Mathematical foundations Books
Cambridge University Press Model Theory with Applications to Algebra and Analysis Volume 1 London Mathematical Society Lecture Note Series Series Number 349
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£50.99
Cambridge University Press Model Theory With Applications To Algebra And Analysis
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£65.86
Cambridge University Press Kurt Gdel and the Foundations of Mathematics Horizons of Truth
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£107.35
Cambridge University Press New Perspectives in Algebraic Combinatorics
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£122.55
Cambridge University Press Model Theory Algebra and Geometry 39 Mathematical Sciences Research Institute Publications Series Number 39
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£105.45
Cambridge University Press Recent Trends in Combinatorics
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£104.50
Cambridge University Press Random Matrix Models and their Applications
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£122.55
Cambridge University Press Sets for Mathematics
Book SynopsisIn this book, first published in 2003, categorical algebra is used to build a foundation for the study of geometry, analysis, and algebra. Starting with intuitive descriptions of mathematically and physically common phenomena, it leads up to a precise specification of the Category of Sets. Suitable for advanced undergraduates and beginning graduate students.Trade Review"...the categorical approach to mathematics has never been presented with greater conviction than it has in this book. The authors show that the use of categories in analyzing the set concept is not only natural, but inevitable." Mathematical Reviews"To learn set theory this way means not having to relearn it later.... Recommended." ChoiceTable of ContentsForeword; 1. Abstract sets and mappings; 2. Sums, monomorphisms and parts; 3. Finite inverse limits; 4. Colimits, epimorphisms and the axiom of choice; 5. Mapping sets and exponentials; 6. Summary of the axioms and an example of variable sets; 7. Consequences and uses of exponentials; 8. More on power sets; 9. Introduction to variable sets; 10. Models of additional variation; Appendices; Bibliography.
£109.25
Cambridge University Press Mathematical Constants
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£151.05
Cambridge University Press Combinatorics of Symmetric Designs 5 New Mathematical Monographs Series Number 5
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£133.95
Cambridge University Press Categorical Foundations Special Topics in Order Topology Algebra and Sheaf Theory 97 Encyclopedia of Mathematics and its Applications Series Number 97
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£122.55
Cambridge University Press Spectral Generalizations of Line Graphs On Graphs with Least Eigenvalue 2 314 London Mathematical Society Lecture Note Series Series Number 314
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£65.86
Cambridge University Press Dependence Logic A New Approach to Independence Friendly Logic 70 London Mathematical Society Student Texts Series Number 70
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£116.85
Cambridge University Press A Primer of Infinitesimal Analysis
Book SynopsisOne of the most remarkable recent occurrences in mathematics is the refounding, on a rigorous basis, of the idea of infinitesimal quantity, a notion which played an important role in the early development of the calculus and mathematical analysis. In this new edition basic calculus, together with some of its applications to simple physical problems, are presented through the use of a straightforward, rigorous, axiomatically formulated concept of 'zero-square', or 'nilpotent' infinitesimal - that is, a quantity so small that its square and all higher powers can be set, literally, to zero. The systematic employment of these infinitesimals reduces the differential calculus to simple algebra and, at the same time, restores to use the âœinfinitesimalâ methods figuring in traditional applications of the calculus to physical problems - a number of which are discussed in this book. This edition also contains an expanded historical and philosophical introduction.Trade Review'This might turn out to be a boring, shallow book review: I merely LOVED the book...the explanations are so clear, so considerate; the author must have taught the subject many times, since he anticipates virtually every potential question, concern, and misconception in a student's or reader's mind.' MAA Reviews'John Bell has done a first rate job in presenting an elementary introduction to this fascinating subject ... I recommend it highly.' J. P. Mayberry, British Journal for the Philosophy of ScienceTable of ContentsIntroduction; 1. Basic features of smooth worlds; 2. Basic differential calculus; 3. First applications of the differential calculus; 4. Applications to physics; 5. Multivariable calculus and applications; 6. The definite integral: Higher order infinitesimals; 7. Synthetic geometry; 8. Smooth infinitesimal analysis as an axiomatic system; Appendix; Models for smooth infinitesimal analysis.
