admin A more streamlined approach to advanced mathematics, mathematical reasoning, and problem-solving for Cambridge STEP, A-Level, Further Mathematics, and beyond.
Mathematics Elevate Academy is pleased to announce the publication of the Second Edition of the Mathematics Elevate STEP Series, featuring three core books designed to support students preparing for the Cambridge Sixth Term Examination Paper (STEP) and those seeking to develop stronger mathematical foundations for advanced study.
The three books are:
- STEP Pure Mathematics — Advanced Pure Mathematics and Problem Solving for Cambridge STEP, A-Level, Further Mathematics & Beyond.
- STEP Mathematical Mechanics — Advanced Mathematical Methods and Problem Solving for Cambridge STEP, A-Level, Further Mathematics & Beyond.
- STEP Probability & Statistics — Advanced Probability and Statistics for Cambridge STEP, A-Level, Further Mathematics & Beyond.
All three books are now published on Amazon in Kindle eBook and paperback formats. The Kindle editions are enrolled in KDP Select and available through Kindle Unlimited, providing eligible subscribers with an accessible way to explore the series.
Explore the collection on the official Mathematics Elevate Academy website:
https://www.mathematicselevacademy.com/step
A New Edition Built Around a Simpler Structure
The Second Edition represents an important development in the organisation of the Mathematics Elevate STEP Series.
The First Edition consisted of six books, organised into two volumes for each of the three core subject areas: Pure Mathematics, Mathematical Mechanics, and Probability & Statistics.
Although the original structure provided a way to divide the material into separate volumes, working with multiple books could make it less convenient for students who wanted to organise their preparation around a single subject.
For the Second Edition, the collection has been restructured into three consolidated books, one for each core subject area. The two-volume structure of each subject has been brought together into a single book, making the collection simpler to manage and easier to organise as part of a long-term study programme.
This change is intended to improve the overall reading and study experience. Instead of coordinating two separate volumes for a subject, students can work with one consolidated book for Pure Mathematics, Mechanics, or Probability & Statistics.
The result is a more streamlined three-book collection that preserves the series’ subject-based organisation while making the overall set more convenient to handle.
1. STEP Pure Mathematics
Advanced Pure Mathematics and Problem Solving for Cambridge STEP, A-Level, Further Mathematics & Beyond
Pure mathematics lies at the heart of advanced mathematical study. Success with challenging problems requires more than memorising identities or applying familiar procedures. Students must recognise mathematical structures, develop logical arguments, connect different areas of mathematics, and identify the most effective approach to unfamiliar questions.
STEP Pure Mathematics — Second Edition is designed for students who want to strengthen these abilities and develop a more rigorous approach to mathematical problem-solving.
The book supports preparation for Cambridge STEP while also serving students studying A-Level Mathematics and Further Mathematics who want to explore mathematics beyond routine examination exercises.
Its emphasis is on developing mathematical understanding and applying that understanding to demanding problems. Students are encouraged to approach each question methodically, recognise useful relationships, and construct solutions supported by clear reasoning.
Who should consider this book?
- Students preparing for Cambridge STEP examinations.
- A-Level Mathematics and Further Mathematics students seeking additional mathematical depth.
- Students preparing for the transition from school mathematics to university-level study.
- Independent learners who enjoy challenging problems and want to strengthen their mathematical reasoning.
Amazon Kindle edition: Preview STEP Pure Mathematics on Amazon
Amazon paperback: View the paperback edition
2. STEP Mathematical Mechanics
Advanced Mathematical Methods and Problem Solving for Cambridge STEP, A-Level, Further Mathematics & Beyond
Mathematical mechanics combines mathematical reasoning with the analysis of physical systems. It requires students to interpret a situation, construct an appropriate mathematical model, identify the governing principles, and translate those principles into a coherent solution.
In challenging mechanics problems, simply recalling a formula is rarely enough. Students must understand the physical meaning of the quantities involved, choose an appropriate modelling approach, establish the relevant equations, and carry out the necessary mathematical reasoning with precision.
STEP Mathematical Mechanics — Second Edition is intended for students developing these skills as part of their Cambridge STEP preparation and their broader study of A-Level Mathematics and Further Mathematics.
The book focuses on the mathematical thinking required to approach demanding mechanics problems systematically. By engaging with challenging questions and worked mathematical methods, students can develop greater confidence in interpreting physical situations and connecting mechanics principles with algebraic and analytical techniques.
Who should consider this book?
- Students preparing for STEP mechanics questions.
- A-Level Mathematics and Further Mathematics students looking for challenging mechanics practice.
- Students who want to strengthen their mathematical modelling and analytical reasoning.
- Learners preparing for the mathematical demands of university study.
Amazon Kindle edition: Preview STEP Mathematical Mechanics on Amazon
Amazon paperback: View the paperback edition
3. STEP Probability & Statistics
Advanced Probability and Statistics for Cambridge STEP, A-Level, Further Mathematics & Beyond
Probability and statistics demand a distinctive combination of mathematical precision, logical thinking, and careful interpretation. Problems can involve uncertainty, conditional events, random variables, distributions, expectations, and the relationships between different probabilistic quantities.
Developing proficiency in this area requires more than substituting values into standard formulas. Students need to understand the assumptions behind a model, select appropriate methods, interpret the information given, and build a complete mathematical argument.
STEP Probability & Statistics — Second Edition is designed to help students strengthen their understanding of these ideas and develop a more systematic approach to advanced probability and statistics problems.
