chapters, which include many applications of the basic existence theorem for adjoint functors. The categories of algebraic systems are constructed from certain adjointlike data and characterised by Beck's theorem. After considering a variety of applications, the book continues with the construction and exploitation of Kan extensions. This second edition includes a number of revisions and additions, including new chapters on topics of active interest: symmetric monoidal categories and braided monoidal categories, and the coherence theorems for them, as well as 2categories and the higher dimensional categories which have recently come into prominence.
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