£52.24
Cambridge University Press Introduction to Coalgebra Towards Mathematics of States and Observation 59 Cambridge Tracts in Theoretical Computer Science Series Number 59
Book SynopsisThis is the first mature and accessible introduction to coalgebra, providing clear mathematical explanations, with many examples and exercises involving deterministic and non-deterministic automata, transition systems, streams, Markov chains and weighted automata. It will be of interest to mathematicians, computer scientists, mathematical physicists and even economists.Trade Review'The book is very carefully written, its many examples are discussed usually in great detail, expressing patiently the salient features to be exhibited. This applies to the usually fairly detailed proofs as well. Another treasure trove is the collection of most instructive exercises, of which there are plenty … This admirable book sets the standard for the work on set-based coalgebras for many years to come. It can be used for reference, and it is equally usable as a textbook.' Ernst-Erich Doberkat, Zentralblatt MATHTable of Contents1. Motivation; 2. Coalgebras of polynomial functors; 3. Bisimulations; 4. Logic, lifting and finality; 5. Monads, comonads and distributive laws; 6. Invariants and assertions; References; Definition and symbol index; Subject index.
£133.95
Cambridge University Press Kurt Godel and the Foundations of Mathematics Horizons Of Truth
Book SynopsisThis volume commemorates the life, work and foundational views of Kurt Gödel by exploring the impact of his work on current research and its future implications not only in the foundations of mathematics and logic, but also in the fields of computer science, artificial intelligence, physics, cosmology, philosophy, theology and the history of science.Trade Review'This is a very useful volume that brings together aspects of Gödel's work that relates to logic and mathematics …' The Mathematical IntelligencerTable of ContentsPart I. Historical Context - Gödel's Contributions and Accomplishments: 1. The impact of Gödel's incompleteness theorems on mathematics Angus Macintyre; 2. Logical hygiene, foundations, and abstractions: diversity among aspects and options Georg Kreisel; 3. The reception of Gödel's 1931 incompletability theorems by mathematicians, and some logicians, to the early 1960s Ivor Grattan-Guinness; 4. 'Dozent Gödel will not lecture' Karl Sigmund; 5. Gödel's thesis: an appreciation Juliette C. Kennedy; 6. Lieber Herr Bernays!, Lieber Herr Gödel! Gödel on finitism, constructivity, and Hilbert's program Solomon Feferman; 7. Computation and intractability: echoes of Kurt Gödel Christos H. Papadimitriou; 8. From the entscheidungsproblem to the personal computer - and beyond B. Jack Copeland; 9. Gödel, Einstein, Mach, Gamow, and Lanczos: Gödel's remarkable excursion into cosmology Wolfgang Rindler; 10. Physical unknowables Karl Svozil; Part II. A Wider Vision - the Interdisciplinary, Philosophical, and Theological Implications of Gödel's Work: 11. Gödel and physics John D. Barrow; 12. Gödel, Thomas Aquinas, and the unknowability of God Denys A. Turner; 13. Gödel's mathematics of philosophy Piergiorgio Odifreddi; 14. Gödel's ontological proof and its variants Petr Hájek; 15. The Gödel theorem and human nature Hilary Putnam; 16. Gödel, the mind, and the laws of physics Roger Penrose; Part III. New Frontiers - Beyond Gödel's Work in Mathematics and Symbolic Logic: 17. Gödel's functional interpretation and its use in current mathematics Ulrich Kohlenbach; 18. My forty years on his shoulders Harvey M. Friedman; 19. My interaction with Kurt Gödel: the man and his work Paul J. Cohen; 20. The transfinite universe W. Hugh Woodin; 21. The Gödel phenomena in mathematics: a modern view Avi Wigderson.
£56.99
Cambridge University Press The Combination of Observations
Book SynopsisFirst published in 1931, this book is the second edition of a 1917 original. The text provides an account of the method of least squares, aiming to obtain the best interpretation of the results of experiment without consideration of the way in which these results are obtained.Table of Contents1. Errors of observation; 2. The law of error; 3. The case of one unknown; 4. Observations of a different weight; 5. The general problem of the adjustment of indirect observations involving several unknown quantities; 6. Evaluation of the most probable values of the unknowns, their weights and probable errors; 7. The adjustment of conditioned observations; 8. The rejection of observations; 9. Alternatives to the normal law of errors; 10. Correlation; 11. Harmonic analysis; 12. The periodogram; Appendices; Index.
