# Mathematics round-up

**Manifolds and Differential Geometry**

Author: Jeffrey Lee

Edition: First

Publisher: American Mathematical Society

Pages: 671

Price: £73.50

ISBN 9780821848159

A graduate-level introduction to the tools and structures of modern differential geometry, including vector bundles, tensors, differential forms, de Rham cohomology, the Frobenius theorem and basic Lie group theory.

**Lectures on Fractal Geometry and Dynamical Systems**

Authors: Yakov Pesin and Vaughn Climenhaga

Edition: First

Publisher: American Mathematical Society

Pages: 314

Price: £41.95

ISBN 9780821848890

Aimed at undergraduate students with standard knowledge in calculus, linear algebra and differential equations, this text offers an introduction to fractal geometry and dynamical systems.

**Elementary Probability for Applications**

Author: Rick Durrett

Edition: First

Publisher: Cambridge University Press

Pages: 254

Price: £35.00

ISBN 9780521867566

Durrett aims to provide a clear introduction to probability theory. The text is designed for a one-term introduction to probability for students with basic calculus, with examples from genetics, sports and finance.

**Schaum's Outline of Discrete Mathematics**

Authors: Seymour Lipschutz and Mark Lipson

Edition: Third revised

Publisher: McGraw-Hill

Pages: 496

Price: £11.99

ISBN 9780071615860

The authors offer examples, solved problems and practice exercises with accompanying explanations to test students' skills in discrete mathematics. Subjects covered range from set theory, relations, functions and algorithms to binary trees, finite state machines and Turing machines and ordered sets and lattices.

**Elementary Technical Mathematics, International Edition**

Authors: Dale Ewen and C. Robert Nelson

Edition: Tenth international

Publisher: Brooks Cole

Pages: 648

Price: £52.99

ISBN 9781439047231

Aimed at assisting students with minimal maths background to prepare for technical, trade or allied health courses, the text features numerous examples and applications drawn from such fields as industrial and construction trades, electronics, agriculture, welding, aviation and natural resources. It covers basic arithmetic including the metric system and measurement, algebra, geometry, trigonometry and statistics as they relate to technical fields and specific levels in college.

**A Course in Mathematical Logic for Mathematicians**

Author: Yu I. Manin with B. Zilber

Edition: Second

Publisher: Springer

Pages: 384

Price: £53.99

ISBN 9781441906144

Manin's goal is to provide a clear introduction to modern mathematical logic for working mathematicians, via an elementary introduction to formal languages and then a discussion of proof theory. The text presents highlights of 20th-century mathematical logic, a discussion of computability theory and Higman's theorem on recursive groups.

**Introduction to Mathematical Logic**

Authors: Elliott Mendelson and Kenneth H. Rosen

Edition: Fifth revised

Publisher: Chapman and Hall

Pages: 469

Price: £39.99

ISBN 9781584888765

Retaining all the key features of previous best-selling versions, this fifth edition explores the principal topics of mathematical logic, including propositional logic, first-order logic, first-order number theory and the theory of computability. It adds a chapter on model logic, expands the treatment of Godel's second incompleteness theorem and offers applications on how modern logic can be used in computer science.

**Statistics: From Data to Decision**

Authors: Ann E. Watkins, Richard L. Scheaffer and George W. Cobb

Edition: Second

Publisher: Wiley

Pages: 829

Price: £47.99

ISBN 9780470458518

The authors aim to teach statistics with a modern, data-analytic approach using graphing calculators and statistical software, offering a realistic understanding of the theoretical and practical applications of statistics. This edition includes more examples and a change to the book's title to reflect two key emphases of many university-level courses.

**Precalculus**

Author: Cynthia Y. Young

Edition: First

Publisher: Wiley

Pages: 1,175

Price: £137.00

ISBN 9780471756842

Young's lucid writing style is aimed at engineers looking for a clear approach to calculus, reducing maths anxiety and developing problem-solving skills. Topics covered include equations and inequalities, functions and their graphs, polynomial and rational functions, exponential and logarithmic functions, trigonometric functions of angles and real numbers, analytic trigonometry, polar coordinates and vectors, systems of linear equations and inequalities, conics, sequences and series.

**Calculus: Early Transcendentals**

Authors: William L. Briggs and Lyle Cochran

Edition: First international

Publisher: Pearson Education

Pages: 1,216

Price: £46.99

ISBN 9780321651938

The authors draw on their lecturing experience to create a text that aims to lead students to a deeper understanding of the subject, appealing to readers' geometric intuition to introduce fundamental concepts and lay the foundation for more rigorous development.

**A (Terse) Introduction to Lebesgue Integration**

Author: John Franks

Edition: First

Publisher: American Mathematical Society

Pages: 202

Price: £30.50

ISBN 9780821848623

Franks looks to offer advanced undergraduates and those beginning postgraduate study a gentle first encounter with the concepts of measure theory and functional analysis, in a work that addresses only a subset of the concepts that are likely to be found in a graduate-level analysis course. The text emphasises the motivation of these concepts as Franks aims to deal with them simply and concretely.