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A guide to mathematical science resources available from the ANU Library

- Essential Calculus by James StewartCall Number: View online [ANU staff and students only]Publication Date: 2012ESSENTIAL CALCULUS,offers a concise approach to teaching calculus that focuses on major concepts, and supports those concepts with precise definitions, patient explanations, and carefully graded problems.
- Calculus: a Rigorous First Course by Daniel J. VellemanCall Number: View online [ANU staff and students only]Publication Date: 2017Designed for undergraduate mathematics majors, this rigorous and rewarding treatment covers the usual topics of first-year calculus: limits, derivatives, integrals, and infinite series. Author Daniel J. Velleman focuses on calculus a tool for problem solving rather than the subject's theoretical foundations.

- Linear algebra and its applications by Lay, David C.Call Number: View online [ANU staff and students only]Publication Date: 2016With its learner-friendly approach, the textbook starts with easier material, building confidence by introducing typically challenging concepts early on and gradually developing them. The book revisits those concepts throughout, ensuring you do not become overwhelmed when abstract concepts are introduced, as you progress with your learning.
- Elementary Linear Algebra by James R. Kirkwood; Bessie H. KirkwoodCall Number: View online [ANU staff and students only]Publication Date: 2017Elementary Linear Algebra is written for the first undergraduate course. The book focuses on the importance of linear algebra in many disciplines such as engineering, economics, statistics, and computer science.

- Set Theory-An Operational Approach by Luis E. SanchisCall Number: View online [ANU staff and students only]Publication Date: 2022This volume presents a novel approach to set theory that is entirely operational. This approach avoids the existential axioms associated with traditional Zermelo-Fraenkel set theory, and provides both a foundation for set theory and a practical approach to learning the subject.
- A Logical Foundation for Potentialist Set Theory by Sharon BerryCall Number: View online [ANU staff and students only]Publication Date: 2022In many ways set theory lies at the heart of modern mathematics, and it does powerful work both philosophical and mathematical - as a foundation for the subject. However, certain philosophical problems raise serious doubts about our acceptance of the axioms of set theory.

- Combinatorics and Number Theory of Counting Sequences by István MezõCall Number: View online [ANU staff and students only]Publication Date: 2019Combinatorics and Number Theory of Counting Sequencesis an introduction to the theory of finite set partitions and to the enumeration of cycle decompositions of permutations. The presentation prioritizes elementary enumerative proofs. Therefore, parts of the book are designed so that even those high school students and teachers who are interested in combinatorics can have the benefit of them.
- Combinatorics by Nicholas LoehrCall Number: View online [ANU staff and students only]Publication Date: 2017Combinatorics,is a well-rounded, general introduction to the subjects of enumerative, bijective, and algebraic combinatorics. The textbook emphasizes bijective proofs, which provide elegant solutions to counting problems by setting up one-to-one correspondences between two sets of combinatorial objects.
- Combinatorics: the Art of Counting by Bruce E. SaganCall Number: View online [ANU staff and students only]Publication Date: 2021This book is a gentle introduction to the enumerative part of combinatorics suitable for study at the advanced undergraduate or beginning graduate level.

- The Tools of Mathematical Reasoning by Tamara J. LakinsCall Number: View online [ANU staff and students only]Publication Date: 2016This accessible textbook gives beginning undergraduate mathematics students a first exposure to introductory logic, proofs, sets, functions, number theory, relations, finite and infinite sets, and the foundations of analysis
- The Oxford Handbook of Philosophy of Mathematics and Logic by Stewart Shapiro (Editor)Call Number: View online [ANU staff and students only]Publication Date: 2005Mathematics and logic have been central topics of concern since the dawn of philosophy. Since logic is the study of correct reasoning, it is a fundamental branch of epistemology and a priority in any philosophical system. Philosophers have focused on mathematics as a case study for general philosophical issues and for its role in overall knowledge- gathering.

- Handbook of Mathematical Induction by David S. GundersonCall Number: View online [ANU staff and students only]Publication Date: 2010Handbook of Mathematical Induction: Theory and Applications shows how to find and write proofs via mathematical induction. This comprehensive book covers the theory, the structure of the written proof, all standard exercises, and hundreds of application examples from nearly every area of mathematics.
- Theorems of the 21st Century by Bogdan GrechukCall Number: View online [ANU staff and students only]Publication Date: 2019This book consists of short descriptions of 106 mathematical theorems, which belong to the great achievements of 21st century mathematics but require relatively little mathematical background to understand their formulation and appreciate their importance.

- The Fascinating World of Graph Theory by Arthur Benjamin; Gary Chartrand; Ping ZhangCall Number: View online [ANU staff and students only]Publication Date: 2017The history, formulas, and most famous puzzles of graph theory Graph theory goes back several centuries and revolves around the study of graphs--mathematical structures showing relations between objects.
- Graph Theory by Ralucca Gera (Editor); Stephen Hedetniemi (Editor); Craig Larson (Editor)Call Number: View online [ANU staff and students only]Publication Date: 2016This is the first in a series of volumes, which provide an extensive overview of conjectures and open problems in graph theory. The readership of each volume is geared toward graduate students who may be searching for research ideas. However, the well-established mathematician will find the overall exposition engaging and enlightening.
- Graph Theory by Reinhard DiestelCall Number: Hancock QA166 .D51 2017Publication Date: 2017This standard textbook of modern graph theory, combines the authority of a classic with the engaging freshness of style that is the hallmark of active mathematics. It covers the core material of the subject with concise yet reliably complete proofs, while offering glimpses of more advanced methods in each field by one or two deeper results, again with proofs given in full detail.

- Chemistry : the central science by Brown, Theodore L, author.; Lufaso, Michael W., contributor.;Call Number: View online [ANU staff and students only]Publication Date: 2018For courses in two-semester general chemistry. Unrivaled problem sets, notable scientific accuracy and currency, and remarkable clarity have made Chemistry: The Central Science the leading general chemistry text for CHEM1101.
- Chemistry : 2e by Flowers, P. et al.Call Number: View online [ANU staff and students only]Publication Date: 2019Chemistry 2e is designed to meet the scope and sequence requirements of the two-semester general chemistry course. The textbook provides an important opportunity for students to learn the core concepts of chemistry and understand how those concepts apply to their lives and the world around them.
- Biochemistry by Raymond S. OchsCall Number: View online [ANU staff and students only]Publication Date: 2021Biochemistry Second Edition, is a single-semester text designed for undergraduate non-biochemistry majors.
- Principles of medical biochemistry by Meisenberg, Gerhard, Simmons, William H.,Call Number: View online [ANU staff and students only]ISBN: 0323391907Publication Date: 2019Principles of Medical Biochemistry has integrated medical biochemistry with molecular genetics, cell biology, and genetics to provide complete yet concise coverage that links biochemistry with clinical medicine.

- Last Updated: May 22, 2024 10:16 AM
- URL: https://libguides.anu.edu.au/mathematical-sciences
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