£27.99
McGraw-Hill Education - Europe Aleks 360 18 Weeks for Basic College Math with
Book Synopsis
£125.16
Pearson Education (US) Student Solutions Manual for Finite Mathematics
Book Synopsis Larry Goldstein has received several distinguished teaching awards, given more than fifty Conference and Colloquium talks & addresses, and written more than fifty books in math and computer programming. He received his PhD at Princeton and his BA and MA at the University of Pennsylvania. He also teaches part time at Drexel University. David Schneider, who is known widely for his tutorial software, holds a BA degree from Oberlin College and a PhD from MIT. He is currently an emeritus professor of mathematics at the University of Maryland. He has authored eight widely used math texts, fourteen highly acclaimed computer books, and three widely used mathematical software packages. He has also produced instructional videotapes at both the University of Maryland and the BBC. Table of Contents 1. Linear Equations and Straight Lines 2. Matrices 3. Linear Programming, A Geometric Approach 4. The Simplex Method 5. Sets and Counting 6. Probability 7. Probability and Statistics 8. Markov Processes 9. The Theory of Games 10. The Mathematics of Finance 11. Logic Appendix A. Areas Under the Standard Normal Curve Appendix B. The TI-83/84 Plus Graphing Calculators Appendix C. Spreadsheet Fundamentals Appendix D. Wolfram Alpha Answers to Odd-Numbered Exercises Index
£68.00
Holiday House Inc Fractions Decimals and Percents
Book SynopsisStep right up! Come take part in the county fair, where you’ll see fractions, decimals, and percents everywhere. Gobble up a fraction of pie, boost your batting average in the arcade, and take a percent off the price of a toy. Learning about equivalent parts equals a whole lot of fun in this straightforward introduction to a challenging concept.
£8.54
Springer Reading Writing and Proving
Book Synopsis-Preface.-1. The How, When, and Why of Mathematics.- 2. Logically Speaking.- 3.Introducing the Contrapositive and Converse.- 4. Set Notation and Quantifiers.- 5. Proof Techniques.- 6. Sets.- 7. Operations on Sets.- 8. More on Operations on Sets.- 9. The Power Set and the Cartesian Product.- 10. Relations.- 11. Partitions.- 12. Order in the Reals.- 13. Consequences of the Completeness of (Bbb R).- 14. Functions, Domain, and Range.-15. Functions, One-to-One, and Onto.- 16. Inverses.- 17. Images and Inverse Images.- 18. Mathematical Induction.- 19. Sequences.- 20. Convergence of Sequences of Real Numbers.- 21. Equivalent Sets.- 22. Finite Sets and an Infinite Set.- 23. Countable and Uncountable Sets.- 24. The Cantor-Schröder-Bernstein Theorem.- 25. Metric Spaces.- 26. Getting to Know Open and Closed Sets.- 27. Modular Arithmetic.- 28. Fermat's Little Theorem.- 29. Projects.- Appendix.- References.- Index.Trade ReviewFrom the reviews of the second edition:“The book is written in an informal way, which could please the beginners and not offend the more experienced reader. A reader can find a lot of problems for independent study as well as a lot of illustrations encouraging him/her to draw pictures as an important part of the process of mathematical thinking.”—European Mathematical Society, September 2011"Several areas like sets, functions, sequences and convergence are dealt with and several exercises and projects are provided for deepening the understanding. …It is the impression of the author of this review that the book can be particularly strongly recommended for teacher students to enable them to catch and transfer the “essence” of mathematical thinking to their pupils. But also everybody else interested in mathematics will enjoy this very well written book.—Burkhard Alpers (Aalen), zbMATH“The book is primarily concerned with an exposition of those parts of mathematics in which students need a more thorough grounding before they can work successfully in upper-division undergraduate courses. … a mathematically-conventional but pedagogically-innovative take on transition courses.” —Allen Stenger, The Mathematical Association of America, September, 2011Table of Contents-Preface. -1. The How, When, and Why of Mathematics.- 2. Logically Speaking.- 3.Introducing the Contrapositive and Converse.- 4. Set Notation and Quantifiers.- 5. Proof Techniques.- 6. Sets.- 7. Operations on Sets.- 8. More on Operations on Sets.- 9. The Power Set and the Cartesian Product.- 10. Relations.- 11. Partitions.- 12. Order in the Reals.- 13. Consequences of the Completeness of (\Bbb R).- 14. Functions, Domain, and Range.- 15. Functions, One-to-One, and Onto.- 16. Inverses.- 17. Images and Inverse Images.- 18. Mathematical Induction.- 19. Sequences.- 20. Convergence of Sequences of Real Numbers.- 21. Equivalent Sets.- 22. Finite Sets and an Infinite Set.- 23. Countable and Uncountable Sets.- 24. The Cantor-Schröder-Bernstein Theorem.- 25. Metric Spaces.- 26. Getting to Know Open and Closed Sets.- 27. Modular Arithmetic.- 28. Fermat’s Little Theorem.- 29. Projects.- Appendix.- References.- Index.