The book supports Cambridge STEP preparation while also being relevant to students studying A-Level Mathematics and Further Mathematics who want to deepen their understanding of probabilistic reasoning and statistical methods.
The broader aim is to encourage students to move beyond routine calculations and approach unfamiliar questions with greater conceptual clarity, logical discipline, and mathematical independence.
Who should consider this book?
- Students preparing for STEP probability and statistics questions.
- A-Level Mathematics and Further Mathematics students seeking additional depth.
- Students who want to develop stronger probabilistic reasoning and quantitative problem-solving skills.
- Learners interested in the mathematical foundations of uncertainty and statistical analysis.
Amazon Kindle edition: Preview STEP Probability & Statistics on Amazon
Amazon paperback: View the paperback edition
Why Three Books Instead of Six?
The central structural change in the Second Edition is straightforward: two volumes per subject have been consolidated into one book per subject.
This creates a collection organised around three complementary branches of mathematics.
| Book | Core area | Main emphasis |
|---|---|---|
| STEP Pure Mathematics | Pure mathematics | Mathematical theory, logical reasoning, and advanced problem-solving |
| STEP Mathematical Mechanics | Mechanics | Mathematical modelling, physical interpretation, and analytical methods |
| STEP Probability & Statistics | Probability and statistics | Probabilistic reasoning, statistical methods, and quantitative analysis |
This structure offers several practical advantages.
1. Easier organisation
Students can keep the material for each subject together rather than coordinating separate volumes during their preparation.
2. A clearer study structure
The three-book format makes it easier to organise a revision programme around individual subjects, whether a student is strengthening one particular area or preparing across the full range.
3. Greater convenience
A consolidated book reduces the need to switch between separate volumes belonging to the same subject.
4. A coherent collection
The three books together provide a subject-based framework for studying Pure Mathematics, Mechanics, and Probability & Statistics as complementary components of advanced mathematical preparation.
The aim is not simply to reduce the number of books. It is to make the collection more practical for students who want a structured and manageable approach to challenging mathematics.
Beyond Examination Preparation
Cambridge STEP is known for testing students’ ability to reason mathematically and tackle problems that require more than routine application of familiar techniques. The examination is intended to assess mathematical thinking and problem-solving at a level that helps prepare students for undergraduate mathematical study.
For this reason, effective preparation should involve more than memorising formulas or completing large numbers of routine exercises. Students benefit from learning to interpret unfamiliar problems, identify relevant mathematical ideas, develop a plan, and communicate a rigorous solution.
The Mathematics Elevate STEP Series is designed with this broader objective in mind.
Across its three subject areas, the collection encourages students to engage with mathematics as a connected discipline. Pure Mathematics develops the foundations of analytical reasoning; Mechanics applies mathematical methods to physical systems; and Probability & Statistics explores mathematical approaches to uncertainty and data.
Together, these areas provide a useful framework for students seeking to develop greater mathematical maturity.
Although the books are written with Cambridge STEP preparation in mind, their potential use extends to A-Level and Further Mathematics students who want to challenge themselves beyond standard syllabus exercises, as well as learners preparing for the transition to university mathematics.
Kindle and Paperback Editions
All three Second Edition books are available on Amazon as Kindle eBooks and paperbacks.
The Kindle editions are enrolled in KDP Select, making them available through Kindle Unlimited for eligible subscribers. This offers readers another way to access the books digitally, subject to Amazon’s regional availability and subscription terms.
Students can choose the format that best suits their study habits. A Kindle edition can be convenient for reading on supported devices, while a paperback may be preferable for readers who like to work through problems on paper, annotate passages, or keep a physical mathematics reference beside them.
We recommend previewing each book on Amazon to review the available sample and decide which subject best matches your current preparation needs.
About the Author
Rishabh Kumar is the founder of Mathematics Elevate Academy and an educator focused on advanced mathematics, examination preparation, and mathematical problem-solving.
An alumnus of the Indian Statistical Institute, Kolkata, where he completed a master’s degree in Applied Statistics, Rishabh has a background spanning mathematics education, statistics, and quantitative problem-solving. His academic achievements include Rank 4 in the ISI Master’s Admission Test in 2022 and Rank 2 in the ISI PGDAS Admission Test in 2024.
Through Mathematics Elevate Academy, he develops learning resources intended to help students strengthen their conceptual understanding, improve their problem-solving methods, and prepare for demanding mathematical examinations.
The Mathematics Elevate STEP Series reflects this educational approach: to encourage students not only to learn mathematical techniques, but also to understand the reasoning that makes those techniques work.
Explore the Mathematics Elevate STEP Series
The Second Edition brings the collection together in a simpler, more manageable format: three books covering the three core subject areas of Pure Mathematics, Mathematical Mechanics, and Probability & Statistics.
Whether you are preparing for Cambridge STEP, studying A-Level Mathematics or Further Mathematics, or looking to strengthen your ability to solve challenging mathematical problems, these books offer a subject-focused way to organise your learning.
Explore the full collection, review the book details, and preview the available editions on Amazon through the official Mathematics Elevate Academy STEP page:
Explore the Mathematics Elevate STEP Series
Choose your subject, explore the available samples, and build a more structured approach to advanced mathematical problem-solving.
Think deeply. Reason precisely. Solve beyond the syllabus.
Mathematics Elevate — Advancing Mathematical Understanding.