£64.55
Cognella, Inc When Are We Ever Going To Use This Stuff?: College Mathematics for the Liberal Arts Major
Book SynopsisWhen Are We Ever Going to Use This Stuff? College Mathematics for the Liberal Arts Major is a college level mathematics textbook designed with liberal arts majors in mind. This text uses practical, entertaining topics presented in a readable, student-centered style to teach mathematics concepts and skills for the non-STEM major.While emphasizing practical application over symbolic manipulation, students learn where, when, why, and how the math they learn will help them in their lives. Specific topics include consumer math, apportionment, statistics, probability, set theory, geometry, right triangle trigonometry, and voting techniques, with the history of mathematics as a consistent motivational thread throughout. Concepts are taught within familiar contexts with a focus on the development of problem-solving skills.The eighth edition features a few new historical topics and additional readings in each chapter, updated examples to make the material more relevant, and "From a Different Point of View" sections throughout to emphasize alternative perspectives. To help students and teachers cope with the emerging national trend of reducing or eliminating prerequisite courses, a significant number of review passages have been woven throughout the material.Trade ReviewStudent reviews for the book and Active Learning components:"We actually learn how to apply this math, when this math will be applied, and why it is used in real life. Therefore, instead of just memorizing formulas we actually know what each variable in a formula means and why it is arranged a certain way.""The book is written in an easy to understand language and is filled with helpful examples. As someone who is not very good at math, having so many opportunities to practice examples really helped me understand the material." "This is the best textbook I've ever used. I appreciated the easy and informal language used to explain things in a way that was very easy to understand. Teaches you about concepts related to life.""The instructional videos were an awesome way to learn. As a visual learner, I enjoyed the ability to go back and re-watch the videos if I felt like I wasn't grasping the concept of a particular item well enough.""The textbook is clearly written and helpful, the online exercises reinforce what's learned, and it's presented in a way that makes it accessible and applicable to the 'real world.' I learned something from EVERY exercise in this class.""The study tools definitely made a difference for me. I am a hands-on learner, so I was initially worried about taking online classes but the videos, PowerPoints, and games gave better understanding to me after I read the book." "The videos were great. The book helped reinforce all the information and the games were really fun and a great learning tool.""I really liked the Check Yourself games! Those were extremely helpful and fun in practicing different math problems.""The interactive games actually make the math easy to learn.""The book was amazing in that all the material was so easy to understand. It's as if they took a survey of all the things people wished were different about their previous math books and applied them to this book.""The video lessons were clearly explained and made the material accessible. Having review games available before each quiz provided a good way to review relevant information and let me know what sort of things to expect on the quizzes.""Math is a tough subject for me, and I found all of the learning material to be extremely useful in my learning process.
£96.30
Mark Twain Media Common Core Math Workouts, Grade 8
Book Synopsis
£9.49
£19.22
